ScaDaMaLe Course site and book

Power Plant ML Pipeline Application

This is an end-to-end example of using a number of different machine learning algorithms to solve a supervised regression problem.

Table of Contents

  • Step 1: Business Understanding
  • Step 2: Load Your Data
  • Step 3: Explore Your Data
  • Step 4: Visualize Your Data
  • Step 5: Data Preparation
  • Step 6: Data Modeling
  • Step 7: Tuning and Evaluation
  • Step 8: Deployment

We are trying to predict power output given a set of readings from various sensors in a gas-fired power generation plant. Power generation is a complex process, and understanding and predicting power output is an important element in managing a plant and its connection to the power grid.

More information about Peaker or Peaking Power Plants can be found on Wikipedia https://en.wikipedia.org/wiki/Peakingpowerplant

Given this business problem, we need to translate it to a Machine Learning task. The ML task is regression since the label (or target) we are trying to predict is numeric.

The example data is provided by UCI at UCI Machine Learning Repository Combined Cycle Power Plant Data Set

You can read the background on the UCI page, but in summary we have collected a number of readings from sensors at a Gas Fired Power Plant

(also called a Peaker Plant) and now we want to use those sensor readings to predict how much power the plant will generate.

More information about Machine Learning with Spark can be found in the Spark MLLib Programming Guide

Please note this example only works with Spark version 1.4 or higher



To Rerun Steps 1-4 done in the notebook at:

  • Workspace -> PATH_TO -> 009_PowerPlantPipeline_01ETLEDA]

just run the following command as shown in the cell below:

%run "/PATH_TO/009_PowerPlantPipeline_01ETLEDA"
  • Note: If you already evaluated the %run ... command above then:

    • first delete the cell by pressing on x on the top-right corner of the cell and
    • revaluate the run command above.
"../000_1-sds-3-x-sql/009_PowerPlantPipeline_01ETLEDA" 


Now we will do the following Steps:

Step 5: Data Preparation,

Step 6: Modeling, and

Step 7: Tuning and Evaluation

We will do Step 8: Deployment later after we get introduced to SparkStreaming.

Step 5: Data Preparation

The next step is to prepare the data. Since all of this data is numeric and consistent, this is a simple task for us today.

We will need to convert the predictor features from columns to Feature Vectors using the org.apache.spark.ml.feature.VectorAssembler

The VectorAssembler will be the first step in building our ML pipeline.

res2: Int = 321
//Let's quickly recall the schema and make sure our table is here now
table("power_plant_table").printSchema
root
 |-- AT: double (nullable = true)
 |-- V: double (nullable = true)
 |-- AP: double (nullable = true)
 |-- RH: double (nullable = true)
 |-- PE: double (nullable = true)
path name size modificationTime
dbfs:/datasets/sds/power-plant/data/Sheet1.tsv Sheet1.tsv 308693.0 1.664295999e12
dbfs:/datasets/sds/power-plant/data/Sheet2.tsv Sheet2.tsv 308693.0 1.664295998e12
dbfs:/datasets/sds/power-plant/data/Sheet3.tsv Sheet3.tsv 308693.0 1.664295999e12
dbfs:/datasets/sds/power-plant/data/Sheet4.tsv Sheet4.tsv 308693.0 1.664295998e12
dbfs:/datasets/sds/power-plant/data/Sheet5.tsv Sheet5.tsv 308693.0 1.664295998e12
powerPlantDF // make sure we have the DataFrame too
res21: org.apache.spark.sql.DataFrame = [AT: double, V: double ... 3 more fields]
powerPlantRDD: org.apache.spark.rdd.RDD[String] = /datasets/sds/power-plant/data/Sheet1.tsv MapPartitionsRDD[1] at textFile at command-2971213210277530:1
AT	V	AP	RH	PE
14.96	41.76	1024.07	73.17	463.26
25.18	62.96	1020.04	59.08	444.37
5.11	39.4	1012.16	92.14	488.56
20.86	57.32	1010.24	76.64	446.48
powerPlantDF: org.apache.spark.sql.DataFrame = [AT: double, V: double ... 3 more fields]
import org.apache.spark.ml.feature.VectorAssembler

// make a DataFrame called dataset from the table
val dataset = sqlContext.table("power_plant_table") 

val vectorizer =  new VectorAssembler()
                      .setInputCols(Array("AT", "V", "AP", "RH"))
                      .setOutputCol("features")
import org.apache.spark.ml.feature.VectorAssembler
dataset: org.apache.spark.sql.DataFrame = [AT: double, V: double ... 3 more fields]
vectorizer: org.apache.spark.ml.feature.VectorAssembler = VectorAssembler: uid=vecAssembler_38ac3d0b0ea7, handleInvalid=error, numInputCols=4
root
 |-- AT: double (nullable = true)
 |-- V: double (nullable = true)
 |-- AP: double (nullable = true)
 |-- RH: double (nullable = true)
 |-- PE: double (nullable = true)
res9: Long = 9568
+-----+-----+-------+-----+------+
|   AT|    V|     AP|   RH|    PE|
+-----+-----+-------+-----+------+
|14.96|41.76|1024.07|73.17|463.26|
|25.18|62.96|1020.04|59.08|444.37|
| 5.11| 39.4|1012.16|92.14|488.56|
|20.86|57.32|1010.24|76.64|446.48|
|10.82| 37.5|1009.23|96.62| 473.9|
|26.27|59.44|1012.23|58.77|443.67|
|15.89|43.96|1014.02|75.24|467.35|
| 9.48|44.71|1019.12|66.43|478.42|
|14.64| 45.0|1021.78|41.25|475.98|
|11.74|43.56|1015.14|70.72| 477.5|
+-----+-----+-------+-----+------+
only showing top 10 rows
AT V AP RH PE
14.96 41.76 1024.07 73.17 463.26
25.18 62.96 1020.04 59.08 444.37
5.11 39.4 1012.16 92.14 488.56
20.86 57.32 1010.24 76.64 446.48
10.82 37.5 1009.23 96.62 473.9
26.27 59.44 1012.23 58.77 443.67
15.89 43.96 1014.02 75.24 467.35
9.48 44.71 1019.12 66.43 478.42
14.64 45.0 1021.78 41.25 475.98
11.74 43.56 1015.14 70.72 477.5
17.99 43.72 1008.64 75.04 453.02
20.14 46.93 1014.66 64.22 453.99
24.34 73.5 1011.31 84.15 440.29
25.71 58.59 1012.77 61.83 451.28
26.19 69.34 1009.48 87.59 433.99
21.42 43.79 1015.76 43.08 462.19
18.21 45.0 1022.86 48.84 467.54
11.04 41.74 1022.6 77.51 477.2
14.45 52.75 1023.97 63.59 459.85
13.97 38.47 1015.15 55.28 464.3
17.76 42.42 1009.09 66.26 468.27
5.41 40.07 1019.16 64.77 495.24
7.76 42.28 1008.52 83.31 483.8
27.23 63.9 1014.3 47.19 443.61
27.36 48.6 1003.18 54.93 436.06
27.47 70.72 1009.97 74.62 443.25
14.6 39.31 1011.11 72.52 464.16
7.91 39.96 1023.57 88.44 475.52
5.81 35.79 1012.14 92.28 484.41
30.53 65.18 1012.69 41.85 437.89
23.87 63.94 1019.02 44.28 445.11
26.09 58.41 1013.64 64.58 438.86
29.27 66.85 1011.11 63.25 440.98
27.38 74.16 1010.08 78.61 436.65
24.81 63.94 1018.76 44.51 444.26
12.75 44.03 1007.29 89.46 465.86
24.66 63.73 1011.4 74.52 444.37
16.38 47.45 1010.08 88.86 450.69
13.91 39.35 1014.69 75.51 469.02
23.18 51.3 1012.04 78.64 448.86
22.47 47.45 1007.62 76.65 447.14
13.39 44.85 1017.24 80.44 469.18
9.28 41.54 1018.33 79.89 482.8
11.82 42.86 1014.12 88.28 476.7
10.27 40.64 1020.63 84.6 474.99
22.92 63.94 1019.28 42.69 444.22
16.0 37.87 1020.24 78.41 461.33
21.22 43.43 1010.96 61.07 448.06
13.46 44.71 1014.51 50.0 474.6
9.39 40.11 1029.14 77.29 473.05
31.07 73.5 1010.58 43.66 432.06
12.82 38.62 1018.71 83.8 467.41
32.57 78.92 1011.6 66.47 430.12
8.11 42.18 1014.82 93.09 473.62
13.92 39.39 1012.94 80.52 471.81
23.04 59.43 1010.23 68.99 442.99
27.31 64.44 1014.65 57.27 442.77
5.91 39.33 1010.18 95.53 491.49
25.26 61.08 1013.68 71.72 447.46
27.97 58.84 1002.25 57.88 446.11
26.08 52.3 1007.03 63.34 442.44
29.01 65.71 1013.61 48.07 446.22
12.18 40.1 1016.67 91.87 471.49
13.76 45.87 1008.89 87.27 463.5
25.5 58.79 1016.02 64.4 440.01
28.26 65.34 1014.56 43.4 441.03
21.39 62.96 1019.49 72.24 452.68
7.26 40.69 1020.43 90.22 474.91
10.54 34.03 1018.71 74.0 478.77
27.71 74.34 998.14 71.85 434.2
23.11 68.3 1017.83 86.62 437.91
7.51 41.01 1024.61 97.41 477.61
26.46 74.67 1016.65 84.44 431.65
29.34 74.34 998.58 81.55 430.57
10.32 42.28 1008.82 75.66 481.09
22.74 61.02 1009.56 79.41 445.56
13.48 39.85 1012.71 58.91 475.74
25.52 69.75 1010.36 90.06 435.12
21.58 67.25 1017.39 79.0 446.15
27.66 76.86 1001.31 69.47 436.64
26.96 69.45 1013.89 51.47 436.69
12.29 42.18 1016.53 83.13 468.75
15.86 43.02 1012.18 40.33 466.6
13.87 45.08 1024.42 81.69 465.48
24.09 73.68 1014.93 94.55 441.34
20.45 69.45 1012.53 91.81 441.83
15.07 39.3 1019.0 63.62 464.7
32.72 69.75 1009.6 49.35 437.99
18.23 58.96 1015.55 69.61 459.12
35.56 68.94 1006.56 38.75 429.69
18.36 51.43 1010.57 90.17 459.8
26.35 64.05 1009.81 81.24 433.63
25.92 60.95 1014.62 48.46 442.84
8.01 41.66 1014.49 76.72 485.13
19.63 52.72 1025.09 51.16 459.12
20.02 67.32 1012.05 76.34 445.31
10.08 40.72 1022.7 67.3 480.8
27.23 66.48 1005.23 52.38 432.55
23.37 63.77 1013.42 76.44 443.86
18.74 59.21 1018.3 91.55 449.77
14.81 43.69 1017.19 71.9 470.71
23.1 51.3 1011.93 80.05 452.17
10.72 41.38 1021.6 63.77 478.29
29.46 71.94 1006.96 62.26 428.54
8.1 40.64 1020.66 89.04 478.27
27.29 62.66 1007.63 58.02 439.58
17.1 49.69 1005.53 81.82 457.32
11.49 44.2 1018.79 91.14 475.51
23.69 65.59 1010.85 88.92 439.66
13.51 40.89 1011.03 84.83 471.99
9.64 39.35 1015.1 91.76 479.81
25.65 78.92 1010.83 86.56 434.78
21.59 61.87 1011.18 57.21 446.58
27.98 58.33 1013.92 54.25 437.76
18.8 39.72 1001.24 63.8 459.36
18.28 44.71 1016.99 33.71 462.28
13.55 43.48 1016.08 67.25 464.33
22.99 46.21 1010.71 60.11 444.36
23.94 59.39 1014.32 74.55 438.64
13.74 34.03 1018.69 67.34 470.49
21.3 41.1 1001.86 42.75 455.13
27.54 66.93 1017.06 55.2 450.22
24.81 63.73 1009.34 83.61 440.43
4.97 42.85 1014.02 88.78 482.98
15.22 50.88 1014.19 100.12 460.44
23.88 54.2 1012.81 64.52 444.97
33.01 68.67 1005.2 51.41 433.94
25.98 73.18 1012.28 85.78 439.73
28.18 73.88 1005.89 75.41 434.48
21.67 60.84 1017.93 81.63 442.33
17.67 45.09 1014.26 51.92 457.67
21.37 57.76 1018.8 70.12 454.66
28.69 67.25 1017.71 53.83 432.21
16.61 43.77 1012.25 77.23 457.66
27.91 63.76 1010.27 65.67 435.21
20.97 47.43 1007.64 71.18 448.22
10.8 41.66 1013.79 81.96 475.51
20.61 62.91 1013.24 79.54 446.53
25.45 57.32 1011.7 47.09 441.3
30.16 69.34 1007.67 57.69 433.54
4.99 39.04 1020.45 78.89 472.52
10.51 44.78 1012.59 85.29 474.77
33.79 69.05 1001.62 40.13 435.1
21.34 59.8 1016.92 77.06 450.74
23.4 65.06 1014.32 67.38 442.7
32.21 68.14 1003.34 62.44 426.56
14.26 42.32 1016.0 77.43 463.71
27.71 66.93 1016.85 58.77 447.06
21.95 57.76 1018.02 67.72 452.27
25.76 63.94 1018.49 42.14 445.78
23.68 68.3 1017.93 84.16 438.65
8.28 40.77 1011.55 89.79 480.15
23.44 62.52 1016.46 67.21 447.19
25.32 48.41 1008.47 72.14 443.04
3.94 39.9 1008.06 97.49 488.81
17.3 57.76 1016.26 87.74 455.75
18.2 49.39 1018.83 96.3 455.86
21.43 46.97 1013.94 61.25 457.68
11.16 40.05 1014.95 88.38 479.11
30.38 74.16 1007.44 74.77 432.84
23.36 62.52 1016.18 68.18 448.37
21.69 47.45 1007.56 77.2 447.06
23.62 49.21 1014.1 49.54 443.53
21.87 61.45 1011.13 92.22 445.21
29.25 66.51 1015.53 33.65 441.7
20.03 66.86 1013.05 64.59 450.93
18.14 49.78 1002.95 100.09 451.44
24.23 56.89 1012.32 68.04 441.29
18.11 44.85 1014.48 48.94 458.85
6.57 43.65 1018.24 74.47 481.46
12.56 43.41 1016.93 81.02 467.19
13.4 41.58 1020.5 71.17 461.54
27.1 52.84 1006.28 53.85 439.08
14.28 42.74 1028.79 70.67 467.22
16.29 44.34 1019.49 59.36 468.8
31.24 71.98 1004.66 57.17 426.93
10.57 37.73 1024.36 70.29 474.65
13.8 44.21 1022.93 83.37 468.97
25.3 71.58 1010.18 87.36 433.97
18.06 50.16 1009.52 100.09 450.53
25.42 59.04 1011.98 68.78 444.51
15.07 40.69 1015.29 70.98 469.03
11.75 71.14 1019.36 75.68 466.56
20.23 52.05 1012.15 47.49 457.57
27.31 59.54 1006.24 71.99 440.13
28.57 69.84 1003.57 66.55 433.24
17.9 43.72 1008.64 74.73 452.55
23.83 71.37 1002.04 64.78 443.29
27.92 74.99 1005.47 75.13 431.76
17.34 44.78 1007.81 56.38 454.97
17.94 63.07 1012.42 94.35 456.7
6.4 39.9 1007.75 86.55 486.03
11.78 39.96 1011.37 82.95 472.79
20.28 57.25 1010.12 88.42 452.03
21.04 54.2 1012.26 85.61 443.41
25.11 67.32 1014.49 58.39 441.93
30.28 70.98 1007.51 74.28 432.64
8.14 36.24 1013.15 87.85 480.25
16.86 39.63 1004.47 83.5 466.68
6.25 40.07 1020.19 65.24 494.39
22.35 54.42 1012.46 75.01 454.72
17.98 56.85 1012.28 84.52 448.71
21.19 42.48 1013.43 80.52 469.76
20.94 44.89 1009.64 75.14 450.71
24.23 58.79 1009.8 75.75 444.01
19.18 58.2 1017.46 76.72 453.2
20.88 57.85 1012.39 85.47 450.87
23.67 63.86 1019.67 57.95 441.73
14.12 39.52 1018.41 78.32 465.09
25.23 64.63 1020.59 52.2 447.28
6.54 39.33 1011.54 93.69 491.16
20.08 62.52 1017.99 75.74 450.98
24.67 63.56 1013.75 67.56 446.3
27.82 79.74 1008.37 69.46 436.48
15.55 42.03 1017.41 74.58 460.84
24.26 69.51 1013.43 53.23 442.56
13.45 41.49 1020.19 88.72 467.3
11.06 40.64 1021.47 96.16 479.13
24.91 52.3 1008.72 68.26 441.15
22.39 59.04 1011.78 86.39 445.52
11.95 40.69 1015.62 85.34 475.4
14.85 40.69 1014.91 72.64 469.3
10.11 41.62 1017.17 97.82 463.57
23.67 68.67 1006.71 77.22 445.32
16.14 44.21 1020.36 80.59 461.03
15.11 43.13 1014.99 46.91 466.74
24.14 59.87 1018.47 57.76 444.04
30.08 67.25 1017.6 53.09 434.01
14.77 44.9 1020.5 84.31 465.23
27.6 69.34 1009.63 71.58 440.6
13.89 44.84 1023.66 92.97 466.74
26.85 75.6 1017.43 74.55 433.48
12.41 40.96 1023.36 78.96 473.59
13.08 41.74 1020.75 64.44 474.81
18.93 44.06 1017.58 68.23 454.75
20.5 49.69 1009.6 70.81 452.94
30.72 69.13 1009.94 61.66 435.83
7.55 39.22 1014.53 77.76 482.19
13.49 44.47 1030.46 69.49 466.66
15.62 40.12 1013.03 96.26 462.59
24.8 64.63 1020.69 55.74 447.82
10.03 41.62 1014.55 95.61 462.73
22.43 63.21 1012.06 84.75 447.98
14.95 39.31 1009.15 75.3 462.72
24.78 58.46 1016.82 67.5 442.42
23.2 48.41 1008.64 80.92 444.69
14.01 39.0 1016.73 79.23 466.7
19.4 64.63 1020.38 81.1 453.84
30.15 67.32 1013.83 32.8 436.92
6.91 36.08 1021.82 84.31 486.37
29.04 60.07 1015.42 46.15 440.43
26.02 63.07 1010.94 53.96 446.82
5.89 39.48 1005.11 59.83 484.91
26.52 71.64 1008.27 75.3 437.76
28.53 68.08 1013.27 42.53 438.91
16.59 39.54 1007.97 70.58 464.19
22.95 67.79 1009.89 91.69 442.19
23.96 47.43 1008.38 63.55 446.86
17.48 44.2 1018.89 61.51 457.15
6.69 43.65 1020.14 69.55 482.57
10.25 41.26 1007.44 98.08 476.03
28.87 72.58 1008.69 79.34 428.89
12.04 40.23 1018.07 81.28 472.7
22.58 52.3 1009.04 78.99 445.6
15.12 52.05 1014.63 80.38 464.78
25.48 58.95 1017.02 51.16 440.42
27.87 70.79 1003.96 72.17 428.41
23.72 70.47 1010.65 75.39 438.5
25.0 59.43 1007.84 68.91 438.28
8.42 40.64 1022.35 96.38 476.29
22.46 58.49 1011.5 70.54 448.46
29.92 57.19 1008.62 45.8 438.99
11.68 39.22 1017.9 57.95 471.8
14.04 42.44 1012.74 81.89 471.81
19.86 59.14 1016.12 69.32 449.82
25.99 68.08 1013.13 59.14 442.14
23.42 58.79 1009.74 81.54 441.46
10.6 40.22 1011.37 85.81 477.62
20.97 61.87 1011.45 65.41 446.76
14.14 39.82 1012.46 81.15 472.52
8.56 40.71 1021.27 95.87 471.58
24.86 72.39 1001.15 90.24 440.85
29.0 77.54 1011.33 75.13 431.37
27.59 71.97 1008.64 88.22 437.33
10.45 40.71 1015.68 81.48 469.22
8.51 40.78 1023.51 89.84 471.11
29.82 66.51 1010.98 43.57 439.17
22.56 62.26 1012.11 63.16 445.33
11.38 39.22 1018.62 57.14 473.71
20.25 57.76 1016.28 77.76 452.66
22.42 59.43 1007.12 90.56 440.99
14.85 38.91 1014.48 60.98 467.42
25.62 58.82 1010.02 70.31 444.14
19.85 56.53 1020.57 74.05 457.17
13.67 54.3 1015.92 75.42 467.87
24.39 70.72 1009.78 82.25 442.04
16.07 44.58 1019.52 67.95 471.36
11.6 39.1 1009.81 100.09 460.7
31.38 70.83 1010.35 47.28 431.33
29.91 76.86 998.59 72.41 432.6
19.67 59.39 1014.07 77.67 447.61
27.18 64.79 1016.27 63.7 443.87
21.39 52.3 1009.2 79.77 446.87
10.45 41.01 1020.57 93.84 465.74
19.46 56.89 1014.02 84.95 447.86
23.55 62.96 1020.16 70.16 447.65
23.35 63.47 1011.78 84.24 437.87
9.26 41.66 1016.87 73.32 483.51
10.3 41.46 1018.21 86.17 479.65
20.94 58.16 1016.88 65.43 455.16
23.13 71.25 1002.49 94.59 431.91
12.77 41.5 1014.13 86.8 470.68
28.29 69.13 1009.29 58.18 429.28
19.13 59.21 1018.32 89.66 450.81
24.44 73.5 1011.49 87.39 437.73
20.32 44.6 1015.16 36.35 460.21
20.54 69.05 1001.6 79.62 442.86
12.16 45.0 1021.51 50.52 482.99
28.09 65.27 1013.27 51.96 440.0
9.25 41.82 1033.25 74.73 478.48
21.75 49.82 1015.01 78.33 455.28
23.7 66.56 1002.07 85.19 436.94
16.22 37.87 1022.36 83.13 461.06
24.75 69.45 1013.97 53.49 438.28
10.48 39.58 1011.81 88.86 472.61
29.53 70.79 1003.7 60.89 426.85
12.59 39.72 1017.76 61.14 470.18
23.5 54.42 1012.31 68.29 455.38
29.01 66.56 1006.44 57.62 428.32
9.75 42.49 1010.57 83.63 480.35
19.55 56.53 1020.2 78.1 455.56
21.05 58.33 1013.14 66.34 447.66
24.72 68.67 1006.74 79.02 443.06
21.19 58.86 1014.19 68.96 452.43
10.77 41.54 1019.94 71.13 477.81
28.68 73.77 1004.72 87.01 431.66
29.87 73.91 1004.53 74.3 431.8
22.99 68.67 1006.65 77.62 446.67
24.66 60.29 1018.0 59.56 445.26
32.63 69.89 1013.85 41.66 425.72
31.38 72.29 1008.73 73.27 430.58
23.87 60.27 1018.94 77.16 439.86
25.6 59.15 1013.31 67.02 441.11
27.62 71.14 1011.6 52.8 434.72
30.1 67.45 1014.23 39.04 434.01
12.19 41.17 1019.43 65.47 475.64
13.11 41.58 1020.43 74.32 460.44
28.29 68.67 1005.46 69.22 436.4
13.45 40.73 1018.7 93.88 461.03
10.98 41.54 1019.94 69.83 479.08
26.48 69.14 1009.31 84.11 435.76
13.07 45.51 1015.22 78.65 460.14
25.56 75.6 1017.37 69.31 442.2
22.68 50.78 1008.83 70.3 447.69
28.86 73.67 1006.65 68.23 431.15
22.7 63.56 1014.32 71.76 445.0
27.89 73.21 1001.32 85.88 431.59
13.78 44.47 1027.94 71.09 467.22
28.14 51.43 1012.16 52.67 445.33
11.8 45.09 1013.21 89.68 470.57
10.71 39.61 1018.72 73.66 473.77
24.54 60.29 1017.42 58.94 447.67
11.54 40.05 1014.78 87.05 474.29
29.47 71.32 1008.07 67.0 437.14
29.24 69.05 1003.12 43.18 432.56
14.51 41.79 1009.72 80.62 459.14
22.91 60.07 1016.03 59.72 446.19
27.02 71.77 1006.38 72.1 428.1
13.49 44.47 1030.18 69.15 468.46
30.24 66.75 1017.95 55.66 435.02
23.19 48.6 1002.38 61.19 445.52
17.73 40.55 1003.36 74.62 462.69
18.62 61.27 1019.26 73.35 455.75
12.85 40.0 1015.89 68.85 463.74
32.33 69.68 1011.95 39.89 439.79
25.09 58.95 1016.99 53.16 443.26
29.45 69.13 1009.3 52.97 432.04
16.91 43.96 1013.32 79.87 465.86
14.09 45.87 1009.05 84.09 465.6
10.73 25.36 1009.35 100.15 469.43
23.2 49.3 1003.4 79.77 440.75
8.21 38.91 1015.82 88.99 481.32
9.3 40.56 1022.64 76.14 479.87
16.97 39.16 1005.7 69.13 458.59
23.69 71.97 1009.62 93.03 438.62
25.13 59.44 1012.38 77.92 445.59
9.86 43.56 1015.13 74.89 481.87
11.33 41.5 1013.58 88.7 475.01
26.95 48.41 1008.53 62.94 436.54
15.0 40.66 1016.28 89.62 456.63
20.76 62.52 1015.63 81.04 451.69
14.29 39.59 1010.93 94.53 463.04
19.74 67.71 1007.68 64.02 446.1
26.68 59.92 1009.94 70.57 438.67
14.24 41.4 1019.7 70.32 466.88
21.98 48.41 1008.42 84.86 444.6
22.75 59.39 1015.4 81.41 440.26
8.34 40.96 1023.28 89.45 483.92
11.8 41.2 1017.18 82.71 475.19
8.81 44.68 1023.06 93.93 479.24
30.05 73.68 1014.95 70.6 434.92
16.01 65.46 1014.0 87.68 454.16
21.75 58.79 1012.42 87.58 447.58
13.94 41.26 1021.67 74.4 467.9
29.25 69.13 1010.27 67.35 426.29
22.33 45.87 1007.8 63.61 447.02
16.43 41.79 1005.47 76.89 455.85
11.5 40.22 1010.31 78.08 476.46
23.53 68.94 1007.53 69.17 437.48
21.86 49.21 1014.61 53.31 452.77
6.17 39.33 1012.57 93.32 491.54
30.19 64.79 1017.22 42.47 438.41
11.67 41.93 1019.81 82.58 476.1
15.34 36.99 1007.87 94.59 464.58
11.5 40.78 1023.91 86.31 467.74
25.53 57.17 1010.0 72.57 442.12
21.27 57.5 1014.53 80.76 453.34
28.37 69.13 1010.44 71.93 425.29
28.39 51.43 1011.74 47.54 449.63
13.78 45.78 1025.27 95.72 462.88
14.6 42.32 1015.71 77.03 464.67
5.1 35.57 1027.17 80.49 489.96
7.0 38.08 1020.27 77.67 482.38
26.3 77.95 1009.45 78.72 437.95
30.56 71.98 1004.74 58.77 429.2
21.09 46.63 1013.03 74.8 453.34
28.21 70.02 1010.58 51.34 442.47
15.84 49.69 1015.14 90.41 462.6
10.03 40.96 1024.57 91.1 478.79
20.37 52.05 1012.34 62.57 456.11
21.19 50.16 1005.81 84.27 450.33
33.73 69.88 1007.21 42.93 434.83
29.87 73.68 1015.1 40.96 433.43
19.62 62.96 1020.76 76.53 456.02
9.93 40.67 1018.08 69.74 485.23
9.43 37.14 1013.03 74.99 473.57
14.24 39.58 1011.17 70.45 469.94
12.97 49.83 1008.69 91.49 452.07
7.6 41.04 1021.82 88.97 475.32
8.39 36.24 1013.39 89.13 480.69
25.41 48.06 1013.12 46.52 444.01
18.43 56.03 1020.41 60.55 465.17
10.31 39.82 1012.87 88.71 480.61
11.29 41.5 1013.39 89.15 476.04
22.61 49.3 1003.51 83.02 441.76
29.34 71.98 1005.19 75.19 428.24
18.87 67.71 1004.0 87.35 444.77
13.21 45.87 1008.58 85.66 463.1
11.3 44.6 1018.19 91.66 470.5
29.23 72.99 1007.04 63.47 431.0
27.76 69.4 1004.27 72.25 430.68
29.26 67.17 1006.6 70.58 436.42
25.72 49.82 1016.19 60.1 452.33
23.43 63.94 1010.64 89.29 440.16
25.6 63.76 1010.18 67.43 435.75
22.3 44.57 1008.48 67.58 449.74
27.91 72.24 1010.74 70.8 430.73
30.35 77.17 1009.55 63.62 432.75
21.78 47.43 1007.88 66.68 446.79
7.19 41.39 1018.12 90.76 486.35
20.88 59.8 1015.66 75.34 453.18
24.19 50.23 1015.73 59.77 458.31
9.98 41.54 1019.7 80.79 480.26
23.47 51.3 1011.89 74.1 448.65
26.35 49.5 1012.67 41.34 458.41
29.89 64.69 1006.37 58.78 435.39
19.29 50.16 1010.49 97.78 450.21
17.48 43.14 1018.68 74.85 459.59
25.21 75.6 1017.19 69.84 445.84
23.3 48.78 1018.17 75.36 441.08
15.42 37.85 1009.89 85.8 467.33
21.44 63.09 1016.56 90.11 444.19
29.45 68.27 1007.96 61.63 432.96
29.69 47.93 1002.85 44.76 438.09
15.52 36.99 1006.86 89.7 467.9
11.47 43.67 1012.68 72.51 475.72
9.77 34.69 1027.72 74.98 477.51
22.6 69.84 1006.37 79.59 435.13
8.24 39.61 1017.99 78.42 477.9
17.01 44.2 1019.18 61.23 457.26
19.64 44.6 1015.88 47.56 467.53
10.61 41.58 1021.08 93.06 465.15
12.04 40.1 1014.42 89.65 474.28
29.19 65.71 1013.85 50.5 444.49
21.75 45.09 1014.15 44.84 452.84
23.66 77.54 1008.5 85.32 435.38
27.05 75.33 1003.88 82.94 433.57
29.63 69.71 1009.04 67.26 435.27
18.2 39.63 1005.35 79.05 468.49
32.22 70.8 1009.9 62.03 433.07
26.88 73.56 1004.85 94.36 430.63
29.05 65.74 1013.29 60.02 440.74
8.9 39.96 1026.31 95.46 474.49
18.93 48.6 1005.72 84.92 449.74
27.49 63.76 1010.09 62.8 436.73
23.1 70.79 1006.53 90.81 434.58
11.22 43.13 1017.24 80.9 473.93
31.97 79.74 1007.03 55.84 435.99
13.32 43.22 1009.45 75.3 466.83
31.68 68.24 1005.29 37.34 427.22
23.69 63.77 1013.39 79.5 444.07
13.83 41.49 1020.11 87.29 469.57
18.32 66.51 1015.18 81.5 459.89
11.05 40.71 1024.91 76.42 479.59
22.03 64.69 1007.21 75.75 440.92
10.23 41.46 1020.45 84.95 480.87
23.92 66.54 1009.93 62.37 441.9
29.38 69.68 1011.35 49.25 430.2
17.35 42.86 1014.62 74.16 465.16
9.81 44.45 1021.19 90.55 471.32
4.97 40.64 1020.91 94.28 485.43
5.15 40.07 1012.27 63.31 495.35
21.54 58.49 1010.85 78.9 449.12
7.94 42.02 1006.22 90.97 480.53
18.77 50.66 1014.89 87.34 457.07
21.69 69.94 1010.7 80.8 443.67
10.07 44.68 1023.44 90.95 477.52
13.83 39.64 1012.52 69.97 472.95
10.45 39.69 1003.92 89.45 472.54
11.56 40.71 1015.85 76.08 469.17
23.64 70.04 1011.09 83.35 435.21
10.48 40.22 1004.81 92.16 477.78
13.09 39.85 1012.86 58.42 475.89
10.67 40.23 1017.75 85.06 483.9
12.57 39.16 1016.53 88.91 476.2
14.45 43.34 1015.47 83.33 462.16
14.22 37.85 1011.24 88.49 471.05
6.97 41.26 1010.6 96.88 484.71
20.61 63.86 1015.43 73.86 446.34
14.67 42.28 1007.21 65.17 469.02
29.06 72.86 1004.23 69.41 432.12
14.38 40.1 1015.51 81.23 467.28
32.51 69.98 1013.29 54.07 429.66
11.79 45.09 1013.16 89.17 469.49
8.65 40.56 1023.23 78.85 485.87
9.75 40.81 1026.0 84.44 481.95
9.11 40.02 1031.1 83.02 479.03
23.39 69.13 1010.99 90.66 434.5
14.3 54.3 1015.16 75.29 464.9
17.49 63.94 1020.02 82.6 452.71
31.1 69.51 1010.84 45.4 429.74
19.77 56.65 1020.67 66.33 457.09
28.61 72.29 1011.61 45.33 446.77
13.52 41.48 1014.46 67.12 460.76
13.52 40.83 1008.31 84.14 471.95
17.57 46.21 1014.09 80.81 453.29
28.18 60.07 1016.34 49.13 441.61
14.29 46.18 1017.01 87.29 464.73
18.12 43.69 1016.91 52.95 464.68
31.27 73.91 1003.72 68.92 430.59
26.24 77.95 1014.19 85.21 438.01
7.44 41.04 1021.84 88.56 479.08
29.78 74.78 1009.28 55.09 436.39
23.37 65.46 1016.25 48.64 447.07
10.62 39.58 1011.9 87.85 479.91
5.84 43.02 1013.88 87.42 489.05
14.51 53.82 1016.46 62.75 463.17
11.31 42.02 1001.18 94.86 471.26
11.25 40.67 1011.64 63.54 480.49
9.18 39.42 1025.41 69.46 473.78
19.82 58.16 1016.76 74.66 455.5
24.77 58.41 1013.78 80.57 446.27
9.66 41.06 1021.21 84.7 482.2
21.96 59.8 1016.72 72.6 452.48
18.59 43.14 1011.92 52.63 464.48
24.75 69.89 1015.29 82.01 438.1
24.37 63.47 1012.77 75.22 445.6
29.6 67.79 1010.37 51.05 442.43
25.32 61.25 1011.56 80.1 436.67
16.15 41.85 1016.54 81.58 466.56
15.74 71.14 1019.65 65.94 457.29
5.97 36.25 1029.65 86.74 487.03
15.84 52.72 1026.45 62.57 464.93
14.84 44.63 1019.28 57.37 466.0
12.25 48.79 1017.44 88.91 469.52
27.38 70.04 1011.18 72.26 428.88
8.76 41.48 1018.49 74.98 474.3
15.54 39.31 1009.69 71.19 461.06
18.71 39.39 1014.09 62.82 465.57
13.06 41.78 1012.3 55.31 467.67
12.72 40.71 1016.02 71.57 466.99
19.83 39.39 1013.73 59.16 463.72
27.23 49.16 1004.03 40.8 443.78
24.27 68.28 1005.43 67.63 445.23
11.8 40.66 1017.13 97.2 464.43
6.76 36.25 1028.31 91.16 484.36
25.99 63.07 1012.5 64.81 442.16
16.3 39.63 1004.64 85.61 464.11
16.5 49.39 1018.35 93.42 462.48
10.59 42.49 1009.59 77.36 477.49
26.05 65.59 1012.78 67.03 437.04
19.5 40.79 1003.8 89.45 457.09
22.21 45.01 1012.22 54.84 450.6
17.86 45.0 1023.25 53.48 465.78
29.96 70.04 1010.15 54.47 427.1
19.08 44.63 1020.14 43.36 459.81
23.59 47.43 1006.64 48.92 447.36
3.38 39.64 1011.0 81.22 488.92
26.39 66.49 1012.96 60.35 433.36
8.99 39.04 1021.99 75.98 483.35
10.91 41.04 1026.57 74.24 469.53
13.08 39.82 1012.27 85.21 476.96
23.95 58.46 1017.5 68.46 440.75
15.64 43.71 1024.51 78.31 462.55
18.78 54.2 1012.05 89.25 448.04
20.65 50.59 1016.22 68.57 455.24
4.96 40.07 1011.8 67.38 494.75
23.51 57.32 1012.55 53.6 444.58
5.99 35.79 1011.56 91.69 484.82
23.65 66.05 1019.6 78.21 442.9
5.17 39.33 1009.68 94.19 485.46
26.38 49.5 1012.82 37.19 457.81
6.02 43.65 1013.85 83.53 481.92
23.2 61.02 1009.63 79.45 443.23
8.57 39.69 1000.91 99.9 474.29
30.72 71.58 1009.98 50.39 430.46
21.52 50.66 1013.56 74.33 455.71
22.93 62.26 1011.25 83.66 438.34
5.71 41.31 1003.24 89.48 485.83
18.62 44.06 1017.76 64.59 452.82
27.88 68.94 1007.68 75.68 435.04
22.32 59.8 1016.82 64.18 451.21
14.55 42.74 1028.41 70.09 465.81
17.83 44.92 1025.04 70.58 458.42
9.68 39.96 1026.09 99.28 470.22
19.41 49.39 1020.84 81.89 449.24
13.22 44.92 1023.84 87.99 471.43
12.24 44.92 1023.74 88.21 473.26
19.21 58.49 1011.7 91.29 452.82
29.74 70.32 1008.1 52.72 432.69
23.28 60.84 1017.91 67.5 444.13
8.02 41.92 1029.8 92.05 467.21
22.47 48.6 1002.33 63.23 445.98
27.51 73.77 1002.42 90.88 436.91
17.51 44.9 1009.05 74.91 455.01
23.22 66.56 1002.47 85.39 437.11
11.73 40.64 1020.68 96.98 477.06
21.19 67.71 1006.65 56.28 441.71
5.48 40.07 1019.63 65.62 495.76
24.26 66.44 1011.33 55.32 445.63
12.32 41.62 1012.88 88.88 464.72
31.26 68.94 1005.94 39.49 438.03
32.09 72.86 1003.47 54.59 434.78
24.98 60.32 1015.63 57.19 444.67
27.48 61.41 1012.2 45.06 452.24
21.04 45.09 1014.19 40.62 450.92
27.75 70.4 1006.65 90.21 436.53
22.79 71.77 1005.75 90.91 435.53
24.22 68.51 1013.23 74.96 440.01
27.06 64.45 1008.72 54.21 443.1
29.25 71.94 1007.18 63.62 427.49
26.86 68.08 1012.99 50.04 436.25
29.64 67.79 1009.99 51.23 440.74
19.92 63.31 1015.02 82.71 443.54
18.5 51.43 1010.82 92.04 459.42
23.71 60.23 1009.76 90.67 439.66
14.39 44.84 1023.55 91.14 464.15
19.3 56.65 1020.55 70.43 459.1
24.65 52.36 1014.76 66.63 455.68
13.5 45.51 1015.33 86.95 469.08
9.82 41.26 1007.71 96.69 478.02
18.4 44.06 1017.36 70.88 456.8
28.12 44.89 1009.18 47.14 441.13
17.15 43.69 1017.05 63.36 463.88
30.69 73.67 1006.14 60.58 430.45
28.82 65.71 1014.24 54.3 449.18
21.3 48.92 1010.92 65.09 447.89
30.58 70.04 1010.4 48.16 431.59
21.17 52.3 1009.36 81.51 447.5
9.87 41.82 1033.04 68.57 475.58
22.18 59.8 1016.77 73.16 453.24
24.39 63.21 1012.59 80.88 446.4
10.73 44.92 1025.1 85.4 476.81
9.38 40.46 1019.29 75.77 474.1
20.27 57.76 1016.66 75.76 450.71
24.82 66.48 1006.4 70.21 433.62
16.55 41.66 1011.45 55.53 465.14
20.73 59.87 1019.08 80.48 445.18
9.51 39.22 1015.3 72.41 474.12
8.63 43.79 1016.08 83.25 483.91
6.48 40.27 1010.55 82.12 486.68
14.95 43.52 1022.43 94.75 464.98
5.76 45.87 1010.83 95.79 481.4
10.94 39.04 1021.81 86.02 479.2
15.87 41.16 1005.85 78.29 463.86
12.42 38.25 1012.76 82.23 472.3
29.12 58.84 1001.31 52.86 446.51
29.12 51.43 1005.93 60.66 437.71
19.08 41.1 1001.96 62.77 458.94
31.06 67.17 1007.62 65.54 437.91
5.72 39.33 1009.96 95.4 490.76
26.52 65.06 1013.4 51.78 439.66
13.84 44.9 1007.58 63.62 463.27
13.03 39.52 1016.68 83.09 473.99
25.94 66.49 1012.83 61.81 433.38
16.64 53.82 1015.13 68.24 459.01
14.13 40.75 1016.05 72.41 471.44
13.65 39.28 1012.97 79.64 471.91
14.5 44.47 1028.2 66.95 465.15
19.8 51.19 1008.25 91.98 446.66
25.2 63.76 1009.78 64.96 438.15
20.66 51.19 1008.81 88.93 447.14
12.07 43.71 1025.53 85.62 472.32
25.64 70.72 1010.16 84.0 441.68
23.33 72.99 1009.33 89.41 440.04
29.41 64.05 1009.82 67.4 444.82
16.6 53.16 1014.5 76.75 457.26
27.53 72.58 1009.13 89.06 428.83
20.62 43.43 1009.93 64.02 449.07
26.02 71.94 1009.38 64.12 435.21
12.75 44.2 1017.59 81.22 471.03
12.87 48.04 1012.47 100.13 465.56
25.77 62.96 1019.86 58.07 442.83
14.84 41.48 1017.26 63.42 460.3
7.41 40.71 1023.07 83.32 474.25
8.87 41.82 1033.3 74.28 477.97
9.69 40.46 1019.1 71.91 472.16
16.17 46.97 1014.22 85.8 456.08
26.24 49.82 1014.9 55.58 452.41
13.78 43.22 1011.31 69.7 463.71
26.3 67.07 1006.26 63.79 433.72
17.37 57.76 1016.0 86.59 456.4
23.6 48.98 1015.41 48.28 448.43
8.3 36.08 1020.63 80.42 481.6
18.86 42.18 1001.16 98.58 457.07
22.12 49.39 1019.8 72.83 451.0
28.41 75.6 1018.48 56.07 440.28
29.42 71.32 1002.26 67.13 437.47
18.61 67.71 1004.07 84.49 443.57
27.57 69.84 1004.91 68.37 426.6
12.83 41.5 1013.12 86.07 470.87
9.64 39.85 1012.9 83.82 478.37
19.13 58.66 1013.32 74.86 453.92
15.92 40.56 1020.79 53.52 470.22
24.64 72.24 1011.37 80.61 434.54
27.62 63.9 1013.11 43.56 442.89
8.9 36.24 1013.29 89.35 479.03
9.55 43.99 1020.5 97.28 476.06
10.57 36.71 1022.62 80.49 473.88
19.8 57.25 1010.84 88.9 451.75
25.63 56.85 1012.68 49.7 439.2
24.7 58.46 1015.58 68.64 439.7
15.26 46.18 1013.68 98.58 463.6
20.06 52.84 1004.21 82.12 447.47
19.84 56.89 1013.23 78.32 447.92
11.49 44.63 1020.44 86.04 471.08
23.74 72.43 1007.99 91.36 437.55
22.62 51.3 1012.36 81.02 448.27
29.53 72.39 998.47 76.05 431.69
21.32 48.14 1016.57 71.81 449.09
20.3 58.46 1015.93 82.13 448.79
16.97 44.92 1025.21 74.27 460.21
12.07 41.17 1013.54 71.32 479.28
7.46 41.82 1032.67 74.59 483.11
19.2 54.2 1011.46 84.44 450.75
28.64 66.54 1010.43 43.39 437.97
13.56 41.48 1008.53 87.2 459.76
17.4 44.9 1020.5 77.11 457.75
14.08 40.1 1015.48 82.81 469.33
27.11 69.75 1009.74 85.67 433.28
20.92 70.02 1010.23 95.58 444.64
16.18 44.9 1021.3 74.46 463.1
15.57 44.68 1022.01 90.02 460.91
10.37 39.04 1023.95 81.93 479.35
19.6 59.21 1017.65 86.29 449.23
9.22 40.92 1021.83 85.43 474.51
27.76 72.99 1007.81 71.66 435.02
28.68 70.72 1009.43 71.33 435.45
20.95 48.14 1013.3 67.72 452.38
9.06 39.3 1019.73 84.23 480.41
9.21 39.72 1019.54 74.44 478.96
13.65 42.74 1026.58 71.48 468.87
31.79 76.2 1007.89 56.3 434.01
14.32 44.6 1013.85 68.13 466.36
26.28 75.23 1011.44 68.35 435.28
7.69 43.02 1014.51 85.23 486.46
14.44 40.1 1015.51 79.78 468.19
9.19 41.01 1022.14 98.98 468.37
13.35 41.39 1019.17 72.87 474.19
23.04 74.22 1009.52 90.93 440.32
4.83 38.44 1015.35 72.94 485.32
17.29 42.86 1014.38 72.3 464.27
8.73 36.18 1013.66 77.74 479.25
26.21 70.32 1007.0 78.29 430.4
23.72 58.62 1016.65 69.1 447.49
29.27 64.69 1006.85 55.79 438.23
10.4 40.43 1025.46 75.09 492.09
12.19 40.75 1015.13 88.98 475.36
20.4 54.9 1016.68 64.26 452.56
34.3 74.67 1015.98 25.89 427.84
27.56 68.08 1010.8 59.18 433.95
30.9 70.8 1008.48 67.48 435.27
14.85 58.59 1014.04 89.85 454.62
16.42 40.56 1020.36 50.62 472.17
16.45 63.31 1015.96 83.97 452.42
10.14 42.02 1003.19 96.51 472.17
9.53 41.44 1018.01 80.09 481.83
17.01 49.15 1021.83 84.02 458.78
23.94 62.08 1022.47 61.97 447.5
15.95 49.25 1019.04 88.51 463.4
11.15 41.26 1022.67 81.83 473.57
25.56 70.32 1009.07 90.63 433.72
27.16 66.44 1011.2 73.37 431.85
26.71 77.95 1012.13 77.5 433.47
29.56 74.22 1007.45 57.46 432.84
31.19 70.94 1007.29 51.91 436.6
6.86 41.17 1020.12 79.14 490.23
12.36 41.74 1020.58 69.24 477.16
32.82 68.31 1010.44 41.85 441.06
25.3 70.98 1007.22 95.1 440.86
8.71 41.82 1033.08 74.53 477.94
13.34 40.8 1026.56 64.85 474.47
14.2 43.02 1012.18 57.07 470.67
23.74 65.34 1013.7 62.9 447.31
16.9 44.88 1018.14 72.21 466.8
28.54 71.94 1007.4 65.99 430.91
30.15 69.88 1007.2 73.67 434.75
14.33 42.86 1010.82 88.59 469.52
25.57 59.43 1008.88 61.19 438.9
30.55 70.04 1010.51 49.37 429.56
28.04 74.33 1013.53 48.65 432.92
26.39 49.16 1005.68 56.18 442.87
15.3 41.76 1022.57 71.56 466.59
6.03 41.14 1028.04 87.46 479.61
13.49 44.63 1019.12 70.02 471.08
27.67 59.14 1016.51 61.2 433.37
24.19 65.48 1018.8 60.54 443.92
24.44 59.14 1016.74 71.82 443.5
29.86 64.79 1017.37 44.8 439.89
30.2 69.59 1008.9 67.32 434.66
7.99 41.38 1021.95 78.77 487.57
9.93 41.62 1013.76 96.02 464.64
11.03 42.32 1017.26 90.56 470.92
22.34 63.73 1014.37 83.19 444.39
25.33 48.6 1002.54 68.45 442.48
18.87 52.08 1005.25 99.19 449.61
25.97 69.34 1009.43 88.11 435.02
16.58 43.99 1021.81 79.29 458.67
14.35 46.18 1016.63 87.76 461.74
25.06 62.39 1008.09 82.56 438.31
13.85 48.92 1011.68 79.24 462.38
16.09 44.2 1019.39 67.24 460.56
26.34 59.21 1013.37 58.98 439.22
23.01 58.79 1009.71 84.22 444.64
26.39 71.25 999.8 89.12 430.34
31.32 71.29 1008.37 50.07 430.46
16.64 45.87 1009.02 98.86 456.79
13.42 41.23 994.17 95.79 468.82
20.06 44.9 1008.79 70.06 448.51
14.8 44.71 1014.67 41.71 470.77
12.59 41.14 1025.79 86.55 465.74
26.7 66.56 1005.31 71.97 430.21
19.78 50.32 1008.62 96.4 449.23
15.17 49.15 1021.91 91.73 461.89
21.71 61.45 1010.97 91.62 445.72
19.09 39.39 1013.36 59.14 466.13
19.76 51.19 1008.38 92.56 448.71
14.68 41.23 998.43 83.71 469.25
21.3 66.86 1013.04 55.43 450.56
16.73 39.64 1008.94 74.91 464.46
12.26 41.5 1014.87 89.41 471.13
14.77 48.06 1010.92 69.81 461.52
18.26 59.15 1012.04 86.01 451.09
27.1 79.74 1005.43 86.05 431.51
14.72 40.83 1009.65 80.98 469.8
26.3 51.43 1012.05 63.62 442.28
16.48 48.92 1011.84 64.16 458.67
17.99 43.79 1016.13 75.63 462.4
20.34 59.8 1015.18 80.21 453.54
25.53 62.96 1019.81 59.7 444.38
31.59 58.9 1003.39 47.6 440.52
30.8 69.14 1007.68 63.78 433.62
10.75 45.0 1023.68 89.37 481.96
19.3 44.9 1008.89 70.55 452.75
4.71 39.42 1026.4 84.42 481.28
23.1 66.05 1020.28 80.62 439.03
32.63 73.88 1005.64 52.56 435.75
26.63 74.16 1009.72 83.26 436.03
24.35 58.49 1011.03 70.64 445.6
15.11 56.03 1020.27 89.95 462.65
29.1 50.05 1005.87 51.53 438.66
21.24 50.32 1008.54 84.83 447.32
6.16 39.48 1004.85 59.68 484.55
7.36 41.01 1024.9 97.88 476.8
10.44 39.04 1023.99 85.03 480.34
26.76 48.41 1010.53 47.38 440.63
16.79 44.6 1014.27 48.08 459.48
10.76 40.43 1025.98 79.65 490.78
6.07 38.91 1019.25 83.39 483.56
27.33 73.18 1012.26 82.18 429.38
27.15 59.21 1013.49 51.71 440.27
22.35 51.43 1011.34 77.33 445.34
21.82 65.27 1013.86 72.81 447.43
21.11 69.94 1004.37 84.26 439.91
19.95 50.59 1016.11 73.23 459.27
7.45 39.61 1017.88 79.73 478.89
15.36 41.66 1012.41 62.32 466.7
15.65 43.5 1021.39 78.58 463.5
25.31 74.33 1015.04 79.88 436.21
25.88 63.47 1011.95 65.87 443.94
24.6 63.94 1012.87 80.28 439.63
22.58 41.54 1013.21 71.33 460.95
19.69 59.14 1015.99 70.33 448.69
25.85 75.08 1006.24 57.73 444.63
10.06 37.83 1005.49 99.46 473.51
18.59 39.54 1008.56 68.61 462.56
18.27 50.16 1011.07 95.91 451.76
8.85 40.43 1025.68 80.42 491.81
30.04 68.08 1011.04 51.01 429.52
26.06 49.02 1007.59 74.08 437.9
14.8 38.73 1003.18 80.73 467.54
23.93 64.45 1015.35 54.71 449.97
23.72 66.48 1003.61 73.75 436.62
11.44 40.55 1023.37 88.43 477.68
20.28 63.86 1016.04 74.66 447.26
27.9 63.13 1011.8 70.04 439.76
24.74 59.39 1015.23 74.64 437.49
14.8 58.2 1018.29 85.11 455.14
8.22 41.03 1021.76 82.97 485.5
27.56 66.93 1016.81 55.59 444.1
32.07 70.94 1006.91 49.9 432.33
9.53 44.03 1008.87 89.99 471.23
13.61 42.34 1017.93 91.61 463.89
22.2 51.19 1009.2 82.95 445.54
21.36 59.54 1007.99 92.62 446.09
23.25 63.86 1017.82 59.64 445.12
23.5 59.21 1018.29 63.0 443.31
8.46 39.66 1015.14 85.38 484.16
8.19 40.69 1019.86 85.23 477.76
30.67 71.29 1008.36 52.08 430.28
32.48 62.04 1010.39 38.05 446.48
8.99 36.66 1028.11 71.98 481.03
13.77 47.83 1007.41 90.66 466.07
19.05 67.32 1013.2 83.14 447.47
21.19 55.5 1019.83 65.22 455.93
10.12 40.0 1021.15 91.67 479.62
24.93 47.01 1014.28 66.04 455.06
8.47 40.46 1019.87 78.19 475.06
24.52 56.85 1012.59 54.47 438.89
28.55 69.84 1003.38 67.26 432.7
20.58 50.9 1011.89 72.56 452.6
18.31 46.21 1010.46 82.15 451.75
27.18 71.06 1008.16 86.32 430.66
4.43 38.91 1019.04 88.17 491.9
26.02 74.78 1010.04 72.78 439.82
15.75 39.0 1015.91 69.58 460.73
22.99 60.95 1015.14 69.86 449.7
25.52 59.15 1013.88 65.37 439.42
27.04 65.06 1013.33 52.37 439.84
6.42 35.57 1025.58 79.63 485.86
17.04 40.12 1011.81 83.14 458.1
10.79 39.82 1012.89 88.25 479.92
20.41 56.03 1019.94 55.85 458.29
7.36 40.07 1017.29 52.55 489.45
28.08 73.42 1012.17 62.74 434.0
24.74 69.13 1010.69 90.08 431.24
28.32 47.93 1003.26 54.5 439.5
16.71 40.56 1019.48 49.88 467.46
30.7 71.58 1010.0 48.96 429.27
18.42 58.95 1016.95 86.77 452.1
10.62 42.02 999.83 96.66 472.41
22.18 69.05 1002.75 70.84 442.14
22.38 49.3 1003.56 83.83 441.0
13.94 41.58 1020.76 68.22 463.07
21.24 60.84 1017.99 82.22 445.71
6.76 39.81 1017.11 87.9 483.16
26.73 68.84 1010.75 66.83 440.45
7.24 38.06 1020.6 85.36 481.83
10.84 40.62 1015.53 60.9 467.6
19.32 52.84 1004.29 83.51 450.88
29.0 69.13 1001.22 52.96 425.5
23.38 54.42 1013.95 73.02 451.87
31.17 69.51 1010.51 43.11 428.94
26.17 48.6 1002.59 61.41 439.86
30.9 73.42 1011.21 65.32 433.44
24.92 73.68 1015.12 93.68 438.23
32.77 71.32 1007.68 42.39 436.95
14.37 40.56 1021.67 68.18 470.19
8.36 40.22 1011.6 89.18 484.66
31.45 68.27 1007.56 64.79 430.81
31.6 73.17 1010.05 43.48 433.37
17.9 48.98 1014.17 80.4 453.02
20.35 50.9 1012.6 72.43 453.5
16.21 41.23 995.88 80.0 463.09
19.36 44.6 1016.25 45.65 464.56
21.04 65.46 1017.22 63.02 452.12
14.05 40.69 1015.66 74.39 470.9
23.48 64.15 1021.08 57.77 450.89
21.91 63.76 1009.85 76.8 445.04
24.42 63.07 1011.49 67.39 444.72
14.26 40.92 1022.07 73.96 460.38
21.38 58.33 1013.05 72.75 446.8
15.71 44.06 1018.34 71.69 465.05
5.78 40.62 1016.55 84.98 484.13
6.77 39.81 1017.01 87.68 488.27
23.84 49.21 1013.85 50.36 447.09
21.17 58.16 1017.16 68.11 452.02
19.94 58.96 1014.16 66.27 455.55
8.73 41.92 1029.41 89.72 480.99
16.39 41.67 1012.96 61.07 467.68
res12: Long = 9568
+-----------------+--------+-----------+---------+-----------+
|             name|database|description|tableType|isTemporary|
+-----------------+--------+-----------+---------+-----------+
|power_plant_table|    null|       null|TEMPORARY|       true|
+-----------------+--------+-----------+---------+-----------+

Step 6: Data Modeling

Now let's model our data to predict what the power output will be given a set of sensor readings

Our first model will be based on simple linear regression since we saw some linear patterns in our data based on the scatter plots during the exploration stage.

AT V AP RH PE
14.96 41.76 1024.07 73.17 463.26
25.18 62.96 1020.04 59.08 444.37
5.11 39.4 1012.16 92.14 488.56
20.86 57.32 1010.24 76.64 446.48
10.82 37.5 1009.23 96.62 473.9
26.27 59.44 1012.23 58.77 443.67
15.89 43.96 1014.02 75.24 467.35
9.48 44.71 1019.12 66.43 478.42
14.64 45.0 1021.78 41.25 475.98
11.74 43.56 1015.14 70.72 477.5
17.99 43.72 1008.64 75.04 453.02
20.14 46.93 1014.66 64.22 453.99
24.34 73.5 1011.31 84.15 440.29
25.71 58.59 1012.77 61.83 451.28
26.19 69.34 1009.48 87.59 433.99
21.42 43.79 1015.76 43.08 462.19
18.21 45.0 1022.86 48.84 467.54
11.04 41.74 1022.6 77.51 477.2
14.45 52.75 1023.97 63.59 459.85
13.97 38.47 1015.15 55.28 464.3
17.76 42.42 1009.09 66.26 468.27
5.41 40.07 1019.16 64.77 495.24
7.76 42.28 1008.52 83.31 483.8
27.23 63.9 1014.3 47.19 443.61
27.36 48.6 1003.18 54.93 436.06
27.47 70.72 1009.97 74.62 443.25
14.6 39.31 1011.11 72.52 464.16
7.91 39.96 1023.57 88.44 475.52
5.81 35.79 1012.14 92.28 484.41
30.53 65.18 1012.69 41.85 437.89
23.87 63.94 1019.02 44.28 445.11
26.09 58.41 1013.64 64.58 438.86
29.27 66.85 1011.11 63.25 440.98
27.38 74.16 1010.08 78.61 436.65
24.81 63.94 1018.76 44.51 444.26
12.75 44.03 1007.29 89.46 465.86
24.66 63.73 1011.4 74.52 444.37
16.38 47.45 1010.08 88.86 450.69
13.91 39.35 1014.69 75.51 469.02
23.18 51.3 1012.04 78.64 448.86
22.47 47.45 1007.62 76.65 447.14
13.39 44.85 1017.24 80.44 469.18
9.28 41.54 1018.33 79.89 482.8
11.82 42.86 1014.12 88.28 476.7
10.27 40.64 1020.63 84.6 474.99
22.92 63.94 1019.28 42.69 444.22
16.0 37.87 1020.24 78.41 461.33
21.22 43.43 1010.96 61.07 448.06
13.46 44.71 1014.51 50.0 474.6
9.39 40.11 1029.14 77.29 473.05
31.07 73.5 1010.58 43.66 432.06
12.82 38.62 1018.71 83.8 467.41
32.57 78.92 1011.6 66.47 430.12
8.11 42.18 1014.82 93.09 473.62
13.92 39.39 1012.94 80.52 471.81
23.04 59.43 1010.23 68.99 442.99
27.31 64.44 1014.65 57.27 442.77
5.91 39.33 1010.18 95.53 491.49
25.26 61.08 1013.68 71.72 447.46
27.97 58.84 1002.25 57.88 446.11
26.08 52.3 1007.03 63.34 442.44
29.01 65.71 1013.61 48.07 446.22
12.18 40.1 1016.67 91.87 471.49
13.76 45.87 1008.89 87.27 463.5
25.5 58.79 1016.02 64.4 440.01
28.26 65.34 1014.56 43.4 441.03
21.39 62.96 1019.49 72.24 452.68
7.26 40.69 1020.43 90.22 474.91
10.54 34.03 1018.71 74.0 478.77
27.71 74.34 998.14 71.85 434.2
23.11 68.3 1017.83 86.62 437.91
7.51 41.01 1024.61 97.41 477.61
26.46 74.67 1016.65 84.44 431.65
29.34 74.34 998.58 81.55 430.57
10.32 42.28 1008.82 75.66 481.09
22.74 61.02 1009.56 79.41 445.56
13.48 39.85 1012.71 58.91 475.74
25.52 69.75 1010.36 90.06 435.12
21.58 67.25 1017.39 79.0 446.15
27.66 76.86 1001.31 69.47 436.64
26.96 69.45 1013.89 51.47 436.69
12.29 42.18 1016.53 83.13 468.75
15.86 43.02 1012.18 40.33 466.6
13.87 45.08 1024.42 81.69 465.48
24.09 73.68 1014.93 94.55 441.34
20.45 69.45 1012.53 91.81 441.83
15.07 39.3 1019.0 63.62 464.7
32.72 69.75 1009.6 49.35 437.99
18.23 58.96 1015.55 69.61 459.12
35.56 68.94 1006.56 38.75 429.69
18.36 51.43 1010.57 90.17 459.8
26.35 64.05 1009.81 81.24 433.63
25.92 60.95 1014.62 48.46 442.84
8.01 41.66 1014.49 76.72 485.13
19.63 52.72 1025.09 51.16 459.12
20.02 67.32 1012.05 76.34 445.31
10.08 40.72 1022.7 67.3 480.8
27.23 66.48 1005.23 52.38 432.55
23.37 63.77 1013.42 76.44 443.86
18.74 59.21 1018.3 91.55 449.77
14.81 43.69 1017.19 71.9 470.71
23.1 51.3 1011.93 80.05 452.17
10.72 41.38 1021.6 63.77 478.29
29.46 71.94 1006.96 62.26 428.54
8.1 40.64 1020.66 89.04 478.27
27.29 62.66 1007.63 58.02 439.58
17.1 49.69 1005.53 81.82 457.32
11.49 44.2 1018.79 91.14 475.51
23.69 65.59 1010.85 88.92 439.66
13.51 40.89 1011.03 84.83 471.99
9.64 39.35 1015.1 91.76 479.81
25.65 78.92 1010.83 86.56 434.78
21.59 61.87 1011.18 57.21 446.58
27.98 58.33 1013.92 54.25 437.76
18.8 39.72 1001.24 63.8 459.36
18.28 44.71 1016.99 33.71 462.28
13.55 43.48 1016.08 67.25 464.33
22.99 46.21 1010.71 60.11 444.36
23.94 59.39 1014.32 74.55 438.64
13.74 34.03 1018.69 67.34 470.49
21.3 41.1 1001.86 42.75 455.13
27.54 66.93 1017.06 55.2 450.22
24.81 63.73 1009.34 83.61 440.43
4.97 42.85 1014.02 88.78 482.98
15.22 50.88 1014.19 100.12 460.44
23.88 54.2 1012.81 64.52 444.97
33.01 68.67 1005.2 51.41 433.94
25.98 73.18 1012.28 85.78 439.73
28.18 73.88 1005.89 75.41 434.48
21.67 60.84 1017.93 81.63 442.33
17.67 45.09 1014.26 51.92 457.67
21.37 57.76 1018.8 70.12 454.66
28.69 67.25 1017.71 53.83 432.21
16.61 43.77 1012.25 77.23 457.66
27.91 63.76 1010.27 65.67 435.21
20.97 47.43 1007.64 71.18 448.22
10.8 41.66 1013.79 81.96 475.51
20.61 62.91 1013.24 79.54 446.53
25.45 57.32 1011.7 47.09 441.3
30.16 69.34 1007.67 57.69 433.54
4.99 39.04 1020.45 78.89 472.52
10.51 44.78 1012.59 85.29 474.77
33.79 69.05 1001.62 40.13 435.1
21.34 59.8 1016.92 77.06 450.74
23.4 65.06 1014.32 67.38 442.7
32.21 68.14 1003.34 62.44 426.56
14.26 42.32 1016.0 77.43 463.71
27.71 66.93 1016.85 58.77 447.06
21.95 57.76 1018.02 67.72 452.27
25.76 63.94 1018.49 42.14 445.78
23.68 68.3 1017.93 84.16 438.65
8.28 40.77 1011.55 89.79 480.15
23.44 62.52 1016.46 67.21 447.19
25.32 48.41 1008.47 72.14 443.04
3.94 39.9 1008.06 97.49 488.81
17.3 57.76 1016.26 87.74 455.75
18.2 49.39 1018.83 96.3 455.86
21.43 46.97 1013.94 61.25 457.68
11.16 40.05 1014.95 88.38 479.11
30.38 74.16 1007.44 74.77 432.84
23.36 62.52 1016.18 68.18 448.37
21.69 47.45 1007.56 77.2 447.06
23.62 49.21 1014.1 49.54 443.53
21.87 61.45 1011.13 92.22 445.21
29.25 66.51 1015.53 33.65 441.7
20.03 66.86 1013.05 64.59 450.93
18.14 49.78 1002.95 100.09 451.44
24.23 56.89 1012.32 68.04 441.29
18.11 44.85 1014.48 48.94 458.85
6.57 43.65 1018.24 74.47 481.46
12.56 43.41 1016.93 81.02 467.19
13.4 41.58 1020.5 71.17 461.54
27.1 52.84 1006.28 53.85 439.08
14.28 42.74 1028.79 70.67 467.22
16.29 44.34 1019.49 59.36 468.8
31.24 71.98 1004.66 57.17 426.93
10.57 37.73 1024.36 70.29 474.65
13.8 44.21 1022.93 83.37 468.97
25.3 71.58 1010.18 87.36 433.97
18.06 50.16 1009.52 100.09 450.53
25.42 59.04 1011.98 68.78 444.51
15.07 40.69 1015.29 70.98 469.03
11.75 71.14 1019.36 75.68 466.56
20.23 52.05 1012.15 47.49 457.57
27.31 59.54 1006.24 71.99 440.13
28.57 69.84 1003.57 66.55 433.24
17.9 43.72 1008.64 74.73 452.55
23.83 71.37 1002.04 64.78 443.29
27.92 74.99 1005.47 75.13 431.76
17.34 44.78 1007.81 56.38 454.97
17.94 63.07 1012.42 94.35 456.7
6.4 39.9 1007.75 86.55 486.03
11.78 39.96 1011.37 82.95 472.79
20.28 57.25 1010.12 88.42 452.03
21.04 54.2 1012.26 85.61 443.41
25.11 67.32 1014.49 58.39 441.93
30.28 70.98 1007.51 74.28 432.64
8.14 36.24 1013.15 87.85 480.25
16.86 39.63 1004.47 83.5 466.68
6.25 40.07 1020.19 65.24 494.39
22.35 54.42 1012.46 75.01 454.72
17.98 56.85 1012.28 84.52 448.71
21.19 42.48 1013.43 80.52 469.76
20.94 44.89 1009.64 75.14 450.71
24.23 58.79 1009.8 75.75 444.01
19.18 58.2 1017.46 76.72 453.2
20.88 57.85 1012.39 85.47 450.87
23.67 63.86 1019.67 57.95 441.73
14.12 39.52 1018.41 78.32 465.09
25.23 64.63 1020.59 52.2 447.28
6.54 39.33 1011.54 93.69 491.16
20.08 62.52 1017.99 75.74 450.98
24.67 63.56 1013.75 67.56 446.3
27.82 79.74 1008.37 69.46 436.48
15.55 42.03 1017.41 74.58 460.84
24.26 69.51 1013.43 53.23 442.56
13.45 41.49 1020.19 88.72 467.3
11.06 40.64 1021.47 96.16 479.13
24.91 52.3 1008.72 68.26 441.15
22.39 59.04 1011.78 86.39 445.52
11.95 40.69 1015.62 85.34 475.4
14.85 40.69 1014.91 72.64 469.3
10.11 41.62 1017.17 97.82 463.57
23.67 68.67 1006.71 77.22 445.32
16.14 44.21 1020.36 80.59 461.03
15.11 43.13 1014.99 46.91 466.74
24.14 59.87 1018.47 57.76 444.04
30.08 67.25 1017.6 53.09 434.01
14.77 44.9 1020.5 84.31 465.23
27.6 69.34 1009.63 71.58 440.6
13.89 44.84 1023.66 92.97 466.74
26.85 75.6 1017.43 74.55 433.48
12.41 40.96 1023.36 78.96 473.59
13.08 41.74 1020.75 64.44 474.81
18.93 44.06 1017.58 68.23 454.75
20.5 49.69 1009.6 70.81 452.94
30.72 69.13 1009.94 61.66 435.83
7.55 39.22 1014.53 77.76 482.19
13.49 44.47 1030.46 69.49 466.66
15.62 40.12 1013.03 96.26 462.59
24.8 64.63 1020.69 55.74 447.82
10.03 41.62 1014.55 95.61 462.73
22.43 63.21 1012.06 84.75 447.98
14.95 39.31 1009.15 75.3 462.72
24.78 58.46 1016.82 67.5 442.42
23.2 48.41 1008.64 80.92 444.69
14.01 39.0 1016.73 79.23 466.7
19.4 64.63 1020.38 81.1 453.84
30.15 67.32 1013.83 32.8 436.92
6.91 36.08 1021.82 84.31 486.37
29.04 60.07 1015.42 46.15 440.43
26.02 63.07 1010.94 53.96 446.82
5.89 39.48 1005.11 59.83 484.91
26.52 71.64 1008.27 75.3 437.76
28.53 68.08 1013.27 42.53 438.91
16.59 39.54 1007.97 70.58 464.19
22.95 67.79 1009.89 91.69 442.19
23.96 47.43 1008.38 63.55 446.86
17.48 44.2 1018.89 61.51 457.15
6.69 43.65 1020.14 69.55 482.57
10.25 41.26 1007.44 98.08 476.03
28.87 72.58 1008.69 79.34 428.89
12.04 40.23 1018.07 81.28 472.7
22.58 52.3 1009.04 78.99 445.6
15.12 52.05 1014.63 80.38 464.78
25.48 58.95 1017.02 51.16 440.42
27.87 70.79 1003.96 72.17 428.41
23.72 70.47 1010.65 75.39 438.5
25.0 59.43 1007.84 68.91 438.28
8.42 40.64 1022.35 96.38 476.29
22.46 58.49 1011.5 70.54 448.46
29.92 57.19 1008.62 45.8 438.99
11.68 39.22 1017.9 57.95 471.8
14.04 42.44 1012.74 81.89 471.81
19.86 59.14 1016.12 69.32 449.82
25.99 68.08 1013.13 59.14 442.14
23.42 58.79 1009.74 81.54 441.46
10.6 40.22 1011.37 85.81 477.62
20.97 61.87 1011.45 65.41 446.76
14.14 39.82 1012.46 81.15 472.52
8.56 40.71 1021.27 95.87 471.58
24.86 72.39 1001.15 90.24 440.85
29.0 77.54 1011.33 75.13 431.37
27.59 71.97 1008.64 88.22 437.33
10.45 40.71 1015.68 81.48 469.22
8.51 40.78 1023.51 89.84 471.11
29.82 66.51 1010.98 43.57 439.17
22.56 62.26 1012.11 63.16 445.33
11.38 39.22 1018.62 57.14 473.71
20.25 57.76 1016.28 77.76 452.66
22.42 59.43 1007.12 90.56 440.99
14.85 38.91 1014.48 60.98 467.42
25.62 58.82 1010.02 70.31 444.14
19.85 56.53 1020.57 74.05 457.17
13.67 54.3 1015.92 75.42 467.87
24.39 70.72 1009.78 82.25 442.04
16.07 44.58 1019.52 67.95 471.36
11.6 39.1 1009.81 100.09 460.7
31.38 70.83 1010.35 47.28 431.33
29.91 76.86 998.59 72.41 432.6
19.67 59.39 1014.07 77.67 447.61
27.18 64.79 1016.27 63.7 443.87
21.39 52.3 1009.2 79.77 446.87
10.45 41.01 1020.57 93.84 465.74
19.46 56.89 1014.02 84.95 447.86
23.55 62.96 1020.16 70.16 447.65
23.35 63.47 1011.78 84.24 437.87
9.26 41.66 1016.87 73.32 483.51
10.3 41.46 1018.21 86.17 479.65
20.94 58.16 1016.88 65.43 455.16
23.13 71.25 1002.49 94.59 431.91
12.77 41.5 1014.13 86.8 470.68
28.29 69.13 1009.29 58.18 429.28
19.13 59.21 1018.32 89.66 450.81
24.44 73.5 1011.49 87.39 437.73
20.32 44.6 1015.16 36.35 460.21
20.54 69.05 1001.6 79.62 442.86
12.16 45.0 1021.51 50.52 482.99
28.09 65.27 1013.27 51.96 440.0
9.25 41.82 1033.25 74.73 478.48
21.75 49.82 1015.01 78.33 455.28
23.7 66.56 1002.07 85.19 436.94
16.22 37.87 1022.36 83.13 461.06
24.75 69.45 1013.97 53.49 438.28
10.48 39.58 1011.81 88.86 472.61
29.53 70.79 1003.7 60.89 426.85
12.59 39.72 1017.76 61.14 470.18
23.5 54.42 1012.31 68.29 455.38
29.01 66.56 1006.44 57.62 428.32
9.75 42.49 1010.57 83.63 480.35
19.55 56.53 1020.2 78.1 455.56
21.05 58.33 1013.14 66.34 447.66
24.72 68.67 1006.74 79.02 443.06
21.19 58.86 1014.19 68.96 452.43
10.77 41.54 1019.94 71.13 477.81
28.68 73.77 1004.72 87.01 431.66
29.87 73.91 1004.53 74.3 431.8
22.99 68.67 1006.65 77.62 446.67
24.66 60.29 1018.0 59.56 445.26
32.63 69.89 1013.85 41.66 425.72
31.38 72.29 1008.73 73.27 430.58
23.87 60.27 1018.94 77.16 439.86
25.6 59.15 1013.31 67.02 441.11
27.62 71.14 1011.6 52.8 434.72
30.1 67.45 1014.23 39.04 434.01
12.19 41.17 1019.43 65.47 475.64
13.11 41.58 1020.43 74.32 460.44
28.29 68.67 1005.46 69.22 436.4
13.45 40.73 1018.7 93.88 461.03
10.98 41.54 1019.94 69.83 479.08
26.48 69.14 1009.31 84.11 435.76
13.07 45.51 1015.22 78.65 460.14
25.56 75.6 1017.37 69.31 442.2
22.68 50.78 1008.83 70.3 447.69
28.86 73.67 1006.65 68.23 431.15
22.7 63.56 1014.32 71.76 445.0
27.89 73.21 1001.32 85.88 431.59
13.78 44.47 1027.94 71.09 467.22
28.14 51.43 1012.16 52.67 445.33
11.8 45.09 1013.21 89.68 470.57
10.71 39.61 1018.72 73.66 473.77
24.54 60.29 1017.42 58.94 447.67
11.54 40.05 1014.78 87.05 474.29
29.47 71.32 1008.07 67.0 437.14
29.24 69.05 1003.12 43.18 432.56
14.51 41.79 1009.72 80.62 459.14
22.91 60.07 1016.03 59.72 446.19
27.02 71.77 1006.38 72.1 428.1
13.49 44.47 1030.18 69.15 468.46
30.24 66.75 1017.95 55.66 435.02
23.19 48.6 1002.38 61.19 445.52
17.73 40.55 1003.36 74.62 462.69
18.62 61.27 1019.26 73.35 455.75
12.85 40.0 1015.89 68.85 463.74
32.33 69.68 1011.95 39.89 439.79
25.09 58.95 1016.99 53.16 443.26
29.45 69.13 1009.3 52.97 432.04
16.91 43.96 1013.32 79.87 465.86
14.09 45.87 1009.05 84.09 465.6
10.73 25.36 1009.35 100.15 469.43
23.2 49.3 1003.4 79.77 440.75
8.21 38.91 1015.82 88.99 481.32
9.3 40.56 1022.64 76.14 479.87
16.97 39.16 1005.7 69.13 458.59
23.69 71.97 1009.62 93.03 438.62
25.13 59.44 1012.38 77.92 445.59
9.86 43.56 1015.13 74.89 481.87
11.33 41.5 1013.58 88.7 475.01
26.95 48.41 1008.53 62.94 436.54
15.0 40.66 1016.28 89.62 456.63
20.76 62.52 1015.63 81.04 451.69
14.29 39.59 1010.93 94.53 463.04
19.74 67.71 1007.68 64.02 446.1
26.68 59.92 1009.94 70.57 438.67
14.24 41.4 1019.7 70.32 466.88
21.98 48.41 1008.42 84.86 444.6
22.75 59.39 1015.4 81.41 440.26
8.34 40.96 1023.28 89.45 483.92
11.8 41.2 1017.18 82.71 475.19
8.81 44.68 1023.06 93.93 479.24
30.05 73.68 1014.95 70.6 434.92
16.01 65.46 1014.0 87.68 454.16
21.75 58.79 1012.42 87.58 447.58
13.94 41.26 1021.67 74.4 467.9
29.25 69.13 1010.27 67.35 426.29
22.33 45.87 1007.8 63.61 447.02
16.43 41.79 1005.47 76.89 455.85
11.5 40.22 1010.31 78.08 476.46
23.53 68.94 1007.53 69.17 437.48
21.86 49.21 1014.61 53.31 452.77
6.17 39.33 1012.57 93.32 491.54
30.19 64.79 1017.22 42.47 438.41
11.67 41.93 1019.81 82.58 476.1
15.34 36.99 1007.87 94.59 464.58
11.5 40.78 1023.91 86.31 467.74
25.53 57.17 1010.0 72.57 442.12
21.27 57.5 1014.53 80.76 453.34
28.37 69.13 1010.44 71.93 425.29
28.39 51.43 1011.74 47.54 449.63
13.78 45.78 1025.27 95.72 462.88
14.6 42.32 1015.71 77.03 464.67
5.1 35.57 1027.17 80.49 489.96
7.0 38.08 1020.27 77.67 482.38
26.3 77.95 1009.45 78.72 437.95
30.56 71.98 1004.74 58.77 429.2
21.09 46.63 1013.03 74.8 453.34
28.21 70.02 1010.58 51.34 442.47
15.84 49.69 1015.14 90.41 462.6
10.03 40.96 1024.57 91.1 478.79
20.37 52.05 1012.34 62.57 456.11
21.19 50.16 1005.81 84.27 450.33
33.73 69.88 1007.21 42.93 434.83
29.87 73.68 1015.1 40.96 433.43
19.62 62.96 1020.76 76.53 456.02
9.93 40.67 1018.08 69.74 485.23
9.43 37.14 1013.03 74.99 473.57
14.24 39.58 1011.17 70.45 469.94
12.97 49.83 1008.69 91.49 452.07
7.6 41.04 1021.82 88.97 475.32
8.39 36.24 1013.39 89.13 480.69
25.41 48.06 1013.12 46.52 444.01
18.43 56.03 1020.41 60.55 465.17
10.31 39.82 1012.87 88.71 480.61
11.29 41.5 1013.39 89.15 476.04
22.61 49.3 1003.51 83.02 441.76
29.34 71.98 1005.19 75.19 428.24
18.87 67.71 1004.0 87.35 444.77
13.21 45.87 1008.58 85.66 463.1
11.3 44.6 1018.19 91.66 470.5
29.23 72.99 1007.04 63.47 431.0
27.76 69.4 1004.27 72.25 430.68
29.26 67.17 1006.6 70.58 436.42
25.72 49.82 1016.19 60.1 452.33
23.43 63.94 1010.64 89.29 440.16
25.6 63.76 1010.18 67.43 435.75
22.3 44.57 1008.48 67.58 449.74
27.91 72.24 1010.74 70.8 430.73
30.35 77.17 1009.55 63.62 432.75
21.78 47.43 1007.88 66.68 446.79
7.19 41.39 1018.12 90.76 486.35
20.88 59.8 1015.66 75.34 453.18
24.19 50.23 1015.73 59.77 458.31
9.98 41.54 1019.7 80.79 480.26
23.47 51.3 1011.89 74.1 448.65
26.35 49.5 1012.67 41.34 458.41
29.89 64.69 1006.37 58.78 435.39
19.29 50.16 1010.49 97.78 450.21
17.48 43.14 1018.68 74.85 459.59
25.21 75.6 1017.19 69.84 445.84
23.3 48.78 1018.17 75.36 441.08
15.42 37.85 1009.89 85.8 467.33
21.44 63.09 1016.56 90.11 444.19
29.45 68.27 1007.96 61.63 432.96
29.69 47.93 1002.85 44.76 438.09
15.52 36.99 1006.86 89.7 467.9
11.47 43.67 1012.68 72.51 475.72
9.77 34.69 1027.72 74.98 477.51
22.6 69.84 1006.37 79.59 435.13
8.24 39.61 1017.99 78.42 477.9
17.01 44.2 1019.18 61.23 457.26
19.64 44.6 1015.88 47.56 467.53
10.61 41.58 1021.08 93.06 465.15
12.04 40.1 1014.42 89.65 474.28
29.19 65.71 1013.85 50.5 444.49
21.75 45.09 1014.15 44.84 452.84
23.66 77.54 1008.5 85.32 435.38
27.05 75.33 1003.88 82.94 433.57
29.63 69.71 1009.04 67.26 435.27
18.2 39.63 1005.35 79.05 468.49
32.22 70.8 1009.9 62.03 433.07
26.88 73.56 1004.85 94.36 430.63
29.05 65.74 1013.29 60.02 440.74
8.9 39.96 1026.31 95.46 474.49
18.93 48.6 1005.72 84.92 449.74
27.49 63.76 1010.09 62.8 436.73
23.1 70.79 1006.53 90.81 434.58
11.22 43.13 1017.24 80.9 473.93
31.97 79.74 1007.03 55.84 435.99
13.32 43.22 1009.45 75.3 466.83
31.68 68.24 1005.29 37.34 427.22
23.69 63.77 1013.39 79.5 444.07
13.83 41.49 1020.11 87.29 469.57
18.32 66.51 1015.18 81.5 459.89
11.05 40.71 1024.91 76.42 479.59
22.03 64.69 1007.21 75.75 440.92
10.23 41.46 1020.45 84.95 480.87
23.92 66.54 1009.93 62.37 441.9
29.38 69.68 1011.35 49.25 430.2
17.35 42.86 1014.62 74.16 465.16
9.81 44.45 1021.19 90.55 471.32
4.97 40.64 1020.91 94.28 485.43
5.15 40.07 1012.27 63.31 495.35
21.54 58.49 1010.85 78.9 449.12
7.94 42.02 1006.22 90.97 480.53
18.77 50.66 1014.89 87.34 457.07
21.69 69.94 1010.7 80.8 443.67
10.07 44.68 1023.44 90.95 477.52
13.83 39.64 1012.52 69.97 472.95
10.45 39.69 1003.92 89.45 472.54
11.56 40.71 1015.85 76.08 469.17
23.64 70.04 1011.09 83.35 435.21
10.48 40.22 1004.81 92.16 477.78
13.09 39.85 1012.86 58.42 475.89
10.67 40.23 1017.75 85.06 483.9
12.57 39.16 1016.53 88.91 476.2
14.45 43.34 1015.47 83.33 462.16
14.22 37.85 1011.24 88.49 471.05
6.97 41.26 1010.6 96.88 484.71
20.61 63.86 1015.43 73.86 446.34
14.67 42.28 1007.21 65.17 469.02
29.06 72.86 1004.23 69.41 432.12
14.38 40.1 1015.51 81.23 467.28
32.51 69.98 1013.29 54.07 429.66
11.79 45.09 1013.16 89.17 469.49
8.65 40.56 1023.23 78.85 485.87
9.75 40.81 1026.0 84.44 481.95
9.11 40.02 1031.1 83.02 479.03
23.39 69.13 1010.99 90.66 434.5
14.3 54.3 1015.16 75.29 464.9
17.49 63.94 1020.02 82.6 452.71
31.1 69.51 1010.84 45.4 429.74
19.77 56.65 1020.67 66.33 457.09
28.61 72.29 1011.61 45.33 446.77
13.52 41.48 1014.46 67.12 460.76
13.52 40.83 1008.31 84.14 471.95
17.57 46.21 1014.09 80.81 453.29
28.18 60.07 1016.34 49.13 441.61
14.29 46.18 1017.01 87.29 464.73
18.12 43.69 1016.91 52.95 464.68
31.27 73.91 1003.72 68.92 430.59
26.24 77.95 1014.19 85.21 438.01
7.44 41.04 1021.84 88.56 479.08
29.78 74.78 1009.28 55.09 436.39
23.37 65.46 1016.25 48.64 447.07
10.62 39.58 1011.9 87.85 479.91
5.84 43.02 1013.88 87.42 489.05
14.51 53.82 1016.46 62.75 463.17
11.31 42.02 1001.18 94.86 471.26
11.25 40.67 1011.64 63.54 480.49
9.18 39.42 1025.41 69.46 473.78
19.82 58.16 1016.76 74.66 455.5
24.77 58.41 1013.78 80.57 446.27
9.66 41.06 1021.21 84.7 482.2
21.96 59.8 1016.72 72.6 452.48
18.59 43.14 1011.92 52.63 464.48
24.75 69.89 1015.29 82.01 438.1
24.37 63.47 1012.77 75.22 445.6
29.6 67.79 1010.37 51.05 442.43
25.32 61.25 1011.56 80.1 436.67
16.15 41.85 1016.54 81.58 466.56
15.74 71.14 1019.65 65.94 457.29
5.97 36.25 1029.65 86.74 487.03
15.84 52.72 1026.45 62.57 464.93
14.84 44.63 1019.28 57.37 466.0
12.25 48.79 1017.44 88.91 469.52
27.38 70.04 1011.18 72.26 428.88
8.76 41.48 1018.49 74.98 474.3
15.54 39.31 1009.69 71.19 461.06
18.71 39.39 1014.09 62.82 465.57
13.06 41.78 1012.3 55.31 467.67
12.72 40.71 1016.02 71.57 466.99
19.83 39.39 1013.73 59.16 463.72
27.23 49.16 1004.03 40.8 443.78
24.27 68.28 1005.43 67.63 445.23
11.8 40.66 1017.13 97.2 464.43
6.76 36.25 1028.31 91.16 484.36
25.99 63.07 1012.5 64.81 442.16
16.3 39.63 1004.64 85.61 464.11
16.5 49.39 1018.35 93.42 462.48
10.59 42.49 1009.59 77.36 477.49
26.05 65.59 1012.78 67.03 437.04
19.5 40.79 1003.8 89.45 457.09
22.21 45.01 1012.22 54.84 450.6
17.86 45.0 1023.25 53.48 465.78
29.96 70.04 1010.15 54.47 427.1
19.08 44.63 1020.14 43.36 459.81
23.59 47.43 1006.64 48.92 447.36
3.38 39.64 1011.0 81.22 488.92
26.39 66.49 1012.96 60.35 433.36
8.99 39.04 1021.99 75.98 483.35
10.91 41.04 1026.57 74.24 469.53
13.08 39.82 1012.27 85.21 476.96
23.95 58.46 1017.5 68.46 440.75
15.64 43.71 1024.51 78.31 462.55
18.78 54.2 1012.05 89.25 448.04
20.65 50.59 1016.22 68.57 455.24
4.96 40.07 1011.8 67.38 494.75
23.51 57.32 1012.55 53.6 444.58
5.99 35.79 1011.56 91.69 484.82
23.65 66.05 1019.6 78.21 442.9
5.17 39.33 1009.68 94.19 485.46
26.38 49.5 1012.82 37.19 457.81
6.02 43.65 1013.85 83.53 481.92
23.2 61.02 1009.63 79.45 443.23
8.57 39.69 1000.91 99.9 474.29
30.72 71.58 1009.98 50.39 430.46
21.52 50.66 1013.56 74.33 455.71
22.93 62.26 1011.25 83.66 438.34
5.71 41.31 1003.24 89.48 485.83
18.62 44.06 1017.76 64.59 452.82
27.88 68.94 1007.68 75.68 435.04
22.32 59.8 1016.82 64.18 451.21
14.55 42.74 1028.41 70.09 465.81
17.83 44.92 1025.04 70.58 458.42
9.68 39.96 1026.09 99.28 470.22
19.41 49.39 1020.84 81.89 449.24
13.22 44.92 1023.84 87.99 471.43
12.24 44.92 1023.74 88.21 473.26
19.21 58.49 1011.7 91.29 452.82
29.74 70.32 1008.1 52.72 432.69
23.28 60.84 1017.91 67.5 444.13
8.02 41.92 1029.8 92.05 467.21
22.47 48.6 1002.33 63.23 445.98
27.51 73.77 1002.42 90.88 436.91
17.51 44.9 1009.05 74.91 455.01
23.22 66.56 1002.47 85.39 437.11
11.73 40.64 1020.68 96.98 477.06
21.19 67.71 1006.65 56.28 441.71
5.48 40.07 1019.63 65.62 495.76
24.26 66.44 1011.33 55.32 445.63
12.32 41.62 1012.88 88.88 464.72
31.26 68.94 1005.94 39.49 438.03
32.09 72.86 1003.47 54.59 434.78
24.98 60.32 1015.63 57.19 444.67
27.48 61.41 1012.2 45.06 452.24
21.04 45.09 1014.19 40.62 450.92
27.75 70.4 1006.65 90.21 436.53
22.79 71.77 1005.75 90.91 435.53
24.22 68.51 1013.23 74.96 440.01
27.06 64.45 1008.72 54.21 443.1
29.25 71.94 1007.18 63.62 427.49
26.86 68.08 1012.99 50.04 436.25
29.64 67.79 1009.99 51.23 440.74
19.92 63.31 1015.02 82.71 443.54
18.5 51.43 1010.82 92.04 459.42
23.71 60.23 1009.76 90.67 439.66
14.39 44.84 1023.55 91.14 464.15
19.3 56.65 1020.55 70.43 459.1
24.65 52.36 1014.76 66.63 455.68
13.5 45.51 1015.33 86.95 469.08
9.82 41.26 1007.71 96.69 478.02
18.4 44.06 1017.36 70.88 456.8
28.12 44.89 1009.18 47.14 441.13
17.15 43.69 1017.05 63.36 463.88
30.69 73.67 1006.14 60.58 430.45
28.82 65.71 1014.24 54.3 449.18
21.3 48.92 1010.92 65.09 447.89
30.58 70.04 1010.4 48.16 431.59
21.17 52.3 1009.36 81.51 447.5
9.87 41.82 1033.04 68.57 475.58
22.18 59.8 1016.77 73.16 453.24
24.39 63.21 1012.59 80.88 446.4
10.73 44.92 1025.1 85.4 476.81
9.38 40.46 1019.29 75.77 474.1
20.27 57.76 1016.66 75.76 450.71
24.82 66.48 1006.4 70.21 433.62
16.55 41.66 1011.45 55.53 465.14
20.73 59.87 1019.08 80.48 445.18
9.51 39.22 1015.3 72.41 474.12
8.63 43.79 1016.08 83.25 483.91
6.48 40.27 1010.55 82.12 486.68
14.95 43.52 1022.43 94.75 464.98
5.76 45.87 1010.83 95.79 481.4
10.94 39.04 1021.81 86.02 479.2
15.87 41.16 1005.85 78.29 463.86
12.42 38.25 1012.76 82.23 472.3
29.12 58.84 1001.31 52.86 446.51
29.12 51.43 1005.93 60.66 437.71
19.08 41.1 1001.96 62.77 458.94
31.06 67.17 1007.62 65.54 437.91
5.72 39.33 1009.96 95.4 490.76
26.52 65.06 1013.4 51.78 439.66
13.84 44.9 1007.58 63.62 463.27
13.03 39.52 1016.68 83.09 473.99
25.94 66.49 1012.83 61.81 433.38
16.64 53.82 1015.13 68.24 459.01
14.13 40.75 1016.05 72.41 471.44
13.65 39.28 1012.97 79.64 471.91
14.5 44.47 1028.2 66.95 465.15
19.8 51.19 1008.25 91.98 446.66
25.2 63.76 1009.78 64.96 438.15
20.66 51.19 1008.81 88.93 447.14
12.07 43.71 1025.53 85.62 472.32
25.64 70.72 1010.16 84.0 441.68
23.33 72.99 1009.33 89.41 440.04
29.41 64.05 1009.82 67.4 444.82
16.6 53.16 1014.5 76.75 457.26
27.53 72.58 1009.13 89.06 428.83
20.62 43.43 1009.93 64.02 449.07
26.02 71.94 1009.38 64.12 435.21
12.75 44.2 1017.59 81.22 471.03
12.87 48.04 1012.47 100.13 465.56
25.77 62.96 1019.86 58.07 442.83
14.84 41.48 1017.26 63.42 460.3
7.41 40.71 1023.07 83.32 474.25
8.87 41.82 1033.3 74.28 477.97
9.69 40.46 1019.1 71.91 472.16
16.17 46.97 1014.22 85.8 456.08
26.24 49.82 1014.9 55.58 452.41
13.78 43.22 1011.31 69.7 463.71
26.3 67.07 1006.26 63.79 433.72
17.37 57.76 1016.0 86.59 456.4
23.6 48.98 1015.41 48.28 448.43
8.3 36.08 1020.63 80.42 481.6
18.86 42.18 1001.16 98.58 457.07
22.12 49.39 1019.8 72.83 451.0
28.41 75.6 1018.48 56.07 440.28
29.42 71.32 1002.26 67.13 437.47
18.61 67.71 1004.07 84.49 443.57
27.57 69.84 1004.91 68.37 426.6
12.83 41.5 1013.12 86.07 470.87
9.64 39.85 1012.9 83.82 478.37
19.13 58.66 1013.32 74.86 453.92
15.92 40.56 1020.79 53.52 470.22
24.64 72.24 1011.37 80.61 434.54
27.62 63.9 1013.11 43.56 442.89
8.9 36.24 1013.29 89.35 479.03
9.55 43.99 1020.5 97.28 476.06
10.57 36.71 1022.62 80.49 473.88
19.8 57.25 1010.84 88.9 451.75
25.63 56.85 1012.68 49.7 439.2
24.7 58.46 1015.58 68.64 439.7
15.26 46.18 1013.68 98.58 463.6
20.06 52.84 1004.21 82.12 447.47
19.84 56.89 1013.23 78.32 447.92
11.49 44.63 1020.44 86.04 471.08
23.74 72.43 1007.99 91.36 437.55
22.62 51.3 1012.36 81.02 448.27
29.53 72.39 998.47 76.05 431.69
21.32 48.14 1016.57 71.81 449.09
20.3 58.46 1015.93 82.13 448.79
16.97 44.92 1025.21 74.27 460.21
12.07 41.17 1013.54 71.32 479.28
7.46 41.82 1032.67 74.59 483.11
19.2 54.2 1011.46 84.44 450.75
28.64 66.54 1010.43 43.39 437.97
13.56 41.48 1008.53 87.2 459.76
17.4 44.9 1020.5 77.11 457.75
14.08 40.1 1015.48 82.81 469.33
27.11 69.75 1009.74 85.67 433.28
20.92 70.02 1010.23 95.58 444.64
16.18 44.9 1021.3 74.46 463.1
15.57 44.68 1022.01 90.02 460.91
10.37 39.04 1023.95 81.93 479.35
19.6 59.21 1017.65 86.29 449.23
9.22 40.92 1021.83 85.43 474.51
27.76 72.99 1007.81 71.66 435.02
28.68 70.72 1009.43 71.33 435.45
20.95 48.14 1013.3 67.72 452.38
9.06 39.3 1019.73 84.23 480.41
9.21 39.72 1019.54 74.44 478.96
13.65 42.74 1026.58 71.48 468.87
31.79 76.2 1007.89 56.3 434.01
14.32 44.6 1013.85 68.13 466.36
26.28 75.23 1011.44 68.35 435.28
7.69 43.02 1014.51 85.23 486.46
14.44 40.1 1015.51 79.78 468.19
9.19 41.01 1022.14 98.98 468.37
13.35 41.39 1019.17 72.87 474.19
23.04 74.22 1009.52 90.93 440.32
4.83 38.44 1015.35 72.94 485.32
17.29 42.86 1014.38 72.3 464.27
8.73 36.18 1013.66 77.74 479.25
26.21 70.32 1007.0 78.29 430.4
23.72 58.62 1016.65 69.1 447.49
29.27 64.69 1006.85 55.79 438.23
10.4 40.43 1025.46 75.09 492.09
12.19 40.75 1015.13 88.98 475.36
20.4 54.9 1016.68 64.26 452.56
34.3 74.67 1015.98 25.89 427.84
27.56 68.08 1010.8 59.18 433.95
30.9 70.8 1008.48 67.48 435.27
14.85 58.59 1014.04 89.85 454.62
16.42 40.56 1020.36 50.62 472.17
16.45 63.31 1015.96 83.97 452.42
10.14 42.02 1003.19 96.51 472.17
9.53 41.44 1018.01 80.09 481.83
17.01 49.15 1021.83 84.02 458.78
23.94 62.08 1022.47 61.97 447.5
15.95 49.25 1019.04 88.51 463.4
11.15 41.26 1022.67 81.83 473.57
25.56 70.32 1009.07 90.63 433.72
27.16 66.44 1011.2 73.37 431.85
26.71 77.95 1012.13 77.5 433.47
29.56 74.22 1007.45 57.46 432.84
31.19 70.94 1007.29 51.91 436.6
6.86 41.17 1020.12 79.14 490.23
12.36 41.74 1020.58 69.24 477.16
32.82 68.31 1010.44 41.85 441.06
25.3 70.98 1007.22 95.1 440.86
8.71 41.82 1033.08 74.53 477.94
13.34 40.8 1026.56 64.85 474.47
14.2 43.02 1012.18 57.07 470.67
23.74 65.34 1013.7 62.9 447.31
16.9 44.88 1018.14 72.21 466.8
28.54 71.94 1007.4 65.99 430.91
30.15 69.88 1007.2 73.67 434.75
14.33 42.86 1010.82 88.59 469.52
25.57 59.43 1008.88 61.19 438.9
30.55 70.04 1010.51 49.37 429.56
28.04 74.33 1013.53 48.65 432.92
26.39 49.16 1005.68 56.18 442.87
15.3 41.76 1022.57 71.56 466.59
6.03 41.14 1028.04 87.46 479.61
13.49 44.63 1019.12 70.02 471.08
27.67 59.14 1016.51 61.2 433.37
24.19 65.48 1018.8 60.54 443.92
24.44 59.14 1016.74 71.82 443.5
29.86 64.79 1017.37 44.8 439.89
30.2 69.59 1008.9 67.32 434.66
7.99 41.38 1021.95 78.77 487.57
9.93 41.62 1013.76 96.02 464.64
11.03 42.32 1017.26 90.56 470.92
22.34 63.73 1014.37 83.19 444.39
25.33 48.6 1002.54 68.45 442.48
18.87 52.08 1005.25 99.19 449.61
25.97 69.34 1009.43 88.11 435.02
16.58 43.99 1021.81 79.29 458.67
14.35 46.18 1016.63 87.76 461.74
25.06 62.39 1008.09 82.56 438.31
13.85 48.92 1011.68 79.24 462.38
16.09 44.2 1019.39 67.24 460.56
26.34 59.21 1013.37 58.98 439.22
23.01 58.79 1009.71 84.22 444.64
26.39 71.25 999.8 89.12 430.34
31.32 71.29 1008.37 50.07 430.46
16.64 45.87 1009.02 98.86 456.79
13.42 41.23 994.17 95.79 468.82
20.06 44.9 1008.79 70.06 448.51
14.8 44.71 1014.67 41.71 470.77
12.59 41.14 1025.79 86.55 465.74
26.7 66.56 1005.31 71.97 430.21
19.78 50.32 1008.62 96.4 449.23
15.17 49.15 1021.91 91.73 461.89
21.71 61.45 1010.97 91.62 445.72
19.09 39.39 1013.36 59.14 466.13
19.76 51.19 1008.38 92.56 448.71
14.68 41.23 998.43 83.71 469.25
21.3 66.86 1013.04 55.43 450.56
16.73 39.64 1008.94 74.91 464.46
12.26 41.5 1014.87 89.41 471.13
14.77 48.06 1010.92 69.81 461.52
18.26 59.15 1012.04 86.01 451.09
27.1 79.74 1005.43 86.05 431.51
14.72 40.83 1009.65 80.98 469.8
26.3 51.43 1012.05 63.62 442.28
16.48 48.92 1011.84 64.16 458.67
17.99 43.79 1016.13 75.63 462.4
20.34 59.8 1015.18 80.21 453.54
25.53 62.96 1019.81 59.7 444.38
31.59 58.9 1003.39 47.6 440.52
30.8 69.14 1007.68 63.78 433.62
10.75 45.0 1023.68 89.37 481.96
19.3 44.9 1008.89 70.55 452.75
4.71 39.42 1026.4 84.42 481.28
23.1 66.05 1020.28 80.62 439.03
32.63 73.88 1005.64 52.56 435.75
26.63 74.16 1009.72 83.26 436.03
24.35 58.49 1011.03 70.64 445.6
15.11 56.03 1020.27 89.95 462.65
29.1 50.05 1005.87 51.53 438.66
21.24 50.32 1008.54 84.83 447.32
6.16 39.48 1004.85 59.68 484.55
7.36 41.01 1024.9 97.88 476.8
10.44 39.04 1023.99 85.03 480.34
26.76 48.41 1010.53 47.38 440.63
16.79 44.6 1014.27 48.08 459.48
10.76 40.43 1025.98 79.65 490.78
6.07 38.91 1019.25 83.39 483.56
27.33 73.18 1012.26 82.18 429.38
27.15 59.21 1013.49 51.71 440.27
22.35 51.43 1011.34 77.33 445.34
21.82 65.27 1013.86 72.81 447.43
21.11 69.94 1004.37 84.26 439.91
19.95 50.59 1016.11 73.23 459.27
7.45 39.61 1017.88 79.73 478.89
15.36 41.66 1012.41 62.32 466.7
15.65 43.5 1021.39 78.58 463.5
25.31 74.33 1015.04 79.88 436.21
25.88 63.47 1011.95 65.87 443.94
24.6 63.94 1012.87 80.28 439.63
22.58 41.54 1013.21 71.33 460.95
19.69 59.14 1015.99 70.33 448.69
25.85 75.08 1006.24 57.73 444.63
10.06 37.83 1005.49 99.46 473.51
18.59 39.54 1008.56 68.61 462.56
18.27 50.16 1011.07 95.91 451.76
8.85 40.43 1025.68 80.42 491.81
30.04 68.08 1011.04 51.01 429.52
26.06 49.02 1007.59 74.08 437.9
14.8 38.73 1003.18 80.73 467.54
23.93 64.45 1015.35 54.71 449.97
23.72 66.48 1003.61 73.75 436.62
11.44 40.55 1023.37 88.43 477.68
20.28 63.86 1016.04 74.66 447.26
27.9 63.13 1011.8 70.04 439.76
24.74 59.39 1015.23 74.64 437.49
14.8 58.2 1018.29 85.11 455.14
8.22 41.03 1021.76 82.97 485.5
27.56 66.93 1016.81 55.59 444.1
32.07 70.94 1006.91 49.9 432.33
9.53 44.03 1008.87 89.99 471.23
13.61 42.34 1017.93 91.61 463.89
22.2 51.19 1009.2 82.95 445.54
21.36 59.54 1007.99 92.62 446.09
23.25 63.86 1017.82 59.64 445.12
23.5 59.21 1018.29 63.0 443.31
8.46 39.66 1015.14 85.38 484.16
8.19 40.69 1019.86 85.23 477.76
30.67 71.29 1008.36 52.08 430.28
32.48 62.04 1010.39 38.05 446.48
8.99 36.66 1028.11 71.98 481.03
13.77 47.83 1007.41 90.66 466.07
19.05 67.32 1013.2 83.14 447.47
21.19 55.5 1019.83 65.22 455.93
10.12 40.0 1021.15 91.67 479.62
24.93 47.01 1014.28 66.04 455.06
8.47 40.46 1019.87 78.19 475.06
24.52 56.85 1012.59 54.47 438.89
28.55 69.84 1003.38 67.26 432.7
20.58 50.9 1011.89 72.56 452.6
18.31 46.21 1010.46 82.15 451.75
27.18 71.06 1008.16 86.32 430.66
4.43 38.91 1019.04 88.17 491.9
26.02 74.78 1010.04 72.78 439.82
15.75 39.0 1015.91 69.58 460.73
22.99 60.95 1015.14 69.86 449.7
25.52 59.15 1013.88 65.37 439.42
27.04 65.06 1013.33 52.37 439.84
6.42 35.57 1025.58 79.63 485.86
17.04 40.12 1011.81 83.14 458.1
10.79 39.82 1012.89 88.25 479.92
20.41 56.03 1019.94 55.85 458.29
7.36 40.07 1017.29 52.55 489.45
28.08 73.42 1012.17 62.74 434.0
24.74 69.13 1010.69 90.08 431.24
28.32 47.93 1003.26 54.5 439.5
16.71 40.56 1019.48 49.88 467.46
30.7 71.58 1010.0 48.96 429.27
18.42 58.95 1016.95 86.77 452.1
10.62 42.02 999.83 96.66 472.41
22.18 69.05 1002.75 70.84 442.14
22.38 49.3 1003.56 83.83 441.0
13.94 41.58 1020.76 68.22 463.07
21.24 60.84 1017.99 82.22 445.71
6.76 39.81 1017.11 87.9 483.16
26.73 68.84 1010.75 66.83 440.45
7.24 38.06 1020.6 85.36 481.83
10.84 40.62 1015.53 60.9 467.6
19.32 52.84 1004.29 83.51 450.88
29.0 69.13 1001.22 52.96 425.5
23.38 54.42 1013.95 73.02 451.87
31.17 69.51 1010.51 43.11 428.94
26.17 48.6 1002.59 61.41 439.86
30.9 73.42 1011.21 65.32 433.44
24.92 73.68 1015.12 93.68 438.23
32.77 71.32 1007.68 42.39 436.95
14.37 40.56 1021.67 68.18 470.19
8.36 40.22 1011.6 89.18 484.66
31.45 68.27 1007.56 64.79 430.81
31.6 73.17 1010.05 43.48 433.37
17.9 48.98 1014.17 80.4 453.02
20.35 50.9 1012.6 72.43 453.5
16.21 41.23 995.88 80.0 463.09
19.36 44.6 1016.25 45.65 464.56
21.04 65.46 1017.22 63.02 452.12
14.05 40.69 1015.66 74.39 470.9
23.48 64.15 1021.08 57.77 450.89
21.91 63.76 1009.85 76.8 445.04
24.42 63.07 1011.49 67.39 444.72
14.26 40.92 1022.07 73.96 460.38
21.38 58.33 1013.05 72.75 446.8
15.71 44.06 1018.34 71.69 465.05
5.78 40.62 1016.55 84.98 484.13
6.77 39.81 1017.01 87.68 488.27
23.84 49.21 1013.85 50.36 447.09
21.17 58.16 1017.16 68.11 452.02
19.94 58.96 1014.16 66.27 455.55
8.73 41.92 1029.41 89.72 480.99
16.39 41.67 1012.96 61.07 467.68
col_name data_type comment
AT double null
V double null
AP double null
RH double null
PE double null
summary AT V AP RH PE
count 9568 9568 9568 9568 9568
mean 19.65123118729102 54.30580372073601 1013.2590781772603 73.30897784280926 454.3650094063554
stddev 7.4524732296110825 12.707892998326784 5.938783705811581 14.600268756728964 17.066994999803402
min 1.81 25.36 992.89 25.56 420.26
max 37.11 81.56 1033.3 100.16 495.76
Temperature Power
14.96 463.26
25.18 444.37
5.11 488.56
20.86 446.48
10.82 473.9
26.27 443.67
15.89 467.35
9.48 478.42
14.64 475.98
11.74 477.5
17.99 453.02
20.14 453.99
24.34 440.29
25.71 451.28
26.19 433.99
21.42 462.19
18.21 467.54
11.04 477.2
14.45 459.85
13.97 464.3
17.76 468.27
5.41 495.24
7.76 483.8
27.23 443.61
27.36 436.06
27.47 443.25
14.6 464.16
7.91 475.52
5.81 484.41
30.53 437.89
23.87 445.11
26.09 438.86
29.27 440.98
27.38 436.65
24.81 444.26
12.75 465.86
24.66 444.37
16.38 450.69
13.91 469.02
23.18 448.86
22.47 447.14
13.39 469.18
9.28 482.8
11.82 476.7
10.27 474.99
22.92 444.22
16.0 461.33
21.22 448.06
13.46 474.6
9.39 473.05
31.07 432.06
12.82 467.41
32.57 430.12
8.11 473.62
13.92 471.81
23.04 442.99
27.31 442.77
5.91 491.49
25.26 447.46
27.97 446.11
26.08 442.44
29.01 446.22
12.18 471.49
13.76 463.5
25.5 440.01
28.26 441.03
21.39 452.68
7.26 474.91
10.54 478.77
27.71 434.2
23.11 437.91
7.51 477.61
26.46 431.65
29.34 430.57
10.32 481.09
22.74 445.56
13.48 475.74
25.52 435.12
21.58 446.15
27.66 436.64
26.96 436.69
12.29 468.75
15.86 466.6
13.87 465.48
24.09 441.34
20.45 441.83
15.07 464.7
32.72 437.99
18.23 459.12
35.56 429.69
18.36 459.8
26.35 433.63
25.92 442.84
8.01 485.13
19.63 459.12
20.02 445.31
10.08 480.8
27.23 432.55
23.37 443.86
18.74 449.77
14.81 470.71
23.1 452.17
10.72 478.29
29.46 428.54
8.1 478.27
27.29 439.58
17.1 457.32
11.49 475.51
23.69 439.66
13.51 471.99
9.64 479.81
25.65 434.78
21.59 446.58
27.98 437.76
18.8 459.36
18.28 462.28
13.55 464.33
22.99 444.36
23.94 438.64
13.74 470.49
21.3 455.13
27.54 450.22
24.81 440.43
4.97 482.98
15.22 460.44
23.88 444.97
33.01 433.94
25.98 439.73
28.18 434.48
21.67 442.33
17.67 457.67
21.37 454.66
28.69 432.21
16.61 457.66
27.91 435.21
20.97 448.22
10.8 475.51
20.61 446.53
25.45 441.3
30.16 433.54
4.99 472.52
10.51 474.77
33.79 435.1
21.34 450.74
23.4 442.7
32.21 426.56
14.26 463.71
27.71 447.06
21.95 452.27
25.76 445.78
23.68 438.65
8.28 480.15
23.44 447.19
25.32 443.04
3.94 488.81
17.3 455.75
18.2 455.86
21.43 457.68
11.16 479.11
30.38 432.84
23.36 448.37
21.69 447.06
23.62 443.53
21.87 445.21
29.25 441.7
20.03 450.93
18.14 451.44
24.23 441.29
18.11 458.85
6.57 481.46
12.56 467.19
13.4 461.54
27.1 439.08
14.28 467.22
16.29 468.8
31.24 426.93
10.57 474.65
13.8 468.97
25.3 433.97
18.06 450.53
25.42 444.51
15.07 469.03
11.75 466.56
20.23 457.57
27.31 440.13
28.57 433.24
17.9 452.55
23.83 443.29
27.92 431.76
17.34 454.97
17.94 456.7
6.4 486.03
11.78 472.79
20.28 452.03
21.04 443.41
25.11 441.93
30.28 432.64
8.14 480.25
16.86 466.68
6.25 494.39
22.35 454.72
17.98 448.71
21.19 469.76
20.94 450.71
24.23 444.01
19.18 453.2
20.88 450.87
23.67 441.73
14.12 465.09
25.23 447.28
6.54 491.16
20.08 450.98
24.67 446.3
27.82 436.48
15.55 460.84
24.26 442.56
13.45 467.3
11.06 479.13
24.91 441.15
22.39 445.52
11.95 475.4
14.85 469.3
10.11 463.57
23.67 445.32
16.14 461.03
15.11 466.74
24.14 444.04
30.08 434.01
14.77 465.23
27.6 440.6
13.89 466.74
26.85 433.48
12.41 473.59
13.08 474.81
18.93 454.75
20.5 452.94
30.72 435.83
7.55 482.19
13.49 466.66
15.62 462.59
24.8 447.82
10.03 462.73
22.43 447.98
14.95 462.72
24.78 442.42
23.2 444.69
14.01 466.7
19.4 453.84
30.15 436.92
6.91 486.37
29.04 440.43
26.02 446.82
5.89 484.91
26.52 437.76
28.53 438.91
16.59 464.19
22.95 442.19
23.96 446.86
17.48 457.15
6.69 482.57
10.25 476.03
28.87 428.89
12.04 472.7
22.58 445.6
15.12 464.78
25.48 440.42
27.87 428.41
23.72 438.5
25.0 438.28
8.42 476.29
22.46 448.46
29.92 438.99
11.68 471.8
14.04 471.81
19.86 449.82
25.99 442.14
23.42 441.46
10.6 477.62
20.97 446.76
14.14 472.52
8.56 471.58
24.86 440.85
29.0 431.37
27.59 437.33
10.45 469.22
8.51 471.11
29.82 439.17
22.56 445.33
11.38 473.71
20.25 452.66
22.42 440.99
14.85 467.42
25.62 444.14
19.85 457.17
13.67 467.87
24.39 442.04
16.07 471.36
11.6 460.7
31.38 431.33
29.91 432.6
19.67 447.61
27.18 443.87
21.39 446.87
10.45 465.74
19.46 447.86
23.55 447.65
23.35 437.87
9.26 483.51
10.3 479.65
20.94 455.16
23.13 431.91
12.77 470.68
28.29 429.28
19.13 450.81
24.44 437.73
20.32 460.21
20.54 442.86
12.16 482.99
28.09 440.0
9.25 478.48
21.75 455.28
23.7 436.94
16.22 461.06
24.75 438.28
10.48 472.61
29.53 426.85
12.59 470.18
23.5 455.38
29.01 428.32
9.75 480.35
19.55 455.56
21.05 447.66
24.72 443.06
21.19 452.43
10.77 477.81
28.68 431.66
29.87 431.8
22.99 446.67
24.66 445.26
32.63 425.72
31.38 430.58
23.87 439.86
25.6 441.11
27.62 434.72
30.1 434.01
12.19 475.64
13.11 460.44
28.29 436.4
13.45 461.03
10.98 479.08
26.48 435.76
13.07 460.14
25.56 442.2
22.68 447.69
28.86 431.15
22.7 445.0
27.89 431.59
13.78 467.22
28.14 445.33
11.8 470.57
10.71 473.77
24.54 447.67
11.54 474.29
29.47 437.14
29.24 432.56
14.51 459.14
22.91 446.19
27.02 428.1
13.49 468.46
30.24 435.02
23.19 445.52
17.73 462.69
18.62 455.75
12.85 463.74
32.33 439.79
25.09 443.26
29.45 432.04
16.91 465.86
14.09 465.6
10.73 469.43
23.2 440.75
8.21 481.32
9.3 479.87
16.97 458.59
23.69 438.62
25.13 445.59
9.86 481.87
11.33 475.01
26.95 436.54
15.0 456.63
20.76 451.69
14.29 463.04
19.74 446.1
26.68 438.67
14.24 466.88
21.98 444.6
22.75 440.26
8.34 483.92
11.8 475.19
8.81 479.24
30.05 434.92
16.01 454.16
21.75 447.58
13.94 467.9
29.25 426.29
22.33 447.02
16.43 455.85
11.5 476.46
23.53 437.48
21.86 452.77
6.17 491.54
30.19 438.41
11.67 476.1
15.34 464.58
11.5 467.74
25.53 442.12
21.27 453.34
28.37 425.29
28.39 449.63
13.78 462.88
14.6 464.67
5.1 489.96
7.0 482.38
26.3 437.95
30.56 429.2
21.09 453.34
28.21 442.47
15.84 462.6
10.03 478.79
20.37 456.11
21.19 450.33
33.73 434.83
29.87 433.43
19.62 456.02
9.93 485.23
9.43 473.57
14.24 469.94
12.97 452.07
7.6 475.32
8.39 480.69
25.41 444.01
18.43 465.17
10.31 480.61
11.29 476.04
22.61 441.76
29.34 428.24
18.87 444.77
13.21 463.1
11.3 470.5
29.23 431.0
27.76 430.68
29.26 436.42
25.72 452.33
23.43 440.16
25.6 435.75
22.3 449.74
27.91 430.73
30.35 432.75
21.78 446.79
7.19 486.35
20.88 453.18
24.19 458.31
9.98 480.26
23.47 448.65
26.35 458.41
29.89 435.39
19.29 450.21
17.48 459.59
25.21 445.84
23.3 441.08
15.42 467.33
21.44 444.19
29.45 432.96
29.69 438.09
15.52 467.9
11.47 475.72
9.77 477.51
22.6 435.13
8.24 477.9
17.01 457.26
19.64 467.53
10.61 465.15
12.04 474.28
29.19 444.49
21.75 452.84
23.66 435.38
27.05 433.57
29.63 435.27
18.2 468.49
32.22 433.07
26.88 430.63
29.05 440.74
8.9 474.49
18.93 449.74
27.49 436.73
23.1 434.58
11.22 473.93
31.97 435.99
13.32 466.83
31.68 427.22
23.69 444.07
13.83 469.57
18.32 459.89
11.05 479.59
22.03 440.92
10.23 480.87
23.92 441.9
29.38 430.2
17.35 465.16
9.81 471.32
4.97 485.43
5.15 495.35
21.54 449.12
7.94 480.53
18.77 457.07
21.69 443.67
10.07 477.52
13.83 472.95
10.45 472.54
11.56 469.17
23.64 435.21
10.48 477.78
13.09 475.89
10.67 483.9
12.57 476.2
14.45 462.16
14.22 471.05
6.97 484.71
20.61 446.34
14.67 469.02
29.06 432.12
14.38 467.28
32.51 429.66
11.79 469.49
8.65 485.87
9.75 481.95
9.11 479.03
23.39 434.5
14.3 464.9
17.49 452.71
31.1 429.74
19.77 457.09
28.61 446.77
13.52 460.76
13.52 471.95
17.57 453.29
28.18 441.61
14.29 464.73
18.12 464.68
31.27 430.59
26.24 438.01
7.44 479.08
29.78 436.39
23.37 447.07
10.62 479.91
5.84 489.05
14.51 463.17
11.31 471.26
11.25 480.49
9.18 473.78
19.82 455.5
24.77 446.27
9.66 482.2
21.96 452.48
18.59 464.48
24.75 438.1
24.37 445.6
29.6 442.43
25.32 436.67
16.15 466.56
15.74 457.29
5.97 487.03
15.84 464.93
14.84 466.0
12.25 469.52
27.38 428.88
8.76 474.3
15.54 461.06
18.71 465.57
13.06 467.67
12.72 466.99
19.83 463.72
27.23 443.78
24.27 445.23
11.8 464.43
6.76 484.36
25.99 442.16
16.3 464.11
16.5 462.48
10.59 477.49
26.05 437.04
19.5 457.09
22.21 450.6
17.86 465.78
29.96 427.1
19.08 459.81
23.59 447.36
3.38 488.92
26.39 433.36
8.99 483.35
10.91 469.53
13.08 476.96
23.95 440.75
15.64 462.55
18.78 448.04
20.65 455.24
4.96 494.75
23.51 444.58
5.99 484.82
23.65 442.9
5.17 485.46
26.38 457.81
6.02 481.92
23.2 443.23
8.57 474.29
30.72 430.46
21.52 455.71
22.93 438.34
5.71 485.83
18.62 452.82
27.88 435.04
22.32 451.21
14.55 465.81
17.83 458.42
9.68 470.22
19.41 449.24
13.22 471.43
12.24 473.26
19.21 452.82
29.74 432.69
23.28 444.13
8.02 467.21
22.47 445.98
27.51 436.91
17.51 455.01
23.22 437.11
11.73 477.06
21.19 441.71
5.48 495.76
24.26 445.63
12.32 464.72
31.26 438.03
32.09 434.78
24.98 444.67
27.48 452.24
21.04 450.92
27.75 436.53
22.79 435.53
24.22 440.01
27.06 443.1
29.25 427.49
26.86 436.25
29.64 440.74
19.92 443.54
18.5 459.42
23.71 439.66
14.39 464.15
19.3 459.1
24.65 455.68
13.5 469.08
9.82 478.02
18.4 456.8
28.12 441.13
17.15 463.88
30.69 430.45
28.82 449.18
21.3 447.89
30.58 431.59
21.17 447.5
9.87 475.58
22.18 453.24
24.39 446.4
10.73 476.81
9.38 474.1
20.27 450.71
24.82 433.62
16.55 465.14
20.73 445.18
9.51 474.12
8.63 483.91
6.48 486.68
14.95 464.98
5.76 481.4
10.94 479.2
15.87 463.86
12.42 472.3
29.12 446.51
29.12 437.71
19.08 458.94
31.06 437.91
5.72 490.76
26.52 439.66
13.84 463.27
13.03 473.99
25.94 433.38
16.64 459.01
14.13 471.44
13.65 471.91
14.5 465.15
19.8 446.66
25.2 438.15
20.66 447.14
12.07 472.32
25.64 441.68
23.33 440.04
29.41 444.82
16.6 457.26
27.53 428.83
20.62 449.07
26.02 435.21
12.75 471.03
12.87 465.56
25.77 442.83
14.84 460.3
7.41 474.25
8.87 477.97
9.69 472.16
16.17 456.08
26.24 452.41
13.78 463.71
26.3 433.72
17.37 456.4
23.6 448.43
8.3 481.6
18.86 457.07
22.12 451.0
28.41 440.28
29.42 437.47
18.61 443.57
27.57 426.6
12.83 470.87
9.64 478.37
19.13 453.92
15.92 470.22
24.64 434.54
27.62 442.89
8.9 479.03
9.55 476.06
10.57 473.88
19.8 451.75
25.63 439.2
24.7 439.7
15.26 463.6
20.06 447.47
19.84 447.92
11.49 471.08
23.74 437.55
22.62 448.27
29.53 431.69
21.32 449.09
20.3 448.79
16.97 460.21
12.07 479.28
7.46 483.11
19.2 450.75
28.64 437.97
13.56 459.76
17.4 457.75
14.08 469.33
27.11 433.28
20.92 444.64
16.18 463.1
15.57 460.91
10.37 479.35
19.6 449.23
9.22 474.51
27.76 435.02
28.68 435.45
20.95 452.38
9.06 480.41
9.21 478.96
13.65 468.87
31.79 434.01
14.32 466.36
26.28 435.28
7.69 486.46
14.44 468.19
9.19 468.37
13.35 474.19
23.04 440.32
4.83 485.32
17.29 464.27
8.73 479.25
26.21 430.4
23.72 447.49
29.27 438.23
10.4 492.09
12.19 475.36
20.4 452.56
34.3 427.84
27.56 433.95
30.9 435.27
14.85 454.62
16.42 472.17
16.45 452.42
10.14 472.17
9.53 481.83
17.01 458.78
23.94 447.5
15.95 463.4
11.15 473.57
25.56 433.72
27.16 431.85
26.71 433.47
29.56 432.84
31.19 436.6
6.86 490.23
12.36 477.16
32.82 441.06
25.3 440.86
8.71 477.94
13.34 474.47
14.2 470.67
23.74 447.31
16.9 466.8
28.54 430.91
30.15 434.75
14.33 469.52
25.57 438.9
30.55 429.56
28.04 432.92
26.39 442.87
15.3 466.59
6.03 479.61
13.49 471.08
27.67 433.37
24.19 443.92
24.44 443.5
29.86 439.89
30.2 434.66
7.99 487.57
9.93 464.64
11.03 470.92
22.34 444.39
25.33 442.48
18.87 449.61
25.97 435.02
16.58 458.67
14.35 461.74
25.06 438.31
13.85 462.38
16.09 460.56
26.34 439.22
23.01 444.64
26.39 430.34
31.32 430.46
16.64 456.79
13.42 468.82
20.06 448.51
14.8 470.77
12.59 465.74
26.7 430.21
19.78 449.23
15.17 461.89
21.71 445.72
19.09 466.13
19.76 448.71
14.68 469.25
21.3 450.56
16.73 464.46
12.26 471.13
14.77 461.52
18.26 451.09
27.1 431.51
14.72 469.8
26.3 442.28
16.48 458.67
17.99 462.4
20.34 453.54
25.53 444.38
31.59 440.52
30.8 433.62
10.75 481.96
19.3 452.75
4.71 481.28
23.1 439.03
32.63 435.75
26.63 436.03
24.35 445.6
15.11 462.65
29.1 438.66
21.24 447.32
6.16 484.55
7.36 476.8
10.44 480.34
26.76 440.63
16.79 459.48
10.76 490.78
6.07 483.56
27.33 429.38
27.15 440.27
22.35 445.34
21.82 447.43
21.11 439.91
19.95 459.27
7.45 478.89
15.36 466.7
15.65 463.5
25.31 436.21
25.88 443.94
24.6 439.63
22.58 460.95
19.69 448.69
25.85 444.63
10.06 473.51
18.59 462.56
18.27 451.76
8.85 491.81
30.04 429.52
26.06 437.9
14.8 467.54
23.93 449.97
23.72 436.62
11.44 477.68
20.28 447.26
27.9 439.76
24.74 437.49
14.8 455.14
8.22 485.5
27.56 444.1
32.07 432.33
9.53 471.23
13.61 463.89
22.2 445.54
21.36 446.09
23.25 445.12
23.5 443.31
8.46 484.16
8.19 477.76
30.67 430.28
32.48 446.48
8.99 481.03
13.77 466.07
19.05 447.47
21.19 455.93
10.12 479.62
24.93 455.06
8.47 475.06
24.52 438.89
28.55 432.7
20.58 452.6
18.31 451.75
27.18 430.66
4.43 491.9
26.02 439.82
15.75 460.73
22.99 449.7
25.52 439.42
27.04 439.84
6.42 485.86
17.04 458.1
10.79 479.92
20.41 458.29
7.36 489.45
28.08 434.0
24.74 431.24
28.32 439.5
16.71 467.46
30.7 429.27
18.42 452.1
10.62 472.41
22.18 442.14
22.38 441.0
13.94 463.07
21.24 445.71
6.76 483.16
26.73 440.45
7.24 481.83
10.84 467.6
19.32 450.88
29.0 425.5
23.38 451.87
31.17 428.94
26.17 439.86
30.9 433.44
24.92 438.23
32.77 436.95
14.37 470.19
8.36 484.66
31.45 430.81
31.6 433.37
17.9 453.02
20.35 453.5
16.21 463.09
19.36 464.56
21.04 452.12
14.05 470.9
23.48 450.89
21.91 445.04
24.42 444.72
14.26 460.38
21.38 446.8
15.71 465.05
5.78 484.13
6.77 488.27
23.84 447.09
21.17 452.02
19.94 455.55
8.73 480.99
16.39 467.68
ExhaustVaccum Power
41.76 463.26
62.96 444.37
39.4 488.56
57.32 446.48
37.5 473.9
59.44 443.67
43.96 467.35
44.71 478.42
45.0 475.98
43.56 477.5
43.72 453.02
46.93 453.99
73.5 440.29
58.59 451.28
69.34 433.99
43.79 462.19
45.0 467.54
41.74 477.2
52.75 459.85
38.47 464.3
42.42 468.27
40.07 495.24
42.28 483.8
63.9 443.61
48.6 436.06
70.72 443.25
39.31 464.16
39.96 475.52
35.79 484.41
65.18 437.89
63.94 445.11
58.41 438.86
66.85 440.98
74.16 436.65
63.94 444.26
44.03 465.86
63.73 444.37
47.45 450.69
39.35 469.02
51.3 448.86
47.45 447.14
44.85 469.18
41.54 482.8
42.86 476.7
40.64 474.99
63.94 444.22
37.87 461.33
43.43 448.06
44.71 474.6
40.11 473.05
73.5 432.06
38.62 467.41
78.92 430.12
42.18 473.62
39.39 471.81
59.43 442.99
64.44 442.77
39.33 491.49
61.08 447.46
58.84 446.11
52.3 442.44
65.71 446.22
40.1 471.49
45.87 463.5
58.79 440.01
65.34 441.03
62.96 452.68
40.69 474.91
34.03 478.77
74.34 434.2
68.3 437.91
41.01 477.61
74.67 431.65
74.34 430.57
42.28 481.09
61.02 445.56
39.85 475.74
69.75 435.12
67.25 446.15
76.86 436.64
69.45 436.69
42.18 468.75
43.02 466.6
45.08 465.48
73.68 441.34
69.45 441.83
39.3 464.7
69.75 437.99
58.96 459.12
68.94 429.69
51.43 459.8
64.05 433.63
60.95 442.84
41.66 485.13
52.72 459.12
67.32 445.31
40.72 480.8
66.48 432.55
63.77 443.86
59.21 449.77
43.69 470.71
51.3 452.17
41.38 478.29
71.94 428.54
40.64 478.27
62.66 439.58
49.69 457.32
44.2 475.51
65.59 439.66
40.89 471.99
39.35 479.81
78.92 434.78
61.87 446.58
58.33 437.76
39.72 459.36
44.71 462.28
43.48 464.33
46.21 444.36
59.39 438.64
34.03 470.49
41.1 455.13
66.93 450.22
63.73 440.43
42.85 482.98
50.88 460.44
54.2 444.97
68.67 433.94
73.18 439.73
73.88 434.48
60.84 442.33
45.09 457.67
57.76 454.66
67.25 432.21
43.77 457.66
63.76 435.21
47.43 448.22
41.66 475.51
62.91 446.53
57.32 441.3
69.34 433.54
39.04 472.52
44.78 474.77
69.05 435.1
59.8 450.74
65.06 442.7
68.14 426.56
42.32 463.71
66.93 447.06
57.76 452.27
63.94 445.78
68.3 438.65
40.77 480.15
62.52 447.19
48.41 443.04
39.9 488.81
57.76 455.75
49.39 455.86
46.97 457.68
40.05 479.11
74.16 432.84
62.52 448.37
47.45 447.06
49.21 443.53
61.45 445.21
66.51 441.7
66.86 450.93
49.78 451.44
56.89 441.29
44.85 458.85
43.65 481.46
43.41 467.19
41.58 461.54
52.84 439.08
42.74 467.22
44.34 468.8
71.98 426.93
37.73 474.65
44.21 468.97
71.58 433.97
50.16 450.53
59.04 444.51
40.69 469.03
71.14 466.56
52.05 457.57
59.54 440.13
69.84 433.24
43.72 452.55
71.37 443.29
74.99 431.76
44.78 454.97
63.07 456.7
39.9 486.03
39.96 472.79
57.25 452.03
54.2 443.41
67.32 441.93
70.98 432.64
36.24 480.25
39.63 466.68
40.07 494.39
54.42 454.72
56.85 448.71
42.48 469.76
44.89 450.71
58.79 444.01
58.2 453.2
57.85 450.87
63.86 441.73
39.52 465.09
64.63 447.28
39.33 491.16
62.52 450.98
63.56 446.3
79.74 436.48
42.03 460.84
69.51 442.56
41.49 467.3
40.64 479.13
52.3 441.15
59.04 445.52
40.69 475.4
40.69 469.3
41.62 463.57
68.67 445.32
44.21 461.03
43.13 466.74
59.87 444.04
67.25 434.01
44.9 465.23
69.34 440.6
44.84 466.74
75.6 433.48
40.96 473.59
41.74 474.81
44.06 454.75
49.69 452.94
69.13 435.83
39.22 482.19
44.47 466.66
40.12 462.59
64.63 447.82
41.62 462.73
63.21 447.98
39.31 462.72
58.46 442.42
48.41 444.69
39.0 466.7
64.63 453.84
67.32 436.92
36.08 486.37
60.07 440.43
63.07 446.82
39.48 484.91
71.64 437.76
68.08 438.91
39.54 464.19
67.79 442.19
47.43 446.86
44.2 457.15
43.65 482.57
41.26 476.03
72.58 428.89
40.23 472.7
52.3 445.6
52.05 464.78
58.95 440.42
70.79 428.41
70.47 438.5
59.43 438.28
40.64 476.29
58.49 448.46
57.19 438.99
39.22 471.8
42.44 471.81
59.14 449.82
68.08 442.14
58.79 441.46
40.22 477.62
61.87 446.76
39.82 472.52
40.71 471.58
72.39 440.85
77.54 431.37
71.97 437.33
40.71 469.22
40.78 471.11
66.51 439.17
62.26 445.33
39.22 473.71
57.76 452.66
59.43 440.99
38.91 467.42
58.82 444.14
56.53 457.17
54.3 467.87
70.72 442.04
44.58 471.36
39.1 460.7
70.83 431.33
76.86 432.6
59.39 447.61
64.79 443.87
52.3 446.87
41.01 465.74
56.89 447.86
62.96 447.65
63.47 437.87
41.66 483.51
41.46 479.65
58.16 455.16
71.25 431.91
41.5 470.68
69.13 429.28
59.21 450.81
73.5 437.73
44.6 460.21
69.05 442.86
45.0 482.99
65.27 440.0
41.82 478.48
49.82 455.28
66.56 436.94
37.87 461.06
69.45 438.28
39.58 472.61
70.79 426.85
39.72 470.18
54.42 455.38
66.56 428.32
42.49 480.35
56.53 455.56
58.33 447.66
68.67 443.06
58.86 452.43
41.54 477.81
73.77 431.66
73.91 431.8
68.67 446.67
60.29 445.26
69.89 425.72
72.29 430.58
60.27 439.86
59.15 441.11
71.14 434.72
67.45 434.01
41.17 475.64
41.58 460.44
68.67 436.4
40.73 461.03
41.54 479.08
69.14 435.76
45.51 460.14
75.6 442.2
50.78 447.69
73.67 431.15
63.56 445.0
73.21 431.59
44.47 467.22
51.43 445.33
45.09 470.57
39.61 473.77
60.29 447.67
40.05 474.29
71.32 437.14
69.05 432.56
41.79 459.14
60.07 446.19
71.77 428.1
44.47 468.46
66.75 435.02
48.6 445.52
40.55 462.69
61.27 455.75
40.0 463.74
69.68 439.79
58.95 443.26
69.13 432.04
43.96 465.86
45.87 465.6
25.36 469.43
49.3 440.75
38.91 481.32
40.56 479.87
39.16 458.59
71.97 438.62
59.44 445.59
43.56 481.87
41.5 475.01
48.41 436.54
40.66 456.63
62.52 451.69
39.59 463.04
67.71 446.1
59.92 438.67
41.4 466.88
48.41 444.6
59.39 440.26
40.96 483.92
41.2 475.19
44.68 479.24
73.68 434.92
65.46 454.16
58.79 447.58
41.26 467.9
69.13 426.29
45.87 447.02
41.79 455.85
40.22 476.46
68.94 437.48
49.21 452.77
39.33 491.54
64.79 438.41
41.93 476.1
36.99 464.58
40.78 467.74
57.17 442.12
57.5 453.34
69.13 425.29
51.43 449.63
45.78 462.88
42.32 464.67
35.57 489.96
38.08 482.38
77.95 437.95
71.98 429.2
46.63 453.34
70.02 442.47
49.69 462.6
40.96 478.79
52.05 456.11
50.16 450.33
69.88 434.83
73.68 433.43
62.96 456.02
40.67 485.23
37.14 473.57
39.58 469.94
49.83 452.07
41.04 475.32
36.24 480.69
48.06 444.01
56.03 465.17
39.82 480.61
41.5 476.04
49.3 441.76
71.98 428.24
67.71 444.77
45.87 463.1
44.6 470.5
72.99 431.0
69.4 430.68
67.17 436.42
49.82 452.33
63.94 440.16
63.76 435.75
44.57 449.74
72.24 430.73
77.17 432.75
47.43 446.79
41.39 486.35
59.8 453.18
50.23 458.31
41.54 480.26
51.3 448.65
49.5 458.41
64.69 435.39
50.16 450.21
43.14 459.59
75.6 445.84
48.78 441.08
37.85 467.33
63.09 444.19
68.27 432.96
47.93 438.09
36.99 467.9
43.67 475.72
34.69 477.51
69.84 435.13
39.61 477.9
44.2 457.26
44.6 467.53
41.58 465.15
40.1 474.28
65.71 444.49
45.09 452.84
77.54 435.38
75.33 433.57
69.71 435.27
39.63 468.49
70.8 433.07
73.56 430.63
65.74 440.74
39.96 474.49
48.6 449.74
63.76 436.73
70.79 434.58
43.13 473.93
79.74 435.99
43.22 466.83
68.24 427.22
63.77 444.07
41.49 469.57
66.51 459.89
40.71 479.59
64.69 440.92
41.46 480.87
66.54 441.9
69.68 430.2
42.86 465.16
44.45 471.32
40.64 485.43
40.07 495.35
58.49 449.12
42.02 480.53
50.66 457.07
69.94 443.67
44.68 477.52
39.64 472.95
39.69 472.54
40.71 469.17
70.04 435.21
40.22 477.78
39.85 475.89
40.23 483.9
39.16 476.2
43.34 462.16
37.85 471.05
41.26 484.71
63.86 446.34
42.28 469.02
72.86 432.12
40.1 467.28
69.98 429.66
45.09 469.49
40.56 485.87
40.81 481.95
40.02 479.03
69.13 434.5
54.3 464.9
63.94 452.71
69.51 429.74
56.65 457.09
72.29 446.77
41.48 460.76
40.83 471.95
46.21 453.29
60.07 441.61
46.18 464.73
43.69 464.68
73.91 430.59
77.95 438.01
41.04 479.08
74.78 436.39
65.46 447.07
39.58 479.91
43.02 489.05
53.82 463.17
42.02 471.26
40.67 480.49
39.42 473.78
58.16 455.5
58.41 446.27
41.06 482.2
59.8 452.48
43.14 464.48
69.89 438.1
63.47 445.6
67.79 442.43
61.25 436.67
41.85 466.56
71.14 457.29
36.25 487.03
52.72 464.93
44.63 466.0
48.79 469.52
70.04 428.88
41.48 474.3
39.31 461.06
39.39 465.57
41.78 467.67
40.71 466.99
39.39 463.72
49.16 443.78
68.28 445.23
40.66 464.43
36.25 484.36
63.07 442.16
39.63 464.11
49.39 462.48
42.49 477.49
65.59 437.04
40.79 457.09
45.01 450.6
45.0 465.78
70.04 427.1
44.63 459.81
47.43 447.36
39.64 488.92
66.49 433.36
39.04 483.35
41.04 469.53
39.82 476.96
58.46 440.75
43.71 462.55
54.2 448.04
50.59 455.24
40.07 494.75
57.32 444.58
35.79 484.82
66.05 442.9
39.33 485.46
49.5 457.81
43.65 481.92
61.02 443.23
39.69 474.29
71.58 430.46
50.66 455.71
62.26 438.34
41.31 485.83
44.06 452.82
68.94 435.04
59.8 451.21
42.74 465.81
44.92 458.42
39.96 470.22
49.39 449.24
44.92 471.43
44.92 473.26
58.49 452.82
70.32 432.69
60.84 444.13
41.92 467.21
48.6 445.98
73.77 436.91
44.9 455.01
66.56 437.11
40.64 477.06
67.71 441.71
40.07 495.76
66.44 445.63
41.62 464.72
68.94 438.03
72.86 434.78
60.32 444.67
61.41 452.24
45.09 450.92
70.4 436.53
71.77 435.53
68.51 440.01
64.45 443.1
71.94 427.49
68.08 436.25
67.79 440.74
63.31 443.54
51.43 459.42
60.23 439.66
44.84 464.15
56.65 459.1
52.36 455.68
45.51 469.08
41.26 478.02
44.06 456.8
44.89 441.13
43.69 463.88
73.67 430.45
65.71 449.18
48.92 447.89
70.04 431.59
52.3 447.5
41.82 475.58
59.8 453.24
63.21 446.4
44.92 476.81
40.46 474.1
57.76 450.71
66.48 433.62
41.66 465.14
59.87 445.18
39.22 474.12
43.79 483.91
40.27 486.68
43.52 464.98
45.87 481.4
39.04 479.2
41.16 463.86
38.25 472.3
58.84 446.51
51.43 437.71
41.1 458.94
67.17 437.91
39.33 490.76
65.06 439.66
44.9 463.27
39.52 473.99
66.49 433.38
53.82 459.01
40.75 471.44
39.28 471.91
44.47 465.15
51.19 446.66
63.76 438.15
51.19 447.14
43.71 472.32
70.72 441.68
72.99 440.04
64.05 444.82
53.16 457.26
72.58 428.83
43.43 449.07
71.94 435.21
44.2 471.03
48.04 465.56
62.96 442.83
41.48 460.3
40.71 474.25
41.82 477.97
40.46 472.16
46.97 456.08
49.82 452.41
43.22 463.71
67.07 433.72
57.76 456.4
48.98 448.43
36.08 481.6
42.18 457.07
49.39 451.0
75.6 440.28
71.32 437.47
67.71 443.57
69.84 426.6
41.5 470.87
39.85 478.37
58.66 453.92
40.56 470.22
72.24 434.54
63.9 442.89
36.24 479.03
43.99 476.06
36.71 473.88
57.25 451.75
56.85 439.2
58.46 439.7
46.18 463.6
52.84 447.47
56.89 447.92
44.63 471.08
72.43 437.55
51.3 448.27
72.39 431.69
48.14 449.09
58.46 448.79
44.92 460.21
41.17 479.28
41.82 483.11
54.2 450.75
66.54 437.97
41.48 459.76
44.9 457.75
40.1 469.33
69.75 433.28
70.02 444.64
44.9 463.1
44.68 460.91
39.04 479.35
59.21 449.23
40.92 474.51
72.99 435.02
70.72 435.45
48.14 452.38
39.3 480.41
39.72 478.96
42.74 468.87
76.2 434.01
44.6 466.36
75.23 435.28
43.02 486.46
40.1 468.19
41.01 468.37
41.39 474.19
74.22 440.32
38.44 485.32
42.86 464.27
36.18 479.25
70.32 430.4
58.62 447.49
64.69 438.23
40.43 492.09
40.75 475.36
54.9 452.56
74.67 427.84
68.08 433.95
70.8 435.27
58.59 454.62
40.56 472.17
63.31 452.42
42.02 472.17
41.44 481.83
49.15 458.78
62.08 447.5
49.25 463.4
41.26 473.57
70.32 433.72
66.44 431.85
77.95 433.47
74.22 432.84
70.94 436.6
41.17 490.23
41.74 477.16
68.31 441.06
70.98 440.86
41.82 477.94
40.8 474.47
43.02 470.67
65.34 447.31
44.88 466.8
71.94 430.91
69.88 434.75
42.86 469.52
59.43 438.9
70.04 429.56
74.33 432.92
49.16 442.87
41.76 466.59
41.14 479.61
44.63 471.08
59.14 433.37
65.48 443.92
59.14 443.5
64.79 439.89
69.59 434.66
41.38 487.57
41.62 464.64
42.32 470.92
63.73 444.39
48.6 442.48
52.08 449.61
69.34 435.02
43.99 458.67
46.18 461.74
62.39 438.31
48.92 462.38
44.2 460.56
59.21 439.22
58.79 444.64
71.25 430.34
71.29 430.46
45.87 456.79
41.23 468.82
44.9 448.51
44.71 470.77
41.14 465.74
66.56 430.21
50.32 449.23
49.15 461.89
61.45 445.72
39.39 466.13
51.19 448.71
41.23 469.25
66.86 450.56
39.64 464.46
41.5 471.13
48.06 461.52
59.15 451.09
79.74 431.51
40.83 469.8
51.43 442.28
48.92 458.67
43.79 462.4
59.8 453.54
62.96 444.38
58.9 440.52
69.14 433.62
45.0 481.96
44.9 452.75
39.42 481.28
66.05 439.03
73.88 435.75
74.16 436.03
58.49 445.6
56.03 462.65
50.05 438.66
50.32 447.32
39.48 484.55
41.01 476.8
39.04 480.34
48.41 440.63
44.6 459.48
40.43 490.78
38.91 483.56
73.18 429.38
59.21 440.27
51.43 445.34
65.27 447.43
69.94 439.91
50.59 459.27
39.61 478.89
41.66 466.7
43.5 463.5
74.33 436.21
63.47 443.94
63.94 439.63
41.54 460.95
59.14 448.69
75.08 444.63
37.83 473.51
39.54 462.56
50.16 451.76
40.43 491.81
68.08 429.52
49.02 437.9
38.73 467.54
64.45 449.97
66.48 436.62
40.55 477.68
63.86 447.26
63.13 439.76
59.39 437.49
58.2 455.14
41.03 485.5
66.93 444.1
70.94 432.33
44.03 471.23
42.34 463.89
51.19 445.54
59.54 446.09
63.86 445.12
59.21 443.31
39.66 484.16
40.69 477.76
71.29 430.28
62.04 446.48
36.66 481.03
47.83 466.07
67.32 447.47
55.5 455.93
40.0 479.62
47.01 455.06
40.46 475.06
56.85 438.89
69.84 432.7
50.9 452.6
46.21 451.75
71.06 430.66
38.91 491.9
74.78 439.82
39.0 460.73
60.95 449.7
59.15 439.42
65.06 439.84
35.57 485.86
40.12 458.1
39.82 479.92
56.03 458.29
40.07 489.45
73.42 434.0
69.13 431.24
47.93 439.5
40.56 467.46
71.58 429.27
58.95 452.1
42.02 472.41
69.05 442.14
49.3 441.0
41.58 463.07
60.84 445.71
39.81 483.16
68.84 440.45
38.06 481.83
40.62 467.6
52.84 450.88
69.13 425.5
54.42 451.87
69.51 428.94
48.6 439.86
73.42 433.44
73.68 438.23
71.32 436.95
40.56 470.19
40.22 484.66
68.27 430.81
73.17 433.37
48.98 453.02
50.9 453.5
41.23 463.09
44.6 464.56
65.46 452.12
40.69 470.9
64.15 450.89
63.76 445.04
63.07 444.72
40.92 460.38
58.33 446.8
44.06 465.05
40.62 484.13
39.81 488.27
49.21 447.09
58.16 452.02
58.96 455.55
41.92 480.99
41.67 467.68
Pressure Power
1024.07 463.26
1020.04 444.37
1012.16 488.56
1010.24 446.48
1009.23 473.9
1012.23 443.67
1014.02 467.35
1019.12 478.42
1021.78 475.98
1015.14 477.5
1008.64 453.02
1014.66 453.99
1011.31 440.29
1012.77 451.28
1009.48 433.99
1015.76 462.19
1022.86 467.54
1022.6 477.2
1023.97 459.85
1015.15 464.3
1009.09 468.27
1019.16 495.24
1008.52 483.8
1014.3 443.61
1003.18 436.06
1009.97 443.25
1011.11 464.16
1023.57 475.52
1012.14 484.41
1012.69 437.89
1019.02 445.11
1013.64 438.86
1011.11 440.98
1010.08 436.65
1018.76 444.26
1007.29 465.86
1011.4 444.37
1010.08 450.69
1014.69 469.02
1012.04 448.86
1007.62 447.14
1017.24 469.18
1018.33 482.8
1014.12 476.7
1020.63 474.99
1019.28 444.22
1020.24 461.33
1010.96 448.06
1014.51 474.6
1029.14 473.05
1010.58 432.06
1018.71 467.41
1011.6 430.12
1014.82 473.62
1012.94 471.81
1010.23 442.99
1014.65 442.77
1010.18 491.49
1013.68 447.46
1002.25 446.11
1007.03 442.44
1013.61 446.22
1016.67 471.49
1008.89 463.5
1016.02 440.01
1014.56 441.03
1019.49 452.68
1020.43 474.91
1018.71 478.77
998.14 434.2
1017.83 437.91
1024.61 477.61
1016.65 431.65
998.58 430.57
1008.82 481.09
1009.56 445.56
1012.71 475.74
1010.36 435.12
1017.39 446.15
1001.31 436.64
1013.89 436.69
1016.53 468.75
1012.18 466.6
1024.42 465.48
1014.93 441.34
1012.53 441.83
1019.0 464.7
1009.6 437.99
1015.55 459.12
1006.56 429.69
1010.57 459.8
1009.81 433.63
1014.62 442.84
1014.49 485.13
1025.09 459.12
1012.05 445.31
1022.7 480.8
1005.23 432.55
1013.42 443.86
1018.3 449.77
1017.19 470.71
1011.93 452.17
1021.6 478.29
1006.96 428.54
1020.66 478.27
1007.63 439.58
1005.53 457.32
1018.79 475.51
1010.85 439.66
1011.03 471.99
1015.1 479.81
1010.83 434.78
1011.18 446.58
1013.92 437.76
1001.24 459.36
1016.99 462.28
1016.08 464.33
1010.71 444.36
1014.32 438.64
1018.69 470.49
1001.86 455.13
1017.06 450.22
1009.34 440.43
1014.02 482.98
1014.19 460.44
1012.81 444.97
1005.2 433.94
1012.28 439.73
1005.89 434.48
1017.93 442.33
1014.26 457.67
1018.8 454.66
1017.71 432.21
1012.25 457.66
1010.27 435.21
1007.64 448.22
1013.79 475.51
1013.24 446.53
1011.7 441.3
1007.67 433.54
1020.45 472.52
1012.59 474.77
1001.62 435.1
1016.92 450.74
1014.32 442.7
1003.34 426.56
1016.0 463.71
1016.85 447.06
1018.02 452.27
1018.49 445.78
1017.93 438.65
1011.55 480.15
1016.46 447.19
1008.47 443.04
1008.06 488.81
1016.26 455.75
1018.83 455.86
1013.94 457.68
1014.95 479.11
1007.44 432.84
1016.18 448.37
1007.56 447.06
1014.1 443.53
1011.13 445.21
1015.53 441.7
1013.05 450.93
1002.95 451.44
1012.32 441.29
1014.48 458.85
1018.24 481.46
1016.93 467.19
1020.5 461.54
1006.28 439.08
1028.79 467.22
1019.49 468.8
1004.66 426.93
1024.36 474.65
1022.93 468.97
1010.18 433.97
1009.52 450.53
1011.98 444.51
1015.29 469.03
1019.36 466.56
1012.15 457.57
1006.24 440.13
1003.57 433.24
1008.64 452.55
1002.04 443.29
1005.47 431.76
1007.81 454.97
1012.42 456.7
1007.75 486.03
1011.37 472.79
1010.12 452.03
1012.26 443.41
1014.49 441.93
1007.51 432.64
1013.15 480.25
1004.47 466.68
1020.19 494.39
1012.46 454.72
1012.28 448.71
1013.43 469.76
1009.64 450.71
1009.8 444.01
1017.46 453.2
1012.39 450.87
1019.67 441.73
1018.41 465.09
1020.59 447.28
1011.54 491.16
1017.99 450.98
1013.75 446.3
1008.37 436.48
1017.41 460.84
1013.43 442.56
1020.19 467.3
1021.47 479.13
1008.72 441.15
1011.78 445.52
1015.62 475.4
1014.91 469.3
1017.17 463.57
1006.71 445.32
1020.36 461.03
1014.99 466.74
1018.47 444.04
1017.6 434.01
1020.5 465.23
1009.63 440.6
1023.66 466.74
1017.43 433.48
1023.36 473.59
1020.75 474.81
1017.58 454.75
1009.6 452.94
1009.94 435.83
1014.53 482.19
1030.46 466.66
1013.03 462.59
1020.69 447.82
1014.55 462.73
1012.06 447.98
1009.15 462.72
1016.82 442.42
1008.64 444.69
1016.73 466.7
1020.38 453.84
1013.83 436.92
1021.82 486.37
1015.42 440.43
1010.94 446.82
1005.11 484.91
1008.27 437.76
1013.27 438.91
1007.97 464.19
1009.89 442.19
1008.38 446.86
1018.89 457.15
1020.14 482.57
1007.44 476.03
1008.69 428.89
1018.07 472.7
1009.04 445.6
1014.63 464.78
1017.02 440.42
1003.96 428.41
1010.65 438.5
1007.84 438.28
1022.35 476.29
1011.5 448.46
1008.62 438.99
1017.9 471.8
1012.74 471.81
1016.12 449.82
1013.13 442.14
1009.74 441.46
1011.37 477.62
1011.45 446.76
1012.46 472.52
1021.27 471.58
1001.15 440.85
1011.33 431.37
1008.64 437.33
1015.68 469.22
1023.51 471.11
1010.98 439.17
1012.11 445.33
1018.62 473.71
1016.28 452.66
1007.12 440.99
1014.48 467.42
1010.02 444.14
1020.57 457.17
1015.92 467.87
1009.78 442.04
1019.52 471.36
1009.81 460.7
1010.35 431.33
998.59 432.6
1014.07 447.61
1016.27 443.87
1009.2 446.87
1020.57 465.74
1014.02 447.86
1020.16 447.65
1011.78 437.87
1016.87 483.51
1018.21 479.65
1016.88 455.16
1002.49 431.91
1014.13 470.68
1009.29 429.28
1018.32 450.81
1011.49 437.73
1015.16 460.21
1001.6 442.86
1021.51 482.99
1013.27 440.0
1033.25 478.48
1015.01 455.28
1002.07 436.94
1022.36 461.06
1013.97 438.28
1011.81 472.61
1003.7 426.85
1017.76 470.18
1012.31 455.38
1006.44 428.32
1010.57 480.35
1020.2 455.56
1013.14 447.66
1006.74 443.06
1014.19 452.43
1019.94 477.81
1004.72 431.66
1004.53 431.8
1006.65 446.67
1018.0 445.26
1013.85 425.72
1008.73 430.58
1018.94 439.86
1013.31 441.11
1011.6 434.72
1014.23 434.01
1019.43 475.64
1020.43 460.44
1005.46 436.4
1018.7 461.03
1019.94 479.08
1009.31 435.76
1015.22 460.14
1017.37 442.2
1008.83 447.69
1006.65 431.15
1014.32 445.0
1001.32 431.59
1027.94 467.22
1012.16 445.33
1013.21 470.57
1018.72 473.77
1017.42 447.67
1014.78 474.29
1008.07 437.14
1003.12 432.56
1009.72 459.14
1016.03 446.19
1006.38 428.1
1030.18 468.46
1017.95 435.02
1002.38 445.52
1003.36 462.69
1019.26 455.75
1015.89 463.74
1011.95 439.79
1016.99 443.26
1009.3 432.04
1013.32 465.86
1009.05 465.6
1009.35 469.43
1003.4 440.75
1015.82 481.32
1022.64 479.87
1005.7 458.59
1009.62 438.62
1012.38 445.59
1015.13 481.87
1013.58 475.01
1008.53 436.54
1016.28 456.63
1015.63 451.69
1010.93 463.04
1007.68 446.1
1009.94 438.67
1019.7 466.88
1008.42 444.6
1015.4 440.26
1023.28 483.92
1017.18 475.19
1023.06 479.24
1014.95 434.92
1014.0 454.16
1012.42 447.58
1021.67 467.9
1010.27 426.29
1007.8 447.02
1005.47 455.85
1010.31 476.46
1007.53 437.48
1014.61 452.77
1012.57 491.54
1017.22 438.41
1019.81 476.1
1007.87 464.58
1023.91 467.74
1010.0 442.12
1014.53 453.34
1010.44 425.29
1011.74 449.63
1025.27 462.88
1015.71 464.67
1027.17 489.96
1020.27 482.38
1009.45 437.95
1004.74 429.2
1013.03 453.34
1010.58 442.47
1015.14 462.6
1024.57 478.79
1012.34 456.11
1005.81 450.33
1007.21 434.83
1015.1 433.43
1020.76 456.02
1018.08 485.23
1013.03 473.57
1011.17 469.94
1008.69 452.07
1021.82 475.32
1013.39 480.69
1013.12 444.01
1020.41 465.17
1012.87 480.61
1013.39 476.04
1003.51 441.76
1005.19 428.24
1004.0 444.77
1008.58 463.1
1018.19 470.5
1007.04 431.0
1004.27 430.68
1006.6 436.42
1016.19 452.33
1010.64 440.16
1010.18 435.75
1008.48 449.74
1010.74 430.73
1009.55 432.75
1007.88 446.79
1018.12 486.35
1015.66 453.18
1015.73 458.31
1019.7 480.26
1011.89 448.65
1012.67 458.41
1006.37 435.39
1010.49 450.21
1018.68 459.59
1017.19 445.84
1018.17 441.08
1009.89 467.33
1016.56 444.19
1007.96 432.96
1002.85 438.09
1006.86 467.9
1012.68 475.72
1027.72 477.51
1006.37 435.13
1017.99 477.9
1019.18 457.26
1015.88 467.53
1021.08 465.15
1014.42 474.28
1013.85 444.49
1014.15 452.84
1008.5 435.38
1003.88 433.57
1009.04 435.27
1005.35 468.49
1009.9 433.07
1004.85 430.63
1013.29 440.74
1026.31 474.49
1005.72 449.74
1010.09 436.73
1006.53 434.58
1017.24 473.93
1007.03 435.99
1009.45 466.83
1005.29 427.22
1013.39 444.07
1020.11 469.57
1015.18 459.89
1024.91 479.59
1007.21 440.92
1020.45 480.87
1009.93 441.9
1011.35 430.2
1014.62 465.16
1021.19 471.32
1020.91 485.43
1012.27 495.35
1010.85 449.12
1006.22 480.53
1014.89 457.07
1010.7 443.67
1023.44 477.52
1012.52 472.95
1003.92 472.54
1015.85 469.17
1011.09 435.21
1004.81 477.78
1012.86 475.89
1017.75 483.9
1016.53 476.2
1015.47 462.16
1011.24 471.05
1010.6 484.71
1015.43 446.34
1007.21 469.02
1004.23 432.12
1015.51 467.28
1013.29 429.66
1013.16 469.49
1023.23 485.87
1026.0 481.95
1031.1 479.03
1010.99 434.5
1015.16 464.9
1020.02 452.71
1010.84 429.74
1020.67 457.09
1011.61 446.77
1014.46 460.76
1008.31 471.95
1014.09 453.29
1016.34 441.61
1017.01 464.73
1016.91 464.68
1003.72 430.59
1014.19 438.01
1021.84 479.08
1009.28 436.39
1016.25 447.07
1011.9 479.91
1013.88 489.05
1016.46 463.17
1001.18 471.26
1011.64 480.49
1025.41 473.78
1016.76 455.5
1013.78 446.27
1021.21 482.2
1016.72 452.48
1011.92 464.48
1015.29 438.1
1012.77 445.6
1010.37 442.43
1011.56 436.67
1016.54 466.56
1019.65 457.29
1029.65 487.03
1026.45 464.93
1019.28 466.0
1017.44 469.52
1011.18 428.88
1018.49 474.3
1009.69 461.06
1014.09 465.57
1012.3 467.67
1016.02 466.99
1013.73 463.72
1004.03 443.78
1005.43 445.23
1017.13 464.43
1028.31 484.36
1012.5 442.16
1004.64 464.11
1018.35 462.48
1009.59 477.49
1012.78 437.04
1003.8 457.09
1012.22 450.6
1023.25 465.78
1010.15 427.1
1020.14 459.81
1006.64 447.36
1011.0 488.92
1012.96 433.36
1021.99 483.35
1026.57 469.53
1012.27 476.96
1017.5 440.75
1024.51 462.55
1012.05 448.04
1016.22 455.24
1011.8 494.75
1012.55 444.58
1011.56 484.82
1019.6 442.9
1009.68 485.46
1012.82 457.81
1013.85 481.92
1009.63 443.23
1000.91 474.29
1009.98 430.46
1013.56 455.71
1011.25 438.34
1003.24 485.83
1017.76 452.82
1007.68 435.04
1016.82 451.21
1028.41 465.81
1025.04 458.42
1026.09 470.22
1020.84 449.24
1023.84 471.43
1023.74 473.26
1011.7 452.82
1008.1 432.69
1017.91 444.13
1029.8 467.21
1002.33 445.98
1002.42 436.91
1009.05 455.01
1002.47 437.11
1020.68 477.06
1006.65 441.71
1019.63 495.76
1011.33 445.63
1012.88 464.72
1005.94 438.03
1003.47 434.78
1015.63 444.67
1012.2 452.24
1014.19 450.92
1006.65 436.53
1005.75 435.53
1013.23 440.01
1008.72 443.1
1007.18 427.49
1012.99 436.25
1009.99 440.74
1015.02 443.54
1010.82 459.42
1009.76 439.66
1023.55 464.15
1020.55 459.1
1014.76 455.68
1015.33 469.08
1007.71 478.02
1017.36 456.8
1009.18 441.13
1017.05 463.88
1006.14 430.45
1014.24 449.18
1010.92 447.89
1010.4 431.59
1009.36 447.5
1033.04 475.58
1016.77 453.24
1012.59 446.4
1025.1 476.81
1019.29 474.1
1016.66 450.71
1006.4 433.62
1011.45 465.14
1019.08 445.18
1015.3 474.12
1016.08 483.91
1010.55 486.68
1022.43 464.98
1010.83 481.4
1021.81 479.2
1005.85 463.86
1012.76 472.3
1001.31 446.51
1005.93 437.71
1001.96 458.94
1007.62 437.91
1009.96 490.76
1013.4 439.66
1007.58 463.27
1016.68 473.99
1012.83 433.38
1015.13 459.01
1016.05 471.44
1012.97 471.91
1028.2 465.15
1008.25 446.66
1009.78 438.15
1008.81 447.14
1025.53 472.32
1010.16 441.68
1009.33 440.04
1009.82 444.82
1014.5 457.26
1009.13 428.83
1009.93 449.07
1009.38 435.21
1017.59 471.03
1012.47 465.56
1019.86 442.83
1017.26 460.3
1023.07 474.25
1033.3 477.97
1019.1 472.16
1014.22 456.08
1014.9 452.41
1011.31 463.71
1006.26 433.72
1016.0 456.4
1015.41 448.43
1020.63 481.6
1001.16 457.07
1019.8 451.0
1018.48 440.28
1002.26 437.47
1004.07 443.57
1004.91 426.6
1013.12 470.87
1012.9 478.37
1013.32 453.92
1020.79 470.22
1011.37 434.54
1013.11 442.89
1013.29 479.03
1020.5 476.06
1022.62 473.88
1010.84 451.75
1012.68 439.2
1015.58 439.7
1013.68 463.6
1004.21 447.47
1013.23 447.92
1020.44 471.08
1007.99 437.55
1012.36 448.27
998.47 431.69
1016.57 449.09
1015.93 448.79
1025.21 460.21
1013.54 479.28
1032.67 483.11
1011.46 450.75
1010.43 437.97
1008.53 459.76
1020.5 457.75
1015.48 469.33
1009.74 433.28
1010.23 444.64
1021.3 463.1
1022.01 460.91
1023.95 479.35
1017.65 449.23
1021.83 474.51
1007.81 435.02
1009.43 435.45
1013.3 452.38
1019.73 480.41
1019.54 478.96
1026.58 468.87
1007.89 434.01
1013.85 466.36
1011.44 435.28
1014.51 486.46
1015.51 468.19
1022.14 468.37
1019.17 474.19
1009.52 440.32
1015.35 485.32
1014.38 464.27
1013.66 479.25
1007.0 430.4
1016.65 447.49
1006.85 438.23
1025.46 492.09
1015.13 475.36
1016.68 452.56
1015.98 427.84
1010.8 433.95
1008.48 435.27
1014.04 454.62
1020.36 472.17
1015.96 452.42
1003.19 472.17
1018.01 481.83
1021.83 458.78
1022.47 447.5
1019.04 463.4
1022.67 473.57
1009.07 433.72
1011.2 431.85
1012.13 433.47
1007.45 432.84
1007.29 436.6
1020.12 490.23
1020.58 477.16
1010.44 441.06
1007.22 440.86
1033.08 477.94
1026.56 474.47
1012.18 470.67
1013.7 447.31
1018.14 466.8
1007.4 430.91
1007.2 434.75
1010.82 469.52
1008.88 438.9
1010.51 429.56
1013.53 432.92
1005.68 442.87
1022.57 466.59
1028.04 479.61
1019.12 471.08
1016.51 433.37
1018.8 443.92
1016.74 443.5
1017.37 439.89
1008.9 434.66
1021.95 487.57
1013.76 464.64
1017.26 470.92
1014.37 444.39
1002.54 442.48
1005.25 449.61
1009.43 435.02
1021.81 458.67
1016.63 461.74
1008.09 438.31
1011.68 462.38
1019.39 460.56
1013.37 439.22
1009.71 444.64
999.8 430.34
1008.37 430.46
1009.02 456.79
994.17 468.82
1008.79 448.51
1014.67 470.77
1025.79 465.74
1005.31 430.21
1008.62 449.23
1021.91 461.89
1010.97 445.72
1013.36 466.13
1008.38 448.71
998.43 469.25
1013.04 450.56
1008.94 464.46
1014.87 471.13
1010.92 461.52
1012.04 451.09
1005.43 431.51
1009.65 469.8
1012.05 442.28
1011.84 458.67
1016.13 462.4
1015.18 453.54
1019.81 444.38
1003.39 440.52
1007.68 433.62
1023.68 481.96
1008.89 452.75
1026.4 481.28
1020.28 439.03
1005.64 435.75
1009.72 436.03
1011.03 445.6
1020.27 462.65
1005.87 438.66
1008.54 447.32
1004.85 484.55
1024.9 476.8
1023.99 480.34
1010.53 440.63
1014.27 459.48
1025.98 490.78
1019.25 483.56
1012.26 429.38
1013.49 440.27
1011.34 445.34
1013.86 447.43
1004.37 439.91
1016.11 459.27
1017.88 478.89
1012.41 466.7
1021.39 463.5
1015.04 436.21
1011.95 443.94
1012.87 439.63
1013.21 460.95
1015.99 448.69
1006.24 444.63
1005.49 473.51
1008.56 462.56
1011.07 451.76
1025.68 491.81
1011.04 429.52
1007.59 437.9
1003.18 467.54
1015.35 449.97
1003.61 436.62
1023.37 477.68
1016.04 447.26
1011.8 439.76
1015.23 437.49
1018.29 455.14
1021.76 485.5
1016.81 444.1
1006.91 432.33
1008.87 471.23
1017.93 463.89
1009.2 445.54
1007.99 446.09
1017.82 445.12
1018.29 443.31
1015.14 484.16
1019.86 477.76
1008.36 430.28
1010.39 446.48
1028.11 481.03
1007.41 466.07
1013.2 447.47
1019.83 455.93
1021.15 479.62
1014.28 455.06
1019.87 475.06
1012.59 438.89
1003.38 432.7
1011.89 452.6
1010.46 451.75
1008.16 430.66
1019.04 491.9
1010.04 439.82
1015.91 460.73
1015.14 449.7
1013.88 439.42
1013.33 439.84
1025.58 485.86
1011.81 458.1
1012.89 479.92
1019.94 458.29
1017.29 489.45
1012.17 434.0
1010.69 431.24
1003.26 439.5
1019.48 467.46
1010.0 429.27
1016.95 452.1
999.83 472.41
1002.75 442.14
1003.56 441.0
1020.76 463.07
1017.99 445.71
1017.11 483.16
1010.75 440.45
1020.6 481.83
1015.53 467.6
1004.29 450.88
1001.22 425.5
1013.95 451.87
1010.51 428.94
1002.59 439.86
1011.21 433.44
1015.12 438.23
1007.68 436.95
1021.67 470.19
1011.6 484.66
1007.56 430.81
1010.05 433.37
1014.17 453.02
1012.6 453.5
995.88 463.09
1016.25 464.56
1017.22 452.12
1015.66 470.9
1021.08 450.89
1009.85 445.04
1011.49 444.72
1022.07 460.38
1013.05 446.8
1018.34 465.05
1016.55 484.13
1017.01 488.27
1013.85 447.09
1017.16 452.02
1014.16 455.55
1029.41 480.99
1012.96 467.68
Humidity Power
73.17 463.26
59.08 444.37
92.14 488.56
76.64 446.48
96.62 473.9
58.77 443.67
75.24 467.35
66.43 478.42
41.25 475.98
70.72 477.5
75.04 453.02
64.22 453.99
84.15 440.29
61.83 451.28
87.59 433.99
43.08 462.19
48.84 467.54
77.51 477.2
63.59 459.85
55.28 464.3
66.26 468.27
64.77 495.24
83.31 483.8
47.19 443.61
54.93 436.06
74.62 443.25
72.52 464.16
88.44 475.52
92.28 484.41
41.85 437.89
44.28 445.11
64.58 438.86
63.25 440.98
78.61 436.65
44.51 444.26
89.46 465.86
74.52 444.37
88.86 450.69
75.51 469.02
78.64 448.86
76.65 447.14
80.44 469.18
79.89 482.8
88.28 476.7
84.6 474.99
42.69 444.22
78.41 461.33
61.07 448.06
50.0 474.6
77.29 473.05
43.66 432.06
83.8 467.41
66.47 430.12
93.09 473.62
80.52 471.81
68.99 442.99
57.27 442.77
95.53 491.49
71.72 447.46
57.88 446.11
63.34 442.44
48.07 446.22
91.87 471.49
87.27 463.5
64.4 440.01
43.4 441.03
72.24 452.68
90.22 474.91
74.0 478.77
71.85 434.2
86.62 437.91
97.41 477.61
84.44 431.65
81.55 430.57
75.66 481.09
79.41 445.56
58.91 475.74
90.06 435.12
79.0 446.15
69.47 436.64
51.47 436.69
83.13 468.75
40.33 466.6
81.69 465.48
94.55 441.34
91.81 441.83
63.62 464.7
49.35 437.99
69.61 459.12
38.75 429.69
90.17 459.8
81.24 433.63
48.46 442.84
76.72 485.13
51.16 459.12
76.34 445.31
67.3 480.8
52.38 432.55
76.44 443.86
91.55 449.77
71.9 470.71
80.05 452.17
63.77 478.29
62.26 428.54
89.04 478.27
58.02 439.58
81.82 457.32
91.14 475.51
88.92 439.66
84.83 471.99
91.76 479.81
86.56 434.78
57.21 446.58
54.25 437.76
63.8 459.36
33.71 462.28
67.25 464.33
60.11 444.36
74.55 438.64
67.34 470.49
42.75 455.13
55.2 450.22
83.61 440.43
88.78 482.98
100.12 460.44
64.52 444.97
51.41 433.94
85.78 439.73
75.41 434.48
81.63 442.33
51.92 457.67
70.12 454.66
53.83 432.21
77.23 457.66
65.67 435.21
71.18 448.22
81.96 475.51
79.54 446.53
47.09 441.3
57.69 433.54
78.89 472.52
85.29 474.77
40.13 435.1
77.06 450.74
67.38 442.7
62.44 426.56
77.43 463.71
58.77 447.06
67.72 452.27
42.14 445.78
84.16 438.65
89.79 480.15
67.21 447.19
72.14 443.04
97.49 488.81
87.74 455.75
96.3 455.86
61.25 457.68
88.38 479.11
74.77 432.84
68.18 448.37
77.2 447.06
49.54 443.53
92.22 445.21
33.65 441.7
64.59 450.93
100.09 451.44
68.04 441.29
48.94 458.85
74.47 481.46
81.02 467.19
71.17 461.54
53.85 439.08
70.67 467.22
59.36 468.8
57.17 426.93
70.29 474.65
83.37 468.97
87.36 433.97
100.09 450.53
68.78 444.51
70.98 469.03
75.68 466.56
47.49 457.57
71.99 440.13
66.55 433.24
74.73 452.55
64.78 443.29
75.13 431.76
56.38 454.97
94.35 456.7
86.55 486.03
82.95 472.79
88.42 452.03
85.61 443.41
58.39 441.93
74.28 432.64
87.85 480.25
83.5 466.68
65.24 494.39
75.01 454.72
84.52 448.71
80.52 469.76
75.14 450.71
75.75 444.01
76.72 453.2
85.47 450.87
57.95 441.73
78.32 465.09
52.2 447.28
93.69 491.16
75.74 450.98
67.56 446.3
69.46 436.48
74.58 460.84
53.23 442.56
88.72 467.3
96.16 479.13
68.26 441.15
86.39 445.52
85.34 475.4
72.64 469.3
97.82 463.57
77.22 445.32
80.59 461.03
46.91 466.74
57.76 444.04
53.09 434.01
84.31 465.23
71.58 440.6
92.97 466.74
74.55 433.48
78.96 473.59
64.44 474.81
68.23 454.75
70.81 452.94
61.66 435.83
77.76 482.19
69.49 466.66
96.26 462.59
55.74 447.82
95.61 462.73
84.75 447.98
75.3 462.72
67.5 442.42
80.92 444.69
79.23 466.7
81.1 453.84
32.8 436.92
84.31 486.37
46.15 440.43
53.96 446.82
59.83 484.91
75.3 437.76
42.53 438.91
70.58 464.19
91.69 442.19
63.55 446.86
61.51 457.15
69.55 482.57
98.08 476.03
79.34 428.89
81.28 472.7
78.99 445.6
80.38 464.78
51.16 440.42
72.17 428.41
75.39 438.5
68.91 438.28
96.38 476.29
70.54 448.46
45.8 438.99
57.95 471.8
81.89 471.81
69.32 449.82
59.14 442.14
81.54 441.46
85.81 477.62
65.41 446.76
81.15 472.52
95.87 471.58
90.24 440.85
75.13 431.37
88.22 437.33
81.48 469.22
89.84 471.11
43.57 439.17
63.16 445.33
57.14 473.71
77.76 452.66
90.56 440.99
60.98 467.42
70.31 444.14
74.05 457.17
75.42 467.87
82.25 442.04
67.95 471.36
100.09 460.7
47.28 431.33
72.41 432.6
77.67 447.61
63.7 443.87
79.77 446.87
93.84 465.74
84.95 447.86
70.16 447.65
84.24 437.87
73.32 483.51
86.17 479.65
65.43 455.16
94.59 431.91
86.8 470.68
58.18 429.28
89.66 450.81
87.39 437.73
36.35 460.21
79.62 442.86
50.52 482.99
51.96 440.0
74.73 478.48
78.33 455.28
85.19 436.94
83.13 461.06
53.49 438.28
88.86 472.61
60.89 426.85
61.14 470.18
68.29 455.38
57.62 428.32
83.63 480.35
78.1 455.56
66.34 447.66
79.02 443.06
68.96 452.43
71.13 477.81
87.01 431.66
74.3 431.8
77.62 446.67
59.56 445.26
41.66 425.72
73.27 430.58
77.16 439.86
67.02 441.11
52.8 434.72
39.04 434.01
65.47 475.64
74.32 460.44
69.22 436.4
93.88 461.03
69.83 479.08
84.11 435.76
78.65 460.14
69.31 442.2
70.3 447.69
68.23 431.15
71.76 445.0
85.88 431.59
71.09 467.22
52.67 445.33
89.68 470.57
73.66 473.77
58.94 447.67
87.05 474.29
67.0 437.14
43.18 432.56
80.62 459.14
59.72 446.19
72.1 428.1
69.15 468.46
55.66 435.02
61.19 445.52
74.62 462.69
73.35 455.75
68.85 463.74
39.89 439.79
53.16 443.26
52.97 432.04
79.87 465.86
84.09 465.6
100.15 469.43
79.77 440.75
88.99 481.32
76.14 479.87
69.13 458.59
93.03 438.62
77.92 445.59
74.89 481.87
88.7 475.01
62.94 436.54
89.62 456.63
81.04 451.69
94.53 463.04
64.02 446.1
70.57 438.67
70.32 466.88
84.86 444.6
81.41 440.26
89.45 483.92
82.71 475.19
93.93 479.24
70.6 434.92
87.68 454.16
87.58 447.58
74.4 467.9
67.35 426.29
63.61 447.02
76.89 455.85
78.08 476.46
69.17 437.48
53.31 452.77
93.32 491.54
42.47 438.41
82.58 476.1
94.59 464.58
86.31 467.74
72.57 442.12
80.76 453.34
71.93 425.29
47.54 449.63
95.72 462.88
77.03 464.67
80.49 489.96
77.67 482.38
78.72 437.95
58.77 429.2
74.8 453.34
51.34 442.47
90.41 462.6
91.1 478.79
62.57 456.11
84.27 450.33
42.93 434.83
40.96 433.43
76.53 456.02
69.74 485.23
74.99 473.57
70.45 469.94
91.49 452.07
88.97 475.32
89.13 480.69
46.52 444.01
60.55 465.17
88.71 480.61
89.15 476.04
83.02 441.76
75.19 428.24
87.35 444.77
85.66 463.1
91.66 470.5
63.47 431.0
72.25 430.68
70.58 436.42
60.1 452.33
89.29 440.16
67.43 435.75
67.58 449.74
70.8 430.73
63.62 432.75
66.68 446.79
90.76 486.35
75.34 453.18
59.77 458.31
80.79 480.26
74.1 448.65
41.34 458.41
58.78 435.39
97.78 450.21
74.85 459.59
69.84 445.84
75.36 441.08
85.8 467.33
90.11 444.19
61.63 432.96
44.76 438.09
89.7 467.9
72.51 475.72
74.98 477.51
79.59 435.13
78.42 477.9
61.23 457.26
47.56 467.53
93.06 465.15
89.65 474.28
50.5 444.49
44.84 452.84
85.32 435.38
82.94 433.57
67.26 435.27
79.05 468.49
62.03 433.07
94.36 430.63
60.02 440.74
95.46 474.49
84.92 449.74
62.8 436.73
90.81 434.58
80.9 473.93
55.84 435.99
75.3 466.83
37.34 427.22
79.5 444.07
87.29 469.57
81.5 459.89
76.42 479.59
75.75 440.92
84.95 480.87
62.37 441.9
49.25 430.2
74.16 465.16
90.55 471.32
94.28 485.43
63.31 495.35
78.9 449.12
90.97 480.53
87.34 457.07
80.8 443.67
90.95 477.52
69.97 472.95
89.45 472.54
76.08 469.17
83.35 435.21
92.16 477.78
58.42 475.89
85.06 483.9
88.91 476.2
83.33 462.16
88.49 471.05
96.88 484.71
73.86 446.34
65.17 469.02
69.41 432.12
81.23 467.28
54.07 429.66
89.17 469.49
78.85 485.87
84.44 481.95
83.02 479.03
90.66 434.5
75.29 464.9
82.6 452.71
45.4 429.74
66.33 457.09
45.33 446.77
67.12 460.76
84.14 471.95
80.81 453.29
49.13 441.61
87.29 464.73
52.95 464.68
68.92 430.59
85.21 438.01
88.56 479.08
55.09 436.39
48.64 447.07
87.85 479.91
87.42 489.05
62.75 463.17
94.86 471.26
63.54 480.49
69.46 473.78
74.66 455.5
80.57 446.27
84.7 482.2
72.6 452.48
52.63 464.48
82.01 438.1
75.22 445.6
51.05 442.43
80.1 436.67
81.58 466.56
65.94 457.29
86.74 487.03
62.57 464.93
57.37 466.0
88.91 469.52
72.26 428.88
74.98 474.3
71.19 461.06
62.82 465.57
55.31 467.67
71.57 466.99
59.16 463.72
40.8 443.78
67.63 445.23
97.2 464.43
91.16 484.36
64.81 442.16
85.61 464.11
93.42 462.48
77.36 477.49
67.03 437.04
89.45 457.09
54.84 450.6
53.48 465.78
54.47 427.1
43.36 459.81
48.92 447.36
81.22 488.92
60.35 433.36
75.98 483.35
74.24 469.53
85.21 476.96
68.46 440.75
78.31 462.55
89.25 448.04
68.57 455.24
67.38 494.75
53.6 444.58
91.69 484.82
78.21 442.9
94.19 485.46
37.19 457.81
83.53 481.92
79.45 443.23
99.9 474.29
50.39 430.46
74.33 455.71
83.66 438.34
89.48 485.83
64.59 452.82
75.68 435.04
64.18 451.21
70.09 465.81
70.58 458.42
99.28 470.22
81.89 449.24
87.99 471.43
88.21 473.26
91.29 452.82
52.72 432.69
67.5 444.13
92.05 467.21
63.23 445.98
90.88 436.91
74.91 455.01
85.39 437.11
96.98 477.06
56.28 441.71
65.62 495.76
55.32 445.63
88.88 464.72
39.49 438.03
54.59 434.78
57.19 444.67
45.06 452.24
40.62 450.92
90.21 436.53
90.91 435.53
74.96 440.01
54.21 443.1
63.62 427.49
50.04 436.25
51.23 440.74
82.71 443.54
92.04 459.42
90.67 439.66
91.14 464.15
70.43 459.1
66.63 455.68
86.95 469.08
96.69 478.02
70.88 456.8
47.14 441.13
63.36 463.88
60.58 430.45
54.3 449.18
65.09 447.89
48.16 431.59
81.51 447.5
68.57 475.58
73.16 453.24
80.88 446.4
85.4 476.81
75.77 474.1
75.76 450.71
70.21 433.62
55.53 465.14
80.48 445.18
72.41 474.12
83.25 483.91
82.12 486.68
94.75 464.98
95.79 481.4
86.02 479.2
78.29 463.86
82.23 472.3
52.86 446.51
60.66 437.71
62.77 458.94
65.54 437.91
95.4 490.76
51.78 439.66
63.62 463.27
83.09 473.99
61.81 433.38
68.24 459.01
72.41 471.44
79.64 471.91
66.95 465.15
91.98 446.66
64.96 438.15
88.93 447.14
85.62 472.32
84.0 441.68
89.41 440.04
67.4 444.82
76.75 457.26
89.06 428.83
64.02 449.07
64.12 435.21
81.22 471.03
100.13 465.56
58.07 442.83
63.42 460.3
83.32 474.25
74.28 477.97
71.91 472.16
85.8 456.08
55.58 452.41
69.7 463.71
63.79 433.72
86.59 456.4
48.28 448.43
80.42 481.6
98.58 457.07
72.83 451.0
56.07 440.28
67.13 437.47
84.49 443.57
68.37 426.6
86.07 470.87
83.82 478.37
74.86 453.92
53.52 470.22
80.61 434.54
43.56 442.89
89.35 479.03
97.28 476.06
80.49 473.88
88.9 451.75
49.7 439.2
68.64 439.7
98.58 463.6
82.12 447.47
78.32 447.92
86.04 471.08
91.36 437.55
81.02 448.27
76.05 431.69
71.81 449.09
82.13 448.79
74.27 460.21
71.32 479.28
74.59 483.11
84.44 450.75
43.39 437.97
87.2 459.76
77.11 457.75
82.81 469.33
85.67 433.28
95.58 444.64
74.46 463.1
90.02 460.91
81.93 479.35
86.29 449.23
85.43 474.51
71.66 435.02
71.33 435.45
67.72 452.38
84.23 480.41
74.44 478.96
71.48 468.87
56.3 434.01
68.13 466.36
68.35 435.28
85.23 486.46
79.78 468.19
98.98 468.37
72.87 474.19
90.93 440.32
72.94 485.32
72.3 464.27
77.74 479.25
78.29 430.4
69.1 447.49
55.79 438.23
75.09 492.09
88.98 475.36
64.26 452.56
25.89 427.84
59.18 433.95
67.48 435.27
89.85 454.62
50.62 472.17
83.97 452.42
96.51 472.17
80.09 481.83
84.02 458.78
61.97 447.5
88.51 463.4
81.83 473.57
90.63 433.72
73.37 431.85
77.5 433.47
57.46 432.84
51.91 436.6
79.14 490.23
69.24 477.16
41.85 441.06
95.1 440.86
74.53 477.94
64.85 474.47
57.07 470.67
62.9 447.31
72.21 466.8
65.99 430.91
73.67 434.75
88.59 469.52
61.19 438.9
49.37 429.56
48.65 432.92
56.18 442.87
71.56 466.59
87.46 479.61
70.02 471.08
61.2 433.37
60.54 443.92
71.82 443.5
44.8 439.89
67.32 434.66
78.77 487.57
96.02 464.64
90.56 470.92
83.19 444.39
68.45 442.48
99.19 449.61
88.11 435.02
79.29 458.67
87.76 461.74
82.56 438.31
79.24 462.38
67.24 460.56
58.98 439.22
84.22 444.64
89.12 430.34
50.07 430.46
98.86 456.79
95.79 468.82
70.06 448.51
41.71 470.77
86.55 465.74
71.97 430.21
96.4 449.23
91.73 461.89
91.62 445.72
59.14 466.13
92.56 448.71
83.71 469.25
55.43 450.56
74.91 464.46
89.41 471.13
69.81 461.52
86.01 451.09
86.05 431.51
80.98 469.8
63.62 442.28
64.16 458.67
75.63 462.4
80.21 453.54
59.7 444.38
47.6 440.52
63.78 433.62
89.37 481.96
70.55 452.75
84.42 481.28
80.62 439.03
52.56 435.75
83.26 436.03
70.64 445.6
89.95 462.65
51.53 438.66
84.83 447.32
59.68 484.55
97.88 476.8
85.03 480.34
47.38 440.63
48.08 459.48
79.65 490.78
83.39 483.56
82.18 429.38
51.71 440.27
77.33 445.34
72.81 447.43
84.26 439.91
73.23 459.27
79.73 478.89
62.32 466.7
78.58 463.5
79.88 436.21
65.87 443.94
80.28 439.63
71.33 460.95
70.33 448.69
57.73 444.63
99.46 473.51
68.61 462.56
95.91 451.76
80.42 491.81
51.01 429.52
74.08 437.9
80.73 467.54
54.71 449.97
73.75 436.62
88.43 477.68
74.66 447.26
70.04 439.76
74.64 437.49
85.11 455.14
82.97 485.5
55.59 444.1
49.9 432.33
89.99 471.23
91.61 463.89
82.95 445.54
92.62 446.09
59.64 445.12
63.0 443.31
85.38 484.16
85.23 477.76
52.08 430.28
38.05 446.48
71.98 481.03
90.66 466.07
83.14 447.47
65.22 455.93
91.67 479.62
66.04 455.06
78.19 475.06
54.47 438.89
67.26 432.7
72.56 452.6
82.15 451.75
86.32 430.66
88.17 491.9
72.78 439.82
69.58 460.73
69.86 449.7
65.37 439.42
52.37 439.84
79.63 485.86
83.14 458.1
88.25 479.92
55.85 458.29
52.55 489.45
62.74 434.0
90.08 431.24
54.5 439.5
49.88 467.46
48.96 429.27
86.77 452.1
96.66 472.41
70.84 442.14
83.83 441.0
68.22 463.07
82.22 445.71
87.9 483.16
66.83 440.45
85.36 481.83
60.9 467.6
83.51 450.88
52.96 425.5
73.02 451.87
43.11 428.94
61.41 439.86
65.32 433.44
93.68 438.23
42.39 436.95
68.18 470.19
89.18 484.66
64.79 430.81
43.48 433.37
80.4 453.02
72.43 453.5
80.0 463.09
45.65 464.56
63.02 452.12
74.39 470.9
57.77 450.89
76.8 445.04
67.39 444.72
73.96 460.38
72.75 446.8
71.69 465.05
84.98 484.13
87.68 488.27
50.36 447.09
68.11 452.02
66.27 455.55
89.72 480.99
61.07 467.68
RH PE
73.17 463.26
59.08 444.37
92.14 488.56
76.64 446.48
96.62 473.9
58.77 443.67
75.24 467.35
66.43 478.42
41.25 475.98
70.72 477.5
75.04 453.02
64.22 453.99
84.15 440.29
61.83 451.28
87.59 433.99
43.08 462.19
48.84 467.54
77.51 477.2
63.59 459.85
55.28 464.3
66.26 468.27
64.77 495.24
83.31 483.8
47.19 443.61
54.93 436.06
74.62 443.25
72.52 464.16
88.44 475.52
92.28 484.41
41.85 437.89
44.28 445.11
64.58 438.86
63.25 440.98
78.61 436.65
44.51 444.26
89.46 465.86
74.52 444.37
88.86 450.69
75.51 469.02
78.64 448.86
76.65 447.14
80.44 469.18
79.89 482.8
88.28 476.7
84.6 474.99
42.69 444.22
78.41 461.33
61.07 448.06
50.0 474.6
77.29 473.05
43.66 432.06
83.8 467.41
66.47 430.12
93.09 473.62
80.52 471.81
68.99 442.99
57.27 442.77
95.53 491.49
71.72 447.46
57.88 446.11
63.34 442.44
48.07 446.22
91.87 471.49
87.27 463.5
64.4 440.01
43.4 441.03
72.24 452.68
90.22 474.91
74.0 478.77
71.85 434.2
86.62 437.91
97.41 477.61
84.44 431.65
81.55 430.57
75.66 481.09
79.41 445.56
58.91 475.74
90.06 435.12
79.0 446.15
69.47 436.64
51.47 436.69
83.13 468.75
40.33 466.6
81.69 465.48
94.55 441.34
91.81 441.83
63.62 464.7
49.35 437.99
69.61 459.12
38.75 429.69
90.17 459.8
81.24 433.63
48.46 442.84
76.72 485.13
51.16 459.12
76.34 445.31
67.3 480.8
52.38 432.55
76.44 443.86
91.55 449.77
71.9 470.71
80.05 452.17
63.77 478.29
62.26 428.54
89.04 478.27
58.02 439.58
81.82 457.32
91.14 475.51
88.92 439.66
84.83 471.99
91.76 479.81
86.56 434.78
57.21 446.58
54.25 437.76
63.8 459.36
33.71 462.28
67.25 464.33
60.11 444.36
74.55 438.64
67.34 470.49
42.75 455.13
55.2 450.22
83.61 440.43
88.78 482.98
100.12 460.44
64.52 444.97
51.41 433.94
85.78 439.73
75.41 434.48
81.63 442.33
51.92 457.67
70.12 454.66
53.83 432.21
77.23 457.66
65.67 435.21
71.18 448.22
81.96 475.51
79.54 446.53
47.09 441.3
57.69 433.54
78.89 472.52
85.29 474.77
40.13 435.1
77.06 450.74
67.38 442.7
62.44 426.56
77.43 463.71
58.77 447.06
67.72 452.27
42.14 445.78
84.16 438.65
89.79 480.15
67.21 447.19
72.14 443.04
97.49 488.81
87.74 455.75
96.3 455.86
61.25 457.68
88.38 479.11
74.77 432.84
68.18 448.37
77.2 447.06
49.54 443.53
92.22 445.21
33.65 441.7
64.59 450.93
100.09 451.44
68.04 441.29
48.94 458.85
74.47 481.46
81.02 467.19
71.17 461.54
53.85 439.08
70.67 467.22
59.36 468.8
57.17 426.93
70.29 474.65
83.37 468.97
87.36 433.97
100.09 450.53
68.78 444.51
70.98 469.03
75.68 466.56
47.49 457.57
71.99 440.13
66.55 433.24
74.73 452.55
64.78 443.29
75.13 431.76
56.38 454.97
94.35 456.7
86.55 486.03
82.95 472.79
88.42 452.03
85.61 443.41
58.39 441.93
74.28 432.64
87.85 480.25
83.5 466.68
65.24 494.39
75.01 454.72
84.52 448.71
80.52 469.76
75.14 450.71
75.75 444.01
76.72 453.2
85.47 450.87
57.95 441.73
78.32 465.09
52.2 447.28
93.69 491.16
75.74 450.98
67.56 446.3
69.46 436.48
74.58 460.84
53.23 442.56
88.72 467.3
96.16 479.13
68.26 441.15
86.39 445.52
85.34 475.4
72.64 469.3
97.82 463.57
77.22 445.32
80.59 461.03
46.91 466.74
57.76 444.04
53.09 434.01
84.31 465.23
71.58 440.6
92.97 466.74
74.55 433.48
78.96 473.59
64.44 474.81
68.23 454.75
70.81 452.94
61.66 435.83
77.76 482.19
69.49 466.66
96.26 462.59
55.74 447.82
95.61 462.73
84.75 447.98
75.3 462.72
67.5 442.42
80.92 444.69
79.23 466.7
81.1 453.84
32.8 436.92
84.31 486.37
46.15 440.43
53.96 446.82
59.83 484.91
75.3 437.76
42.53 438.91
70.58 464.19
91.69 442.19
63.55 446.86
61.51 457.15
69.55 482.57
98.08 476.03
79.34 428.89
81.28 472.7
78.99 445.6
80.38 464.78
51.16 440.42
72.17 428.41
75.39 438.5
68.91 438.28
96.38 476.29
70.54 448.46
45.8 438.99
57.95 471.8
81.89 471.81
69.32 449.82
59.14 442.14
81.54 441.46
85.81 477.62
65.41 446.76
81.15 472.52
95.87 471.58
90.24 440.85
75.13 431.37
88.22 437.33
81.48 469.22
89.84 471.11
43.57 439.17
63.16 445.33
57.14 473.71
77.76 452.66
90.56 440.99
60.98 467.42
70.31 444.14
74.05 457.17
75.42 467.87
82.25 442.04
67.95 471.36
100.09 460.7
47.28 431.33
72.41 432.6
77.67 447.61
63.7 443.87
79.77 446.87
93.84 465.74
84.95 447.86
70.16 447.65
84.24 437.87
73.32 483.51
86.17 479.65
65.43 455.16
94.59 431.91
86.8 470.68
58.18 429.28
89.66 450.81
87.39 437.73
36.35 460.21
79.62 442.86
50.52 482.99
51.96 440.0
74.73 478.48
78.33 455.28
85.19 436.94
83.13 461.06
53.49 438.28
88.86 472.61
60.89 426.85
61.14 470.18
68.29 455.38
57.62 428.32
83.63 480.35
78.1 455.56
66.34 447.66
79.02 443.06
68.96 452.43
71.13 477.81
87.01 431.66
74.3 431.8
77.62 446.67
59.56 445.26
41.66 425.72
73.27 430.58
77.16 439.86
67.02 441.11
52.8 434.72
39.04 434.01
65.47 475.64
74.32 460.44
69.22 436.4
93.88 461.03
69.83 479.08
84.11 435.76
78.65 460.14
69.31 442.2
70.3 447.69
68.23 431.15
71.76 445.0
85.88 431.59
71.09 467.22
52.67 445.33
89.68 470.57
73.66 473.77
58.94 447.67
87.05 474.29
67.0 437.14
43.18 432.56
80.62 459.14
59.72 446.19
72.1 428.1
69.15 468.46
55.66 435.02
61.19 445.52
74.62 462.69
73.35 455.75
68.85 463.74
39.89 439.79
53.16 443.26
52.97 432.04
79.87 465.86
84.09 465.6
100.15 469.43
79.77 440.75
88.99 481.32
76.14 479.87
69.13 458.59
93.03 438.62
77.92 445.59
74.89 481.87
88.7 475.01
62.94 436.54
89.62 456.63
81.04 451.69
94.53 463.04
64.02 446.1
70.57 438.67
70.32 466.88
84.86 444.6
81.41 440.26
89.45 483.92
82.71 475.19
93.93 479.24
70.6 434.92
87.68 454.16
87.58 447.58
74.4 467.9
67.35 426.29
63.61 447.02
76.89 455.85
78.08 476.46
69.17 437.48
53.31 452.77
93.32 491.54
42.47 438.41
82.58 476.1
94.59 464.58
86.31 467.74
72.57 442.12
80.76 453.34
71.93 425.29
47.54 449.63
95.72 462.88
77.03 464.67
80.49 489.96
77.67 482.38
78.72 437.95
58.77 429.2
74.8 453.34
51.34 442.47
90.41 462.6
91.1 478.79
62.57 456.11
84.27 450.33
42.93 434.83
40.96 433.43
76.53 456.02
69.74 485.23
74.99 473.57
70.45 469.94
91.49 452.07
88.97 475.32
89.13 480.69
46.52 444.01
60.55 465.17
88.71 480.61
89.15 476.04
83.02 441.76
75.19 428.24
87.35 444.77
85.66 463.1
91.66 470.5
63.47 431.0
72.25 430.68
70.58 436.42
60.1 452.33
89.29 440.16
67.43 435.75
67.58 449.74
70.8 430.73
63.62 432.75
66.68 446.79
90.76 486.35
75.34 453.18
59.77 458.31
80.79 480.26
74.1 448.65
41.34 458.41
58.78 435.39
97.78 450.21
74.85 459.59
69.84 445.84
75.36 441.08
85.8 467.33
90.11 444.19
61.63 432.96
44.76 438.09
89.7 467.9
72.51 475.72
74.98 477.51
79.59 435.13
78.42 477.9
61.23 457.26
47.56 467.53
93.06 465.15
89.65 474.28
50.5 444.49
44.84 452.84
85.32 435.38
82.94 433.57
67.26 435.27
79.05 468.49
62.03 433.07
94.36 430.63
60.02 440.74
95.46 474.49
84.92 449.74
62.8 436.73
90.81 434.58
80.9 473.93
55.84 435.99
75.3 466.83
37.34 427.22
79.5 444.07
87.29 469.57
81.5 459.89
76.42 479.59
75.75 440.92
84.95 480.87
62.37 441.9
49.25 430.2
74.16 465.16
90.55 471.32
94.28 485.43
63.31 495.35
78.9 449.12
90.97 480.53
87.34 457.07
80.8 443.67
90.95 477.52
69.97 472.95
89.45 472.54
76.08 469.17
83.35 435.21
92.16 477.78
58.42 475.89
85.06 483.9
88.91 476.2
83.33 462.16
88.49 471.05
96.88 484.71
73.86 446.34
65.17 469.02
69.41 432.12
81.23 467.28
54.07 429.66
89.17 469.49
78.85 485.87
84.44 481.95
83.02 479.03
90.66 434.5
75.29 464.9
82.6 452.71
45.4 429.74
66.33 457.09
45.33 446.77
67.12 460.76
84.14 471.95
80.81 453.29
49.13 441.61
87.29 464.73
52.95 464.68
68.92 430.59
85.21 438.01
88.56 479.08
55.09 436.39
48.64 447.07
87.85 479.91
87.42 489.05
62.75 463.17
94.86 471.26
63.54 480.49
69.46 473.78
74.66 455.5
80.57 446.27
84.7 482.2
72.6 452.48
52.63 464.48
82.01 438.1
75.22 445.6
51.05 442.43
80.1 436.67
81.58 466.56
65.94 457.29
86.74 487.03
62.57 464.93
57.37 466.0
88.91 469.52
72.26 428.88
74.98 474.3
71.19 461.06
62.82 465.57
55.31 467.67
71.57 466.99
59.16 463.72
40.8 443.78
67.63 445.23
97.2 464.43
91.16 484.36
64.81 442.16
85.61 464.11
93.42 462.48
77.36 477.49
67.03 437.04
89.45 457.09
54.84 450.6
53.48 465.78
54.47 427.1
43.36 459.81
48.92 447.36
81.22 488.92
60.35 433.36
75.98 483.35
74.24 469.53
85.21 476.96
68.46 440.75
78.31 462.55
89.25 448.04
68.57 455.24
67.38 494.75
53.6 444.58
91.69 484.82
78.21 442.9
94.19 485.46
37.19 457.81
83.53 481.92
79.45 443.23
99.9 474.29
50.39 430.46
74.33 455.71
83.66 438.34
89.48 485.83
64.59 452.82
75.68 435.04
64.18 451.21
70.09 465.81
70.58 458.42
99.28 470.22
81.89 449.24
87.99 471.43
88.21 473.26
91.29 452.82
52.72 432.69
67.5 444.13
92.05 467.21
63.23 445.98
90.88 436.91
74.91 455.01
85.39 437.11
96.98 477.06
56.28 441.71
65.62 495.76
55.32 445.63
88.88 464.72
39.49 438.03
54.59 434.78
57.19 444.67
45.06 452.24
40.62 450.92
90.21 436.53
90.91 435.53
74.96 440.01
54.21 443.1
63.62 427.49
50.04 436.25
51.23 440.74
82.71 443.54
92.04 459.42
90.67 439.66
91.14 464.15
70.43 459.1
66.63 455.68
86.95 469.08
96.69 478.02
70.88 456.8
47.14 441.13
63.36 463.88
60.58 430.45
54.3 449.18
65.09 447.89
48.16 431.59
81.51 447.5
68.57 475.58
73.16 453.24
80.88 446.4
85.4 476.81
75.77 474.1
75.76 450.71
70.21 433.62
55.53 465.14
80.48 445.18
72.41 474.12
83.25 483.91
82.12 486.68
94.75 464.98
95.79 481.4
86.02 479.2
78.29 463.86
82.23 472.3
52.86 446.51
60.66 437.71
62.77 458.94
65.54 437.91
95.4 490.76
51.78 439.66
63.62 463.27
83.09 473.99
61.81 433.38
68.24 459.01
72.41 471.44
79.64 471.91
66.95 465.15
91.98 446.66
64.96 438.15
88.93 447.14
85.62 472.32
84.0 441.68
89.41 440.04
67.4 444.82
76.75 457.26
89.06 428.83
64.02 449.07
64.12 435.21
81.22 471.03
100.13 465.56
58.07 442.83
63.42 460.3
83.32 474.25
74.28 477.97
71.91 472.16
85.8 456.08
55.58 452.41
69.7 463.71
63.79 433.72
86.59 456.4
48.28 448.43
80.42 481.6
98.58 457.07
72.83 451.0
56.07 440.28
67.13 437.47
84.49 443.57
68.37 426.6
86.07 470.87
83.82 478.37
74.86 453.92
53.52 470.22
80.61 434.54
43.56 442.89
89.35 479.03
97.28 476.06
80.49 473.88
88.9 451.75
49.7 439.2
68.64 439.7
98.58 463.6
82.12 447.47
78.32 447.92
86.04 471.08
91.36 437.55
81.02 448.27
76.05 431.69
71.81 449.09
82.13 448.79
74.27 460.21
71.32 479.28
74.59 483.11
84.44 450.75
43.39 437.97
87.2 459.76
77.11 457.75
82.81 469.33
85.67 433.28
95.58 444.64
74.46 463.1
90.02 460.91
81.93 479.35
86.29 449.23
85.43 474.51
71.66 435.02
71.33 435.45
67.72 452.38
84.23 480.41
74.44 478.96
71.48 468.87
56.3 434.01
68.13 466.36
68.35 435.28
85.23 486.46
79.78 468.19
98.98 468.37
72.87 474.19
90.93 440.32
72.94 485.32
72.3 464.27
77.74 479.25
78.29 430.4
69.1 447.49
55.79 438.23
75.09 492.09
88.98 475.36
64.26 452.56
25.89 427.84
59.18 433.95
67.48 435.27
89.85 454.62
50.62 472.17
83.97 452.42
96.51 472.17
80.09 481.83
84.02 458.78
61.97 447.5
88.51 463.4
81.83 473.57
90.63 433.72
73.37 431.85
77.5 433.47
57.46 432.84
51.91 436.6
79.14 490.23
69.24 477.16
41.85 441.06
95.1 440.86
74.53 477.94
64.85 474.47
57.07 470.67
62.9 447.31
72.21 466.8
65.99 430.91
73.67 434.75
88.59 469.52
61.19 438.9
49.37 429.56
48.65 432.92
56.18 442.87
71.56 466.59
87.46 479.61
70.02 471.08
61.2 433.37
60.54 443.92
71.82 443.5
44.8 439.89
67.32 434.66
78.77 487.57
96.02 464.64
90.56 470.92
83.19 444.39
68.45 442.48
99.19 449.61
88.11 435.02
79.29 458.67
87.76 461.74
82.56 438.31
79.24 462.38
67.24 460.56
58.98 439.22
84.22 444.64
89.12 430.34
50.07 430.46
98.86 456.79
95.79 468.82
70.06 448.51
41.71 470.77
86.55 465.74
71.97 430.21
96.4 449.23
91.73 461.89
91.62 445.72
59.14 466.13
92.56 448.71
83.71 469.25
55.43 450.56
74.91 464.46
89.41 471.13
69.81 461.52
86.01 451.09
86.05 431.51
80.98 469.8
63.62 442.28
64.16 458.67
75.63 462.4
80.21 453.54
59.7 444.38
47.6 440.52
63.78 433.62
89.37 481.96
70.55 452.75
84.42 481.28
80.62 439.03
52.56 435.75
83.26 436.03
70.64 445.6
89.95 462.65
51.53 438.66
84.83 447.32
59.68 484.55
97.88 476.8
85.03 480.34
47.38 440.63
48.08 459.48
79.65 490.78
83.39 483.56
82.18 429.38
51.71 440.27
77.33 445.34
72.81 447.43
84.26 439.91
73.23 459.27
79.73 478.89
62.32 466.7
78.58 463.5
79.88 436.21
65.87 443.94
80.28 439.63
71.33 460.95
70.33 448.69
57.73 444.63
99.46 473.51
68.61 462.56
95.91 451.76
80.42 491.81
51.01 429.52
74.08 437.9
80.73 467.54
54.71 449.97
73.75 436.62
88.43 477.68
74.66 447.26
70.04 439.76
74.64 437.49
85.11 455.14
82.97 485.5
55.59 444.1
49.9 432.33
89.99 471.23
91.61 463.89
82.95 445.54
92.62 446.09
59.64 445.12
63.0 443.31
85.38 484.16
85.23 477.76
52.08 430.28
38.05 446.48
71.98 481.03
90.66 466.07
83.14 447.47
65.22 455.93
91.67 479.62
66.04 455.06
78.19 475.06
54.47 438.89
67.26 432.7
72.56 452.6
82.15 451.75
86.32 430.66
88.17 491.9
72.78 439.82
69.58 460.73
69.86 449.7
65.37 439.42
52.37 439.84
79.63 485.86
83.14 458.1
88.25 479.92
55.85 458.29
52.55 489.45
62.74 434.0
90.08 431.24
54.5 439.5
49.88 467.46
48.96 429.27
86.77 452.1
96.66 472.41
70.84 442.14
83.83 441.0
68.22 463.07
82.22 445.71
87.9 483.16
66.83 440.45
85.36 481.83
60.9 467.6
83.51 450.88
52.96 425.5
73.02 451.87
43.11 428.94
61.41 439.86
65.32 433.44
93.68 438.23
42.39 436.95
68.18 470.19
89.18 484.66
64.79 430.81
43.48 433.37
80.4 453.02
72.43 453.5
80.0 463.09
45.65 464.56
63.02 452.12
74.39 470.9
57.77 450.89
76.8 445.04
67.39 444.72
73.96 460.38
72.75 446.8
71.69 465.05
84.98 484.13
87.68 488.27
50.36 447.09
68.11 452.02
66.27 455.55
89.72 480.99
61.07 467.68
AT V AP RH PE
14.96 41.76 1024.07 73.17 463.26
25.18 62.96 1020.04 59.08 444.37
5.11 39.4 1012.16 92.14 488.56
20.86 57.32 1010.24 76.64 446.48
10.82 37.5 1009.23 96.62 473.9
26.27 59.44 1012.23 58.77 443.67
15.89 43.96 1014.02 75.24 467.35
9.48 44.71 1019.12 66.43 478.42
14.64 45.0 1021.78 41.25 475.98
11.74 43.56 1015.14 70.72 477.5
17.99 43.72 1008.64 75.04 453.02
20.14 46.93 1014.66 64.22 453.99
24.34 73.5 1011.31 84.15 440.29
25.71 58.59 1012.77 61.83 451.28
26.19 69.34 1009.48 87.59 433.99
21.42 43.79 1015.76 43.08 462.19
18.21 45.0 1022.86 48.84 467.54
11.04 41.74 1022.6 77.51 477.2
14.45 52.75 1023.97 63.59 459.85
13.97 38.47 1015.15 55.28 464.3
17.76 42.42 1009.09 66.26 468.27
5.41 40.07 1019.16 64.77 495.24
7.76 42.28 1008.52 83.31 483.8
27.23 63.9 1014.3 47.19 443.61
27.36 48.6 1003.18 54.93 436.06
27.47 70.72 1009.97 74.62 443.25
14.6 39.31 1011.11 72.52 464.16
7.91 39.96 1023.57 88.44 475.52
5.81 35.79 1012.14 92.28 484.41
30.53 65.18 1012.69 41.85 437.89
23.87 63.94 1019.02 44.28 445.11
26.09 58.41 1013.64 64.58 438.86
29.27 66.85 1011.11 63.25 440.98
27.38 74.16 1010.08 78.61 436.65
24.81 63.94 1018.76 44.51 444.26
12.75 44.03 1007.29 89.46 465.86
24.66 63.73 1011.4 74.52 444.37
16.38 47.45 1010.08 88.86 450.69
13.91 39.35 1014.69 75.51 469.02
23.18 51.3 1012.04 78.64 448.86
22.47 47.45 1007.62 76.65 447.14
13.39 44.85 1017.24 80.44 469.18
9.28 41.54 1018.33 79.89 482.8
11.82 42.86 1014.12 88.28 476.7
10.27 40.64 1020.63 84.6 474.99
22.92 63.94 1019.28 42.69 444.22
16.0 37.87 1020.24 78.41 461.33
21.22 43.43 1010.96 61.07 448.06
13.46 44.71 1014.51 50.0 474.6
9.39 40.11 1029.14 77.29 473.05
31.07 73.5 1010.58 43.66 432.06
12.82 38.62 1018.71 83.8 467.41
32.57 78.92 1011.6 66.47 430.12
8.11 42.18 1014.82 93.09 473.62
13.92 39.39 1012.94 80.52 471.81
23.04 59.43 1010.23 68.99 442.99
27.31 64.44 1014.65 57.27 442.77
5.91 39.33 1010.18 95.53 491.49
25.26 61.08 1013.68 71.72 447.46
27.97 58.84 1002.25 57.88 446.11
26.08 52.3 1007.03 63.34 442.44
29.01 65.71 1013.61 48.07 446.22
12.18 40.1 1016.67 91.87 471.49
13.76 45.87 1008.89 87.27 463.5
25.5 58.79 1016.02 64.4 440.01
28.26 65.34 1014.56 43.4 441.03
21.39 62.96 1019.49 72.24 452.68
7.26 40.69 1020.43 90.22 474.91
10.54 34.03 1018.71 74.0 478.77
27.71 74.34 998.14 71.85 434.2
23.11 68.3 1017.83 86.62 437.91
7.51 41.01 1024.61 97.41 477.61
26.46 74.67 1016.65 84.44 431.65
29.34 74.34 998.58 81.55 430.57
10.32 42.28 1008.82 75.66 481.09
22.74 61.02 1009.56 79.41 445.56
13.48 39.85 1012.71 58.91 475.74
25.52 69.75 1010.36 90.06 435.12
21.58 67.25 1017.39 79.0 446.15
27.66 76.86 1001.31 69.47 436.64
26.96 69.45 1013.89 51.47 436.69
12.29 42.18 1016.53 83.13 468.75
15.86 43.02 1012.18 40.33 466.6
13.87 45.08 1024.42 81.69 465.48
24.09 73.68 1014.93 94.55 441.34
20.45 69.45 1012.53 91.81 441.83
15.07 39.3 1019.0 63.62 464.7
32.72 69.75 1009.6 49.35 437.99
18.23 58.96 1015.55 69.61 459.12
35.56 68.94 1006.56 38.75 429.69
18.36 51.43 1010.57 90.17 459.8
26.35 64.05 1009.81 81.24 433.63
25.92 60.95 1014.62 48.46 442.84
8.01 41.66 1014.49 76.72 485.13
19.63 52.72 1025.09 51.16 459.12
20.02 67.32 1012.05 76.34 445.31
10.08 40.72 1022.7 67.3 480.8
27.23 66.48 1005.23 52.38 432.55
23.37 63.77 1013.42 76.44 443.86
18.74 59.21 1018.3 91.55 449.77
14.81 43.69 1017.19 71.9 470.71
23.1 51.3 1011.93 80.05 452.17
10.72 41.38 1021.6 63.77 478.29
29.46 71.94 1006.96 62.26 428.54
8.1 40.64 1020.66 89.04 478.27
27.29 62.66 1007.63 58.02 439.58
17.1 49.69 1005.53 81.82 457.32
11.49 44.2 1018.79 91.14 475.51
23.69 65.59 1010.85 88.92 439.66
13.51 40.89 1011.03 84.83 471.99
9.64 39.35 1015.1 91.76 479.81
25.65 78.92 1010.83 86.56 434.78
21.59 61.87 1011.18 57.21 446.58
27.98 58.33 1013.92 54.25 437.76
18.8 39.72 1001.24 63.8 459.36
18.28 44.71 1016.99 33.71 462.28
13.55 43.48 1016.08 67.25 464.33
22.99 46.21 1010.71 60.11 444.36
23.94 59.39 1014.32 74.55 438.64
13.74 34.03 1018.69 67.34 470.49
21.3 41.1 1001.86 42.75 455.13
27.54 66.93 1017.06 55.2 450.22
24.81 63.73 1009.34 83.61 440.43
4.97 42.85 1014.02 88.78 482.98
15.22 50.88 1014.19 100.12 460.44
23.88 54.2 1012.81 64.52 444.97
33.01 68.67 1005.2 51.41 433.94
25.98 73.18 1012.28 85.78 439.73
28.18 73.88 1005.89 75.41 434.48
21.67 60.84 1017.93 81.63 442.33
17.67 45.09 1014.26 51.92 457.67
21.37 57.76 1018.8 70.12 454.66
28.69 67.25 1017.71 53.83 432.21
16.61 43.77 1012.25 77.23 457.66
27.91 63.76 1010.27 65.67 435.21
20.97 47.43 1007.64 71.18 448.22
10.8 41.66 1013.79 81.96 475.51
20.61 62.91 1013.24 79.54 446.53
25.45 57.32 1011.7 47.09 441.3
30.16 69.34 1007.67 57.69 433.54
4.99 39.04 1020.45 78.89 472.52
10.51 44.78 1012.59 85.29 474.77
33.79 69.05 1001.62 40.13 435.1
21.34 59.8 1016.92 77.06 450.74
23.4 65.06 1014.32 67.38 442.7
32.21 68.14 1003.34 62.44 426.56
14.26 42.32 1016.0 77.43 463.71
27.71 66.93 1016.85 58.77 447.06
21.95 57.76 1018.02 67.72 452.27
25.76 63.94 1018.49 42.14 445.78
23.68 68.3 1017.93 84.16 438.65
8.28 40.77 1011.55 89.79 480.15
23.44 62.52 1016.46 67.21 447.19
25.32 48.41 1008.47 72.14 443.04
3.94 39.9 1008.06 97.49 488.81
17.3 57.76 1016.26 87.74 455.75
18.2 49.39 1018.83 96.3 455.86
21.43 46.97 1013.94 61.25 457.68
11.16 40.05 1014.95 88.38 479.11
30.38 74.16 1007.44 74.77 432.84
23.36 62.52 1016.18 68.18 448.37
21.69 47.45 1007.56 77.2 447.06
23.62 49.21 1014.1 49.54 443.53
21.87 61.45 1011.13 92.22 445.21
29.25 66.51 1015.53 33.65 441.7
20.03 66.86 1013.05 64.59 450.93
18.14 49.78 1002.95 100.09 451.44
24.23 56.89 1012.32 68.04 441.29
18.11 44.85 1014.48 48.94 458.85
6.57 43.65 1018.24 74.47 481.46
12.56 43.41 1016.93 81.02 467.19
13.4 41.58 1020.5 71.17 461.54
27.1 52.84 1006.28 53.85 439.08
14.28 42.74 1028.79 70.67 467.22
16.29 44.34 1019.49 59.36 468.8
31.24 71.98 1004.66 57.17 426.93
10.57 37.73 1024.36 70.29 474.65
13.8 44.21 1022.93 83.37 468.97
25.3 71.58 1010.18 87.36 433.97
18.06 50.16 1009.52 100.09 450.53
25.42 59.04 1011.98 68.78 444.51
15.07 40.69 1015.29 70.98 469.03
11.75 71.14 1019.36 75.68 466.56
20.23 52.05 1012.15 47.49 457.57
27.31 59.54 1006.24 71.99 440.13
28.57 69.84 1003.57 66.55 433.24
17.9 43.72 1008.64 74.73 452.55
23.83 71.37 1002.04 64.78 443.29
27.92 74.99 1005.47 75.13 431.76
17.34 44.78 1007.81 56.38 454.97
17.94 63.07 1012.42 94.35 456.7
6.4 39.9 1007.75 86.55 486.03
11.78 39.96 1011.37 82.95 472.79
20.28 57.25 1010.12 88.42 452.03
21.04 54.2 1012.26 85.61 443.41
25.11 67.32 1014.49 58.39 441.93
30.28 70.98 1007.51 74.28 432.64
8.14 36.24 1013.15 87.85 480.25
16.86 39.63 1004.47 83.5 466.68
6.25 40.07 1020.19 65.24 494.39
22.35 54.42 1012.46 75.01 454.72
17.98 56.85 1012.28 84.52 448.71
21.19 42.48 1013.43 80.52 469.76
20.94 44.89 1009.64 75.14 450.71
24.23 58.79 1009.8 75.75 444.01
19.18 58.2 1017.46 76.72 453.2
20.88 57.85 1012.39 85.47 450.87
23.67 63.86 1019.67 57.95 441.73
14.12 39.52 1018.41 78.32 465.09
25.23 64.63 1020.59 52.2 447.28
6.54 39.33 1011.54 93.69 491.16
20.08 62.52 1017.99 75.74 450.98
24.67 63.56 1013.75 67.56 446.3
27.82 79.74 1008.37 69.46 436.48
15.55 42.03 1017.41 74.58 460.84
24.26 69.51 1013.43 53.23 442.56
13.45 41.49 1020.19 88.72 467.3
11.06 40.64 1021.47 96.16 479.13
24.91 52.3 1008.72 68.26 441.15
22.39 59.04 1011.78 86.39 445.52
11.95 40.69 1015.62 85.34 475.4
14.85 40.69 1014.91 72.64 469.3
10.11 41.62 1017.17 97.82 463.57
23.67 68.67 1006.71 77.22 445.32
16.14 44.21 1020.36 80.59 461.03
15.11 43.13 1014.99 46.91 466.74
24.14 59.87 1018.47 57.76 444.04
30.08 67.25 1017.6 53.09 434.01
14.77 44.9 1020.5 84.31 465.23
27.6 69.34 1009.63 71.58 440.6
13.89 44.84 1023.66 92.97 466.74
26.85 75.6 1017.43 74.55 433.48
12.41 40.96 1023.36 78.96 473.59
13.08 41.74 1020.75 64.44 474.81
18.93 44.06 1017.58 68.23 454.75
20.5 49.69 1009.6 70.81 452.94
30.72 69.13 1009.94 61.66 435.83
7.55 39.22 1014.53 77.76 482.19
13.49 44.47 1030.46 69.49 466.66
15.62 40.12 1013.03 96.26 462.59
24.8 64.63 1020.69 55.74 447.82
10.03 41.62 1014.55 95.61 462.73
22.43 63.21 1012.06 84.75 447.98
14.95 39.31 1009.15 75.3 462.72
24.78 58.46 1016.82 67.5 442.42
23.2 48.41 1008.64 80.92 444.69
14.01 39.0 1016.73 79.23 466.7
19.4 64.63 1020.38 81.1 453.84
30.15 67.32 1013.83 32.8 436.92
6.91 36.08 1021.82 84.31 486.37
29.04 60.07 1015.42 46.15 440.43
26.02 63.07 1010.94 53.96 446.82
5.89 39.48 1005.11 59.83 484.91
26.52 71.64 1008.27 75.3 437.76
28.53 68.08 1013.27 42.53 438.91
16.59 39.54 1007.97 70.58 464.19
22.95 67.79 1009.89 91.69 442.19
23.96 47.43 1008.38 63.55 446.86
17.48 44.2 1018.89 61.51 457.15
6.69 43.65 1020.14 69.55 482.57
10.25 41.26 1007.44 98.08 476.03
28.87 72.58 1008.69 79.34 428.89
12.04 40.23 1018.07 81.28 472.7
22.58 52.3 1009.04 78.99 445.6
15.12 52.05 1014.63 80.38 464.78
25.48 58.95 1017.02 51.16 440.42
27.87 70.79 1003.96 72.17 428.41
23.72 70.47 1010.65 75.39 438.5
25.0 59.43 1007.84 68.91 438.28
8.42 40.64 1022.35 96.38 476.29
22.46 58.49 1011.5 70.54 448.46
29.92 57.19 1008.62 45.8 438.99
11.68 39.22 1017.9 57.95 471.8
14.04 42.44 1012.74 81.89 471.81
19.86 59.14 1016.12 69.32 449.82
25.99 68.08 1013.13 59.14 442.14
23.42 58.79 1009.74 81.54 441.46
10.6 40.22 1011.37 85.81 477.62
20.97 61.87 1011.45 65.41 446.76
14.14 39.82 1012.46 81.15 472.52
8.56 40.71 1021.27 95.87 471.58
24.86 72.39 1001.15 90.24 440.85
29.0 77.54 1011.33 75.13 431.37
27.59 71.97 1008.64 88.22 437.33
10.45 40.71 1015.68 81.48 469.22
8.51 40.78 1023.51 89.84 471.11
29.82 66.51 1010.98 43.57 439.17
22.56 62.26 1012.11 63.16 445.33
11.38 39.22 1018.62 57.14 473.71
20.25 57.76 1016.28 77.76 452.66
22.42 59.43 1007.12 90.56 440.99
14.85 38.91 1014.48 60.98 467.42
25.62 58.82 1010.02 70.31 444.14
19.85 56.53 1020.57 74.05 457.17
13.67 54.3 1015.92 75.42 467.87
24.39 70.72 1009.78 82.25 442.04
16.07 44.58 1019.52 67.95 471.36
11.6 39.1 1009.81 100.09 460.7
31.38 70.83 1010.35 47.28 431.33
29.91 76.86 998.59 72.41 432.6
19.67 59.39 1014.07 77.67 447.61
27.18 64.79 1016.27 63.7 443.87
21.39 52.3 1009.2 79.77 446.87
10.45 41.01 1020.57 93.84 465.74
19.46 56.89 1014.02 84.95 447.86
23.55 62.96 1020.16 70.16 447.65
23.35 63.47 1011.78 84.24 437.87
9.26 41.66 1016.87 73.32 483.51
10.3 41.46 1018.21 86.17 479.65
20.94 58.16 1016.88 65.43 455.16
23.13 71.25 1002.49 94.59 431.91
12.77 41.5 1014.13 86.8 470.68
28.29 69.13 1009.29 58.18 429.28
19.13 59.21 1018.32 89.66 450.81
24.44 73.5 1011.49 87.39 437.73
20.32 44.6 1015.16 36.35 460.21
20.54 69.05 1001.6 79.62 442.86
12.16 45.0 1021.51 50.52 482.99
28.09 65.27 1013.27 51.96 440.0
9.25 41.82 1033.25 74.73 478.48
21.75 49.82 1015.01 78.33 455.28
23.7 66.56 1002.07 85.19 436.94
16.22 37.87 1022.36 83.13 461.06
24.75 69.45 1013.97 53.49 438.28
10.48 39.58 1011.81 88.86 472.61
29.53 70.79 1003.7 60.89 426.85
12.59 39.72 1017.76 61.14 470.18
23.5 54.42 1012.31 68.29 455.38
29.01 66.56 1006.44 57.62 428.32
9.75 42.49 1010.57 83.63 480.35
19.55 56.53 1020.2 78.1 455.56
21.05 58.33 1013.14 66.34 447.66
24.72 68.67 1006.74 79.02 443.06
21.19 58.86 1014.19 68.96 452.43
10.77 41.54 1019.94 71.13 477.81
28.68 73.77 1004.72 87.01 431.66
29.87 73.91 1004.53 74.3 431.8
22.99 68.67 1006.65 77.62 446.67
24.66 60.29 1018.0 59.56 445.26
32.63 69.89 1013.85 41.66 425.72
31.38 72.29 1008.73 73.27 430.58
23.87 60.27 1018.94 77.16 439.86
25.6 59.15 1013.31 67.02 441.11
27.62 71.14 1011.6 52.8 434.72
30.1 67.45 1014.23 39.04 434.01
12.19 41.17 1019.43 65.47 475.64
13.11 41.58 1020.43 74.32 460.44
28.29 68.67 1005.46 69.22 436.4
13.45 40.73 1018.7 93.88 461.03
10.98 41.54 1019.94 69.83 479.08
26.48 69.14 1009.31 84.11 435.76
13.07 45.51 1015.22 78.65 460.14
25.56 75.6 1017.37 69.31 442.2
22.68 50.78 1008.83 70.3 447.69
28.86 73.67 1006.65 68.23 431.15
22.7 63.56 1014.32 71.76 445.0
27.89 73.21 1001.32 85.88 431.59
13.78 44.47 1027.94 71.09 467.22
28.14 51.43 1012.16 52.67 445.33
11.8 45.09 1013.21 89.68 470.57
10.71 39.61 1018.72 73.66 473.77
24.54 60.29 1017.42 58.94 447.67
11.54 40.05 1014.78 87.05 474.29
29.47 71.32 1008.07 67.0 437.14
29.24 69.05 1003.12 43.18 432.56
14.51 41.79 1009.72 80.62 459.14
22.91 60.07 1016.03 59.72 446.19
27.02 71.77 1006.38 72.1 428.1
13.49 44.47 1030.18 69.15 468.46
30.24 66.75 1017.95 55.66 435.02
23.19 48.6 1002.38 61.19 445.52
17.73 40.55 1003.36 74.62 462.69
18.62 61.27 1019.26 73.35 455.75
12.85 40.0 1015.89 68.85 463.74
32.33 69.68 1011.95 39.89 439.79
25.09 58.95 1016.99 53.16 443.26
29.45 69.13 1009.3 52.97 432.04
16.91 43.96 1013.32 79.87 465.86
14.09 45.87 1009.05 84.09 465.6
10.73 25.36 1009.35 100.15 469.43
23.2 49.3 1003.4 79.77 440.75
8.21 38.91 1015.82 88.99 481.32
9.3 40.56 1022.64 76.14 479.87
16.97 39.16 1005.7 69.13 458.59
23.69 71.97 1009.62 93.03 438.62
25.13 59.44 1012.38 77.92 445.59
9.86 43.56 1015.13 74.89 481.87
11.33 41.5 1013.58 88.7 475.01
26.95 48.41 1008.53 62.94 436.54
15.0 40.66 1016.28 89.62 456.63
20.76 62.52 1015.63 81.04 451.69
14.29 39.59 1010.93 94.53 463.04
19.74 67.71 1007.68 64.02 446.1
26.68 59.92 1009.94 70.57 438.67
14.24 41.4 1019.7 70.32 466.88
21.98 48.41 1008.42 84.86 444.6
22.75 59.39 1015.4 81.41 440.26
8.34 40.96 1023.28 89.45 483.92
11.8 41.2 1017.18 82.71 475.19
8.81 44.68 1023.06 93.93 479.24
30.05 73.68 1014.95 70.6 434.92
16.01 65.46 1014.0 87.68 454.16
21.75 58.79 1012.42 87.58 447.58
13.94 41.26 1021.67 74.4 467.9
29.25 69.13 1010.27 67.35 426.29
22.33 45.87 1007.8 63.61 447.02
16.43 41.79 1005.47 76.89 455.85
11.5 40.22 1010.31 78.08 476.46
23.53 68.94 1007.53 69.17 437.48
21.86 49.21 1014.61 53.31 452.77
6.17 39.33 1012.57 93.32 491.54
30.19 64.79 1017.22 42.47 438.41
11.67 41.93 1019.81 82.58 476.1
15.34 36.99 1007.87 94.59 464.58
11.5 40.78 1023.91 86.31 467.74
25.53 57.17 1010.0 72.57 442.12
21.27 57.5 1014.53 80.76 453.34
28.37 69.13 1010.44 71.93 425.29
28.39 51.43 1011.74 47.54 449.63
13.78 45.78 1025.27 95.72 462.88
14.6 42.32 1015.71 77.03 464.67
5.1 35.57 1027.17 80.49 489.96
7.0 38.08 1020.27 77.67 482.38
26.3 77.95 1009.45 78.72 437.95
30.56 71.98 1004.74 58.77 429.2
21.09 46.63 1013.03 74.8 453.34
28.21 70.02 1010.58 51.34 442.47
15.84 49.69 1015.14 90.41 462.6
10.03 40.96 1024.57 91.1 478.79
20.37 52.05 1012.34 62.57 456.11
21.19 50.16 1005.81 84.27 450.33
33.73 69.88 1007.21 42.93 434.83
29.87 73.68 1015.1 40.96 433.43
19.62 62.96 1020.76 76.53 456.02
9.93 40.67 1018.08 69.74 485.23
9.43 37.14 1013.03 74.99 473.57
14.24 39.58 1011.17 70.45 469.94
12.97 49.83 1008.69 91.49 452.07
7.6 41.04 1021.82 88.97 475.32
8.39 36.24 1013.39 89.13 480.69
25.41 48.06 1013.12 46.52 444.01
18.43 56.03 1020.41 60.55 465.17
10.31 39.82 1012.87 88.71 480.61
11.29 41.5 1013.39 89.15 476.04
22.61 49.3 1003.51 83.02 441.76
29.34 71.98 1005.19 75.19 428.24
18.87 67.71 1004.0 87.35 444.77
13.21 45.87 1008.58 85.66 463.1
11.3 44.6 1018.19 91.66 470.5
29.23 72.99 1007.04 63.47 431.0
27.76 69.4 1004.27 72.25 430.68
29.26 67.17 1006.6 70.58 436.42
25.72 49.82 1016.19 60.1 452.33
23.43 63.94 1010.64 89.29 440.16
25.6 63.76 1010.18 67.43 435.75
22.3 44.57 1008.48 67.58 449.74
27.91 72.24 1010.74 70.8 430.73
30.35 77.17 1009.55 63.62 432.75
21.78 47.43 1007.88 66.68 446.79
7.19 41.39 1018.12 90.76 486.35
20.88 59.8 1015.66 75.34 453.18
24.19 50.23 1015.73 59.77 458.31
9.98 41.54 1019.7 80.79 480.26
23.47 51.3 1011.89 74.1 448.65
26.35 49.5 1012.67 41.34 458.41
29.89 64.69 1006.37 58.78 435.39
19.29 50.16 1010.49 97.78 450.21
17.48 43.14 1018.68 74.85 459.59
25.21 75.6 1017.19 69.84 445.84
23.3 48.78 1018.17 75.36 441.08
15.42 37.85 1009.89 85.8 467.33
21.44 63.09 1016.56 90.11 444.19
29.45 68.27 1007.96 61.63 432.96
29.69 47.93 1002.85 44.76 438.09
15.52 36.99 1006.86 89.7 467.9
11.47 43.67 1012.68 72.51 475.72
9.77 34.69 1027.72 74.98 477.51
22.6 69.84 1006.37 79.59 435.13
8.24 39.61 1017.99 78.42 477.9
17.01 44.2 1019.18 61.23 457.26
19.64 44.6 1015.88 47.56 467.53
10.61 41.58 1021.08 93.06 465.15
12.04 40.1 1014.42 89.65 474.28
29.19 65.71 1013.85 50.5 444.49
21.75 45.09 1014.15 44.84 452.84
23.66 77.54 1008.5 85.32 435.38
27.05 75.33 1003.88 82.94 433.57
29.63 69.71 1009.04 67.26 435.27
18.2 39.63 1005.35 79.05 468.49
32.22 70.8 1009.9 62.03 433.07
26.88 73.56 1004.85 94.36 430.63
29.05 65.74 1013.29 60.02 440.74
8.9 39.96 1026.31 95.46 474.49
18.93 48.6 1005.72 84.92 449.74
27.49 63.76 1010.09 62.8 436.73
23.1 70.79 1006.53 90.81 434.58
11.22 43.13 1017.24 80.9 473.93
31.97 79.74 1007.03 55.84 435.99
13.32 43.22 1009.45 75.3 466.83
31.68 68.24 1005.29 37.34 427.22
23.69 63.77 1013.39 79.5 444.07
13.83 41.49 1020.11 87.29 469.57
18.32 66.51 1015.18 81.5 459.89
11.05 40.71 1024.91 76.42 479.59
22.03 64.69 1007.21 75.75 440.92
10.23 41.46 1020.45 84.95 480.87
23.92 66.54 1009.93 62.37 441.9
29.38 69.68 1011.35 49.25 430.2
17.35 42.86 1014.62 74.16 465.16
9.81 44.45 1021.19 90.55 471.32
4.97 40.64 1020.91 94.28 485.43
5.15 40.07 1012.27 63.31 495.35
21.54 58.49 1010.85 78.9 449.12
7.94 42.02 1006.22 90.97 480.53
18.77 50.66 1014.89 87.34 457.07
21.69 69.94 1010.7 80.8 443.67
10.07 44.68 1023.44 90.95 477.52
13.83 39.64 1012.52 69.97 472.95
10.45 39.69 1003.92 89.45 472.54
11.56 40.71 1015.85 76.08 469.17
23.64 70.04 1011.09 83.35 435.21
10.48 40.22 1004.81 92.16 477.78
13.09 39.85 1012.86 58.42 475.89
10.67 40.23 1017.75 85.06 483.9
12.57 39.16 1016.53 88.91 476.2
14.45 43.34 1015.47 83.33 462.16
14.22 37.85 1011.24 88.49 471.05
6.97 41.26 1010.6 96.88 484.71
20.61 63.86 1015.43 73.86 446.34
14.67 42.28 1007.21 65.17 469.02
29.06 72.86 1004.23 69.41 432.12
14.38 40.1 1015.51 81.23 467.28
32.51 69.98 1013.29 54.07 429.66
11.79 45.09 1013.16 89.17 469.49
8.65 40.56 1023.23 78.85 485.87
9.75 40.81 1026.0 84.44 481.95
9.11 40.02 1031.1 83.02 479.03
23.39 69.13 1010.99 90.66 434.5
14.3 54.3 1015.16 75.29 464.9
17.49 63.94 1020.02 82.6 452.71
31.1 69.51 1010.84 45.4 429.74
19.77 56.65 1020.67 66.33 457.09
28.61 72.29 1011.61 45.33 446.77
13.52 41.48 1014.46 67.12 460.76
13.52 40.83 1008.31 84.14 471.95
17.57 46.21 1014.09 80.81 453.29
28.18 60.07 1016.34 49.13 441.61
14.29 46.18 1017.01 87.29 464.73
18.12 43.69 1016.91 52.95 464.68
31.27 73.91 1003.72 68.92 430.59
26.24 77.95 1014.19 85.21 438.01
7.44 41.04 1021.84 88.56 479.08
29.78 74.78 1009.28 55.09 436.39
23.37 65.46 1016.25 48.64 447.07
10.62 39.58 1011.9 87.85 479.91
5.84 43.02 1013.88 87.42 489.05
14.51 53.82 1016.46 62.75 463.17
11.31 42.02 1001.18 94.86 471.26
11.25 40.67 1011.64 63.54 480.49
9.18 39.42 1025.41 69.46 473.78
19.82 58.16 1016.76 74.66 455.5
24.77 58.41 1013.78 80.57 446.27
9.66 41.06 1021.21 84.7 482.2
21.96 59.8 1016.72 72.6 452.48
18.59 43.14 1011.92 52.63 464.48
24.75 69.89 1015.29 82.01 438.1
24.37 63.47 1012.77 75.22 445.6
29.6 67.79 1010.37 51.05 442.43
25.32 61.25 1011.56 80.1 436.67
16.15 41.85 1016.54 81.58 466.56
15.74 71.14 1019.65 65.94 457.29
5.97 36.25 1029.65 86.74 487.03
15.84 52.72 1026.45 62.57 464.93
14.84 44.63 1019.28 57.37 466.0
12.25 48.79 1017.44 88.91 469.52
27.38 70.04 1011.18 72.26 428.88
8.76 41.48 1018.49 74.98 474.3
15.54 39.31 1009.69 71.19 461.06
18.71 39.39 1014.09 62.82 465.57
13.06 41.78 1012.3 55.31 467.67
12.72 40.71 1016.02 71.57 466.99
19.83 39.39 1013.73 59.16 463.72
27.23 49.16 1004.03 40.8 443.78
24.27 68.28 1005.43 67.63 445.23
11.8 40.66 1017.13 97.2 464.43
6.76 36.25 1028.31 91.16 484.36
25.99 63.07 1012.5 64.81 442.16
16.3 39.63 1004.64 85.61 464.11
16.5 49.39 1018.35 93.42 462.48
10.59 42.49 1009.59 77.36 477.49
26.05 65.59 1012.78 67.03 437.04
19.5 40.79 1003.8 89.45 457.09
22.21 45.01 1012.22 54.84 450.6
17.86 45.0 1023.25 53.48 465.78
29.96 70.04 1010.15 54.47 427.1
19.08 44.63 1020.14 43.36 459.81
23.59 47.43 1006.64 48.92 447.36
3.38 39.64 1011.0 81.22 488.92
26.39 66.49 1012.96 60.35 433.36
8.99 39.04 1021.99 75.98 483.35
10.91 41.04 1026.57 74.24 469.53
13.08 39.82 1012.27 85.21 476.96
23.95 58.46 1017.5 68.46 440.75
15.64 43.71 1024.51 78.31 462.55
18.78 54.2 1012.05 89.25 448.04
20.65 50.59 1016.22 68.57 455.24
4.96 40.07 1011.8 67.38 494.75
23.51 57.32 1012.55 53.6 444.58
5.99 35.79 1011.56 91.69 484.82
23.65 66.05 1019.6 78.21 442.9
5.17 39.33 1009.68 94.19 485.46
26.38 49.5 1012.82 37.19 457.81
6.02 43.65 1013.85 83.53 481.92
23.2 61.02 1009.63 79.45 443.23
8.57 39.69 1000.91 99.9 474.29
30.72 71.58 1009.98 50.39 430.46
21.52 50.66 1013.56 74.33 455.71
22.93 62.26 1011.25 83.66 438.34
5.71 41.31 1003.24 89.48 485.83
18.62 44.06 1017.76 64.59 452.82
27.88 68.94 1007.68 75.68 435.04
22.32 59.8 1016.82 64.18 451.21
14.55 42.74 1028.41 70.09 465.81
17.83 44.92 1025.04 70.58 458.42
9.68 39.96 1026.09 99.28 470.22
19.41 49.39 1020.84 81.89 449.24
13.22 44.92 1023.84 87.99 471.43
12.24 44.92 1023.74 88.21 473.26
19.21 58.49 1011.7 91.29 452.82
29.74 70.32 1008.1 52.72 432.69
23.28 60.84 1017.91 67.5 444.13
8.02 41.92 1029.8 92.05 467.21
22.47 48.6 1002.33 63.23 445.98
27.51 73.77 1002.42 90.88 436.91
17.51 44.9 1009.05 74.91 455.01
23.22 66.56 1002.47 85.39 437.11
11.73 40.64 1020.68 96.98 477.06
21.19 67.71 1006.65 56.28 441.71
5.48 40.07 1019.63 65.62 495.76
24.26 66.44 1011.33 55.32 445.63
12.32 41.62 1012.88 88.88 464.72
31.26 68.94 1005.94 39.49 438.03
32.09 72.86 1003.47 54.59 434.78
24.98 60.32 1015.63 57.19 444.67
27.48 61.41 1012.2 45.06 452.24
21.04 45.09 1014.19 40.62 450.92
27.75 70.4 1006.65 90.21 436.53
22.79 71.77 1005.75 90.91 435.53
24.22 68.51 1013.23 74.96 440.01
27.06 64.45 1008.72 54.21 443.1
29.25 71.94 1007.18 63.62 427.49
26.86 68.08 1012.99 50.04 436.25
29.64 67.79 1009.99 51.23 440.74
19.92 63.31 1015.02 82.71 443.54
18.5 51.43 1010.82 92.04 459.42
23.71 60.23 1009.76 90.67 439.66
14.39 44.84 1023.55 91.14 464.15
19.3 56.65 1020.55 70.43 459.1
24.65 52.36 1014.76 66.63 455.68
13.5 45.51 1015.33 86.95 469.08
9.82 41.26 1007.71 96.69 478.02
18.4 44.06 1017.36 70.88 456.8
28.12 44.89 1009.18 47.14 441.13
17.15 43.69 1017.05 63.36 463.88
30.69 73.67 1006.14 60.58 430.45
28.82 65.71 1014.24 54.3 449.18
21.3 48.92 1010.92 65.09 447.89
30.58 70.04 1010.4 48.16 431.59
21.17 52.3 1009.36 81.51 447.5
9.87 41.82 1033.04 68.57 475.58
22.18 59.8 1016.77 73.16 453.24
24.39 63.21 1012.59 80.88 446.4
10.73 44.92 1025.1 85.4 476.81
9.38 40.46 1019.29 75.77 474.1
20.27 57.76 1016.66 75.76 450.71
24.82 66.48 1006.4 70.21 433.62
16.55 41.66 1011.45 55.53 465.14
20.73 59.87 1019.08 80.48 445.18
9.51 39.22 1015.3 72.41 474.12
8.63 43.79 1016.08 83.25 483.91
6.48 40.27 1010.55 82.12 486.68
14.95 43.52 1022.43 94.75 464.98
5.76 45.87 1010.83 95.79 481.4
10.94 39.04 1021.81 86.02 479.2
15.87 41.16 1005.85 78.29 463.86
12.42 38.25 1012.76 82.23 472.3
29.12 58.84 1001.31 52.86 446.51
29.12 51.43 1005.93 60.66 437.71
19.08 41.1 1001.96 62.77 458.94
31.06 67.17 1007.62 65.54 437.91
5.72 39.33 1009.96 95.4 490.76
26.52 65.06 1013.4 51.78 439.66
13.84 44.9 1007.58 63.62 463.27
13.03 39.52 1016.68 83.09 473.99
25.94 66.49 1012.83 61.81 433.38
16.64 53.82 1015.13 68.24 459.01
14.13 40.75 1016.05 72.41 471.44
13.65 39.28 1012.97 79.64 471.91
14.5 44.47 1028.2 66.95 465.15
19.8 51.19 1008.25 91.98 446.66
25.2 63.76 1009.78 64.96 438.15
20.66 51.19 1008.81 88.93 447.14
12.07 43.71 1025.53 85.62 472.32
25.64 70.72 1010.16 84.0 441.68
23.33 72.99 1009.33 89.41 440.04
29.41 64.05 1009.82 67.4 444.82
16.6 53.16 1014.5 76.75 457.26
27.53 72.58 1009.13 89.06 428.83
20.62 43.43 1009.93 64.02 449.07
26.02 71.94 1009.38 64.12 435.21
12.75 44.2 1017.59 81.22 471.03
12.87 48.04 1012.47 100.13 465.56
25.77 62.96 1019.86 58.07 442.83
14.84 41.48 1017.26 63.42 460.3
7.41 40.71 1023.07 83.32 474.25
8.87 41.82 1033.3 74.28 477.97
9.69 40.46 1019.1 71.91 472.16
16.17 46.97 1014.22 85.8 456.08
26.24 49.82 1014.9 55.58 452.41
13.78 43.22 1011.31 69.7 463.71
26.3 67.07 1006.26 63.79 433.72
17.37 57.76 1016.0 86.59 456.4
23.6 48.98 1015.41 48.28 448.43
8.3 36.08 1020.63 80.42 481.6
18.86 42.18 1001.16 98.58 457.07
22.12 49.39 1019.8 72.83 451.0
28.41 75.6 1018.48 56.07 440.28
29.42 71.32 1002.26 67.13 437.47
18.61 67.71 1004.07 84.49 443.57
27.57 69.84 1004.91 68.37 426.6
12.83 41.5 1013.12 86.07 470.87
9.64 39.85 1012.9 83.82 478.37
19.13 58.66 1013.32 74.86 453.92
15.92 40.56 1020.79 53.52 470.22
24.64 72.24 1011.37 80.61 434.54
27.62 63.9 1013.11 43.56 442.89
8.9 36.24 1013.29 89.35 479.03
9.55 43.99 1020.5 97.28 476.06
10.57 36.71 1022.62 80.49 473.88
19.8 57.25 1010.84 88.9 451.75
25.63 56.85 1012.68 49.7 439.2
24.7 58.46 1015.58 68.64 439.7
15.26 46.18 1013.68 98.58 463.6
20.06 52.84 1004.21 82.12 447.47
19.84 56.89 1013.23 78.32 447.92
11.49 44.63 1020.44 86.04 471.08
23.74 72.43 1007.99 91.36 437.55
22.62 51.3 1012.36 81.02 448.27
29.53 72.39 998.47 76.05 431.69
21.32 48.14 1016.57 71.81 449.09
20.3 58.46 1015.93 82.13 448.79
16.97 44.92 1025.21 74.27 460.21
12.07 41.17 1013.54 71.32 479.28
7.46 41.82 1032.67 74.59 483.11
19.2 54.2 1011.46 84.44 450.75
28.64 66.54 1010.43 43.39 437.97
13.56 41.48 1008.53 87.2 459.76
17.4 44.9 1020.5 77.11 457.75
14.08 40.1 1015.48 82.81 469.33
27.11 69.75 1009.74 85.67 433.28
20.92 70.02 1010.23 95.58 444.64
16.18 44.9 1021.3 74.46 463.1
15.57 44.68 1022.01 90.02 460.91
10.37 39.04 1023.95 81.93 479.35
19.6 59.21 1017.65 86.29 449.23
9.22 40.92 1021.83 85.43 474.51
27.76 72.99 1007.81 71.66 435.02
28.68 70.72 1009.43 71.33 435.45
20.95 48.14 1013.3 67.72 452.38
9.06 39.3 1019.73 84.23 480.41
9.21 39.72 1019.54 74.44 478.96
13.65 42.74 1026.58 71.48 468.87
31.79 76.2 1007.89 56.3 434.01
14.32 44.6 1013.85 68.13 466.36
26.28 75.23 1011.44 68.35 435.28
7.69 43.02 1014.51 85.23 486.46
14.44 40.1 1015.51 79.78 468.19
9.19 41.01 1022.14 98.98 468.37
13.35 41.39 1019.17 72.87 474.19
23.04 74.22 1009.52 90.93 440.32
4.83 38.44 1015.35 72.94 485.32
17.29 42.86 1014.38 72.3 464.27
8.73 36.18 1013.66 77.74 479.25
26.21 70.32 1007.0 78.29 430.4
23.72 58.62 1016.65 69.1 447.49
29.27 64.69 1006.85 55.79 438.23
10.4 40.43 1025.46 75.09 492.09
12.19 40.75 1015.13 88.98 475.36
20.4 54.9 1016.68 64.26 452.56
34.3 74.67 1015.98 25.89 427.84
27.56 68.08 1010.8 59.18 433.95
30.9 70.8 1008.48 67.48 435.27
14.85 58.59 1014.04 89.85 454.62
16.42 40.56 1020.36 50.62 472.17
16.45 63.31 1015.96 83.97 452.42
10.14 42.02 1003.19 96.51 472.17
9.53 41.44 1018.01 80.09 481.83
17.01 49.15 1021.83 84.02 458.78
23.94 62.08 1022.47 61.97 447.5
15.95 49.25 1019.04 88.51 463.4
11.15 41.26 1022.67 81.83 473.57
25.56 70.32 1009.07 90.63 433.72
27.16 66.44 1011.2 73.37 431.85
26.71 77.95 1012.13 77.5 433.47
29.56 74.22 1007.45 57.46 432.84
31.19 70.94 1007.29 51.91 436.6
6.86 41.17 1020.12 79.14 490.23
12.36 41.74 1020.58 69.24 477.16
32.82 68.31 1010.44 41.85 441.06
25.3 70.98 1007.22 95.1 440.86
8.71 41.82 1033.08 74.53 477.94
13.34 40.8 1026.56 64.85 474.47
14.2 43.02 1012.18 57.07 470.67
23.74 65.34 1013.7 62.9 447.31
16.9 44.88 1018.14 72.21 466.8
28.54 71.94 1007.4 65.99 430.91
30.15 69.88 1007.2 73.67 434.75
14.33 42.86 1010.82 88.59 469.52
25.57 59.43 1008.88 61.19 438.9
30.55 70.04 1010.51 49.37 429.56
28.04 74.33 1013.53 48.65 432.92
26.39 49.16 1005.68 56.18 442.87
15.3 41.76 1022.57 71.56 466.59
6.03 41.14 1028.04 87.46 479.61
13.49 44.63 1019.12 70.02 471.08
27.67 59.14 1016.51 61.2 433.37
24.19 65.48 1018.8 60.54 443.92
24.44 59.14 1016.74 71.82 443.5
29.86 64.79 1017.37 44.8 439.89
30.2 69.59 1008.9 67.32 434.66
7.99 41.38 1021.95 78.77 487.57
9.93 41.62 1013.76 96.02 464.64
11.03 42.32 1017.26 90.56 470.92
22.34 63.73 1014.37 83.19 444.39
25.33 48.6 1002.54 68.45 442.48
18.87 52.08 1005.25 99.19 449.61
25.97 69.34 1009.43 88.11 435.02
16.58 43.99 1021.81 79.29 458.67
14.35 46.18 1016.63 87.76 461.74
25.06 62.39 1008.09 82.56 438.31
13.85 48.92 1011.68 79.24 462.38
16.09 44.2 1019.39 67.24 460.56
26.34 59.21 1013.37 58.98 439.22
23.01 58.79 1009.71 84.22 444.64
26.39 71.25 999.8 89.12 430.34
31.32 71.29 1008.37 50.07 430.46
16.64 45.87 1009.02 98.86 456.79
13.42 41.23 994.17 95.79 468.82
20.06 44.9 1008.79 70.06 448.51
14.8 44.71 1014.67 41.71 470.77
12.59 41.14 1025.79 86.55 465.74
26.7 66.56 1005.31 71.97 430.21
19.78 50.32 1008.62 96.4 449.23
15.17 49.15 1021.91 91.73 461.89
21.71 61.45 1010.97 91.62 445.72
19.09 39.39 1013.36 59.14 466.13
19.76 51.19 1008.38 92.56 448.71
14.68 41.23 998.43 83.71 469.25
21.3 66.86 1013.04 55.43 450.56
16.73 39.64 1008.94 74.91 464.46
12.26 41.5 1014.87 89.41 471.13
14.77 48.06 1010.92 69.81 461.52
18.26 59.15 1012.04 86.01 451.09
27.1 79.74 1005.43 86.05 431.51
14.72 40.83 1009.65 80.98 469.8
26.3 51.43 1012.05 63.62 442.28
16.48 48.92 1011.84 64.16 458.67
17.99 43.79 1016.13 75.63 462.4
20.34 59.8 1015.18 80.21 453.54
25.53 62.96 1019.81 59.7 444.38
31.59 58.9 1003.39 47.6 440.52
30.8 69.14 1007.68 63.78 433.62
10.75 45.0 1023.68 89.37 481.96
19.3 44.9 1008.89 70.55 452.75
4.71 39.42 1026.4 84.42 481.28
23.1 66.05 1020.28 80.62 439.03
32.63 73.88 1005.64 52.56 435.75
26.63 74.16 1009.72 83.26 436.03
24.35 58.49 1011.03 70.64 445.6
15.11 56.03 1020.27 89.95 462.65
29.1 50.05 1005.87 51.53 438.66
21.24 50.32 1008.54 84.83 447.32
6.16 39.48 1004.85 59.68 484.55
7.36 41.01 1024.9 97.88 476.8
10.44 39.04 1023.99 85.03 480.34
26.76 48.41 1010.53 47.38 440.63
16.79 44.6 1014.27 48.08 459.48
10.76 40.43 1025.98 79.65 490.78
6.07 38.91 1019.25 83.39 483.56
27.33 73.18 1012.26 82.18 429.38
27.15 59.21 1013.49 51.71 440.27
22.35 51.43 1011.34 77.33 445.34
21.82 65.27 1013.86 72.81 447.43
21.11 69.94 1004.37 84.26 439.91
19.95 50.59 1016.11 73.23 459.27
7.45 39.61 1017.88 79.73 478.89
15.36 41.66 1012.41 62.32 466.7
15.65 43.5 1021.39 78.58 463.5
25.31 74.33 1015.04 79.88 436.21
25.88 63.47 1011.95 65.87 443.94
24.6 63.94 1012.87 80.28 439.63
22.58 41.54 1013.21 71.33 460.95
19.69 59.14 1015.99 70.33 448.69
25.85 75.08 1006.24 57.73 444.63
10.06 37.83 1005.49 99.46 473.51
18.59 39.54 1008.56 68.61 462.56
18.27 50.16 1011.07 95.91 451.76
8.85 40.43 1025.68 80.42 491.81
30.04 68.08 1011.04 51.01 429.52
26.06 49.02 1007.59 74.08 437.9
14.8 38.73 1003.18 80.73 467.54
23.93 64.45 1015.35 54.71 449.97
23.72 66.48 1003.61 73.75 436.62
11.44 40.55 1023.37 88.43 477.68
20.28 63.86 1016.04 74.66 447.26
27.9 63.13 1011.8 70.04 439.76
24.74 59.39 1015.23 74.64 437.49
14.8 58.2 1018.29 85.11 455.14
8.22 41.03 1021.76 82.97 485.5
27.56 66.93 1016.81 55.59 444.1
32.07 70.94 1006.91 49.9 432.33
9.53 44.03 1008.87 89.99 471.23
13.61 42.34 1017.93 91.61 463.89
22.2 51.19 1009.2 82.95 445.54
21.36 59.54 1007.99 92.62 446.09
23.25 63.86 1017.82 59.64 445.12
23.5 59.21 1018.29 63.0 443.31
8.46 39.66 1015.14 85.38 484.16
8.19 40.69 1019.86 85.23 477.76
30.67 71.29 1008.36 52.08 430.28
32.48 62.04 1010.39 38.05 446.48
8.99 36.66 1028.11 71.98 481.03
13.77 47.83 1007.41 90.66 466.07
19.05 67.32 1013.2 83.14 447.47
21.19 55.5 1019.83 65.22 455.93
10.12 40.0 1021.15 91.67 479.62
24.93 47.01 1014.28 66.04 455.06
8.47 40.46 1019.87 78.19 475.06
24.52 56.85 1012.59 54.47 438.89
28.55 69.84 1003.38 67.26 432.7
20.58 50.9 1011.89 72.56 452.6
18.31 46.21 1010.46 82.15 451.75
27.18 71.06 1008.16 86.32 430.66
4.43 38.91 1019.04 88.17 491.9
26.02 74.78 1010.04 72.78 439.82
15.75 39.0 1015.91 69.58 460.73
22.99 60.95 1015.14 69.86 449.7
25.52 59.15 1013.88 65.37 439.42
27.04 65.06 1013.33 52.37 439.84
6.42 35.57 1025.58 79.63 485.86
17.04 40.12 1011.81 83.14 458.1
10.79 39.82 1012.89 88.25 479.92
20.41 56.03 1019.94 55.85 458.29
7.36 40.07 1017.29 52.55 489.45
28.08 73.42 1012.17 62.74 434.0
24.74 69.13 1010.69 90.08 431.24
28.32 47.93 1003.26 54.5 439.5
16.71 40.56 1019.48 49.88 467.46
30.7 71.58 1010.0 48.96 429.27
18.42 58.95 1016.95 86.77 452.1
10.62 42.02 999.83 96.66 472.41
22.18 69.05 1002.75 70.84 442.14
22.38 49.3 1003.56 83.83 441.0
13.94 41.58 1020.76 68.22 463.07
21.24 60.84 1017.99 82.22 445.71
6.76 39.81 1017.11 87.9 483.16
26.73 68.84 1010.75 66.83 440.45
7.24 38.06 1020.6 85.36 481.83
10.84 40.62 1015.53 60.9 467.6
19.32 52.84 1004.29 83.51 450.88
29.0 69.13 1001.22 52.96 425.5
23.38 54.42 1013.95 73.02 451.87
31.17 69.51 1010.51 43.11 428.94
26.17 48.6 1002.59 61.41 439.86
30.9 73.42 1011.21 65.32 433.44
24.92 73.68 1015.12 93.68 438.23
32.77 71.32 1007.68 42.39 436.95
14.37 40.56 1021.67 68.18 470.19
8.36 40.22 1011.6 89.18 484.66
31.45 68.27 1007.56 64.79 430.81
31.6 73.17 1010.05 43.48 433.37
17.9 48.98 1014.17 80.4 453.02
20.35 50.9 1012.6 72.43 453.5
16.21 41.23 995.88 80.0 463.09
19.36 44.6 1016.25 45.65 464.56
21.04 65.46 1017.22 63.02 452.12
14.05 40.69 1015.66 74.39 470.9
23.48 64.15 1021.08 57.77 450.89
21.91 63.76 1009.85 76.8 445.04
24.42 63.07 1011.49 67.39 444.72
14.26 40.92 1022.07 73.96 460.38
21.38 58.33 1013.05 72.75 446.8
15.71 44.06 1018.34 71.69 465.05
5.78 40.62 1016.55 84.98 484.13
6.77 39.81 1017.01 87.68 488.27
23.84 49.21 1013.85 50.36 447.09
21.17 58.16 1017.16 68.11 452.02
19.94 58.96 1014.16 66.27 455.55
8.73 41.92 1029.41 89.72 480.99
16.39 41.67 1012.96 61.07 467.68

Linear Regression Model

  • Linear Regression is one of the most useful work-horses of statistical learning
  • See Chapter 7 of Kevin Murphy's Machine Learning froma Probabilistic Perspective for a good mathematical and algorithmic introduction.
  • You should have already seen Ameet's treatment of the topic from earlier notebook.
// First let's hold out 20% of our data for testing and leave 80% for training
var Array(split20, split80) = dataset.randomSplit(Array(0.20, 0.80), 1800009193L)
split20: org.apache.spark.sql.Dataset[org.apache.spark.sql.Row] = [AT: double, V: double ... 3 more fields]
split80: org.apache.spark.sql.Dataset[org.apache.spark.sql.Row] = [AT: double, V: double ... 3 more fields]
// Let's cache these datasets for performance
val testSet = split20.cache()
val trainingSet = split80.cache()
testSet: org.apache.spark.sql.Dataset[org.apache.spark.sql.Row] = [AT: double, V: double ... 3 more fields]
trainingSet: org.apache.spark.sql.Dataset[org.apache.spark.sql.Row] = [AT: double, V: double ... 3 more fields]
testSet.count() // action to actually cache
res26: Long = 1856
trainingSet.count() // action to actually cache
res27: Long = 7712

Let's take a few elements of the three DataFrames.

dataset.take(3)
res28: Array[org.apache.spark.sql.Row] = Array([14.96,41.76,1024.07,73.17,463.26], [25.18,62.96,1020.04,59.08,444.37], [5.11,39.4,1012.16,92.14,488.56])
testSet.take(3)
res29: Array[org.apache.spark.sql.Row] = Array([2.34,39.42,1028.47,69.68,490.34], [2.8,39.64,1011.01,82.96,482.66], [3.82,35.47,1016.62,84.34,489.04])
trainingSet.take(3)
res30: Array[org.apache.spark.sql.Row] = Array([1.81,39.42,1026.92,76.97,490.55], [2.58,39.42,1028.68,69.03,488.69], [2.64,39.64,1011.02,85.24,481.29])
// ***** LINEAR REGRESSION MODEL ****

import org.apache.spark.ml.regression.LinearRegression
import org.apache.spark.ml.regression.LinearRegressionModel
import org.apache.spark.ml.Pipeline

// Let's initialize our linear regression learner
val lr = new LinearRegression()
import org.apache.spark.ml.regression.LinearRegression
import org.apache.spark.ml.regression.LinearRegressionModel
import org.apache.spark.ml.Pipeline
lr: org.apache.spark.ml.regression.LinearRegression = linReg_96951eb5ad16
// We use explain params to dump the parameters we can use
lr.explainParams()
res31: String =
aggregationDepth: suggested depth for treeAggregate (>= 2) (default: 2)
elasticNetParam: the ElasticNet mixing parameter, in range [0, 1]. For alpha = 0, the penalty is an L2 penalty. For alpha = 1, it is an L1 penalty (default: 0.0)
epsilon: The shape parameter to control the amount of robustness. Must be > 1.0. (default: 1.35)
featuresCol: features column name (default: features)
fitIntercept: whether to fit an intercept term (default: true)
labelCol: label column name (default: label)
loss: The loss function to be optimized. Supported options: squaredError, huber. (Default squaredError) (default: squaredError)
maxBlockSizeInMB: Maximum memory in MB for stacking input data into blocks. Data is stacked within partitions. If more than remaining data size in a partition then it is adjusted to the data size. Default 0.0 represents choosing optimal value, depends on specific algorithm. Must be >= 0. (default: 0.0)
maxIter: maximum number of iterations (>= 0) (default: 100)
predictionCol: prediction column name (default: prediction)
regParam: regularization parameter (>= 0) (default: 0.0)
solver: The solver algorithm for optimization. Supported options: auto, normal, l-bfgs. (Default auto) (default: auto)
standardization: whether to standardize the training features before fitting the model (default: true)
tol: the convergence tolerance for iterative algorithms (>= 0) (default: 1.0E-6)
weightCol: weight column name. If this is not set or empty, we treat all instance weights as 1.0 (undefined)

The cell below is based on the Spark ML pipeline API. More information can be found in the Spark ML Programming Guide at https://spark.apache.org/docs/latest/ml-guide.html

// Now we set the parameters for the method
lr.setPredictionCol("Predicted_PE")
  .setLabelCol("PE")
  .setMaxIter(100)
  .setRegParam(0.1)
// We will use the new spark.ml pipeline API. If you have worked with scikit-learn this will be very familiar.
val lrPipeline = new Pipeline()
lrPipeline.setStages(Array(vectorizer, lr))
// Let's first train on the entire dataset to see what we get
val lrModel = lrPipeline.fit(trainingSet)
lrPipeline: org.apache.spark.ml.Pipeline = pipeline_1fbeea3a78d7
lrModel: org.apache.spark.ml.PipelineModel = pipeline_1fbeea3a78d7

Since Linear Regression is simply a line of best fit over the data that minimizes the square of the error, given multiple input dimensions we can express each predictor as a line function of the form:

\[ y = b_0 + b_1 x_1 + b_2 x_2 + b_3 x_3 + \ldots + b_i x_i + \ldots + b_k x_k \]

where \(b_0\) is the intercept and \(b_i\)'s are coefficients.

To express the coefficients of that line we can retrieve the Estimator stage from the fitted, linear-regression pipeline model named lrModel and express the weights and the intercept for the function.

// The intercept is as follows:
val intercept = lrModel.stages(1).asInstanceOf[LinearRegressionModel].intercept
intercept: Double = 434.0183482458498
// The coefficents (i.e. weights) are as follows:

val weights = lrModel.stages(1).asInstanceOf[LinearRegressionModel].coefficients.toArray
weights: Array[Double] = Array(-1.9288465830311992, -0.2493165946592376, 0.08140785421512364, -0.14587975219954638)

The model has been fit and the intercept and coefficients displayed above.

Now, let us do some work to make a string of the model that is easy to understand for an applied data scientist or data analyst.

val featuresNoLabel = dataset.columns.filter(col => col != "PE")
featuresNoLabel: Array[String] = Array(AT, V, AP, RH)
val coefficentFeaturePairs = sc.parallelize(weights).zip(sc.parallelize(featuresNoLabel))
coefficentFeaturePairs: org.apache.spark.rdd.RDD[(Double, String)] = ZippedPartitionsRDD2[113] at zip at command-2971213210275912:1
coefficentFeaturePairs.collect() // this just pairs each coefficient with the name of its corresponding feature
res32: Array[(Double, String)] = Array((-1.9288465830311992,AT), (-0.2493165946592376,V), (0.08140785421512364,AP), (-0.14587975219954638,RH))
// Now let's sort the coefficients from the largest to the smallest

var equation = s"y = $intercept "
//var variables = Array
coefficentFeaturePairs.sortByKey().collect().foreach({
  case (weight, feature) =>
  { 
        val symbol = if (weight > 0) "+" else "-"
        val absWeight = Math.abs(weight)
        equation += (s" $symbol (${absWeight} * ${feature})")
  }
}
)
equation: String = y = 434.0183482458498  - (1.9288465830311992 * AT) - (0.2493165946592376 * V) - (0.14587975219954638 * RH) + (0.08140785421512364 * AP)
// Finally here is our equation
println("Linear Regression Equation: " + equation)
Linear Regression Equation: y = 434.0183482458498  - (1.9288465830311992 * AT) - (0.2493165946592376 * V) - (0.14587975219954638 * RH) + (0.08140785421512364 * AP)

Based on examining the fitted Linear Regression Equation above:

  • There is a strong negative correlation between Atmospheric Temperature (AT) and Power Output due to the coefficient being greater than -1.91.
  • But our other dimenensions seem to have little to no correlation with Power Output.

Do you remember Step 2: Explore Your Data? When we visualized each predictor against Power Output using a Scatter Plot, only the temperature variable seemed to have a linear correlation with Power Output so our final equation seems logical.

Now let's see what our predictions look like given this model.

val predictionsAndLabels = lrModel.transform(testSet)

display(predictionsAndLabels.select("AT", "V", "AP", "RH", "PE", "Predicted_PE"))
AT V AP RH PE Predicted_PE
2.34 39.42 1028.47 69.68 490.34 493.23742177145346
2.8 39.64 1011.01 82.96 482.66 488.93663844862806
3.82 35.47 1016.62 84.34 489.04 488.2642491377767
3.98 35.47 1017.22 86.53 489.64 487.6850017397038
4.23 38.44 1016.46 76.64 489.0 487.84320058785806
4.32 35.47 1017.8 88.51 488.03 486.78756854756284
4.43 38.91 1019.04 88.17 491.9 485.8682911927762
4.65 35.19 1018.23 94.78 489.36 485.34119715268844
4.78 42.85 1013.39 93.36 481.47 482.9938172155268
4.87 42.85 1012.69 94.72 482.05 482.56483906211207
4.96 40.07 1011.8 67.38 494.75 487.00024243767604
4.97 42.85 1014.02 88.78 482.98 483.34675257798034
5.01 39.4 1003.69 91.9 475.34 482.83365300532864
5.06 40.64 1021.49 93.7 483.73 483.61453434986964
5.15 35.19 1018.63 93.94 488.42 484.5318759947065
5.15 40.07 1012.27 63.31 495.35 487.26575386983336
5.17 35.57 1026.68 79.86 491.32 487.10787889447676
5.21 41.31 1003.51 91.23 486.46 482.0547750131382
5.23 40.78 1025.13 92.74 483.12 483.68809525895665
5.25 40.07 1019.48 67.7 495.23 487.01940772826526
5.28 45.87 1008.25 97.88 479.91 480.1986449575326
5.29 41.38 1020.62 83.83 492.12 484.355413676767
5.42 41.38 1020.77 86.02 491.38 483.7973981417882
5.47 40.62 1018.66 83.61 481.56 484.07023605498466
5.51 41.03 1022.28 84.5 491.84 484.0557258406543
5.53 35.79 1011.19 94.01 484.64 483.0334383183447
5.54 41.38 1020.47 82.91 490.07 483.99520022490054
5.54 45.87 1008.69 95.91 478.02 480.0203474136323
5.56 45.87 1006.99 96.48 476.61 479.76022567105224
5.65 40.72 1022.46 85.17 487.09 483.77988944315933
5.7 40.62 1016.07 84.94 482.82 483.22173492804495
5.8 45.87 1009.14 92.06 481.6 480.1171178824092
5.82 40.78 1024.82 96.01 470.02 482.047812550469
5.84 43.02 1013.88 87.42 489.05 481.8132715930524
5.97 36.25 1029.65 86.74 487.03 484.63339497556956
6.02 41.38 1021.2 88.71 490.57 482.2826790358652
6.03 41.17 1019.81 84.2 488.57 482.86050781997426
6.04 41.14 1027.8 86.4 480.39 483.17821215232357
6.04 41.14 1027.92 87.12 481.37 483.0829476732457
6.06 41.17 1019.67 84.7 489.62 482.71830544679347
6.13 40.64 1020.69 94.57 481.13 481.3586268382406
6.14 39.4 1011.21 90.87 485.94 481.4164995749667
6.15 40.77 1022.42 88.57 482.49 482.30375285026366
6.17 36.25 1028.68 90.59 483.77 483.6070229944064
6.22 39.33 1012.31 93.23 491.77 481.024916434396
6.25 39.64 1010.98 83.45 483.43 482.20819442296613
6.3 41.14 1027.45 86.11 481.49 482.69052441989805
6.34 40.64 1020.62 94.39 478.78 480.9741288614049
6.38 40.07 1018.53 60.2 492.96 485.85657176943226
6.45 40.02 1032.08 79.7 481.36 483.9924395950768
6.48 40.27 1010.55 82.12 486.68 481.76650494734656
6.49 43.65 1020.41 72.78 484.94 483.0697247196729
6.52 39.85 1012.55 86.36 483.01 481.33834961288636
6.59 39.37 1020.34 77.92 488.17 483.18839461041057
6.65 39.33 1011.29 92.85 490.41 480.167910698229
6.71 40.72 1022.78 80.69 483.11 482.41490386834903
6.72 38.91 1016.89 90.47 485.89 480.9406822010133
6.76 39.22 1013.91 77.0 487.08 482.5086450499145
6.8 41.16 1023.17 95.4 477.8 480.01746628251476
6.84 41.06 1021.04 89.59 489.96 480.63940670946056
6.86 38.08 1019.62 77.37 486.92 483.01084464877744
6.91 36.08 1021.82 84.31 486.37 482.5797273079528
6.91 39.37 1019.58 71.02 488.2 483.515864024814
6.93 41.14 1027.18 84.67 479.06 481.66343779511766
6.99 35.19 1019.32 68.95 480.05 484.68450470880424
6.99 39.37 1020.19 75.06 487.18 482.82186089035656
7.05 43.65 1018.41 72.36 480.47 481.888024420669
7.1 35.77 1015.39 92.1 480.36 480.6306788292835
7.11 41.74 1022.35 90.68 487.85 479.89671820679814
7.11 43.13 1018.96 87.82 486.11 479.69141160572326
7.24 38.06 1020.6 85.36 481.83 481.1970697561752
7.3 43.65 1019.33 67.62 482.96 482.17217802621497
7.34 40.72 1023.01 80.08 483.92 481.3074409763506
7.4 41.04 1024.44 90.9 477.69 479.6499231838063
7.41 40.71 1023.07 83.32 474.25 480.7071489556114
7.44 41.04 1021.84 88.56 479.08 479.70246751967267
7.45 39.61 1017.88 79.73 478.89 481.00544489343514
7.46 41.82 1032.67 74.59 483.11 482.3890108435553
7.48 38.5 1014.01 77.35 488.43 481.25646633043834
7.52 41.66 1015.2 78.41 483.28 480.33371483717843
7.54 38.56 1016.49 69.1 486.76 482.5311759738767
7.55 41.04 1027.03 83.32 476.58 480.6772110604413
7.55 43.65 1019.09 61.71 481.61 482.5325778309449
7.57 41.14 1028.23 87.97 477.8 480.033051046645
7.6 41.04 1021.82 88.97 475.32 479.33241321090156
7.65 41.01 1024.31 97.17 475.89 478.24994196854914
7.67 41.66 1016.25 77.0 485.03 480.335556547251
7.69 36.24 1013.08 88.37 482.46 479.7315598782726
7.7 40.35 1011.72 92.88 484.57 477.91894784424034
7.73 37.8 1020.71 63.93 483.94 483.4519151987013
7.73 39.04 1018.61 68.23 482.39 482.344523193014
7.76 42.28 1008.52 83.31 483.8 478.4576001166274
7.81 39.64 1011.42 86.68 482.22 478.7638216096876
7.82 40.72 1022.17 88.13 481.52 479.1388800137486
7.84 43.52 1022.23 96.51 483.79 477.1846287648628
7.87 42.85 1012.18 94.21 480.54 476.81117998099046
7.89 40.46 1019.61 74.53 477.27 480.8442435906709
7.9 40.0 1018.74 79.55 474.5 480.13649956917493
7.91 39.96 1023.57 88.44 475.52 479.22351270593606
7.92 39.54 1011.51 84.41 481.44 478.9150538893924
7.95 41.26 1008.48 97.92 480.6 476.2108626985999
7.97 38.5 1013.84 72.36 487.19 481.02543213301226
8.01 40.46 1019.42 76.15 475.42 480.36098930984303
8.01 40.62 1015.62 86.43 476.22 478.5121049560687
8.01 41.66 1014.49 76.72 485.13 479.57731721621764
8.03 40.07 1016.06 47.46 488.02 484.33140555054166
8.04 40.64 1020.64 89.26 477.78 478.4450809561198
8.05 40.62 1018.16 73.67 477.2 480.5031526805201
8.07 43.41 1016.02 76.26 467.56 479.216941083543
8.07 43.69 1017.05 87.34 485.18 477.61463487250904
8.11 41.92 1029.61 91.92 483.52 478.33312476560263
8.16 39.72 1020.54 82.11 480.21 479.4778900760478
8.18 40.02 1031.45 73.66 478.81 481.48536176156256
8.23 43.79 1016.11 82.11 484.67 477.96751548079953
8.24 39.61 1017.99 78.42 477.9 479.6817134321856
8.25 41.26 1020.59 91.84 475.17 477.50500673160894
8.26 40.96 1025.23 89.22 485.73 478.3204506384974
8.27 39.64 1011.0 84.64 479.91 478.13995557721
8.28 40.56 1023.29 79.44 486.4 479.6503730840347
8.28 40.77 1011.55 89.79 480.15 477.13243295540536
8.3 36.3 1015.97 60.62 480.58 482.82343628916317
8.3 43.13 1020.02 83.11 484.07 478.169470130244
8.33 38.08 1018.94 73.78 481.89 480.64379114125165
8.34 40.72 1023.62 83.75 483.14 478.8928744938183
8.35 43.52 1022.78 97.34 479.31 476.1246111330096
8.35 43.79 1016.2 85.23 484.21 477.28823577085257
8.37 40.92 1021.82 86.03 476.02 478.3060058047933
8.39 36.24 1013.39 89.13 480.69 478.2957350932858
8.42 42.28 1008.4 87.78 481.91 476.52270993698903
8.46 40.8 1023.57 81.27 485.06 478.99917896902593
8.48 38.5 1013.5 66.51 485.29 480.8674382556005
8.51 38.5 1013.33 64.28 482.39 481.121045370298
8.61 43.8 1021.9 74.35 478.25 478.83543896627515
8.63 39.96 1024.39 99.47 475.79 476.292443939849
8.65 40.56 1023.23 78.85 485.87 479.017884430858
8.67 40.77 1011.81 89.4 479.23 476.458241933477
8.68 41.82 1032.83 73.62 478.61 480.1903466285652
8.72 36.25 1029.31 85.73 479.94 479.44872675152214
8.73 36.18 1013.66 77.74 479.25 479.3384367489257
8.73 41.92 1029.41 89.72 480.99 477.4418937681193
8.74 40.03 1016.81 93.37 481.07 476.335613607556
8.75 36.3 1015.61 57.53 480.4 482.3769169335783
8.75 40.22 1008.96 90.53 482.8 476.0442018293985
8.76 41.82 1033.29 76.5 480.08 479.653352828527
8.77 40.46 1019.68 77.84 475.0 478.669695167618
8.8 42.32 1017.91 86.8 483.88 476.69692642239215
8.81 43.56 1014.99 81.5 482.52 476.90393713153384
8.83 36.25 1028.86 85.6 478.45 479.2188844607779
8.85 40.22 1008.61 90.6 482.3 475.8126128394661
8.87 41.16 1023.17 94.13 472.45 476.2100211409336
8.88 36.66 1026.61 76.16 480.2 480.2141595165957
8.91 43.52 1022.78 98.0 478.38 474.9481764100604
8.93 40.46 1019.03 71.0 472.77 479.3059821141381
8.94 41.74 1022.55 90.74 483.53 476.37445774556215
8.96 40.02 1031.21 82.32 475.47 478.69800488773853
8.96 40.05 1015.91 89.4 467.24 476.41215657483457
8.99 36.66 1028.11 71.98 481.03 480.7338755379791
9.01 38.56 1016.67 63.61 482.37 480.5113047501551
9.03 40.71 1025.98 81.94 484.97 478.0206284049022
9.04 44.68 1023.14 90.73 479.53 475.49807173046975
9.06 43.79 1016.05 81.32 482.8 476.4769333498684
9.08 36.18 1020.24 68.37 477.26 480.56589740371004
9.08 36.71 1025.07 81.32 479.02 478.9378167534155
9.08 40.02 1031.2 75.34 476.69 479.48396988958547
9.11 40.64 1020.68 86.91 476.62 476.72728884411396
9.12 41.49 1020.58 96.23 475.69 475.128341196902
9.12 41.54 1018.61 79.26 482.95 477.4310812891916
9.13 39.04 1022.36 74.6 483.24 479.02016340856596
9.13 39.16 1014.14 86.17 484.86 476.63324412260977
9.14 37.36 1015.22 78.06 491.97 478.33373080005674
9.15 39.61 1018.11 75.29 474.88 478.3928356085176
9.15 39.61 1018.69 84.47 475.64 477.10087603877054
9.16 41.03 1021.3 76.08 484.96 478.1639636289798
9.19 40.62 1017.78 68.91 475.42 478.9677202117326
9.2 40.03 1017.05 92.46 480.38 475.6006326388749
9.26 44.68 1023.22 91.44 478.82 474.9766634864784
9.29 39.04 1022.72 74.29 482.55 478.78607750598024
9.3 38.18 1017.19 71.51 480.14 478.936561588862
9.31 43.56 1015.09 79.96 482.55 476.17230944382703
9.32 37.73 1022.14 79.49 477.91 478.2490255806105
9.35 44.03 1011.02 88.11 476.25 474.4577268339341
9.37 40.11 1024.94 75.03 471.13 478.4377754427823
9.39 39.66 1019.22 75.33 482.16 478.00197412694797
9.41 34.69 1027.02 78.91 480.87 479.3152324207473
9.41 39.61 1016.14 78.38 477.34 477.2801935898291
9.45 39.04 1023.08 75.81 483.66 478.2850316568694
9.46 42.28 1008.67 78.16 481.95 475.9420528274343
9.47 41.4 1026.49 87.9 479.68 476.171982140594
9.48 44.68 1023.29 92.9 478.66 474.3450313497953
9.5 37.36 1015.13 63.41 478.8 479.7691576930095
9.51 43.79 1016.02 79.81 481.12 475.8267885776992
9.53 38.18 1018.43 75.33 476.54 478.0366119605893
9.53 38.38 1020.49 80.08 478.03 477.46151999839276
9.55 38.08 1019.34 68.38 479.23 479.1109121135172
9.55 39.66 1018.8 74.88 480.74 477.7248132633824
9.59 34.69 1027.65 75.32 478.88 479.5430352943536
9.59 38.56 1017.52 61.89 481.05 479.7126835818631
9.61 44.03 1008.3 91.36 473.54 473.2606881642323
9.63 41.14 1027.99 87.89 469.73 476.0517595807651
9.68 38.16 1015.54 79.67 475.51 476.88388448180007
9.68 41.06 1022.75 87.44 476.67 475.61433131158884
9.69 40.46 1019.1 71.91 472.16 477.71300668632784
9.72 41.44 1015.17 84.41 481.85 475.26738125651104
9.75 36.66 1026.21 70.12 479.45 479.3846135509578
9.76 39.16 1014.19 85.4 482.38 475.5344685772045
9.78 52.75 1022.97 78.31 469.58 473.85672752722843
9.82 39.64 1010.79 69.22 477.93 477.38261350304344
9.83 41.17 1019.34 72.29 478.21 477.2300569616712
9.84 36.66 1026.7 70.02 477.62 479.26549518227034
9.86 37.83 1005.05 100.15 472.46 472.77738085732864
9.86 41.01 1018.49 98.71 467.37 473.28874249013086
9.87 40.81 1017.17 84.25 473.2 475.32128019247386
9.88 39.66 1017.81 76.05 480.05 476.8370208052357
9.92 40.64 1020.39 95.41 469.65 473.90133694044016
9.93 40.67 1018.08 69.74 485.23 477.4312500724955
9.95 43.56 1014.85 82.62 477.88 474.53026960482464
9.96 41.26 1022.9 83.83 475.21 475.5632280329809
9.96 41.55 1002.59 65.86 475.91 476.45899184844643
9.96 42.03 1017.78 82.39 477.85 475.1645128846792
9.97 41.62 1013.99 96.02 464.86 472.950567432704
9.98 41.01 1017.83 98.07 466.05 473.0969147577929
9.98 41.62 1013.56 95.77 463.16 472.9327435276111
9.99 41.82 1033.14 68.36 475.75 478.45612153617066
9.99 42.07 1018.78 85.68 471.6 474.6981382928805
10.01 40.78 1023.71 88.11 470.82 475.02803269176593
10.02 41.44 1017.37 77.65 479.63 475.85397168574394
10.06 34.69 1027.9 71.73 477.68 479.1805376742791
10.08 43.14 1010.67 85.9 478.73 473.56546210095377
10.09 37.14 1012.99 72.59 473.66 477.1725989266339
10.1 41.4 1024.29 85.94 474.28 475.0636358283222
10.1 41.58 1021.26 94.06 468.19 473.5875494551514
10.11 41.62 1017.17 97.82 463.57 472.67682233352457
10.12 41.55 1005.78 62.34 475.46 476.92356417785004
10.12 43.72 1011.33 97.62 473.05 471.6877231007335
10.13 38.16 1013.57 79.04 474.92 475.94743429051795
10.15 41.46 1019.78 83.56 481.31 474.9322788912158
10.15 43.41 1018.4 82.07 473.43 474.55112952359076
10.16 41.55 1005.69 58.04 477.27 477.4663665421075
10.18 43.5 1022.84 88.7 476.91 473.86509374821264
10.2 41.01 1021.39 96.64 468.27 473.1709885161772
10.2 41.46 1019.12 83.26 480.11 474.8258713039421
10.22 37.83 1005.94 93.53 471.79 473.12117303724983
10.23 41.46 1020.45 84.95 480.87 474.6297415713401
10.24 39.28 1010.13 81.61 477.53 474.8010725987133
10.25 41.26 1007.44 98.08 476.03 471.6665106288925
10.25 41.46 1018.67 84.41 479.28 474.52503372536427
10.27 52.75 1026.19 76.78 470.76 473.3969220129811
10.28 39.64 1010.45 74.15 477.65 475.74847822607217
10.31 37.5 1008.55 99.31 474.16 472.3991408528027
10.31 38.18 1018.02 70.1 476.31 477.2616855096004
10.32 38.91 1012.11 81.49 479.17 474.91770513370466
10.33 40.62 1017.41 64.22 473.16 477.42289023883336
10.34 41.46 1017.75 89.73 478.03 473.500462025312
10.37 37.83 1006.5 90.99 470.66 473.24796901874254
10.39 40.22 1006.59 87.77 479.14 473.0905849348082
10.4 42.44 1014.24 93.48 480.04 472.3076103285207
10.42 41.26 1008.48 96.76 472.54 471.6158321510643
10.42 41.46 1021.04 89.16 479.24 473.69713759779097
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20.12 58.12 1015.47 79.38 453.33 451.8069735038988
20.16 57.76 1019.34 72.1 455.13 453.1966266064801
20.19 44.57 1009.2 72.13 454.36 455.59739505823717
20.19 66.86 1012.97 64.7 454.84 451.4309223325164
20.21 54.9 1016.82 66.56 454.23 454.4162557726173
20.21 69.94 1009.33 83.96 447.06 447.518481672599
20.23 52.05 1012.15 47.49 457.57 457.4899833309962
20.24 56.65 1020.72 62.9 455.49 454.77349685896206
20.25 44.78 1007.93 40.16 462.44 459.9896954813431
20.28 48.78 1017.4 82.51 451.59 453.52748857898166
20.28 62.52 1017.89 75.67 452.45 451.13958592197406
20.3 58.46 1015.93 82.13 448.79 451.0112917711592
20.33 57.76 1016.47 75.35 450.25 452.1609729511189
20.37 52.05 1012.34 62.57 456.11 455.0355456385036
20.43 63.09 1016.46 91.78 445.58 448.24161243610126
20.45 59.8 1015.13 79.21 452.96 450.74872313991176
20.5 49.69 1009.6 70.81 452.94 453.94807606743166
20.51 39.72 1002.25 47.97 452.39 459.1480198621104
20.51 68.08 1012.73 78.05 445.96 448.54249260358654
20.56 60.08 1017.79 78.08 452.8 450.84813038147144
20.56 64.45 1012.24 53.09 458.97 452.9523382793833
20.58 39.53 1005.68 62.09 460.1 457.2797775931837
20.59 59.8 1015.27 77.94 453.83 450.67534900317094
20.6 59.15 1013.32 91.07 443.76 448.7439698617696
20.61 60.1 1010.84 80.57 450.46 449.8176765506547
20.61 62.91 1013.24 79.54 446.53 449.46273191454407
20.61 63.86 1015.43 73.86 446.34 450.23276134284237
20.61 65.61 1014.91 83.82 449.72 448.30116288608934
20.64 61.86 1012.81 99.97 447.14 446.6513202266961
20.65 41.67 1012.76 45.27 455.5 459.6412858596402
20.65 57.5 1016.04 87.45 448.22 449.80841398023324
20.68 63.86 1015.73 74.36 447.84 450.0492245621949
20.69 50.78 1008.71 91.95 447.58 450.15348917672725
20.71 58.18 1007.63 98.44 447.06 447.2352893702609
20.72 63.94 1017.17 59.83 447.69 452.1889854808301
20.76 44.58 1017.09 57.47 462.01 457.27636447696545
20.76 59.04 1012.51 85.39 448.92 449.22543586447625
20.76 69.05 1001.89 77.86 442.82 446.96369987423526
20.77 43.77 1010.76 63.12 453.46 456.11949013569995
20.78 58.86 1016.02 77.29 446.2 450.69910348096573
20.8 69.45 1013.7 82.48 443.77 447.07428167616905
20.82 63.77 1014.28 86.37 448.9 447.93156732156143
20.83 44.78 1008.51 35.9 460.6 459.5396287629999
20.85 59.21 1012.9 75.97 444.44 450.41539217977504
20.87 57.19 1006.5 77.0 445.95 450.20916835758374
20.88 59.8 1015.66 75.34 453.18 450.5270199129546
20.9 67.07 1005.43 82.85 443.46 446.747552050482
20.92 70.02 1010.23 95.58 444.64 444.507199619309
20.94 44.78 1008.14 35.7 465.57 459.32651068324674
20.94 68.12 1012.43 78.2 446.41 447.6568115900023
20.95 44.89 1010.48 67.97 450.39 454.76275216738793
20.95 48.14 1013.3 67.72 452.38 454.21851332168194
20.95 70.72 1009.96 87.73 445.66 445.39798853968495
20.96 69.48 1011.04 82.63 444.31 446.51975987000213
20.98 60.1 1011.07 79.44 450.95 449.28757124138815
20.99 67.07 1005.17 82.41 442.02 446.61697690688106
21.01 58.96 1014.33 61.8 453.88 452.35263519535005
21.06 50.59 1016.42 66.12 454.15 453.88291464930387
21.06 62.91 1011.92 75.52 455.22 449.07372918845823
21.06 67.07 1004.9 84.09 446.44 446.2148995417356
21.08 44.05 1008.13 72.52 449.6 453.8663667211942
21.11 58.66 1011.7 68.71 457.89 451.01241377116
21.11 59.39 1013.87 85.29 446.02 448.5883814092371
21.13 51.43 1007.43 88.72 445.4 449.5097304398742
21.14 58.05 1012.98 87.27 449.74 448.503305348983
21.14 58.98 1009.05 94.36 448.31 446.91722060578974
21.16 45.38 1014.65 73.06 458.63 453.8324720669498
21.18 44.57 1007.27 73.67 449.93 453.3060649640138
21.18 60.1 1011.02 78.19 452.39 449.0800812223206
21.19 74.93 1015.75 80.84 443.29 445.3619054648025
21.26 50.32 1008.41 87.22 446.22 449.83432112958207
21.28 70.32 1011.06 90.12 439.0 444.60209183702807
21.32 45.01 1012.23 59.94 452.75 455.3330390953461
21.32 49.02 1008.81 85.81 445.65 450.2809554999446
21.33 58.46 1016.17 79.73 445.27 449.39422908092763
21.33 60.1 1010.97 78.36 451.95 448.7618842842812
21.33 63.86 1020.33 72.13 445.02 449.4952622600192
21.34 59.8 1016.92 77.06 450.74 449.4914112072881
21.36 58.95 1018.35 78.87 443.93 449.51712426113426
21.36 68.28 1007.6 72.37 445.91 447.26408438944804
21.38 44.05 1005.69 81.66 445.71 451.7557366468961
21.39 51.3 1013.39 89.05 452.7 449.4776919784881
21.39 63.9 1013.44 70.95 449.38 448.98079679330425
21.4 44.57 1005.7 73.09 445.09 452.8385186409049
21.4 68.28 1008.2 60.34 450.22 448.9907086576164
21.41 56.9 1007.03 79.41 441.41 448.93146897513117
21.42 43.79 1015.76 43.08 462.19 458.191223029991
21.44 51.19 1009.1 84.94 446.17 449.6590005617063
21.44 63.09 1016.56 90.11 444.19 446.5452373588345
21.45 45.09 1013.83 52.26 453.15 456.31295277561605
21.45 60.08 1017.92 72.7 451.49 449.9268730104552
21.45 66.05 1014.81 73.73 453.38 448.035018368965
21.46 46.63 1012.97 71.29 452.1 453.06361431502813
21.47 58.79 1017.0 76.97 446.33 449.51211271813503
21.49 56.9 1007.47 66.66 452.46 450.67294754488756
21.52 66.51 1015.32 72.85 444.87 447.9552056621949
21.53 52.84 1005.06 88.22 444.04 448.2666586698021
21.54 58.49 1010.85 78.9 449.12 448.6696822105525
21.54 69.48 1011.04 80.48 443.15 445.71467031907304
21.55 44.57 1006.03 71.54 446.84 452.8021698612505
21.55 60.27 1017.42 92.59 443.93 446.74436600081026
21.57 66.49 1014.76 68.19 455.18 448.49796091182594
21.58 63.87 1015.27 63.15 451.88 449.90863388073825
21.61 41.54 1014.5 75.62 458.47 453.53620348431406
21.61 49.39 1019.41 78.2 449.26 451.6024110197605
21.62 50.05 1007.2 92.9 444.16 448.28015134415506
21.65 58.18 1008.33 95.28 441.05 445.9401390971127
21.69 44.57 1005.84 71.53 447.88 452.51812264484727
21.71 65.27 1013.24 63.58 444.91 449.0808543549187
21.73 69.05 1001.31 86.64 439.01 443.7646779089382
21.75 59.8 1016.65 72.94 453.17 449.2796285666693

Now that we have real predictions we can use an evaluation metric such as Root Mean Squared Error to validate our regression model. The lower the Root Mean Squared Error, the better our model.

//Now let's compute some evaluation metrics against our test dataset

import org.apache.spark.mllib.evaluation.RegressionMetrics 

val metrics = new RegressionMetrics(predictionsAndLabels.select("Predicted_PE", "PE").rdd.map(r => (r(0).asInstanceOf[Double], r(1).asInstanceOf[Double])))
import org.apache.spark.mllib.evaluation.RegressionMetrics
metrics: org.apache.spark.mllib.evaluation.RegressionMetrics = org.apache.spark.mllib.evaluation.RegressionMetrics@225e9fbb
val rmse = metrics.rootMeanSquaredError
rmse: Double = 4.426730543741229
val explainedVariance = metrics.explainedVariance
explainedVariance: Double = 269.3177257387674
val r2 = metrics.r2
r2: Double = 0.9314313152952859
println (f"Root Mean Squared Error: $rmse")
println (f"Explained Variance: $explainedVariance")  
println (f"R2: $r2")
Root Mean Squared Error: 4.426730543741229
Explained Variance: 269.3177257387674
R2: 0.9314313152952859

Generally a good model will have 68% of predictions within 1 RMSE and 95% within 2 RMSE of the actual value. Let's calculate and see if our RMSE meets this criteria.

display(predictionsAndLabels) // recall the DataFrame predictionsAndLabels
// First we calculate the residual error and divide it by the RMSE from predictionsAndLabels DataFrame and make another DataFrame that is registered as a temporary table Power_Plant_RMSE_Evaluation
predictionsAndLabels.selectExpr("PE", "Predicted_PE", "PE - Predicted_PE AS Residual_Error", s""" (PE - Predicted_PE) / $rmse AS Within_RSME""").createOrReplaceTempView("Power_Plant_RMSE_Evaluation")
SELECT * from Power_Plant_RMSE_Evaluation
PE Predicted_PE Residual_Error Within_RSME
490.34 493.23742177145346 -2.8974217714534802 -0.6545286058917738
482.66 488.93663844862806 -6.276638448628034 -1.417894851879411
489.04 488.2642491377767 0.7757508622233331 0.17524239493640179
489.64 487.6850017397038 1.954998260296179 0.4416348004421164
489.0 487.84320058785806 1.156799412141936 0.26132139752158323
488.03 486.78756854756284 1.2424314524371312 0.28066570579809824
491.9 485.8682911927762 6.031708807223765 1.362565159009226
489.36 485.34119715268844 4.018802847311576 0.9078489886838934
481.47 482.9938172155268 -1.5238172155267762 -0.344230849488058
482.05 482.56483906211207 -0.5148390621120598 -0.11630232674540568
494.75 487.00024243767604 7.749757562323964 1.7506729821811777
482.98 483.34675257798034 -0.36675257798032135 -8.284953745351807e-2
475.34 482.83365300532864 -7.493653005328667 -1.6928188719152182
483.73 483.61453434986964 0.1154656501303748 2.6083731320314243e-2
488.42 484.5318759947065 3.8881240052934913 0.8783285919200003
495.35 487.26575386983336 8.084246130166662 1.8262340683005074
491.32 487.10787889447676 4.212121105523238 0.9515196517842229
486.46 482.0547750131382 4.405224986861754 0.9951418870728689
483.12 483.68809525895665 -0.5680952589566459 -0.12833292050266135
495.23 487.01940772826526 8.210592271734754 1.8547757064959307
479.91 480.1986449575326 -0.2886449575325969 -6.520499828947122e-2
492.12 484.355413676767 7.764586323233004 1.7540228045303168
491.38 483.7973981417882 7.582601858211774 1.7129124493318213
481.56 484.07023605498466 -2.5102360549846594 -0.5670632152060346
491.84 484.0557258406543 7.784274159345671 1.7584702936914771
484.64 483.0334383183447 1.6065616816553074 0.3629228537360962
490.07 483.99520022490054 6.07479977509945 1.372299423936783
478.02 480.0203474136323 -2.000347413632312 -0.4518791902661707
476.61 479.76022567105224 -3.150225671052226 -0.7116370964811038
487.09 483.77988944315933 3.310110556840641 0.7477551488921478
482.82 483.22173492804495 -0.40173492804495936 -9.075206274141889e-2
481.6 480.1171178824092 1.4828821175908047 0.33498359634457314
470.02 482.047812550469 -12.027812550469037 -2.7170871214365335
489.05 481.8132715930524 7.236728406947634 1.6347795140093504
487.03 484.63339497556956 2.3966050244304142 0.5413939250987108
490.57 482.2826790358652 8.287320964134778 1.8721087453248941
488.57 482.86050781997426 5.709492180025734 1.2897763086344047
480.39 483.17821215232357 -2.788212152323581 -0.6298581141934918
481.37 483.0829476732457 -1.7129476732457078 -0.3869554869716598
489.62 482.71830544679347 6.901694553206539 1.5590952476121591
481.13 481.3586268382406 -0.2286268382405865 -5.1646883852877044e-2
485.94 481.4164995749667 4.523500425033319 1.0218603505083248
482.49 482.30375285026366 0.18624714973634582 4.207329718762145e-2
483.77 483.6070229944064 0.16297700559357509 3.6816563371809816e-2
491.77 481.024916434396 10.745083565603977 2.427318188769363
483.43 482.20819442296613 1.2218055770338765 0.2760063132284699
481.49 482.69052441989805 -1.200524419898045 -0.2711988922830229
478.78 480.9741288614049 -2.19412886140492 -0.4956544880526121
492.96 485.85657176943226 7.103428230567715 1.6046669568833274
481.36 483.9924395950768 -2.6324395950767894 -0.5946690382586505
486.68 481.76650494734656 4.913495052653445 1.1099602752194693
484.94 483.0697247196729 1.870275280327121 0.42249584921572103
483.01 481.33834961288636 1.6716503871136297 0.3776264153862057
488.17 483.18839461041057 4.981605389589447 1.1253464244921645
490.41 480.167910698229 10.242089301771045 2.313691606156582
483.11 482.41490386834903 0.6950961316509847 0.1570224626917381
485.89 480.9406822010133 4.9493177989866695 1.1180526463225338
487.08 482.5086450499145 4.571354950085492 1.032670704691692
477.8 480.01746628251476 -2.2174662825147493 -0.5009264197591455
489.96 480.63940670946056 9.32059329053942 2.105525330363155
486.92 483.01084464877744 3.90915535122258 0.8830795804252357
486.37 482.5797273079528 3.7902726920472105 0.8562239455496382
488.2 483.515864024814 4.6841359751859954 1.0581479782655172
479.06 481.66343779511766 -2.6034377951176566 -0.5881175213608946
480.05 484.68450470880424 -4.634504708804229 -1.0469362575855816
487.18 482.82186089035656 4.358139109643446 0.9845051707078124
480.47 481.888024420669 -1.418024420668985 -0.32033221960479863
480.36 480.6306788292835 -0.2706788292834972 -6.1146443545383344e-2
487.85 479.89671820679814 7.9532817932018816 1.7966491781268903
486.11 479.69141160572326 6.418588394276753 1.449961394951344
481.83 481.1970697561752 0.6329302438247737 0.14297916658145085
482.96 482.17217802621497 0.7878219737850145 0.17796926331982943
483.92 481.3074409763506 2.6125590236493963 0.5901780101215298
477.69 479.6499231838063 -1.9599231838063247 -0.442747342409937
474.25 480.7071489556114 -6.4571489556113875 -1.4586722394343345
479.08 479.70246751967267 -0.6224675196726821 -0.1406156334843473
478.89 481.00544489343514 -2.1154448934351535 -0.4778797517789045
483.11 482.3890108435553 0.7209891564447162 0.162871706176942
488.43 481.25646633043834 7.173533669561664 1.620503800418579
483.28 480.33371483717843 2.946285162821539 0.6655668633337463
486.76 482.5311759738767 4.228824026123277 0.9552928474723261
476.58 480.6772110604413 -4.097211060441339 -0.9255614318414334
481.61 482.5325778309449 -0.9225778309448742 -0.20841065925037358
477.8 480.033051046645 -2.2330510466450164 -0.5044470235041152
475.32 479.33241321090156 -4.01241321090157 -0.9064055675524582
475.89 478.24994196854914 -2.359941968549151 -0.5331117277706852
485.03 480.335556547251 4.694443452748999 1.0604764411030796
482.46 479.7315598782726 2.728440121727374 0.6163555912805676
484.57 477.91894784424034 6.651052155759658 1.5024750411256238
483.94 483.4519151987013 0.4880848012987258 0.1102585297378917
482.39 482.344523193014 4.5476806985959684e-2 1.0273226828829113e-2
483.8 478.4576001166274 5.342399883372593 1.2068500286121981
482.22 478.7638216096876 3.4561783903124024 0.7807519242839278
481.52 479.1388800137486 2.381119986251406 0.5378958494815034
483.79 477.1846287648628 6.605371235137227 1.4921557049539163
480.54 476.81117998099046 3.728820019009561 0.8423417649130654
477.27 480.8442435906709 -3.5742435906709034 -0.8074228949228406
474.5 480.13649956917493 -5.63649956917493 -1.2732872519526048
475.52 479.22351270593606 -3.7035127059360775 -0.8366248339132186
481.44 478.9150538893924 2.524946110607573 0.5703862219889325
480.6 476.2108626985999 4.389137301400126 0.9915076732207578
487.19 481.02543213301226 6.164567866987738 1.3925780677352422
475.42 480.36098930984303 -4.940989309843019 -1.1161712376708537
476.22 478.5121049560687 -2.2921049560686697 -0.5177873225894406
485.13 479.57731721621764 5.552682783782359 1.2543530104024667
488.02 484.33140555054166 3.6885944494583214 0.8332547944833625
477.78 478.4450809561198 -0.665080956119823 -0.15024202389281485
477.2 480.5031526805201 -3.3031526805200997 -0.7461833621633669
467.56 479.216941083543 -11.656941083543018 -2.6333071255092055
485.18 477.61463487250904 7.5653651274909635 1.7090186657480926
483.52 478.33312476560263 5.186875234397348 1.1717169552438327
480.21 479.4778900760478 0.73210992395218 0.16538389150143323
478.81 481.48536176156256 -2.675361761562556 -0.6043651708923505
484.67 477.96751548079953 6.702484519200482 1.5140936302700527
477.9 479.6817134321856 -1.7817134321855974 -0.40248969630751263
475.17 477.50500673160894 -2.335006731608928 -0.5274788489013178
485.73 478.3204506384974 7.409549361502627 1.67381982894321
479.91 478.13995557721 1.770044422790022 0.39985366294603464
486.4 479.6503730840347 6.74962691596528 1.5247431144207089
480.15 477.13243295540536 3.017567044594614 0.6816694657100887
480.58 482.82343628916317 -2.243436289163185 -0.5067930534726327
484.07 478.169470130244 5.900529869755985 1.3329317905058622
481.89 480.64379114125165 1.2462088587483322 0.28151902322365097
483.14 478.8928744938183 4.247125506181703 0.9594271583090908
479.31 476.1246111330096 3.1853888669904222 0.7195804749159878
484.21 477.28823577085257 6.9217642291474135 1.563628994525951
476.02 478.3060058047933 -2.2860058047933194 -0.5164095221529597
480.69 478.2957350932858 2.39426490671417 0.5408652916765675
481.91 476.52270993698903 5.387290063010994 1.2169907361151358
485.06 478.99917896902593 6.060821030974068 1.3691416206805749
485.29 480.8674382556005 4.422561744399502 0.9990582667500236
482.39 481.121045370298 1.268954629701966 0.28665730095004055
478.25 478.83543896627515 -0.5854389662751487 -0.1322508701377536
475.79 476.292443939849 -0.5024439398490017 -0.1135022642296099
485.87 479.017884430858 6.852115569142029 1.5478953375262363
479.23 476.458241933477 2.7717580665230344 0.6261411303748561
478.61 480.1903466285652 -1.5803466285651666 -0.3570008639445094
479.94 479.44872675152214 0.49127324847785303 0.11097880108660418
479.25 479.3384367489257 -8.843674892568743e-2 -1.9977892950978116e-2
480.99 477.4418937681193 3.548106231880695 0.8015184563011668
481.07 476.335613607556 4.73438639244398 1.0694995653480046
480.4 482.3769169335783 -1.976916933578309 -0.44658623651114027
482.8 476.0442018293985 6.7557981706015084 1.5261372030319875
480.08 479.653352828527 0.42664717147300735 9.637974736823006e-2
475.0 478.669695167618 -3.669695167617988 -0.8289854400120238
483.88 476.69692642239215 7.183073577607843 1.6226588690300323
482.52 476.90393713153384 5.616062868466145 1.2686705940135579
478.45 479.2188844607779 -0.7688844607778833 -0.1736912724143504
482.3 475.8126128394661 6.487387160533899 1.4655030606518726
472.45 476.2100211409336 -3.7600211409335884 -0.8493901094227944
480.2 480.2141595165957 -1.4159516595725563e-2 -3.198639821379035e-3
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442.82 446.96369987423526 -4.143699874235267 -0.9360632713671432
453.46 456.11949013569995 -2.6594901356999685 -0.6007797649802994
446.2 450.69910348096573 -4.4991034809657435 -1.0163490721898218
443.77 447.07428167616905 -3.3042816761690688 -0.7464384026809258
448.9 447.93156732156143 0.9684326784385462 0.2187692855639865
460.6 459.5396287629999 1.0603712370001404 0.2395382385538138
444.44 450.41539217977504 -5.975392179775042 -1.3498432128929558
445.95 450.20916835758374 -4.2591683575837465 -0.9621476427124321
453.18 450.5270199129546 2.652980087045421 0.5993091426801118
443.46 446.747552050482 -3.28755205048202 -0.7426591743041947
444.64 444.507199619309 0.13280038069098055 2.999965310261351e-2
465.57 459.32651068324674 6.243489316753255 1.410406451230845
446.41 447.6568115900023 -1.2468115900022667 -0.2816551804277046
450.39 454.76275216738793 -4.372752167387944 -0.987806265635571
452.38 454.21851332168194 -1.838513321681944 -0.41532081149175476
445.66 445.39798853968495 0.2620114603150796 5.9188481821087296e-2
444.31 446.51975987000213 -2.209759870002131 -0.4991855384390674
450.95 449.28757124138815 1.6624287586118385 0.37554324623672375
442.02 446.61697690688106 -4.596976906881082 -1.0384587138199675
453.88 452.35263519535005 1.5273648046499488 0.3450322511293186
454.15 453.88291464930387 0.2670853506961066 6.033467545787885e-2
455.22 449.07372918845823 6.146270811541797 1.3884447564200073
446.44 446.2148995417356 0.22510045826442138 5.085027336544837e-2
449.6 453.8663667211942 -4.266366721194174 -0.9637737556052997
457.89 451.01241377116 6.877586228839959 1.553649168586485
446.02 448.5883814092371 -2.5683814092371335 -0.5801982713559247
445.4 449.5097304398742 -4.109730439874227 -0.928389564095968
449.74 448.503305348983 1.2366946510169896 0.27936976032243505
448.31 446.91722060578974 1.3927793942102653 0.31462935917332
458.63 453.8324720669498 4.797527933050219 1.0837632617673658
449.93 453.3060649640138 -3.3760649640137785 -0.7626542728667
452.39 449.0800812223206 3.3099187776793997 0.747711825911599
443.29 445.3619054648025 -2.0719054648024553 -0.46804417940726856
446.22 449.83432112958207 -3.614321129582038 -0.8164764251784371
439.0 444.60209183702807 -5.60209183702807 -1.2655145330561481
452.75 455.3330390953461 -2.5830390953461233 -0.5835094478470516
445.65 450.2809554999446 -4.630955499944605 -1.046134490045282
445.27 449.39422908092763 -4.124229080927648 -0.9316648122526285
451.95 448.7618842842812 3.188115715718766 0.7201964710109384
445.02 449.4952622600192 -4.475262260019235 -1.010963331921484
450.74 449.4914112072881 1.248588792711928 0.2820566511501939
443.93 449.51712426113426 -5.5871242611342495 -1.2621333523527094
445.91 447.26408438944804 -1.354084389448019 -0.30588814387234453
445.71 451.7557366468961 -6.045736646896103 -1.3657340529669058
452.7 449.4776919784881 3.2223080215118785 0.7279205250176717
449.38 448.98079679330425 0.39920320669574494 9.018014599062547e-2
445.09 452.8385186409049 -7.748518640904933 -1.7503931093931713
450.22 448.9907086576164 1.2292913423836467 0.2776973502761967
441.41 448.93146897513117 -7.5214689751311425 -1.699102509359969
462.19 458.191223029991 3.9987769700089757 0.9033251358980232
446.17 449.6590005617063 -3.489000561706291 -0.7881664644438873
444.19 446.5452373588345 -2.355237358834529 -0.532048954767419
453.15 456.31295277561605 -3.162952775616077 -0.7145121539164033
451.49 449.9268730104552 1.5631269895447986 0.353110941381973
453.38 448.035018368965 5.344981631035012 1.2074332463248887
452.1 453.06361431502813 -0.96361431502811 -0.21768081556048727
446.33 449.51211271813503 -3.182112718135045 -0.7188403917275025
452.46 450.67294754488756 1.7870524551124163 0.4036957834804415
444.87 447.9552056621949 -3.0852056621948805 -0.6969490534175217
444.04 448.2666586698021 -4.226658669802077 -0.9548036927113115
449.12 448.6696822105525 0.4503177894475243 0.10172694836468192
443.15 445.71467031907304 -2.564670319073059 -0.5793599347715302
446.84 452.8021698612505 -5.962169861250516 -1.3468562864482865
443.93 446.74436600081026 -2.814366000810253 -0.6357662778434455
455.18 448.49796091182594 6.682039088174065 1.509475000149156
451.88 449.90863388073825 1.971366119261745 0.4453323055881452
458.47 453.53620348431406 4.9337965156859696 1.11454638291948
449.26 451.6024110197605 -2.3424110197605046 -0.5291514802210725
444.16 448.28015134415506 -4.120151344155033 -0.9307436500693146
441.05 445.9401390971127 -4.890139097112694 -1.1046841565784165
447.88 452.51812264484727 -4.638122644847272 -1.047753550620993
444.91 449.0808543549187 -4.170854354918674 -0.9421974781852653
439.01 443.7646779089382 -4.75467790893822 -1.0740834261214887
453.17 449.2796285666693 3.8903714333306993 0.8788362867107722
-- Now we can display the RMSE as a Histogram. Clearly this shows that the RMSE is centered around 0 with the vast majority of the error within 2 RMSEs.
SELECT Within_RSME  from Power_Plant_RMSE_Evaluation
Within_RSME
-0.6545286058914855
-1.4178948518800556
0.17524239493619823
0.44163480044197995
0.26132139752130357
0.28066570579802425
1.3625651590092023
0.9078489886839033
-0.3442308494884213
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1.7506729821805804
-8.284953745386567e-2
-1.692818871916148
2.608373132048146e-2
0.8783285919200484
1.8262340682999108
0.9515196517846441
0.9951418870719423
-0.12833292050229034
1.8547757064958097
-6.520499829010114e-2
1.7540228045303743
1.712912449331917
-0.567063215206105
1.758470293691663
0.36292285373571487
1.3722994239368362
-0.4518791902667791
-0.711637096481805
0.7477551488923485
-9.075206274161249e-2
0.33498359634397323
-2.717087121436152
1.6347795140090344
0.5413939250993844
1.8721087453250556
1.2897763086344445
-0.6298581141929721
-0.3869554869711247
1.5590952476122018
-5.164688385271067e-2
1.021860350507925
4.2073297187840204e-2
3.6816563372465104e-2
2.4273181887690556
0.2760063132279849
-0.2711988922825122
-0.49565448805243767
1.6046669568831393
-0.5946690382578993
1.1099602752189677
0.42249584921569994
0.3776264153858503
1.1253464244922151
2.313691606156222
0.15702246269194528
1.1180526463224945
1.0326707046913566
-0.5009264197587914
2.1055253303633577
0.883079580425271
0.8562239455498787
1.0581479782654901
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0.9845051707078616
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1.7966491781271794
1.449961394951398
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0.11025852973791857
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1.2068500286116204
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1.4921557049542535
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1.5140936302699408
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1.673819828943716
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0.681669465709775
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1.3329317905059794
0.2815190232236669
0.9594271583094607
0.7195804749163808
1.563628994525865
-0.5164095221527084
0.5408652916763936
1.2169907361146226
1.3691416206809235
0.9990582667496749
0.2866573009496584
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1.5478953375265612
0.6261411303745675
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0.11097880108736301
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0.8015184563019332
1.0694995653480546
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1.5261372030315674
9.637974736911713e-2
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1.6226588690300885
1.2686705940133918
-0.17369127241360752
1.465503060651426
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0.775250166241454
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1.6164395333609067
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-2.0719934236347326
6.689462100697262e-2
0.41987991622217147
1.5698655082870474
0.9108140262190783
1.4283829990671366
-0.7468033961054397
1.8565224554443056e-2
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0.1268789228414677
1.2467256943415417
0.9532625827884375
1.858427070746631
3.080438049074982
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1.5352270267793358
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1.0796607821279804
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0.271857163937664
1.4407225588170043
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0.4048751439362759
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0.9392995195813987
0.3512225476325008
1.3510289270963245e-2
1.214207255223955
1.357197397311141
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1.1957383378087658
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0.12841983400410018
2.6901995797195863e-2
0.6811317532938489
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0.3021002532054435
6.309664277182285e-2
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0.23847593115995214
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1.487015909020143
1.4770822031817277e-2
1.5464079765310332
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0.7258131397464832
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1.761740374853143
0.756705284425051
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1.4096765924648265
0.6164656679054759
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1.3665650089641064
1.746749569478921
0.20876984487810568
1.2521345827220822
0.5034033523179731
0.2428222722587704
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0.8816626861116392
0.3639355749527803
0.529553624374745
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1.1483434385624023
1.7878124840322416
1.1154300586630213
1.7220135063654567
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2.6840159315323495
1.4048914641301884
1.048062749037262
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2.305613395286325
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1.3994718175237673
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1.5499716375563712
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1.0232860206712358
7.648152721354506e-2
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We can see this definitively if we count the number of predictions within + or - 1.0 and + or - 2.0 and display this as a pie chart:

SELECT case when Within_RSME <= 1.0 and Within_RSME >= -1.0 then 1  when  Within_RSME <= 2.0 and Within_RSME >= -2.0 then 2 else 3 end RSME_Multiple, COUNT(*) count  from Power_Plant_RMSE_Evaluation
group by case when Within_RSME <= 1.0 and Within_RSME >= -1.0 then 1  when  Within_RSME <= 2.0 and Within_RSME >= -2.0 then 2 else 3 end
RSME_Multiple count
1.0 1267.0
3.0 77.0
2.0 512.0

So we have about 70% of our training data within 1 RMSE and about 97% (70% + 27%) within 2 RMSE. So the model is pretty decent. Let's see if we can tune the model to improve it further.

NOTE: these numbers will vary across runs due to the seed in random sampling of training and test set, number of iterations, and other stopping rules in optimization, for example.

Step 7: Tuning and Evaluation

Now that we have a model with all of the data let's try to make a better model by tuning over several parameters.

import org.apache.spark.ml.tuning.{ParamGridBuilder, CrossValidator}
import org.apache.spark.ml.evaluation._
import org.apache.spark.ml.tuning.{ParamGridBuilder, CrossValidator}
import org.apache.spark.ml.evaluation._

First let's use a cross validator to split the data into training and validation subsets. See http://spark.apache.org/docs/latest/ml-tuning.html.

//Let's set up our evaluator class to judge the model based on the best root mean squared error
val regEval = new RegressionEvaluator()
regEval.setLabelCol("PE")
  .setPredictionCol("Predicted_PE")
  .setMetricName("rmse")
regEval: org.apache.spark.ml.evaluation.RegressionEvaluator = RegressionEvaluator: uid=regEval_3679d6d8cb8b, metricName=rmse, throughOrigin=false
res40: regEval.type = RegressionEvaluator: uid=regEval_3679d6d8cb8b, metricName=rmse, throughOrigin=false

We now treat the lrPipeline as an Estimator, wrapping it in a CrossValidator instance.

This will allow us to jointly choose parameters for all Pipeline stages.

A CrossValidator requires an Estimator, an Evaluator (which we set next).

//Let's create our crossvalidator with 3 fold cross validation
val crossval = new CrossValidator()
crossval.setEstimator(lrPipeline)
crossval.setNumFolds(3)
crossval.setEvaluator(regEval)
crossval: org.apache.spark.ml.tuning.CrossValidator = cv_3b91131c250a
res41: crossval.type = cv_3b91131c250a

A CrossValidator also requires a set of EstimatorParamMaps which we set next.

For this we need a regularization parameter (more generally a hyper-parameter that is model-specific).

Now, let's tune over our regularization parameter from 0.01 to 0.10.

val regParam = ((1 to 10) toArray).map(x => (x /100.0))
warning: one feature warning; for details, enable `:setting -feature' or `:replay -feature'
regParam: Array[Double] = Array(0.01, 0.02, 0.03, 0.04, 0.05, 0.06, 0.07, 0.08, 0.09, 0.1)

Check out the scala docs for syntactic details on org.apache.spark.ml.tuning.ParamGridBuilder.

val paramGrid = new ParamGridBuilder()
                    .addGrid(lr.regParam, regParam)
                    .build()
crossval.setEstimatorParamMaps(paramGrid)
paramGrid: Array[org.apache.spark.ml.param.ParamMap] =
Array({
	linReg_96951eb5ad16-regParam: 0.01
}, {
	linReg_96951eb5ad16-regParam: 0.02
}, {
	linReg_96951eb5ad16-regParam: 0.03
}, {
	linReg_96951eb5ad16-regParam: 0.04
}, {
	linReg_96951eb5ad16-regParam: 0.05
}, {
	linReg_96951eb5ad16-regParam: 0.06
}, {
	linReg_96951eb5ad16-regParam: 0.07
}, {
	linReg_96951eb5ad16-regParam: 0.08
}, {
	linReg_96951eb5ad16-regParam: 0.09
}, {
	linReg_96951eb5ad16-regParam: 0.1
})
res42: crossval.type = cv_3b91131c250a
//Now let's create our model
val cvModel = crossval.fit(trainingSet)
cvModel: org.apache.spark.ml.tuning.CrossValidatorModel = CrossValidatorModel: uid=cv_3b91131c250a, bestModel=pipeline_1fbeea3a78d7, numFolds=3

In addition to CrossValidator Spark also offers TrainValidationSplit for hyper-parameter tuning. TrainValidationSplit only evaluates each combination of parameters once as opposed to k times in case of CrossValidator. It is therefore less expensive, but will not produce as reliable results when the training dataset is not sufficiently large.

Now that we have tuned let's see what we got for tuning parameters and what our RMSE was versus our intial model

val predictionsAndLabels = cvModel.transform(testSet)
val metrics = new RegressionMetrics(predictionsAndLabels.select("Predicted_PE", "PE").rdd.map(r => (r(0).asInstanceOf[Double], r(1).asInstanceOf[Double])))

val rmse = metrics.rootMeanSquaredError
val explainedVariance = metrics.explainedVariance
val r2 = metrics.r2
predictionsAndLabels: org.apache.spark.sql.DataFrame = [AT: double, V: double ... 5 more fields]
metrics: org.apache.spark.mllib.evaluation.RegressionMetrics = org.apache.spark.mllib.evaluation.RegressionMetrics@671c9416
rmse: Double = 4.4286032895695895
explainedVariance: Double = 271.5750243564875
r2: Double = 0.9313732865178349
println (f"Root Mean Squared Error: $rmse")
println (f"Explained Variance: $explainedVariance")  
println (f"R2: $r2")
Root Mean Squared Error: 4.4286032895695895
Explained Variance: 271.5750243564875
R2: 0.9313732865178349

So our initial untuned and tuned linear regression models are statistically identical.

Given that the only linearly correlated variable is Temperature, it makes sense try another machine learning method such a Decision Tree to handle non-linear data and see if we can improve our model

A Decision Tree creates a model based on splitting variables using a tree structure. We will first start with a single decision tree model.

Reference Decision Trees: https://en.wikipedia.org/wiki/Decisiontreelearning

//Let's build a decision tree pipeline
import org.apache.spark.ml.regression.DecisionTreeRegressor

// we are using a Decision Tree Regressor as opposed to a classifier we used for the hand-written digit classification problem
val dt = new DecisionTreeRegressor()
dt.setLabelCol("PE")
dt.setPredictionCol("Predicted_PE")
dt.setFeaturesCol("features")
dt.setMaxBins(100)

val dtPipeline = new Pipeline()
dtPipeline.setStages(Array(vectorizer, dt))
import org.apache.spark.ml.regression.DecisionTreeRegressor
dt: org.apache.spark.ml.regression.DecisionTreeRegressor = dtr_92691f930484
dtPipeline: org.apache.spark.ml.Pipeline = pipeline_ddfeb1cfff04
res106: dtPipeline.type = pipeline_ddfeb1cfff04
//Let's just resuse our CrossValidator
crossval.setEstimator(dtPipeline)
res107: crossval.type = cv_bc136566b6a6
val paramGrid = new ParamGridBuilder()
                     .addGrid(dt.maxDepth, Array(2, 3))
                     .build()
paramGrid: Array[org.apache.spark.ml.param.ParamMap] =
Array({
	dtr_92691f930484-maxDepth: 2
}, {
	dtr_92691f930484-maxDepth: 3
})
crossval.setEstimatorParamMaps(paramGrid)
res108: crossval.type = cv_bc136566b6a6
val dtModel = crossval.fit(trainingSet) // fit decitionTree with cv
dtModel: org.apache.spark.ml.tuning.CrossValidatorModel = CrossValidatorModel: uid=cv_bc136566b6a6, bestModel=pipeline_ddfeb1cfff04, numFolds=3
import org.apache.spark.ml.regression.DecisionTreeRegressionModel
import org.apache.spark.ml.PipelineModel
dtModel.bestModel.asInstanceOf[PipelineModel].stages.last.asInstanceOf[DecisionTreeRegressionModel].toDebugString
import org.apache.spark.ml.regression.DecisionTreeRegressionModel
import org.apache.spark.ml.PipelineModel
res109: String =
"DecisionTreeRegressionModel: uid=dtr_92691f930484, depth=3, numNodes=15, numFeatures=4
  If (feature 0 <= 18.595)
   If (feature 0 <= 11.885000000000002)
    If (feature 0 <= 8.575)
     Predict: 483.994943457189
    Else (feature 0 > 8.575)
     Predict: 476.04374262101527
   Else (feature 0 > 11.885000000000002)
    If (feature 0 <= 15.475000000000001)
     Predict: 467.5564649956784
    Else (feature 0 > 15.475000000000001)
     Predict: 459.5010376134889
  Else (feature 0 > 18.595)
   If (feature 1 <= 66.21000000000001)
    If (feature 0 <= 22.055)
     Predict: 452.01076923076914
    Else (feature 0 > 22.055)
     Predict: 443.46937926330156
   Else (feature 1 > 66.21000000000001)
    If (feature 0 <= 25.325)
     Predict: 440.73731707317074
    Else (feature 0 > 25.325)
     Predict: 433.86131215469624
"

The line above will pull the Decision Tree model from the Pipeline and display it as an if-then-else string.

Next let's visualize it as a decision tree for regression.

display(dtModel.bestModel.asInstanceOf[PipelineModel].stages.last.asInstanceOf[DecisionTreeRegressionModel])
treeNode
{"index":7,"featureType":"continuous","prediction":null,"threshold":18.595,"categories":null,"feature":0,"overflow":false}
{"index":3,"featureType":"continuous","prediction":null,"threshold":11.885000000000002,"categories":null,"feature":0,"overflow":false}
{"index":1,"featureType":"continuous","prediction":null,"threshold":8.575,"categories":null,"feature":0,"overflow":false}
{"index":0,"featureType":null,"prediction":483.994943457189,"threshold":null,"categories":null,"feature":null,"overflow":false}
{"index":2,"featureType":null,"prediction":476.04374262101527,"threshold":null,"categories":null,"feature":null,"overflow":false}
{"index":5,"featureType":"continuous","prediction":null,"threshold":15.475000000000001,"categories":null,"feature":0,"overflow":false}
{"index":4,"featureType":null,"prediction":467.5564649956784,"threshold":null,"categories":null,"feature":null,"overflow":false}
{"index":6,"featureType":null,"prediction":459.5010376134889,"threshold":null,"categories":null,"feature":null,"overflow":false}
{"index":11,"featureType":"continuous","prediction":null,"threshold":66.21000000000001,"categories":null,"feature":1,"overflow":false}
{"index":9,"featureType":"continuous","prediction":null,"threshold":22.055,"categories":null,"feature":0,"overflow":false}
{"index":8,"featureType":null,"prediction":452.01076923076914,"threshold":null,"categories":null,"feature":null,"overflow":false}
{"index":10,"featureType":null,"prediction":443.46937926330156,"threshold":null,"categories":null,"feature":null,"overflow":false}
{"index":13,"featureType":"continuous","prediction":null,"threshold":25.325,"categories":null,"feature":0,"overflow":false}
{"index":12,"featureType":null,"prediction":440.73731707317074,"threshold":null,"categories":null,"feature":null,"overflow":false}
{"index":14,"featureType":null,"prediction":433.86131215469624,"threshold":null,"categories":null,"feature":null,"overflow":false}

Now let's see how our DecisionTree model compares to our LinearRegression model

val predictionsAndLabels = dtModel.bestModel.transform(testSet)
val metrics = new RegressionMetrics(predictionsAndLabels.select("Predicted_PE", "PE").map(r => (r(0).asInstanceOf[Double], r(1).asInstanceOf[Double])).rdd)

val rmse = metrics.rootMeanSquaredError
val explainedVariance = metrics.explainedVariance
val r2 = metrics.r2

println (f"Root Mean Squared Error: $rmse")
println (f"Explained Variance: $explainedVariance")  
println (f"R2: $r2")
Root Mean Squared Error: 5.111944542729953
Explained Variance: 261.4355220034205
R2: 0.908560906504635
predictionsAndLabels: org.apache.spark.sql.DataFrame = [AT: double, V: double ... 5 more fields]
metrics: org.apache.spark.mllib.evaluation.RegressionMetrics = org.apache.spark.mllib.evaluation.RegressionMetrics@684c4c50
rmse: Double = 5.111944542729953
explainedVariance: Double = 261.4355220034205
r2: Double = 0.908560906504635

So our DecisionTree was slightly worse than our LinearRegression model (LR: 4.6 vs DT: 5.2). Maybe we can try an Ensemble method such as Gradient-Boosted Decision Trees to see if we can strengthen our model by using an ensemble of weaker trees with weighting to reduce the error in our model.

*Note since this is a complex model, the cell below can take about *16 minutes* or so to run on a small cluster with a couple nodes with about 6GB RAM, go out and grab a coffee and come back :-).*

This GBTRegressor code will be way faster on a larger cluster of course.

A visual explanation of gradient boosted trees:

Let's see what a boosting algorithm, a type of ensemble method, is all about in more detail.

import org.apache.spark.ml.regression.GBTRegressor

val gbt = new GBTRegressor()
gbt.setLabelCol("PE")
gbt.setPredictionCol("Predicted_PE")
gbt.setFeaturesCol("features")
gbt.setSeed(100088121L)
gbt.setMaxBins(100)
gbt.setMaxIter(120)

val gbtPipeline = new Pipeline()
gbtPipeline.setStages(Array(vectorizer, gbt))
//Let's just resuse our CrossValidator

crossval.setEstimator(gbtPipeline)

val paramGrid = new ParamGridBuilder()
  .addGrid(gbt.maxDepth, Array(2, 3))
  .build()
crossval.setEstimatorParamMaps(paramGrid)

//gbt.explainParams
val gbtModel = crossval.fit(trainingSet)
import org.apache.spark.ml.regression.GBTRegressor
gbt: org.apache.spark.ml.regression.GBTRegressor = gbtr_0a275b363831
gbtPipeline: org.apache.spark.ml.Pipeline = pipeline_8b2722444cff
paramGrid: Array[org.apache.spark.ml.param.ParamMap] =
Array({
	gbtr_0a275b363831-maxDepth: 2
}, {
	gbtr_0a275b363831-maxDepth: 3
})
gbtModel: org.apache.spark.ml.tuning.CrossValidatorModel = CrossValidatorModel: uid=cv_bc136566b6a6, bestModel=pipeline_8b2722444cff, numFolds=3
import org.apache.spark.ml.regression.GBTRegressionModel 

val predictionsAndLabels = gbtModel.bestModel.transform(testSet)
val metrics = new RegressionMetrics(predictionsAndLabels.select("Predicted_PE", "PE").map(r => (r(0).asInstanceOf[Double], r(1).asInstanceOf[Double])).rdd)

val rmse = metrics.rootMeanSquaredError
val explainedVariance = metrics.explainedVariance
val r2 = metrics.r2


println (f"Root Mean Squared Error: $rmse")
println (f"Explained Variance: $explainedVariance")  
println (f"R2: $r2")
Root Mean Squared Error: 3.7034735091301307
Explained Variance: 272.208177448154
R2: 0.9520069744321176
import org.apache.spark.ml.regression.GBTRegressionModel
predictionsAndLabels: org.apache.spark.sql.DataFrame = [AT: double, V: double ... 5 more fields]
metrics: org.apache.spark.mllib.evaluation.RegressionMetrics = org.apache.spark.mllib.evaluation.RegressionMetrics@79d7946a
rmse: Double = 3.7034735091301307
explainedVariance: Double = 272.208177448154
r2: Double = 0.9520069744321176

We can use the toDebugString method to dump out what our trees and weighting look like:

gbtModel.bestModel.asInstanceOf[PipelineModel].stages.last.asInstanceOf[GBTRegressionModel].toDebugString
res116: String =
"GBTRegressionModel: uid=gbtr_0a275b363831, numTrees=120, numFeatures=4
  Tree 0 (weight 1.0):
    If (feature 0 <= 18.595)
     If (feature 0 <= 11.885000000000002)
      If (feature 0 <= 8.575)
       Predict: 483.994943457189
      Else (feature 0 > 8.575)
       Predict: 476.04374262101527
     Else (feature 0 > 11.885000000000002)
      If (feature 0 <= 15.475000000000001)
       Predict: 467.5564649956784
      Else (feature 0 > 15.475000000000001)
       Predict: 459.5010376134889
    Else (feature 0 > 18.595)
     If (feature 1 <= 66.21000000000001)
      If (feature 0 <= 22.055)
       Predict: 452.01076923076914
      Else (feature 0 > 22.055)
       Predict: 443.46937926330156
     Else (feature 1 > 66.21000000000001)
      If (feature 0 <= 25.325)
       Predict: 440.73731707317074
      Else (feature 0 > 25.325)
       Predict: 433.86131215469624
  Tree 1 (weight 0.1):
    If (feature 3 <= 82.55000000000001)
     If (feature 0 <= 26.505000000000003)
      If (feature 3 <= 64.11500000000001)
       Predict: 6.095232469256877
      Else (feature 3 > 64.11500000000001)
       Predict: 1.4337156041793564
     Else (feature 0 > 26.505000000000003)
      If (feature 1 <= 65.55000000000001)
       Predict: -7.6527692217902885
      Else (feature 1 > 65.55000000000001)
       Predict: -0.5844786594493007
    Else (feature 3 > 82.55000000000001)
     If (feature 1 <= 45.754999999999995)
      If (feature 3 <= 93.075)
       Predict: 0.6108402960070604
      Else (feature 3 > 93.075)
       Predict: -3.913147108789527
     Else (feature 1 > 45.754999999999995)
      If (feature 0 <= 18.595)
       Predict: -9.443118256805649
      Else (feature 0 > 18.595)
       Predict: -3.9650066253122347
  Tree 2 (weight 0.1):
    If (feature 1 <= 45.754999999999995)
     If (feature 0 <= 15.475000000000001)
      If (feature 0 <= 14.285)
       Predict: 1.1090321642566017
      Else (feature 0 > 14.285)
       Predict: -3.898383406004269
     Else (feature 0 > 15.475000000000001)
      If (feature 0 <= 18.595)
       Predict: 4.874047316205584
      Else (feature 0 > 18.595)
       Predict: 10.653531335032094
    Else (feature 1 > 45.754999999999995)
     If (feature 0 <= 18.595)
      If (feature 1 <= 58.19)
       Predict: -5.0005796708960615
      Else (feature 1 > 58.19)
       Predict: -13.749053154552547
     Else (feature 0 > 18.595)
      If (feature 2 <= 1009.295)
       Predict: -3.1410617295379555
      Else (feature 2 > 1009.295)
       Predict: 0.8001319329379373
  Tree 3 (weight 0.1):
    If (feature 3 <= 85.52000000000001)
     If (feature 1 <= 55.825)
      If (feature 0 <= 26.505000000000003)
       Predict: 2.695149105254423
      Else (feature 0 > 26.505000000000003)
       Predict: -6.7564705067621675
     Else (feature 1 > 55.825)
      If (feature 1 <= 66.21000000000001)
       Predict: -2.282355645191304
      Else (feature 1 > 66.21000000000001)
       Predict: 0.5508297910243797
    Else (feature 3 > 85.52000000000001)
     If (feature 1 <= 40.629999999999995)
      If (feature 2 <= 1022.8399999999999)
       Predict: 2.236331037122985
      Else (feature 2 > 1022.8399999999999)
       Predict: -7.220151471077029
     Else (feature 1 > 40.629999999999995)
      If (feature 3 <= 89.595)
       Predict: -2.175085332960937
      Else (feature 3 > 89.595)
       Predict: -4.54715329410012
  Tree 4 (weight 0.1):
    If (feature 2 <= 1010.335)
     If (feature 1 <= 43.005)
      If (feature 0 <= 15.475000000000001)
       Predict: -0.004818717215773318
      Else (feature 0 > 15.475000000000001)
       Predict: 5.355639866401019
     Else (feature 1 > 43.005)
      If (feature 1 <= 65.15)
       Predict: -5.132340755716604
      Else (feature 1 > 65.15)
       Predict: -0.7228608840382099
    Else (feature 2 > 1010.335)
     If (feature 3 <= 74.525)
      If (feature 0 <= 29.455)
       Predict: 3.0313483965828176
      Else (feature 0 > 29.455)
       Predict: -2.560863167947768
     Else (feature 3 > 74.525)
      If (feature 1 <= 40.629999999999995)
       Predict: 2.228142113797423
      Else (feature 1 > 40.629999999999995)
       Predict: -1.6052323952407273
  Tree 5 (weight 0.1):
    If (feature 3 <= 81.045)
     If (feature 0 <= 27.585)
      If (feature 3 <= 46.92)
       Predict: 8.005444802948366
      Else (feature 3 > 46.92)
       Predict: 1.301219291279602
     Else (feature 0 > 27.585)
      If (feature 1 <= 65.55000000000001)
       Predict: -6.568175152421089
      Else (feature 1 > 65.55000000000001)
       Predict: -0.8331220915230161
    Else (feature 3 > 81.045)
     If (feature 1 <= 41.519999999999996)
      If (feature 2 <= 1019.835)
       Predict: 1.7054425589091675
      Else (feature 2 > 1019.835)
       Predict: -2.6266728146418195
     Else (feature 1 > 41.519999999999996)
      If (feature 1 <= 41.805)
       Predict: -11.130585327952137
      Else (feature 1 > 41.805)
       Predict: -2.111742422947989
  Tree 6 (weight 0.1):
    If (feature 2 <= 1009.625)
     If (feature 1 <= 43.005)
      If (feature 0 <= 15.475000000000001)
       Predict: -0.4497329015715072
      Else (feature 0 > 15.475000000000001)
       Predict: 3.661440765591046
     Else (feature 1 > 43.005)
      If (feature 1 <= 66.85499999999999)
       Predict: -3.861085082339984
      Else (feature 1 > 66.85499999999999)
       Predict: -0.7492674320362704
    Else (feature 2 > 1009.625)
     If (feature 3 <= 69.32499999999999)
      If (feature 0 <= 29.455)
       Predict: 2.621042446270476
      Else (feature 0 > 29.455)
       Predict: -1.4554021183385886
     Else (feature 3 > 69.32499999999999)
      If (feature 1 <= 58.19)
       Predict: 0.42605173456002876
      Else (feature 1 > 58.19)
       Predict: -1.9554878629891888
  Tree 7 (weight 0.1):
    If (feature 3 <= 86.625)
     If (feature 1 <= 52.795)
      If (feature 0 <= 18.595)
       Predict: 0.4988124937300424
      Else (feature 0 > 18.595)
       Predict: 4.447321094438702
     Else (feature 1 > 52.795)
      If (feature 1 <= 66.21000000000001)
       Predict: -1.721618872277871
      Else (feature 1 > 66.21000000000001)
       Predict: 0.6365209437219329
    Else (feature 3 > 86.625)
     If (feature 0 <= 6.895)
      If (feature 3 <= 87.32499999999999)
       Predict: -10.224737687790185
      Else (feature 3 > 87.32499999999999)
       Predict: 3.712660431036073
     Else (feature 0 > 6.895)
      If (feature 0 <= 8.575)
       Predict: -7.105091794629204
      Else (feature 0 > 8.575)
       Predict: -1.5060749360589718
  Tree 8 (weight 0.1):
    If (feature 2 <= 1008.745)
     If (feature 1 <= 41.665)
      If (feature 0 <= 15.475000000000001)
       Predict: 0.11492519898093705
      Else (feature 0 > 15.475000000000001)
       Predict: 3.532699993937119
     Else (feature 1 > 41.665)
      If (feature 1 <= 66.85499999999999)
       Predict: -3.366654434213031
      Else (feature 1 > 66.85499999999999)
       Predict: -0.9165259817521934
    Else (feature 2 > 1008.745)
     If (feature 3 <= 82.955)
      If (feature 1 <= 51.905)
       Predict: 1.841638760642105
      Else (feature 1 > 51.905)
       Predict: 0.33265178659776373
     Else (feature 3 > 82.955)
      If (feature 3 <= 95.68)
       Predict: -0.4850135884105616
      Else (feature 3 > 95.68)
       Predict: -3.812639024859598
  Tree 9 (weight 0.1):
    If (feature 0 <= 29.455)
     If (feature 3 <= 61.89)
      If (feature 1 <= 71.18)
       Predict: 1.9301726185107941
      Else (feature 1 > 71.18)
       Predict: 8.938327477606107
     Else (feature 3 > 61.89)
      If (feature 0 <= 5.8149999999999995)
       Predict: 4.428862111265314
      Else (feature 0 > 5.8149999999999995)
       Predict: -0.3308347482908286
    Else (feature 0 > 29.455)
     If (feature 1 <= 68.28999999999999)
      If (feature 2 <= 1009.875)
       Predict: -8.941194411728706
      Else (feature 2 > 1009.875)
       Predict: -1.8834474815204216
     Else (feature 1 > 68.28999999999999)
      If (feature 2 <= 1014.405)
       Predict: -0.5760094442636617
      Else (feature 2 > 1014.405)
       Predict: -5.50575933697771
  Tree 10 (weight 0.1):
    If (feature 2 <= 1005.345)
     If (feature 0 <= 27.355)
      If (feature 3 <= 99.3)
       Predict: -0.5544332197918127
      Else (feature 3 > 99.3)
       Predict: -6.049841121821514
     Else (feature 0 > 27.355)
      If (feature 1 <= 70.815)
       Predict: -8.03479585317622
      Else (feature 1 > 70.815)
       Predict: 0.0619269945107018
    Else (feature 2 > 1005.345)
     If (feature 3 <= 72.41499999999999)
      If (feature 0 <= 24.755000000000003)
       Predict: 2.020104454165069
      Else (feature 0 > 24.755000000000003)
       Predict: -0.22964512858748945
     Else (feature 3 > 72.41499999999999)
      If (feature 1 <= 40.7)
       Predict: 1.2987210163143512
      Else (feature 1 > 40.7)
       Predict: -0.8347660227231797
  Tree 11 (weight 0.1):
    If (feature 0 <= 5.0600000000000005)
     If (feature 1 <= 42.3)
      If (feature 1 <= 39.765)
       Predict: 4.261094449524424
      Else (feature 1 > 39.765)
       Predict: 9.140536590115639
     Else (feature 1 > 42.3)
      If (feature 2 <= 1007.835)
       Predict: 0.9746298984436711
      Else (feature 2 > 1007.835)
       Predict: -6.317973546286112
    Else (feature 0 > 5.0600000000000005)
     If (feature 3 <= 95.68)
      If (feature 2 <= 1009.295)
       Predict: -0.8626626541525325
      Else (feature 2 > 1009.295)
       Predict: 0.3906915507169364
     Else (feature 3 > 95.68)
      If (feature 0 <= 11.885000000000002)
       Predict: -6.002679638413293
      Else (feature 0 > 11.885000000000002)
       Predict: -0.7509189525586508
  Tree 12 (weight 0.1):
    If (feature 0 <= 18.595)
     If (feature 1 <= 51.905)
      If (feature 0 <= 13.695)
       Predict: 0.5958576966099496
      Else (feature 0 > 13.695)
       Predict: -1.2694566117501789
     Else (feature 1 > 51.905)
      If (feature 1 <= 58.19)
       Predict: -4.248373100253223
      Else (feature 1 > 58.19)
       Predict: -9.144729000689791
    Else (feature 0 > 18.595)
     If (feature 1 <= 47.64)
      If (feature 2 <= 1012.675)
       Predict: 0.8560563666774771
      Else (feature 2 > 1012.675)
       Predict: 10.801233083620462
     Else (feature 1 > 47.64)
      If (feature 0 <= 20.015)
       Predict: 3.1978561830060213
      Else (feature 0 > 20.015)
       Predict: -0.16716555702980626
  Tree 13 (weight 0.1):
    If (feature 0 <= 28.655)
     If (feature 1 <= 66.21000000000001)
      If (feature 1 <= 58.19)
       Predict: 0.34765099851241454
      Else (feature 1 > 58.19)
       Predict: -1.8189329025195076
     Else (feature 1 > 66.21000000000001)
      If (feature 0 <= 22.525)
       Predict: 6.490484815153365
      Else (feature 0 > 22.525)
       Predict: 0.7933381751314565
    Else (feature 0 > 28.655)
     If (feature 1 <= 68.28999999999999)
      If (feature 2 <= 1005.665)
       Predict: -8.922459399148678
      Else (feature 2 > 1005.665)
       Predict: -2.3989441108132668
     Else (feature 1 > 68.28999999999999)
      If (feature 2 <= 1018.215)
       Predict: -0.3023338438804105
      Else (feature 2 > 1018.215)
       Predict: 14.559949112833806
  Tree 14 (weight 0.1):
    If (feature 0 <= 15.475000000000001)
     If (feature 0 <= 13.695)
      If (feature 0 <= 11.885000000000002)
       Predict: -0.8897676968273979
      Else (feature 0 > 11.885000000000002)
       Predict: 3.5874467728768487
     Else (feature 0 > 13.695)
      If (feature 1 <= 46.345)
       Predict: -3.2690852418064273
      Else (feature 1 > 46.345)
       Predict: -8.844433418899179
    Else (feature 0 > 15.475000000000001)
     If (feature 1 <= 43.175)
      If (feature 1 <= 41.805)
       Predict: 3.298855216614116
      Else (feature 1 > 41.805)
       Predict: 9.150659154207167
     Else (feature 1 > 43.175)
      If (feature 2 <= 1012.495)
       Predict: -0.7109832273625656
      Else (feature 2 > 1012.495)
       Predict: 1.1631179843236674
  Tree 15 (weight 0.1):
    If (feature 3 <= 90.055)
     If (feature 0 <= 30.41)
      If (feature 1 <= 66.21000000000001)
       Predict: -0.01732155577258642
      Else (feature 1 > 66.21000000000001)
       Predict: 1.3432966941310502
     Else (feature 0 > 30.41)
      If (feature 1 <= 69.465)
       Predict: -3.6657811330207344
      Else (feature 1 > 69.465)
       Predict: -0.38803561342243853
    Else (feature 3 > 90.055)
     If (feature 2 <= 1015.725)
      If (feature 1 <= 47.64)
       Predict: 1.5063080039677825
      Else (feature 1 > 47.64)
       Predict: -1.860635777865782
     Else (feature 2 > 1015.725)
      If (feature 1 <= 40.7)
       Predict: 0.21921885078759318
      Else (feature 1 > 40.7)
       Predict: -4.793242614118129
  Tree 16 (weight 0.1):
    If (feature 0 <= 6.895)
     If (feature 3 <= 67.42500000000001)
      If (feature 1 <= 39.620000000000005)
       Predict: -1.8477082180199003
      Else (feature 1 > 39.620000000000005)
       Predict: 16.387935166882745
     Else (feature 3 > 67.42500000000001)
      If (feature 0 <= 5.0600000000000005)
       Predict: 4.152127693563297
      Else (feature 0 > 5.0600000000000005)
       Predict: 0.7556214745509566
    Else (feature 0 > 6.895)
     If (feature 0 <= 8.575)
      If (feature 2 <= 1022.8399999999999)
       Predict: -2.9436476590152036
      Else (feature 2 > 1022.8399999999999)
       Predict: -8.032234733606465
     Else (feature 0 > 8.575)
      If (feature 0 <= 9.325)
       Predict: 5.082738415532321
      Else (feature 0 > 9.325)
       Predict: -0.032287806549855816
  Tree 17 (weight 0.1):
    If (feature 3 <= 61.89)
     If (feature 0 <= 28.655)
      If (feature 0 <= 11.885000000000002)
       Predict: -4.455566502931916
      Else (feature 0 > 11.885000000000002)
       Predict: 1.9027943448616742
     Else (feature 0 > 28.655)
      If (feature 1 <= 66.21000000000001)
       Predict: -3.1810487244675034
      Else (feature 1 > 66.21000000000001)
       Predict: 0.11525363261816625
    Else (feature 3 > 61.89)
     If (feature 1 <= 43.175)
      If (feature 0 <= 18.595)
       Predict: 0.22262511130066664
      Else (feature 0 > 18.595)
       Predict: 10.13639446335034
     Else (feature 1 > 43.175)
      If (feature 0 <= 22.055)
       Predict: -1.4775024201129299
      Else (feature 0 > 22.055)
       Predict: 0.20591189539330298
  Tree 18 (weight 0.1):
    If (feature 2 <= 1005.345)
     If (feature 1 <= 70.815)
      If (feature 0 <= 23.564999999999998)
       Predict: -0.178777362918765
      Else (feature 0 > 23.564999999999998)
       Predict: -4.52113806132068
     Else (feature 1 > 70.815)
      If (feature 3 <= 60.025000000000006)
       Predict: 4.247605743793766
      Else (feature 3 > 60.025000000000006)
       Predict: -0.26865379510738685
    Else (feature 2 > 1005.345)
     If (feature 1 <= 66.21000000000001)
      If (feature 1 <= 55.825)
       Predict: 0.3773109266288433
      Else (feature 1 > 55.825)
       Predict: -1.3659380946007862
     Else (feature 1 > 66.21000000000001)
      If (feature 0 <= 21.335)
       Predict: 8.448170645066464
      Else (feature 0 > 21.335)
       Predict: 0.5048679905700459
  Tree 19 (weight 0.1):
    If (feature 0 <= 18.595)
     If (feature 1 <= 51.905)
      If (feature 0 <= 17.655)
       Predict: -0.003054757854134698
      Else (feature 0 > 17.655)
       Predict: -2.9290357116654935
     Else (feature 1 > 51.905)
      If (feature 1 <= 66.525)
       Predict: -4.061825439604536
      Else (feature 1 > 66.525)
       Predict: -11.67844591879286
    Else (feature 0 > 18.595)
     If (feature 0 <= 23.945)
      If (feature 3 <= 74.525)
       Predict: 3.807909998319029
      Else (feature 3 > 74.525)
       Predict: 0.008459259251505081
     Else (feature 0 > 23.945)
      If (feature 1 <= 74.915)
       Predict: -0.6429811796826012
      Else (feature 1 > 74.915)
       Predict: 2.099670946504916
  Tree 20 (weight 0.1):
    If (feature 0 <= 15.475000000000001)
     If (feature 0 <= 14.285)
      If (feature 0 <= 11.885000000000002)
       Predict: -0.7234702732306101
      Else (feature 0 > 11.885000000000002)
       Predict: 1.589299673192479
     Else (feature 0 > 14.285)
      If (feature 2 <= 1016.495)
       Predict: -2.4381805412578545
      Else (feature 2 > 1016.495)
       Predict: -6.544687605774689
    Else (feature 0 > 15.475000000000001)
     If (feature 1 <= 43.005)
      If (feature 2 <= 1008.405)
       Predict: 0.8119248626873221
      Else (feature 2 > 1008.405)
       Predict: 5.506769369239865
     Else (feature 1 > 43.005)
      If (feature 2 <= 1012.935)
       Predict: -0.5028175384892806
      Else (feature 2 > 1012.935)
       Predict: 1.0290531238165197
  Tree 21 (weight 0.1):
    If (feature 0 <= 6.895)
     If (feature 3 <= 67.42500000000001)
      If (feature 1 <= 39.620000000000005)
       Predict: -0.9752219334588972
      Else (feature 1 > 39.620000000000005)
       Predict: 13.369575512848845
     Else (feature 3 > 67.42500000000001)
      If (feature 1 <= 42.705)
       Predict: 1.850492181024754
      Else (feature 1 > 42.705)
       Predict: -2.033710059657357
    Else (feature 0 > 6.895)
     If (feature 0 <= 8.575)
      If (feature 2 <= 1022.8399999999999)
       Predict: -2.256120115332435
      Else (feature 2 > 1022.8399999999999)
       Predict: -6.380948299395909
     Else (feature 0 > 8.575)
      If (feature 0 <= 9.594999999999999)
       Predict: 3.4448565562285904
      Else (feature 0 > 9.594999999999999)
       Predict: -0.05858832726578875
  Tree 22 (weight 0.1):
    If (feature 0 <= 22.055)
     If (feature 0 <= 21.095)
      If (feature 1 <= 66.21000000000001)
       Predict: -0.17987193554240402
      Else (feature 1 > 66.21000000000001)
       Predict: 6.044335675519052
     Else (feature 0 > 21.095)
      If (feature 1 <= 66.21000000000001)
       Predict: -5.809637597188877
      Else (feature 1 > 66.21000000000001)
       Predict: 2.7761443044302214
    Else (feature 0 > 22.055)
     If (feature 0 <= 23.564999999999998)
      If (feature 1 <= 64.74000000000001)
       Predict: 5.951769778696803
      Else (feature 1 > 64.74000000000001)
       Predict: -0.30197045172071896
     Else (feature 0 > 23.564999999999998)
      If (feature 1 <= 44.519999999999996)
       Predict: -7.283292958317056
      Else (feature 1 > 44.519999999999996)
       Predict: -0.19387573131258415
  Tree 23 (weight 0.1):
    If (feature 3 <= 53.025000000000006)
     If (feature 0 <= 24.945)
      If (feature 0 <= 18.29)
       Predict: 1.0381040338364682
      Else (feature 0 > 18.29)
       Predict: 5.164469183375362
     Else (feature 0 > 24.945)
      If (feature 1 <= 66.21000000000001)
       Predict: -1.0707595335847206
      Else (feature 1 > 66.21000000000001)
       Predict: 0.8108674466901084
    Else (feature 3 > 53.025000000000006)
     If (feature 1 <= 73.725)
      If (feature 1 <= 71.505)
       Predict: -0.0525992725981239
      Else (feature 1 > 71.505)
       Predict: -2.807221561152817
     Else (feature 1 > 73.725)
      If (feature 2 <= 1017.295)
       Predict: 1.037788102485777
      Else (feature 2 > 1017.295)
       Predict: 7.287181806639116
  Tree 24 (weight 0.1):
    If (feature 2 <= 1004.505)
     If (feature 1 <= 70.815)
      If (feature 1 <= 59.144999999999996)
       Predict: -0.3743851611431973
      Else (feature 1 > 59.144999999999996)
       Predict: -4.648812647772385
     Else (feature 1 > 70.815)
      If (feature 0 <= 27.884999999999998)
       Predict: 2.4545579195950995
      Else (feature 0 > 27.884999999999998)
       Predict: -0.32777974793969294
    Else (feature 2 > 1004.505)
     If (feature 0 <= 22.055)
      If (feature 0 <= 20.795)
       Predict: 0.045218490740101897
      Else (feature 0 > 20.795)
       Predict: -3.3620385127109333
     Else (feature 0 > 22.055)
      If (feature 0 <= 22.955)
       Predict: 4.485324626081587
      Else (feature 0 > 22.955)
       Predict: 0.13166549369330485
  Tree 25 (weight 0.1):
    If (feature 0 <= 18.595)
     If (feature 1 <= 58.19)
      If (feature 0 <= 17.655)
       Predict: -0.023636417468335308
      Else (feature 0 > 17.655)
       Predict: -2.607492744918568
     Else (feature 1 > 58.19)
      If (feature 1 <= 66.525)
       Predict: -4.8994505786627665
      Else (feature 1 > 66.525)
       Predict: -10.07085237281708
    Else (feature 0 > 18.595)
     If (feature 0 <= 19.725)
      If (feature 1 <= 66.21000000000001)
       Predict: 2.2716539497960406
      Else (feature 1 > 66.21000000000001)
       Predict: 13.879740983230867
     Else (feature 0 > 19.725)
      If (feature 1 <= 43.005)
       Predict: 5.616411926544602
      Else (feature 1 > 43.005)
       Predict: -0.00532316539213451
  Tree 26 (weight 0.1):
    If (feature 3 <= 93.075)
     If (feature 1 <= 55.825)
      If (feature 0 <= 22.055)
       Predict: 0.15441544139943786
      Else (feature 0 > 22.055)
       Predict: 2.7626508552722306
     Else (feature 1 > 55.825)
      If (feature 1 <= 66.21000000000001)
       Predict: -1.2060290652635515
      Else (feature 1 > 66.21000000000001)
       Predict: 0.4827535356971057
    Else (feature 3 > 93.075)
     If (feature 2 <= 1015.725)
      If (feature 0 <= 7.34)
       Predict: 4.241421869391143
      Else (feature 0 > 7.34)
       Predict: -0.704916847045625
     Else (feature 2 > 1015.725)
      If (feature 0 <= 11.885000000000002)
       Predict: -5.4904249010577795
      Else (feature 0 > 11.885000000000002)
       Predict: 0.0976872424106726
  Tree 27 (weight 0.1):
    If (feature 2 <= 1008.745)
     If (feature 1 <= 41.665)
      If (feature 1 <= 39.765)
       Predict: -1.0511879426704696
      Else (feature 1 > 39.765)
       Predict: 1.894883627758776
     Else (feature 1 > 41.665)
      If (feature 1 <= 41.805)
       Predict: -13.576686832482961
      Else (feature 1 > 41.805)
       Predict: -0.7168167899342832
    Else (feature 2 > 1008.745)
     If (feature 0 <= 15.475000000000001)
      If (feature 0 <= 13.695)
       Predict: 0.303140697564446
      Else (feature 0 > 13.695)
       Predict: -2.8034862119109945
     Else (feature 0 > 15.475000000000001)
      If (feature 1 <= 55.825)
       Predict: 2.0736158373993576
      Else (feature 1 > 55.825)
       Predict: -0.03336709818500243
  Tree 28 (weight 0.1):
    If (feature 2 <= 1001.785)
     If (feature 3 <= 69.86500000000001)
      If (feature 1 <= 69.465)
       Predict: -7.299995136853619
      Else (feature 1 > 69.465)
       Predict: 0.23757420536270835
     Else (feature 3 > 69.86500000000001)
      If (feature 0 <= 7.34)
       Predict: 3.4313360513286284
      Else (feature 0 > 7.34)
       Predict: -1.276734468456009
    Else (feature 2 > 1001.785)
     If (feature 0 <= 11.885000000000002)
      If (feature 0 <= 11.335)
       Predict: 0.04499264982858887
      Else (feature 0 > 11.335)
       Predict: -6.156735713959919
     Else (feature 0 > 11.885000000000002)
      If (feature 0 <= 12.715)
       Predict: 4.4864210547378915
      Else (feature 0 > 12.715)
       Predict: 0.030721690290287165
  Tree 29 (weight 0.1):
    If (feature 1 <= 66.21000000000001)
     If (feature 0 <= 26.505000000000003)
      If (feature 0 <= 22.055)
       Predict: -0.3694472776628706
      Else (feature 0 > 22.055)
       Predict: 1.5208925945902059
     Else (feature 0 > 26.505000000000003)
      If (feature 1 <= 43.510000000000005)
       Predict: -17.99975152056241
      Else (feature 1 > 43.510000000000005)
       Predict: -2.4033598663496183
    Else (feature 1 > 66.21000000000001)
     If (feature 0 <= 22.055)
      If (feature 0 <= 18.595)
       Predict: -7.600012529438
      Else (feature 0 > 18.595)
       Predict: 6.469471961408998
     Else (feature 0 > 22.055)
      If (feature 0 <= 25.325)
       Predict: -2.6540186758683166
      Else (feature 0 > 25.325)
       Predict: 0.9869775581610103
  Tree 30 (weight 0.1):
    If (feature 0 <= 5.0600000000000005)
     If (feature 1 <= 42.3)
      If (feature 3 <= 95.68)
       Predict: 2.6307256050737506
      Else (feature 3 > 95.68)
       Predict: 7.168878406232186
     Else (feature 1 > 42.3)
      If (feature 2 <= 1007.835)
       Predict: -0.1884983669158752
      Else (feature 2 > 1007.835)
       Predict: -5.920088632100639
    Else (feature 0 > 5.0600000000000005)
     If (feature 1 <= 37.815)
      If (feature 0 <= 11.885000000000002)
       Predict: -3.8096010917307517
      Else (feature 0 > 11.885000000000002)
       Predict: 3.5943708074284917
     Else (feature 1 > 37.815)
      If (feature 1 <= 41.519999999999996)
       Predict: 0.6752927073561888
      Else (feature 1 > 41.519999999999996)
       Predict: -0.14342050966250913
  Tree 31 (weight 0.1):
    If (feature 3 <= 99.3)
     If (feature 0 <= 31.155)
      If (feature 3 <= 46.92)
       Predict: 2.011051499336945
      Else (feature 3 > 46.92)
       Predict: 0.012791339921714258
     Else (feature 0 > 31.155)
      If (feature 2 <= 1014.405)
       Predict: -0.916397796921109
      Else (feature 2 > 1014.405)
       Predict: -6.832504867736499
    Else (feature 3 > 99.3)
     If (feature 1 <= 39.765)
      If (feature 1 <= 38.41)
       Predict: -5.505405887296888
      Else (feature 1 > 38.41)
       Predict: -16.748187635942333
     Else (feature 1 > 39.765)
      If (feature 0 <= 16.04)
       Predict: 0.7708563952983728
      Else (feature 0 > 16.04)
       Predict: -3.909609799859729
  Tree 32 (weight 0.1):
    If (feature 1 <= 66.21000000000001)
     If (feature 1 <= 64.74000000000001)
      If (feature 2 <= 1011.515)
       Predict: -1.0002623040885374
      Else (feature 2 > 1011.515)
       Predict: 0.3591184679910596
     Else (feature 1 > 64.74000000000001)
      If (feature 2 <= 1006.775)
       Predict: -13.788703659238209
      Else (feature 2 > 1006.775)
       Predict: -2.4620285364725656
    Else (feature 1 > 66.21000000000001)
     If (feature 1 <= 69.09)
      If (feature 0 <= 22.525)
       Predict: 6.088217885246919
      Else (feature 0 > 22.525)
       Predict: 1.0364537580784474
     Else (feature 1 > 69.09)
      If (feature 0 <= 25.325)
       Predict: -2.7946704533493856
      Else (feature 0 > 25.325)
       Predict: 0.6607665941219878
  Tree 33 (weight 0.1):
    If (feature 2 <= 1028.14)
     If (feature 0 <= 29.455)
      If (feature 1 <= 66.21000000000001)
       Predict: -0.08158010506593574
      Else (feature 1 > 66.21000000000001)
       Predict: 0.8815313937000332
     Else (feature 0 > 29.455)
      If (feature 1 <= 44.519999999999996)
       Predict: -12.581939252812768
      Else (feature 1 > 44.519999999999996)
       Predict: -0.77008278158028
    Else (feature 2 > 1028.14)
     If (feature 0 <= 8.575)
      If (feature 1 <= 39.45)
       Predict: 0.6766771966451415
      Else (feature 1 > 39.45)
       Predict: -8.445008186341592
     Else (feature 0 > 8.575)
      If (feature 0 <= 8.96)
       Predict: 3.777292703648982
      Else (feature 0 > 8.96)
       Predict: -2.398045803854934
  Tree 34 (weight 0.1):
    If (feature 0 <= 6.895)
     If (feature 3 <= 67.42500000000001)
      If (feature 1 <= 39.620000000000005)
       Predict: -0.6804590872791323
      Else (feature 1 > 39.620000000000005)
       Predict: 10.518093452986212
     Else (feature 3 > 67.42500000000001)
      If (feature 1 <= 42.705)
       Predict: 1.3098801739379287
      Else (feature 1 > 42.705)
       Predict: -1.7450883352732074
    Else (feature 0 > 6.895)
     If (feature 0 <= 8.575)
      If (feature 0 <= 7.765)
       Predict: -0.7816329288490581
      Else (feature 0 > 7.765)
       Predict: -3.7319393815256547
     Else (feature 0 > 8.575)
      If (feature 0 <= 9.965)
       Predict: 2.5600814387681337
      Else (feature 0 > 9.965)
       Predict: -0.06944896856946733
  Tree 35 (weight 0.1):
    If (feature 3 <= 61.89)
     If (feature 1 <= 39.34)
      If (feature 0 <= 16.695)
       Predict: -4.078381955056753
      Else (feature 0 > 16.695)
       Predict: -16.616821684050763
     Else (feature 1 > 39.34)
      If (feature 1 <= 40.82)
       Predict: 4.4394084324272045
      Else (feature 1 > 40.82)
       Predict: 0.4663514281701948
    Else (feature 3 > 61.89)
     If (feature 1 <= 58.19)
      If (feature 0 <= 22.055)
       Predict: -0.027831559557693095
      Else (feature 0 > 22.055)
       Predict: 2.492136574233702
     Else (feature 1 > 58.19)
      If (feature 0 <= 18.595)
       Predict: -4.183073089901298
      Else (feature 0 > 18.595)
       Predict: -0.40866909936948326
  Tree 36 (weight 0.1):
    If (feature 2 <= 1004.505)
     If (feature 1 <= 38.754999999999995)
      If (feature 3 <= 77.195)
       Predict: 9.579430817769946
      Else (feature 3 > 77.195)
       Predict: 2.6305173165509195
     Else (feature 1 > 38.754999999999995)
      If (feature 1 <= 70.065)
       Predict: -1.801035005150415
      Else (feature 1 > 70.065)
       Predict: 0.4054557218074593
    Else (feature 2 > 1004.505)
     If (feature 2 <= 1017.475)
      If (feature 1 <= 43.175)
       Predict: 1.09341093192285
      Else (feature 1 > 43.175)
       Predict: -0.03229585395374685
     Else (feature 2 > 1017.475)
      If (feature 2 <= 1019.365)
       Predict: -1.7719467091167656
      Else (feature 2 > 1019.365)
       Predict: 0.2537098831339789
  Tree 37 (weight 0.1):
    If (feature 0 <= 15.475000000000001)
     If (feature 0 <= 13.695)
      If (feature 0 <= 11.885000000000002)
       Predict: -0.5104239863875834
      Else (feature 0 > 11.885000000000002)
       Predict: 2.1202163252308432
     Else (feature 0 > 13.695)
      If (feature 3 <= 78.38499999999999)
       Predict: -3.379040627299855
      Else (feature 3 > 78.38499999999999)
       Predict: -0.9911440360990582
    Else (feature 0 > 15.475000000000001)
     If (feature 0 <= 16.395)
      If (feature 3 <= 67.42500000000001)
       Predict: 0.4887402058080506
      Else (feature 3 > 67.42500000000001)
       Predict: 3.884289185845989
     Else (feature 0 > 16.395)
      If (feature 2 <= 1020.565)
       Predict: -0.02862374251288089
      Else (feature 2 > 1020.565)
       Predict: 3.15734851002617
  Tree 38 (weight 0.1):
    If (feature 3 <= 43.385)
     If (feature 0 <= 24.945)
      If (feature 2 <= 1014.405)
       Predict: 1.603183026814036
      Else (feature 2 > 1014.405)
       Predict: 7.05673098720603
     Else (feature 0 > 24.945)
      If (feature 0 <= 26.295)
       Predict: -5.886157652325024
      Else (feature 0 > 26.295)
       Predict: 0.7387886738447553
    Else (feature 3 > 43.385)
     If (feature 1 <= 73.725)
      If (feature 1 <= 71.505)
       Predict: 0.008754170391068655
      Else (feature 1 > 71.505)
       Predict: -2.0178119354056765
     Else (feature 1 > 73.725)
      If (feature 1 <= 77.42)
       Predict: 1.8396223170900134
      Else (feature 1 > 77.42)
       Predict: -1.5747478023010713
  Tree 39 (weight 0.1):
    If (feature 0 <= 22.055)
     If (feature 0 <= 20.795)
      If (feature 0 <= 18.595)
       Predict: -0.25201916420658693
      Else (feature 0 > 18.595)
       Predict: 1.5718496558845116
     Else (feature 0 > 20.795)
      If (feature 1 <= 66.21000000000001)
       Predict: -3.7201562729508804
      Else (feature 1 > 66.21000000000001)
       Predict: 2.087916157719636
    Else (feature 0 > 22.055)
     If (feature 0 <= 23.564999999999998)
      If (feature 2 <= 1012.015)
       Predict: 0.7371264627237751
      Else (feature 2 > 1012.015)
       Predict: 4.6381746481309065
     Else (feature 0 > 23.564999999999998)
      If (feature 1 <= 44.519999999999996)
       Predict: -5.772062593218147
      Else (feature 1 > 44.519999999999996)
       Predict: -0.12977023255758624
  Tree 40 (weight 0.1):
    If (feature 0 <= 5.0600000000000005)
     If (feature 3 <= 95.68)
      If (feature 2 <= 1011.105)
       Predict: -3.365769010003795
      Else (feature 2 > 1011.105)
       Predict: 2.955050770650336
     Else (feature 3 > 95.68)
      If (feature 2 <= 1008.205)
       Predict: 2.728200788704399
      Else (feature 2 > 1008.205)
       Predict: 6.919382935391042
    Else (feature 0 > 5.0600000000000005)
     If (feature 3 <= 96.61)
      If (feature 1 <= 37.815)
       Predict: -1.3949762323292278
      Else (feature 1 > 37.815)
       Predict: 0.06411431759031856
     Else (feature 3 > 96.61)
      If (feature 0 <= 11.605)
       Predict: -3.491961189446582
      Else (feature 0 > 11.605)
       Predict: -0.16406940197018208
  Tree 41 (weight 0.1):
    If (feature 0 <= 30.41)
     If (feature 1 <= 66.21000000000001)
      If (feature 1 <= 58.85)
       Predict: 0.15540001609212736
      Else (feature 1 > 58.85)
       Predict: -1.1352706510871309
     Else (feature 1 > 66.21000000000001)
      If (feature 0 <= 25.325)
       Predict: -0.6390388689881783
      Else (feature 0 > 25.325)
       Predict: 1.3909471658872326
    Else (feature 0 > 30.41)
     If (feature 2 <= 1014.405)
      If (feature 1 <= 56.894999999999996)
       Predict: -9.841212730443857
      Else (feature 1 > 56.894999999999996)
       Predict: -0.5054201979116707
     Else (feature 2 > 1014.405)
      If (feature 1 <= 74.915)
       Predict: -5.898616989217175
      Else (feature 1 > 74.915)
       Predict: 1.042314191558674
  Tree 42 (weight 0.1):
    If (feature 2 <= 1009.625)
     If (feature 1 <= 43.005)
      If (feature 1 <= 42.025000000000006)
       Predict: -0.05077288158998095
      Else (feature 1 > 42.025000000000006)
       Predict: 3.619244461816007
     Else (feature 1 > 43.005)
      If (feature 0 <= 18.595)
       Predict: -3.5057172058309307
      Else (feature 0 > 18.595)
       Predict: -0.32537979322253646
    Else (feature 2 > 1009.625)
     If (feature 2 <= 1017.475)
      If (feature 1 <= 55.825)
       Predict: 0.8076710222538108
      Else (feature 1 > 55.825)
       Predict: -0.01784249647067053
     Else (feature 2 > 1017.475)
      If (feature 2 <= 1019.365)
       Predict: -1.4312272708033218
      Else (feature 2 > 1019.365)
       Predict: 0.20844195286029432
  Tree 43 (weight 0.1):
    If (feature 0 <= 18.595)
     If (feature 0 <= 17.655)
      If (feature 0 <= 15.475000000000001)
       Predict: -0.2913115404147692
      Else (feature 0 > 15.475000000000001)
       Predict: 1.1145997107947745
     Else (feature 0 > 17.655)
      If (feature 1 <= 37.815)
       Predict: 14.538914074443028
      Else (feature 1 > 37.815)
       Predict: -3.0407663665320683
    Else (feature 0 > 18.595)
     If (feature 2 <= 1020.325)
      If (feature 1 <= 43.175)
       Predict: 3.881117973012625
      Else (feature 1 > 43.175)
       Predict: 0.04538590552170286
     Else (feature 2 > 1020.325)
      If (feature 1 <= 64.74000000000001)
       Predict: 4.662857871344832
      Else (feature 1 > 64.74000000000001)
       Predict: -43.5190245896606
  Tree 44 (weight 0.1):
    If (feature 0 <= 6.895)
     If (feature 3 <= 67.42500000000001)
      If (feature 1 <= 39.620000000000005)
       Predict: -0.7153417257252007
      Else (feature 1 > 39.620000000000005)
       Predict: 8.417772324738223
     Else (feature 3 > 67.42500000000001)
      If (feature 2 <= 1010.985)
       Predict: 2.5111312207852263
      Else (feature 2 > 1010.985)
       Predict: 0.29950092637128345
    Else (feature 0 > 6.895)
     If (feature 0 <= 8.575)
      If (feature 1 <= 40.06)
       Predict: -3.30672576579827
      Else (feature 1 > 40.06)
       Predict: -0.45097750406116727
     Else (feature 0 > 8.575)
      If (feature 0 <= 9.325)
       Predict: 3.226884779601992
      Else (feature 0 > 9.325)
       Predict: -0.041218673012550146
  Tree 45 (weight 0.1):
    If (feature 2 <= 1028.14)
     If (feature 0 <= 10.395)
      If (feature 3 <= 92.22999999999999)
       Predict: 1.0355113706204075
      Else (feature 3 > 92.22999999999999)
       Predict: -1.4603765116034264
     Else (feature 0 > 10.395)
      If (feature 0 <= 11.885000000000002)
       Predict: -2.630098257038007
      Else (feature 0 > 11.885000000000002)
       Predict: 0.09582680902226459
    Else (feature 2 > 1028.14)
     If (feature 0 <= 8.575)
      If (feature 1 <= 39.45)
       Predict: 1.107359449029309
      Else (feature 1 > 39.45)
       Predict: -6.096185488604492
     Else (feature 0 > 8.575)
      If (feature 3 <= 70.57499999999999)
       Predict: -3.516006231223605
      Else (feature 3 > 70.57499999999999)
       Predict: -0.26144006873351155
  Tree 46 (weight 0.1):
    If (feature 0 <= 27.884999999999998)
     If (feature 1 <= 66.21000000000001)
      If (feature 0 <= 25.145)
       Predict: 0.06412914679730906
      Else (feature 0 > 25.145)
       Predict: -1.554041618425865
     Else (feature 1 > 66.21000000000001)
      If (feature 0 <= 25.325)
       Predict: -0.4748636523867588
      Else (feature 0 > 25.325)
       Predict: 2.4595627925276826
    Else (feature 0 > 27.884999999999998)
     If (feature 3 <= 61.89)
      If (feature 1 <= 71.895)
       Predict: -0.4429995884239883
      Else (feature 1 > 71.895)
       Predict: 1.4321627506429122
     Else (feature 3 > 61.89)
      If (feature 1 <= 71.505)
       Predict: -0.2617373838209719
      Else (feature 1 > 71.505)
       Predict: -2.637373068367584
  Tree 47 (weight 0.1):
    If (feature 3 <= 61.89)
     If (feature 1 <= 39.34)
      If (feature 0 <= 16.695)
       Predict: -2.855821258258964
      Else (feature 0 > 16.695)
       Predict: -13.80709248590955
     Else (feature 1 > 39.34)
      If (feature 1 <= 74.915)
       Predict: 0.35443616318343385
      Else (feature 1 > 74.915)
       Predict: 2.9400682899293233
    Else (feature 3 > 61.89)
     If (feature 1 <= 71.505)
      If (feature 1 <= 66.85499999999999)
       Predict: -0.142107366817925
      Else (feature 1 > 66.85499999999999)
       Predict: 1.0352328327059535
     Else (feature 1 > 71.505)
      If (feature 1 <= 73.00999999999999)
       Predict: -2.947898208728739
      Else (feature 1 > 73.00999999999999)
       Predict: -0.0830706492691125
  Tree 48 (weight 0.1):
    If (feature 2 <= 1004.505)
     If (feature 1 <= 38.754999999999995)
      If (feature 3 <= 86.625)
       Predict: 4.921331281961159
      Else (feature 3 > 86.625)
       Predict: -5.961237317667383
     Else (feature 1 > 38.754999999999995)
      If (feature 1 <= 39.765)
       Predict: -4.436072018762161
      Else (feature 1 > 39.765)
       Predict: -0.7283906418193187
    Else (feature 2 > 1004.505)
     If (feature 0 <= 22.055)
      If (feature 0 <= 20.795)
       Predict: 0.044899959208437666
      Else (feature 0 > 20.795)
       Predict: -2.2295677836603995
     Else (feature 0 > 22.055)
      If (feature 0 <= 23.564999999999998)
       Predict: 2.3559950404053414
      Else (feature 0 > 23.564999999999998)
       Predict: -0.06950420285239005
  Tree 49 (weight 0.1):
    If (feature 1 <= 41.435)
     If (feature 0 <= 11.885000000000002)
      If (feature 0 <= 11.335)
       Predict: -0.02697483446966382
      Else (feature 0 > 11.335)
       Predict: -3.7031660865730367
     Else (feature 0 > 11.885000000000002)
      If (feature 0 <= 13.265)
       Predict: 4.209724879257512
      Else (feature 0 > 13.265)
       Predict: 0.41602586770224464
    Else (feature 1 > 41.435)
     If (feature 1 <= 41.805)
      If (feature 3 <= 89.595)
       Predict: -1.6099299736449546
      Else (feature 3 > 89.595)
       Predict: -9.419799062932288
     Else (feature 1 > 41.805)
      If (feature 1 <= 43.175)
       Predict: 1.5951066240527068
      Else (feature 1 > 43.175)
       Predict: -0.11481901338423915
  Tree 50 (weight 0.1):
    If (feature 1 <= 38.41)
     If (feature 0 <= 11.885000000000002)
      If (feature 2 <= 1016.665)
       Predict: -5.344526613859499
      Else (feature 2 > 1016.665)
       Predict: 0.058134490545794976
     Else (feature 0 > 11.885000000000002)
      If (feature 0 <= 16.985)
       Predict: 1.537246393097642
      Else (feature 0 > 16.985)
       Predict: 9.920778277565365
    Else (feature 1 > 38.41)
     If (feature 0 <= 13.485)
      If (feature 1 <= 51.045)
       Predict: 0.6675749827847329
      Else (feature 1 > 51.045)
       Predict: -5.737026170963195
     Else (feature 0 > 13.485)
      If (feature 0 <= 15.475000000000001)
       Predict: -1.7210713764803844
      Else (feature 0 > 15.475000000000001)
       Predict: 0.09027853735147576
  Tree 51 (weight 0.1):
    If (feature 0 <= 31.155)
     If (feature 3 <= 48.230000000000004)
      If (feature 2 <= 1020.325)
       Predict: 0.9307527734280435
      Else (feature 2 > 1020.325)
       Predict: 9.070547343579028
     Else (feature 3 > 48.230000000000004)
      If (feature 1 <= 73.725)
       Predict: -0.06359121142988887
      Else (feature 1 > 73.725)
       Predict: 1.049949579330099
    Else (feature 0 > 31.155)
     If (feature 1 <= 63.08)
      If (feature 1 <= 44.519999999999996)
       Predict: -6.355864033256125
      Else (feature 1 > 44.519999999999996)
       Predict: 13.6760008529786
     Else (feature 1 > 63.08)
      If (feature 1 <= 68.28999999999999)
       Predict: -3.953494984806905
      Else (feature 1 > 68.28999999999999)
       Predict: -0.6145841300086397
  Tree 52 (weight 0.1):
    If (feature 2 <= 1012.495)
     If (feature 1 <= 41.435)
      If (feature 1 <= 39.975)
       Predict: -0.4047468839922722
      Else (feature 1 > 39.975)
       Predict: 2.509624688414308
     Else (feature 1 > 41.435)
      If (feature 1 <= 41.805)
       Predict: -6.811044477667833
      Else (feature 1 > 41.805)
       Predict: -0.26889174065489546
    Else (feature 2 > 1012.495)
     If (feature 3 <= 92.22999999999999)
      If (feature 1 <= 58.19)
       Predict: 0.7048711166950787
      Else (feature 1 > 58.19)
       Predict: -0.5475390646726656
     Else (feature 3 > 92.22999999999999)
      If (feature 1 <= 41.805)
       Predict: -3.7013459723577355
      Else (feature 1 > 41.805)
       Predict: 0.7237930378019226
  Tree 53 (weight 0.1):
    If (feature 0 <= 18.595)
     If (feature 0 <= 17.335)
      If (feature 3 <= 74.08500000000001)
       Predict: -0.8631764946312587
      Else (feature 3 > 74.08500000000001)
       Predict: 0.2803856631344212
     Else (feature 0 > 17.335)
      If (feature 1 <= 42.705)
       Predict: 0.9335711174385192
      Else (feature 1 > 42.705)
       Predict: -2.950020164379197
    Else (feature 0 > 18.595)
     If (feature 2 <= 1013.395)
      If (feature 1 <= 66.85499999999999)
       Predict: -0.7231135633124072
      Else (feature 1 > 66.85499999999999)
       Predict: 0.41724670068145925
     Else (feature 2 > 1013.395)
      If (feature 1 <= 58.19)
       Predict: 4.568024116358373
      Else (feature 1 > 58.19)
       Predict: -0.36270787813043714
  Tree 54 (weight 0.1):
    If (feature 2 <= 1001.785)
     If (feature 3 <= 63.575)
      If (feature 3 <= 60.025000000000006)
       Predict: -1.7427137986580719
      Else (feature 3 > 60.025000000000006)
       Predict: -7.776342039375448
     Else (feature 3 > 63.575)
      If (feature 0 <= 27.119999999999997)
       Predict: 0.026174663094801796
      Else (feature 0 > 27.119999999999997)
       Predict: -2.343138620856655
    Else (feature 2 > 1001.785)
     If (feature 0 <= 22.055)
      If (feature 1 <= 66.21000000000001)
       Predict: -0.27236570115397085
      Else (feature 1 > 66.21000000000001)
       Predict: 3.164590339421908
     Else (feature 0 > 22.055)
      If (feature 0 <= 22.725)
       Predict: 2.9597120242025485
      Else (feature 0 > 22.725)
       Predict: 0.054881549113388446
  Tree 55 (weight 0.1):
    If (feature 2 <= 1028.14)
     If (feature 1 <= 45.754999999999995)
      If (feature 0 <= 26.715)
       Predict: 0.2599176823406179
      Else (feature 0 > 26.715)
       Predict: -5.549910372715466
     Else (feature 1 > 45.754999999999995)
      If (feature 0 <= 15.475000000000001)
       Predict: -2.867925531108855
      Else (feature 0 > 15.475000000000001)
       Predict: -0.0236838100703647
    Else (feature 2 > 1028.14)
     If (feature 0 <= 8.575)
      If (feature 1 <= 39.45)
       Predict: 0.7777761733424086
      Else (feature 1 > 39.45)
       Predict: -5.202001886405932
     Else (feature 0 > 8.575)
      If (feature 3 <= 68.945)
       Predict: -3.641368616696809
      Else (feature 3 > 68.945)
       Predict: -0.6008141057791702
  Tree 56 (weight 0.1):
    If (feature 3 <= 61.89)
     If (feature 0 <= 18.29)
      If (feature 2 <= 1019.025)
       Predict: -2.1632736300070996
      Else (feature 2 > 1019.025)
       Predict: 1.2430029950309498
     Else (feature 0 > 18.29)
      If (feature 1 <= 44.91)
       Predict: 3.2134324628571003
      Else (feature 1 > 44.91)
       Predict: 0.2988556025240279
    Else (feature 3 > 61.89)
     If (feature 1 <= 71.505)
      If (feature 1 <= 66.85499999999999)
       Predict: -0.09866504525517336
      Else (feature 1 > 66.85499999999999)
       Predict: 0.7271499788275563
     Else (feature 1 > 71.505)
      If (feature 1 <= 73.00999999999999)
       Predict: -2.395971400707892
      Else (feature 1 > 73.00999999999999)
       Predict: -0.16608323426526406
  Tree 57 (weight 0.1):
    If (feature 2 <= 1017.645)
     If (feature 2 <= 1014.615)
      If (feature 1 <= 43.175)
       Predict: 1.0389282601473917
      Else (feature 1 > 43.175)
       Predict: -0.3646675630154698
     Else (feature 2 > 1014.615)
      If (feature 1 <= 43.510000000000005)
       Predict: -0.6889797697082773
      Else (feature 1 > 43.510000000000005)
       Predict: 1.5908362409321974
    Else (feature 2 > 1017.645)
     If (feature 2 <= 1019.025)
      If (feature 1 <= 71.18)
       Predict: -1.6569133708803008
      Else (feature 1 > 71.18)
       Predict: 4.314967971455512
     Else (feature 2 > 1019.025)
      If (feature 3 <= 89.595)
       Predict: 0.43765066032139976
      Else (feature 3 > 89.595)
       Predict: -1.7344432288008194
  Tree 58 (weight 0.1):
    If (feature 2 <= 1004.505)
     If (feature 1 <= 70.815)
      If (feature 1 <= 59.834999999999994)
       Predict: -0.170418541124326
      Else (feature 1 > 59.834999999999994)
       Predict: -2.895038840312831
     Else (feature 1 > 70.815)
      If (feature 2 <= 1000.505)
       Predict: -1.3832637115340176
      Else (feature 2 > 1000.505)
       Predict: 1.2249185299155396
    Else (feature 2 > 1004.505)
     If (feature 0 <= 22.055)
      If (feature 1 <= 66.21000000000001)
       Predict: -0.2418541439735617
      Else (feature 1 > 66.21000000000001)
       Predict: 3.0110894160107886
     Else (feature 0 > 22.055)
      If (feature 0 <= 23.945)
       Predict: 1.4999960684883906
      Else (feature 0 > 23.945)
       Predict: -0.042407486119460915
  Tree 59 (weight 0.1):
    If (feature 1 <= 77.42)
     If (feature 1 <= 74.915)
      If (feature 1 <= 71.505)
       Predict: 0.03983464447255206
      Else (feature 1 > 71.505)
       Predict: -0.7683021525819648
     Else (feature 1 > 74.915)
      If (feature 3 <= 72.82)
       Predict: 2.774179202497669
      Else (feature 3 > 72.82)
       Predict: -0.32979787820368633
    Else (feature 1 > 77.42)
     If (feature 0 <= 21.595)
      If (feature 0 <= 21.335)
       Predict: -13.565760771414489
      Else (feature 0 > 21.335)
       Predict: -13.954507897669714
     Else (feature 0 > 21.595)
      If (feature 0 <= 22.955)
       Predict: 10.853700477067264
      Else (feature 0 > 22.955)
       Predict: -1.4643467280880287
  Tree 60 (weight 0.1):
    If (feature 0 <= 10.395)
     If (feature 1 <= 40.629999999999995)
      If (feature 3 <= 75.545)
       Predict: -2.3127871072788375
      Else (feature 3 > 75.545)
       Predict: 0.3992391857664209
     Else (feature 1 > 40.629999999999995)
      If (feature 3 <= 89.595)
       Predict: 2.9152362525803523
      Else (feature 3 > 89.595)
       Predict: -1.4086879927580456
    Else (feature 0 > 10.395)
     If (feature 0 <= 11.885000000000002)
      If (feature 2 <= 1025.2150000000001)
       Predict: -2.2352340341897547
      Else (feature 2 > 1025.2150000000001)
       Predict: 5.952010328542228
     Else (feature 0 > 11.885000000000002)
      If (feature 0 <= 12.415)
       Predict: 3.4957190546300447
      Else (feature 0 > 12.415)
       Predict: -0.03992973893781255
  Tree 61 (weight 0.1):
    If (feature 1 <= 40.82)
     If (feature 1 <= 40.224999999999994)
      If (feature 3 <= 75.545)
       Predict: -1.2944988036912455
      Else (feature 3 > 75.545)
       Predict: 0.44866615475817667
     Else (feature 1 > 40.224999999999994)
      If (feature 2 <= 1025.2150000000001)
       Predict: 0.7826360308981203
      Else (feature 2 > 1025.2150000000001)
       Predict: 9.875672812487991
    Else (feature 1 > 40.82)
     If (feature 2 <= 1025.2150000000001)
      If (feature 0 <= 10.945)
       Predict: 1.1628421208118285
      Else (feature 0 > 10.945)
       Predict: -0.12551627485602937
     Else (feature 2 > 1025.2150000000001)
      If (feature 1 <= 41.15)
       Predict: -7.782369290305258
      Else (feature 1 > 41.15)
       Predict: -1.200273276366743
  Tree 62 (weight 0.1):
    If (feature 0 <= 22.055)
     If (feature 0 <= 21.335)
      If (feature 1 <= 66.21000000000001)
       Predict: -0.09621281022933233
      Else (feature 1 > 66.21000000000001)
       Predict: 2.680549669942832
     Else (feature 0 > 21.335)
      If (feature 1 <= 63.864999999999995)
       Predict: -3.207766197974041
      Else (feature 1 > 63.864999999999995)
       Predict: -0.14162445042909583
    Else (feature 0 > 22.055)
     If (feature 0 <= 22.725)
      If (feature 2 <= 1011.515)
       Predict: 0.5064350504779975
      Else (feature 2 > 1011.515)
       Predict: 3.659612527058891
     Else (feature 0 > 22.725)
      If (feature 3 <= 75.545)
       Predict: 0.2595183211083464
      Else (feature 3 > 75.545)
       Predict: -0.6564588168227348
  Tree 63 (weight 0.1):
    If (feature 2 <= 1017.645)
     If (feature 1 <= 44.67)
      If (feature 1 <= 44.13)
       Predict: 0.3869693354075677
      Else (feature 1 > 44.13)
       Predict: 4.723132901950317
     Else (f...

Conclusion

Wow! So our best model is in fact our Gradient Boosted Decision tree model which uses an ensemble of 120 Trees with a depth of 3 to construct a better model than the single decision tree.

Step 8: Deployment will be done later

Now that we have a predictive model it is time to deploy the model into an operational environment.

In our example, let's say we have a series of sensors attached to the power plant and a monitoring station.

The monitoring station will need close to real-time information about how much power that their station will generate so they can relay that to the utility.

For this we need to create a Spark Streaming utility that we can use for this purpose. For this you need to be introduced to basic concepts in Spark Streaming first. See http://spark.apache.org/docs/latest/streaming-programming-guide.html if you can't wait!

After deployment you will be able to use the best predictions from gradient boosed regression trees to feed a real-time dashboard or feed the utility with information on how much power the peaker plant will deliver give current conditions.

Persisting Statistical Machine Learning Models

See https://databricks.com/blog/2016/05/31/apache-spark-2-0-preview-machine-learning-model-persistence.html

Let's save our best model so we can load it without having to rerun the validation and training again.

gbtModel
res117: org.apache.spark.ml.tuning.CrossValidatorModel = CrossValidatorModel: uid=cv_bc136566b6a6, bestModel=pipeline_8b2722444cff, numFolds=3
gbtModel.bestModel.asInstanceOf[PipelineModel]
        .write.overwrite().save("/databricks/driver/MyTrainedBestPipelineModel")

When it is time to deploy the trained model to serve predicitons, we can simply reload this model and proceed as shown later.

This is one of the Deploymnet Patterns for Serving a Model's Prediction.

See: https://learning.oreilly.com/library/view/spark-the-definitive/9781491912201/ch24.html#deployment-patterns

Datasource References:

  • Pinar Tüfekci, Prediction of full load electrical power output of a base load operated combined cycle power plant using machine learning methods, International Journal of Electrical Power & Energy Systems, Volume 60, September 2014, Pages 126-140, ISSN 0142-0615, Web Link
  • Heysem Kaya, Pinar Tüfekci , Sadik Fikret Gürgen: Local and Global Learning Methods for Predicting Power of a Combined Gas & Steam Turbine, Proceedings of the International Conference on Emerging Trends in Computer and Electronics Engineering ICETCEE 2012, pp. 13-18 (Mar. 2012, Dubai) Web Link