Data 621 Homework 1
Natalie Mollaghan
9/29/2018
data evaluation
1.1
## [1] "TARGET_WINS" "TEAM_BATTING_H" "TEAM_BATTING_2B"
## [4] "TEAM_BATTING_3B" "TEAM_BATTING_HR" "TEAM_BATTING_BB"
## [7] "TEAM_BATTING_SO" "TEAM_BASERUN_SB" "TEAM_BASERUN_CS"
## [10] "TEAM_BATTING_HBP" "TEAM_PITCHING_H" "TEAM_PITCHING_HR"
## [13] "TEAM_PITCHING_BB" "TEAM_PITCHING_SO" "TEAM_FIELDING_E"
## [16] "TEAM_FIELDING_DP"str(mbtraining)## 'data.frame': 2276 obs. of 16 variables:
## $ TARGET_WINS : int 39 70 86 70 82 75 80 85 86 76 ...
## $ TEAM_BATTING_H : int 1445 1339 1377 1387 1297 1279 1244 1273 1391 1271 ...
## $ TEAM_BATTING_2B : int 194 219 232 209 186 200 179 171 197 213 ...
## $ TEAM_BATTING_3B : int 39 22 35 38 27 36 54 37 40 18 ...
## $ TEAM_BATTING_HR : int 13 190 137 96 102 92 122 115 114 96 ...
## $ TEAM_BATTING_BB : int 143 685 602 451 472 443 525 456 447 441 ...
## $ TEAM_BATTING_SO : int 842 1075 917 922 920 973 1062 1027 922 827 ...
## $ TEAM_BASERUN_SB : int NA 37 46 43 49 107 80 40 69 72 ...
## $ TEAM_BASERUN_CS : int NA 28 27 30 39 59 54 36 27 34 ...
## $ TEAM_BATTING_HBP: int NA NA NA NA NA NA NA NA NA NA ...
## $ TEAM_PITCHING_H : int 9364 1347 1377 1396 1297 1279 1244 1281 1391 1271 ...
## $ TEAM_PITCHING_HR: int 84 191 137 97 102 92 122 116 114 96 ...
## $ TEAM_PITCHING_BB: int 927 689 602 454 472 443 525 459 447 441 ...
## $ TEAM_PITCHING_SO: int 5456 1082 917 928 920 973 1062 1033 922 827 ...
## $ TEAM_FIELDING_E : int 1011 193 175 164 138 123 136 112 127 131 ...
## $ TEAM_FIELDING_DP: int NA 155 153 156 168 149 186 136 169 159 ...1.2
summary(mbtraining)## TARGET_WINS TEAM_BATTING_H TEAM_BATTING_2B TEAM_BATTING_3B
## Min. : 0.00 Min. : 891 Min. : 69.0 Min. : 0.00
## 1st Qu.: 71.00 1st Qu.:1383 1st Qu.:208.0 1st Qu.: 34.00
## Median : 82.00 Median :1454 Median :238.0 Median : 47.00
## Mean : 80.79 Mean :1469 Mean :241.2 Mean : 55.25
## 3rd Qu.: 92.00 3rd Qu.:1537 3rd Qu.:273.0 3rd Qu.: 72.00
## Max. :146.00 Max. :2554 Max. :458.0 Max. :223.00
##
## TEAM_BATTING_HR TEAM_BATTING_BB TEAM_BATTING_SO TEAM_BASERUN_SB
## Min. : 0.00 Min. : 0.0 Min. : 0.0 Min. : 0.0
## 1st Qu.: 42.00 1st Qu.:451.0 1st Qu.: 548.0 1st Qu.: 66.0
## Median :102.00 Median :512.0 Median : 750.0 Median :101.0
## Mean : 99.61 Mean :501.6 Mean : 735.6 Mean :124.8
## 3rd Qu.:147.00 3rd Qu.:580.0 3rd Qu.: 930.0 3rd Qu.:156.0
## Max. :264.00 Max. :878.0 Max. :1399.0 Max. :697.0
## NA's :102 NA's :131
## TEAM_BASERUN_CS TEAM_BATTING_HBP TEAM_PITCHING_H TEAM_PITCHING_HR
## Min. : 0.0 Min. :29.00 Min. : 1137 Min. : 0.0
## 1st Qu.: 38.0 1st Qu.:50.50 1st Qu.: 1419 1st Qu.: 50.0
## Median : 49.0 Median :58.00 Median : 1518 Median :107.0
## Mean : 52.8 Mean :59.36 Mean : 1779 Mean :105.7
## 3rd Qu.: 62.0 3rd Qu.:67.00 3rd Qu.: 1682 3rd Qu.:150.0
## Max. :201.0 Max. :95.00 Max. :30132 Max. :343.0
## NA's :772 NA's :2085
## TEAM_PITCHING_BB TEAM_PITCHING_SO TEAM_FIELDING_E TEAM_FIELDING_DP
## Min. : 0.0 Min. : 0.0 Min. : 65.0 Min. : 52.0
## 1st Qu.: 476.0 1st Qu.: 615.0 1st Qu.: 127.0 1st Qu.:131.0
## Median : 536.5 Median : 813.5 Median : 159.0 Median :149.0
## Mean : 553.0 Mean : 817.7 Mean : 246.5 Mean :146.4
## 3rd Qu.: 611.0 3rd Qu.: 968.0 3rd Qu.: 249.2 3rd Qu.:164.0
## Max. :3645.0 Max. :19278.0 Max. :1898.0 Max. :228.0
## NA's :102 NA's :2861.3
## Skim summary statistics
## n obs: 2276
## n variables: 16
##
## ── Variable type:integer ──────────────────────────────────────────────────
## variable missing complete n mean sd p0 p25 p50
## TARGET_WINS 0 2276 2276 80.79 15.75 0 71 82
## TEAM_BASERUN_CS 772 1504 2276 52.8 22.96 0 38 49
## TEAM_BASERUN_SB 131 2145 2276 124.76 87.79 0 66 101
## TEAM_BATTING_2B 0 2276 2276 241.25 46.8 69 208 238
## TEAM_BATTING_3B 0 2276 2276 55.25 27.94 0 34 47
## TEAM_BATTING_BB 0 2276 2276 501.56 122.67 0 451 512
## TEAM_BATTING_H 0 2276 2276 1469.27 144.59 891 1383 1454
## TEAM_BATTING_HBP 2085 191 2276 59.36 12.97 29 50.5 58
## TEAM_BATTING_HR 0 2276 2276 99.61 60.55 0 42 102
## TEAM_BATTING_SO 102 2174 2276 735.61 248.53 0 548 750
## TEAM_FIELDING_DP 286 1990 2276 146.39 26.23 52 131 149
## TEAM_FIELDING_E 0 2276 2276 246.48 227.77 65 127 159
## TEAM_PITCHING_BB 0 2276 2276 553.01 166.36 0 476 536.5
## TEAM_PITCHING_H 0 2276 2276 1779.21 1406.84 1137 1419 1518
## TEAM_PITCHING_HR 0 2276 2276 105.7 61.3 0 50 107
## TEAM_PITCHING_SO 102 2174 2276 817.73 553.09 0 615 813.5
## p75 p100 hist
## 92 146 ▁▁▁▅▇▅▁▁
## 62 201 ▁▇▆▂▁▁▁▁
## 156 697 ▇▇▂▁▁▁▁▁
## 273 458 ▁▁▅▇▅▁▁▁
## 72 223 ▂▇▅▂▁▁▁▁
## 580 878 ▁▁▁▂▇▆▁▁
## 1537.25 2554 ▁▁▇▃▁▁▁▁
## 67 95 ▁▃▆▇▅▃▁▁
## 147 264 ▇▆▆▇▇▅▂▁
## 930 1399 ▁▁▆▇▇▇▃▁
## 164 228 ▁▁▂▅▇▅▁▁
## 249.25 1898 ▇▁▁▁▁▁▁▁
## 611 3645 ▂▇▁▁▁▁▁▁
## 1682.5 30132 ▇▁▁▁▁▁▁▁
## 150 343 ▇▆▇▇▃▁▁▁
## 968 19278 ▇▁▁▁▁▁▁▁1.4
## mbtraining
##
## 16 Variables 2276 Observations
## ---------------------------------------------------------------------------
## TARGET_WINS
## n missing distinct Info Mean Gmd .05 .10
## 2276 0 108 1 80.79 17.47 54.0 61.0
## .25 .50 .75 .90 .95
## 71.0 82.0 92.0 99.5 104.0
##
## lowest : 0 12 14 17 21, highest: 128 129 134 135 146
## ---------------------------------------------------------------------------
## TEAM_BATTING_H
## n missing distinct Info Mean Gmd .05 .10
## 2276 0 569 1 1469 149.8 1282 1315
## .25 .50 .75 .90 .95
## 1383 1454 1537 1636 1695
##
## lowest : 891 992 1009 1116 1122, highest: 2333 2343 2372 2496 2554
## ---------------------------------------------------------------------------
## TEAM_BATTING_2B
## n missing distinct Info Mean Gmd .05 .10
## 2276 0 240 1 241.2 52.89 167 182
## .25 .50 .75 .90 .95
## 208 238 273 303 320
##
## lowest : 69 112 113 118 123, highest: 382 392 393 403 458
## ---------------------------------------------------------------------------
## TEAM_BATTING_3B
## n missing distinct Info Mean Gmd .05 .10
## 2276 0 144 1 55.25 30.34 23 27
## .25 .50 .75 .90 .95
## 34 47 72 96 108
##
## lowest : 0 8 9 11 12, highest: 166 190 197 200 223
## ---------------------------------------------------------------------------
## TEAM_BATTING_HR
## n missing distinct Info Mean Gmd .05 .10
## 2276 0 243 1 99.61 69.49 14.0 20.0
## .25 .50 .75 .90 .95
## 42.0 102.0 147.0 179.5 199.0
##
## lowest : 0 3 4 5 6, highest: 247 249 257 260 264
## ---------------------------------------------------------------------------
## TEAM_BATTING_BB
## n missing distinct Info Mean Gmd .05 .10
## 2276 0 533 1 501.6 130.1 248.2 363.5
## .25 .50 .75 .90 .95
## 451.0 512.0 580.0 635.0 670.2
##
## lowest : 0 12 29 34 45, highest: 815 819 824 860 878
## ---------------------------------------------------------------------------
## TEAM_BATTING_SO
## n missing distinct Info Mean Gmd .05 .10
## 2174 102 822 1 735.6 282.2 359 421
## .25 .50 .75 .90 .95
## 548 750 930 1049 1103
##
## lowest : 0 66 67 72 74, highest: 1303 1320 1326 1335 1399
## ---------------------------------------------------------------------------
## TEAM_BASERUN_SB
## n missing distinct Info Mean Gmd .05 .10
## 2145 131 348 1 124.8 87.96 35.0 44.0
## .25 .50 .75 .90 .95
## 66.0 101.0 156.0 231.0 301.8
##
## lowest : 0 14 18 19 20, highest: 562 567 632 654 697
## ---------------------------------------------------------------------------
## TEAM_BASERUN_CS
## n missing distinct Info Mean Gmd .05 .10
## 1504 772 128 1 52.8 23.24 24 30
## .25 .50 .75 .90 .95
## 38 49 62 77 91
##
## lowest : 0 7 11 12 14, highest: 171 186 193 200 201
## ---------------------------------------------------------------------------
## TEAM_BATTING_HBP
## n missing distinct Info Mean Gmd .05 .10
## 191 2085 55 0.999 59.36 14.61 40.0 44.0
## .25 .50 .75 .90 .95
## 50.5 58.0 67.0 76.0 82.5
##
## lowest : 29 30 35 38 39, highest: 87 88 89 90 95
## ---------------------------------------------------------------------------
## TEAM_PITCHING_H
## n missing distinct Info Mean Gmd .05 .10
## 2276 0 843 1 1779 628.1 1316 1356
## .25 .50 .75 .90 .95
## 1419 1518 1682 2058 2563
##
## lowest : 1137 1168 1184 1187 1202, highest: 16038 16871 20088 24057 30132
## ---------------------------------------------------------------------------
## TEAM_PITCHING_HR
## n missing distinct Info Mean Gmd .05 .10
## 2276 0 256 1 105.7 70.02 18.0 25.0
## .25 .50 .75 .90 .95
## 50.0 107.0 150.0 187.0 209.2
##
## lowest : 0 3 4 5 6, highest: 291 297 301 320 343
## ---------------------------------------------------------------------------
## TEAM_PITCHING_BB
## n missing distinct Info Mean Gmd .05 .10
## 2276 0 535 1 553 140.7 377.0 417.5
## .25 .50 .75 .90 .95
## 476.0 536.5 611.0 693.5 757.0
##
## lowest : 0 119 124 131 140, highest: 2169 2396 2840 2876 3645
## ---------------------------------------------------------------------------
## TEAM_PITCHING_SO
## n missing distinct Info Mean Gmd .05 .10
## 2174 102 823 1 817.7 316.9 421.3 490.0
## .25 .50 .75 .90 .95
## 615.0 813.5 968.0 1095.0 1173.0
##
## Value 0 200 400 600 800 1000 1200 1400 1600 1800
## Frequency 20 7 211 554 593 580 156 35 7 2
## Proportion 0.009 0.003 0.097 0.255 0.273 0.267 0.072 0.016 0.003 0.001
##
## Value 2200 2400 3400 4200 5400 12800 19200
## Frequency 1 3 1 1 1 1 1
## Proportion 0.000 0.001 0.000 0.000 0.000 0.000 0.000
## ---------------------------------------------------------------------------
## TEAM_FIELDING_E
## n missing distinct Info Mean Gmd .05 .10
## 2276 0 549 1 246.5 190.4 100.0 109.0
## .25 .50 .75 .90 .95
## 127.0 159.0 249.2 542.0 716.0
##
## lowest : 65 66 68 72 74, highest: 1567 1728 1740 1890 1898
## ---------------------------------------------------------------------------
## TEAM_FIELDING_DP
## n missing distinct Info Mean Gmd .05 .10
## 1990 286 144 1 146.4 29.29 98 109
## .25 .50 .75 .90 .95
## 131 149 164 178 186
##
## lowest : 52 64 68 71 72, highest: 215 218 219 225 228
## ---------------------------------------------------------------------------1.5
####1.6 
####1.7 
1.8
## Var1 Var2 cor
## 76 TEAM_PITCHING_HR TEAM_BATTING_HR 0.9999326
## 93 TEAM_PITCHING_BB TEAM_BATTING_BB 0.9998814
## 110 TEAM_PITCHING_SO TEAM_BATTING_SO 0.9997684
## 27 TEAM_PITCHING_H TEAM_BATTING_H 0.9991927
## 121 TEAM_BASERUN_CS TEAM_BASERUN_SB 0.6247378
## 19 TEAM_BATTING_2B TEAM_BATTING_H 0.5617729
## 43 TEAM_PITCHING_H TEAM_BATTING_2B 0.5604535
## 11 TEAM_PITCHING_H TARGET_WINS 0.4712343
## 2 TEAM_BATTING_H TARGET_WINS 0.4699467
## 6 TEAM_BATTING_BB TARGET_WINS 0.46868792.1
2.2
## TARGET_WINS TEAM_BATTING_H TEAM_BATTING_2B TEAM_BATTING_3B
## 2043 1 1 1 1
## 131 1 1 1 1
## 102 1 1 1 1
## 0 0 0 0
## TEAM_BATTING_HR TEAM_BATTING_BB TEAM_PITCHING_H TEAM_PITCHING_HR
## 2043 1 1 1 1
## 131 1 1 1 1
## 102 1 1 1 1
## 0 0 0 0
## TEAM_PITCHING_BB TEAM_BATTING_SO TEAM_PITCHING_SO TEAM_BASERUN_SB
## 2043 1 1 1 1 0
## 131 1 1 1 0 1
## 102 1 0 0 1 2
## 0 102 102 131 3352.3
## Warning in .S3methods(generic.function, class, parent.frame()): function
## 'mice' appears not to be S3 generic; found functions that look like S3
## methods## [1] mice.impute.2l.bin mice.impute.2l.lmer
## [3] mice.impute.2l.norm mice.impute.2l.pan
## [5] mice.impute.2lonly.mean mice.impute.2lonly.norm
## [7] mice.impute.2lonly.pmm mice.impute.cart
## [9] mice.impute.jomoImpute mice.impute.lda
## [11] mice.impute.logreg mice.impute.logreg.boot
## [13] mice.impute.mean mice.impute.midastouch
## [15] mice.impute.norm mice.impute.norm.boot
## [17] mice.impute.norm.nob mice.impute.norm.predict
## [19] mice.impute.panImpute mice.impute.passive
## [21] mice.impute.pmm mice.impute.polr
## [23] mice.impute.polyreg mice.impute.quadratic
## [25] mice.impute.rf mice.impute.ri
## [27] mice.impute.sample mice.mids
## [29] mice.theme
## see '?methods' for accessing help and source code2.4
##
## iter imp variable
## 1 1 TEAM_BATTING_SO TEAM_BASERUN_SB TEAM_PITCHING_SO
## 1 2 TEAM_BATTING_SO TEAM_BASERUN_SB TEAM_PITCHING_SO
## 1 3 TEAM_BATTING_SO TEAM_BASERUN_SB TEAM_PITCHING_SO
## 1 4 TEAM_BATTING_SO TEAM_BASERUN_SB TEAM_PITCHING_SO
## 1 5 TEAM_BATTING_SO TEAM_BASERUN_SB TEAM_PITCHING_SO
## 2 1 TEAM_BATTING_SO TEAM_BASERUN_SB TEAM_PITCHING_SO
## 2 2 TEAM_BATTING_SO TEAM_BASERUN_SB TEAM_PITCHING_SO
## 2 3 TEAM_BATTING_SO TEAM_BASERUN_SB TEAM_PITCHING_SO
## 2 4 TEAM_BATTING_SO TEAM_BASERUN_SB TEAM_PITCHING_SO
## 2 5 TEAM_BATTING_SO TEAM_BASERUN_SB TEAM_PITCHING_SO
## 3 1 TEAM_BATTING_SO TEAM_BASERUN_SB TEAM_PITCHING_SO
## 3 2 TEAM_BATTING_SO TEAM_BASERUN_SB TEAM_PITCHING_SO
## 3 3 TEAM_BATTING_SO TEAM_BASERUN_SB TEAM_PITCHING_SO
## 3 4 TEAM_BATTING_SO TEAM_BASERUN_SB TEAM_PITCHING_SO
## 3 5 TEAM_BATTING_SO TEAM_BASERUN_SB TEAM_PITCHING_SO
## 4 1 TEAM_BATTING_SO TEAM_BASERUN_SB TEAM_PITCHING_SO
## 4 2 TEAM_BATTING_SO TEAM_BASERUN_SB TEAM_PITCHING_SO
## 4 3 TEAM_BATTING_SO TEAM_BASERUN_SB TEAM_PITCHING_SO
## 4 4 TEAM_BATTING_SO TEAM_BASERUN_SB TEAM_PITCHING_SO
## 4 5 TEAM_BATTING_SO TEAM_BASERUN_SB TEAM_PITCHING_SO
## 5 1 TEAM_BATTING_SO TEAM_BASERUN_SB TEAM_PITCHING_SO
## 5 2 TEAM_BATTING_SO TEAM_BASERUN_SB TEAM_PITCHING_SO
## 5 3 TEAM_BATTING_SO TEAM_BASERUN_SB TEAM_PITCHING_SO
## 5 4 TEAM_BATTING_SO TEAM_BASERUN_SB TEAM_PITCHING_SO
## 5 5 TEAM_BATTING_SO TEAM_BASERUN_SB TEAM_PITCHING_SO## Class: mids
## Number of multiple imputations: 5
## Imputation methods:
## TARGET_WINS TEAM_BATTING_H TEAM_BATTING_2B TEAM_BATTING_3B
## "" "" "" ""
## TEAM_BATTING_HR TEAM_BATTING_BB TEAM_BATTING_SO TEAM_BASERUN_SB
## "" "" "pmm" "pmm"
## TEAM_PITCHING_H TEAM_PITCHING_HR TEAM_PITCHING_BB TEAM_PITCHING_SO
## "" "" "" "pmm"
## PredictorMatrix:
## TARGET_WINS TEAM_BATTING_H TEAM_BATTING_2B TEAM_BATTING_3B
## TARGET_WINS 0 1 1 1
## TEAM_BATTING_H 1 0 1 1
## TEAM_BATTING_2B 1 1 0 1
## TEAM_BATTING_3B 1 1 1 0
## TEAM_BATTING_HR 1 1 1 1
## TEAM_BATTING_BB 1 1 1 1
## TEAM_BATTING_HR TEAM_BATTING_BB TEAM_BATTING_SO
## TARGET_WINS 1 1 1
## TEAM_BATTING_H 0 1 1
## TEAM_BATTING_2B 1 1 1
## TEAM_BATTING_3B 1 1 1
## TEAM_BATTING_HR 0 1 1
## TEAM_BATTING_BB 1 0 1
## TEAM_BASERUN_SB TEAM_PITCHING_H TEAM_PITCHING_HR
## TARGET_WINS 1 1 1
## TEAM_BATTING_H 1 1 1
## TEAM_BATTING_2B 1 1 1
## TEAM_BATTING_3B 1 1 1
## TEAM_BATTING_HR 1 1 1
## TEAM_BATTING_BB 1 1 1
## TEAM_PITCHING_BB TEAM_PITCHING_SO
## TARGET_WINS 1 1
## TEAM_BATTING_H 1 1
## TEAM_BATTING_2B 1 1
## TEAM_BATTING_3B 1 1
## TEAM_BATTING_HR 1 1
## TEAM_BATTING_BB 1 12.5
## TARGET_WINS TEAM_BATTING_H TEAM_BATTING_2B TEAM_BATTING_3B
## Min. : 0.00 Min. : 891 Min. : 69.0 Min. : 0.00
## 1st Qu.: 71.00 1st Qu.:1383 1st Qu.:208.0 1st Qu.: 34.00
## Median : 82.00 Median :1454 Median :238.0 Median : 47.00
## Mean : 80.79 Mean :1469 Mean :241.2 Mean : 55.25
## 3rd Qu.: 92.00 3rd Qu.:1537 3rd Qu.:273.0 3rd Qu.: 72.00
## Max. :146.00 Max. :2554 Max. :458.0 Max. :223.00
## TEAM_BATTING_HR TEAM_BATTING_BB TEAM_BATTING_SO TEAM_BASERUN_SB
## Min. : 0.00 Min. : 0.0 Min. : 0.0 Min. : 0
## 1st Qu.: 42.00 1st Qu.:451.0 1st Qu.: 542.8 1st Qu.: 67
## Median :102.00 Median :512.0 Median : 734.5 Median :105
## Mean : 99.61 Mean :501.6 Mean : 727.9 Mean :131
## 3rd Qu.:147.00 3rd Qu.:580.0 3rd Qu.: 925.0 3rd Qu.:166
## Max. :264.00 Max. :878.0 Max. :1399.0 Max. :697
## TEAM_PITCHING_H TEAM_PITCHING_HR TEAM_PITCHING_BB TEAM_PITCHING_SO
## Min. : 1137 Min. : 0.0 Min. : 0.0 Min. : 0.0
## 1st Qu.: 1419 1st Qu.: 50.0 1st Qu.: 476.0 1st Qu.: 608.0
## Median : 1518 Median :107.0 Median : 536.5 Median : 804.0
## Mean : 1779 Mean :105.7 Mean : 553.0 Mean : 810.2
## 3rd Qu.: 1682 3rd Qu.:150.0 3rd Qu.: 611.0 3rd Qu.: 958.0
## Max. :30132 Max. :343.0 Max. :3645.0 Max. :19278.02.6
## [1] FALSE3.1
##
## Call:
## lm(formula = TARGET_WINS ~ ., data = ImpData)
##
## Residuals:
## Min 1Q Median 3Q Max
## -51.452 -8.709 0.493 8.829 57.612
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) 9.6239893 5.0662274 1.900 0.057608 .
## TEAM_BATTING_H 0.0401413 0.0038087 10.539 < 2e-16 ***
## TEAM_BATTING_2B -0.0048392 0.0093298 -0.519 0.604036
## TEAM_BATTING_3B 0.0272213 0.0173942 1.565 0.117732
## TEAM_BATTING_HR 0.0744475 0.0280404 2.655 0.007986 **
## TEAM_BATTING_BB 0.0220633 0.0057139 3.861 0.000116 ***
## TEAM_BATTING_SO -0.0115807 0.0026351 -4.395 1.16e-05 ***
## TEAM_BASERUN_SB 0.0352229 0.0040502 8.697 < 2e-16 ***
## TEAM_PITCHING_H -0.0021317 0.0003392 -6.283 3.96e-10 ***
## TEAM_PITCHING_HR 0.0023337 0.0248719 0.094 0.925253
## TEAM_PITCHING_BB -0.0029398 0.0042271 -0.695 0.486836
## TEAM_PITCHING_SO 0.0029107 0.0009333 3.119 0.001838 **
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 13.38 on 2264 degrees of freedom
## Multiple R-squared: 0.282, Adjusted R-squared: 0.2785
## F-statistic: 80.84 on 11 and 2264 DF, p-value: < 2.2e-163.2
####3.3
##
## Call:
## lm(formula = TARGET_WINS ~ TEAM_BATTING_H + TEAM_BATTING_2B +
## TEAM_BATTING_3B + TEAM_BATTING_HR + TEAM_BATTING_BB + TEAM_BASERUN_SB +
## TEAM_PITCHING_SO, data = ImpData)
##
## Residuals:
## Min 1Q Median 3Q Max
## -66.314 -8.827 0.549 8.858 58.614
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) 0.8411612 3.7206333 0.226 0.82116
## TEAM_BATTING_H 0.0374678 0.0031545 11.878 < 2e-16 ***
## TEAM_BATTING_2B -0.0045885 0.0091042 -0.504 0.61431
## TEAM_BATTING_3B 0.0502060 0.0171571 2.926 0.00346 **
## TEAM_BATTING_HR 0.0593756 0.0077951 7.617 3.78e-14 ***
## TEAM_BATTING_BB 0.0271290 0.0028144 9.639 < 2e-16 ***
## TEAM_BASERUN_SB 0.0325174 0.0038628 8.418 < 2e-16 ***
## TEAM_PITCHING_SO -0.0006768 0.0005915 -1.144 0.25272
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 13.58 on 2268 degrees of freedom
## Multiple R-squared: 0.2591, Adjusted R-squared: 0.2568
## F-statistic: 113.3 on 7 and 2268 DF, p-value: < 2.2e-163.4
####3.5
##
## Call:
## lm(formula = TARGET_WINS ~ TEAM_BATTING_H + TEAM_BATTING_HR +
## TEAM_BASERUN_SB + TEAM_BATTING_BB + TEAM_BATTING_SO + TEAM_PITCHING_H,
## data = ImpData)
##
## Residuals:
## Min 1Q Median 3Q Max
## -51.733 -8.899 0.404 8.875 74.697
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) 10.8786744 4.6243277 2.352 0.0187 *
## TEAM_BATTING_H 0.0393371 0.0026394 14.904 < 2e-16 ***
## TEAM_BATTING_HR 0.0703116 0.0096233 7.306 3.78e-13 ***
## TEAM_BASERUN_SB 0.0392110 0.0036493 10.745 < 2e-16 ***
## TEAM_BATTING_BB 0.0191909 0.0029179 6.577 5.94e-11 ***
## TEAM_BATTING_SO -0.0087567 0.0022246 -3.936 8.53e-05 ***
## TEAM_PITCHING_H -0.0018411 0.0002372 -7.762 1.26e-14 ***
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 13.41 on 2269 degrees of freedom
## Multiple R-squared: 0.277, Adjusted R-squared: 0.2751
## F-statistic: 144.9 on 6 and 2269 DF, p-value: < 2.2e-163.6
####4.1
## [1] "TEAM_BATTING_H" "TEAM_BATTING_2B" "TEAM_BATTING_3B"
## [4] "TEAM_BATTING_HR" "TEAM_BATTING_BB" "TEAM_BATTING_SO"
## [7] "TEAM_BASERUN_SB" "TEAM_BASERUN_CS" "TEAM_BATTING_HBP"
## [10] "TEAM_PITCHING_H" "TEAM_PITCHING_HR" "TEAM_PITCHING_BB"
## [13] "TEAM_PITCHING_SO" "TEAM_FIELDING_E" "TEAM_FIELDING_DP"4.2
## TEAM_BATTING_H TEAM_BATTING_2B TEAM_BATTING_3B TEAM_BATTING_HR
## Min. : 819 Min. : 44.0 Min. : 14.00 Min. : 0.00
## 1st Qu.:1387 1st Qu.:210.0 1st Qu.: 35.00 1st Qu.: 44.50
## Median :1455 Median :239.0 Median : 52.00 Median :101.00
## Mean :1469 Mean :241.3 Mean : 55.91 Mean : 95.63
## 3rd Qu.:1548 3rd Qu.:278.5 3rd Qu.: 72.00 3rd Qu.:135.50
## Max. :2170 Max. :376.0 Max. :155.00 Max. :242.00
##
## TEAM_BATTING_BB TEAM_BATTING_SO TEAM_BASERUN_SB TEAM_BASERUN_CS
## Min. : 15.0 Min. : 0.0 Min. : 0.0 Min. : 0.00
## 1st Qu.:436.5 1st Qu.: 545.0 1st Qu.: 59.0 1st Qu.: 38.00
## Median :509.0 Median : 686.0 Median : 92.0 Median : 49.50
## Mean :499.0 Mean : 709.3 Mean :123.7 Mean : 52.32
## 3rd Qu.:565.5 3rd Qu.: 912.0 3rd Qu.:151.8 3rd Qu.: 63.00
## Max. :792.0 Max. :1268.0 Max. :580.0 Max. :154.00
## NA's :18 NA's :13 NA's :87
## TEAM_BATTING_HBP TEAM_PITCHING_H TEAM_PITCHING_HR TEAM_PITCHING_BB
## Min. :42.00 Min. : 1155 Min. : 0.0 Min. : 136.0
## 1st Qu.:53.50 1st Qu.: 1426 1st Qu.: 52.0 1st Qu.: 471.0
## Median :62.00 Median : 1515 Median :104.0 Median : 526.0
## Mean :62.37 Mean : 1813 Mean :102.1 Mean : 552.4
## 3rd Qu.:67.50 3rd Qu.: 1681 3rd Qu.:142.5 3rd Qu.: 606.5
## Max. :96.00 Max. :22768 Max. :336.0 Max. :2008.0
## NA's :240
## TEAM_PITCHING_SO TEAM_FIELDING_E TEAM_FIELDING_DP
## Min. : 0.0 Min. : 73.0 Min. : 69.0
## 1st Qu.: 613.0 1st Qu.: 131.0 1st Qu.:131.0
## Median : 745.0 Median : 163.0 Median :148.0
## Mean : 799.7 Mean : 249.7 Mean :146.1
## 3rd Qu.: 938.0 3rd Qu.: 252.0 3rd Qu.:164.0
## Max. :9963.0 Max. :1568.0 Max. :204.0
## NA's :18 NA's :314.3
## Skim summary statistics
## n obs: 259
## n variables: 15
##
## ── Variable type:integer ──────────────────────────────────────────────────
## variable missing complete n mean sd p0 p25 p50
## TEAM_BASERUN_CS 87 172 259 52.32 23.1 0 38 49.5
## TEAM_BASERUN_SB 13 246 259 123.7 93.39 0 59 92
## TEAM_BATTING_2B 0 259 259 241.32 49.52 44 210 239
## TEAM_BATTING_3B 0 259 259 55.91 27.14 14 35 52
## TEAM_BATTING_BB 0 259 259 498.96 120.59 15 436.5 509
## TEAM_BATTING_H 0 259 259 1469.39 150.66 819 1387 1455
## TEAM_BATTING_HBP 240 19 259 62.37 12.71 42 53.5 62
## TEAM_BATTING_HR 0 259 259 95.63 56.33 0 44.5 101
## TEAM_BATTING_SO 18 241 259 709.34 243.11 0 545 686
## TEAM_FIELDING_DP 31 228 259 146.06 25.88 69 131 148
## TEAM_FIELDING_E 0 259 259 249.75 230.9 73 131 163
## TEAM_PITCHING_BB 0 259 259 552.42 172.95 136 471 526
## TEAM_PITCHING_H 0 259 259 1813.46 1662.91 1155 1426.5 1515
## TEAM_PITCHING_HR 0 259 259 102.15 57.65 0 52 104
## TEAM_PITCHING_SO 18 241 259 799.67 634.31 0 613 745
## p75 p100 hist
## 63 154 ▁▅▇▅▁▁▁▁
## 151.75 580 ▇▇▃▁▁▁▁▁
## 278.5 376 ▁▁▁▅▇▇▃▁
## 72 155 ▅▇▆▅▂▁▁▁
## 565.5 792 ▁▁▁▂▆▇▃▁
## 1548 2170 ▁▁▂▇▅▁▁▁
## 67.5 96 ▃▇▅▇▃▂▁▂
## 135.5 242 ▆▆▃▇▆▃▂▁
## 912 1268 ▁▁▃▇▆▆▆▁
## 164 204 ▁▁▂▅▇▇▃▂
## 252 1568 ▇▂▁▁▁▁▁▁
## 606.5 2008 ▁▇▂▁▁▁▁▁
## 1681 22768 ▇▁▁▁▁▁▁▁
## 142.5 336 ▆▆▇▇▃▁▁▁
## 938 9963 ▇▁▁▁▁▁▁▁4.4
4.5
## [1] 13.39098##
## iter imp variable
## 1 1 TEAM_BATTING_SO TEAM_BASERUN_SB TEAM_PITCHING_SO
## 1 2 TEAM_BATTING_SO TEAM_BASERUN_SB TEAM_PITCHING_SO
## 1 3 TEAM_BATTING_SO TEAM_BASERUN_SB TEAM_PITCHING_SO
## 1 4 TEAM_BATTING_SO TEAM_BASERUN_SB TEAM_PITCHING_SO
## 1 5 TEAM_BATTING_SO TEAM_BASERUN_SB TEAM_PITCHING_SO
## 2 1 TEAM_BATTING_SO TEAM_BASERUN_SB TEAM_PITCHING_SO
## 2 2 TEAM_BATTING_SO TEAM_BASERUN_SB TEAM_PITCHING_SO
## 2 3 TEAM_BATTING_SO TEAM_BASERUN_SB TEAM_PITCHING_SO
## 2 4 TEAM_BATTING_SO TEAM_BASERUN_SB TEAM_PITCHING_SO
## 2 5 TEAM_BATTING_SO TEAM_BASERUN_SB TEAM_PITCHING_SO
## 3 1 TEAM_BATTING_SO TEAM_BASERUN_SB TEAM_PITCHING_SO
## 3 2 TEAM_BATTING_SO TEAM_BASERUN_SB TEAM_PITCHING_SO
## 3 3 TEAM_BATTING_SO TEAM_BASERUN_SB TEAM_PITCHING_SO
## 3 4 TEAM_BATTING_SO TEAM_BASERUN_SB TEAM_PITCHING_SO
## 3 5 TEAM_BATTING_SO TEAM_BASERUN_SB TEAM_PITCHING_SO
## 4 1 TEAM_BATTING_SO TEAM_BASERUN_SB TEAM_PITCHING_SO
## 4 2 TEAM_BATTING_SO TEAM_BASERUN_SB TEAM_PITCHING_SO
## 4 3 TEAM_BATTING_SO TEAM_BASERUN_SB TEAM_PITCHING_SO
## 4 4 TEAM_BATTING_SO TEAM_BASERUN_SB TEAM_PITCHING_SO
## 4 5 TEAM_BATTING_SO TEAM_BASERUN_SB TEAM_PITCHING_SO
## 5 1 TEAM_BATTING_SO TEAM_BASERUN_SB TEAM_PITCHING_SO
## 5 2 TEAM_BATTING_SO TEAM_BASERUN_SB TEAM_PITCHING_SO
## 5 3 TEAM_BATTING_SO TEAM_BASERUN_SB TEAM_PITCHING_SO
## 5 4 TEAM_BATTING_SO TEAM_BASERUN_SB TEAM_PITCHING_SO
## 5 5 TEAM_BATTING_SO TEAM_BASERUN_SB TEAM_PITCHING_SO## Class: mids
## Number of multiple imputations: 5
## Imputation methods:
## TEAM_BATTING_H TEAM_BATTING_2B TEAM_BATTING_3B TEAM_BATTING_HR
## "" "" "" ""
## TEAM_BATTING_BB TEAM_BATTING_SO TEAM_BASERUN_SB TEAM_PITCHING_H
## "" "pmm" "pmm" ""
## TEAM_PITCHING_HR TEAM_PITCHING_BB TEAM_PITCHING_SO
## "" "" "pmm"
## PredictorMatrix:
## TEAM_BATTING_H TEAM_BATTING_2B TEAM_BATTING_3B
## TEAM_BATTING_H 0 1 1
## TEAM_BATTING_2B 1 0 1
## TEAM_BATTING_3B 1 1 0
## TEAM_BATTING_HR 1 1 1
## TEAM_BATTING_BB 1 1 1
## TEAM_BATTING_SO 1 1 1
## TEAM_BATTING_HR TEAM_BATTING_BB TEAM_BATTING_SO
## TEAM_BATTING_H 0 1 1
## TEAM_BATTING_2B 1 1 1
## TEAM_BATTING_3B 1 1 1
## TEAM_BATTING_HR 0 1 1
## TEAM_BATTING_BB 1 0 1
## TEAM_BATTING_SO 1 1 0
## TEAM_BASERUN_SB TEAM_PITCHING_H TEAM_PITCHING_HR
## TEAM_BATTING_H 1 1 1
## TEAM_BATTING_2B 1 1 1
## TEAM_BATTING_3B 1 1 1
## TEAM_BATTING_HR 1 1 1
## TEAM_BATTING_BB 1 1 1
## TEAM_BATTING_SO 1 1 1
## TEAM_PITCHING_BB TEAM_PITCHING_SO
## TEAM_BATTING_H 1 1
## TEAM_BATTING_2B 1 1
## TEAM_BATTING_3B 1 1
## TEAM_BATTING_HR 1 1
## TEAM_BATTING_BB 1 1
## TEAM_BATTING_SO 1 1ImpData2 <- complete(tempData2)
summary(ImpData2)## TEAM_BATTING_H TEAM_BATTING_2B TEAM_BATTING_3B TEAM_BATTING_HR
## Min. : 819 Min. : 44.0 Min. : 14.00 Min. : 0.00
## 1st Qu.:1387 1st Qu.:210.0 1st Qu.: 35.00 1st Qu.: 44.50
## Median :1455 Median :239.0 Median : 52.00 Median :101.00
## Mean :1469 Mean :241.3 Mean : 55.91 Mean : 95.63
## 3rd Qu.:1548 3rd Qu.:278.5 3rd Qu.: 72.00 3rd Qu.:135.50
## Max. :2170 Max. :376.0 Max. :155.00 Max. :242.00
## TEAM_BATTING_BB TEAM_BATTING_SO TEAM_BASERUN_SB TEAM_PITCHING_H
## Min. : 15.0 Min. : 0.0 Min. : 0.0 Min. : 1155
## 1st Qu.:436.5 1st Qu.: 539.5 1st Qu.: 59.0 1st Qu.: 1426
## Median :509.0 Median : 674.0 Median : 95.0 Median : 1515
## Mean :499.0 Mean : 696.0 Mean :130.8 Mean : 1813
## 3rd Qu.:565.5 3rd Qu.: 904.5 3rd Qu.:159.0 3rd Qu.: 1681
## Max. :792.0 Max. :1268.0 Max. :580.0 Max. :22768
## TEAM_PITCHING_HR TEAM_PITCHING_BB TEAM_PITCHING_SO
## Min. : 0.0 Min. : 136.0 Min. : 0.0
## 1st Qu.: 52.0 1st Qu.: 471.0 1st Qu.: 602.0
## Median :104.0 Median : 526.0 Median : 731.0
## Mean :102.1 Mean : 552.4 Mean : 788.3
## 3rd Qu.:142.5 3rd Qu.: 606.5 3rd Qu.: 927.5
## Max. :336.0 Max. :2008.0 Max. :9963.0prediction <- predict(model3, newdata = ImpData2, interval="prediction")
prediction## fit lwr upr
## 1 63.59941 37.249676 89.94915
## 2 66.73366 40.403493 93.06383
## 3 74.66074 48.345693 100.97580
## 4 86.89097 60.571300 113.21063
## 5 72.16529 45.768670 98.56191
## 6 74.88779 48.527160 101.24841
## 7 87.48726 61.128666 113.84586
## 8 73.44040 47.119807 99.76099
## 9 68.34175 42.012401 94.67110
## 10 72.76864 46.447980 99.08930
## 11 74.16953 47.846662 100.49241
## 12 83.24154 56.903258 109.57983
## 13 81.51054 55.163655 107.85743
## 14 82.61494 56.269343 108.96053
## 15 79.49731 53.167113 105.82751
## 16 79.42826 53.097529 105.75899
## 17 72.51177 46.192971 98.83057
## 18 81.48289 55.165770 107.80000
## 19 68.32130 41.983952 94.65864
## 20 93.32070 66.982077 119.65933
## 21 82.18557 55.847914 108.52322
## 22 86.71547 60.387180 113.04376
## 23 80.94743 54.621140 107.27371
## 24 75.71865 49.396583 102.04073
## 25 82.27251 55.951204 108.59382
## 26 86.90621 60.585213 113.22721
## 27 63.23385 36.789103 89.67860
## 28 74.60188 48.275575 100.92819
## 29 82.97564 56.625671 109.32561
## 30 74.54100 48.204991 100.87701
## 31 91.01484 64.676749 117.35293
## 32 86.57007 60.245401 112.89474
## 33 85.29504 58.956760 111.63333
## 34 88.60092 62.254862 114.94698
## 35 79.05966 52.744972 105.37436
## 36 85.39412 59.058026 111.73021
## 37 75.74304 49.430434 102.05565
## 38 89.23917 62.902256 115.57608
## 39 84.01999 57.700564 110.33942
## 40 87.23603 60.908961 113.56311
## 41 84.06580 57.748164 110.38344
## 42 86.55832 60.239318 112.87732
## 43 50.12157 23.517295 76.72584
## 44 105.73615 79.248974 132.22332
## 45 94.55449 68.180225 120.92876
## 46 96.24999 69.892864 122.60711
## 47 99.44868 73.096280 125.80108
## 48 73.08602 46.766942 99.40510
## 49 68.62725 42.299520 94.95498
## 50 76.01920 49.697983 102.34041
## 51 77.85769 51.534365 104.18101
## 52 85.76909 59.446637 112.09155
## 53 76.43613 50.117309 102.75495
## 54 71.57009 45.243399 97.89677
## 55 76.00832 49.693453 102.32319
## 56 75.31181 48.996463 101.62715
## 57 91.64459 65.294225 117.99496
## 58 70.83633 44.504552 97.16811
## 59 63.34571 36.989701 89.70172
## 60 81.14068 54.704903 107.57645
## 61 83.41502 57.095361 109.73468
## 62 77.99882 51.625278 104.37235
## 63 85.79778 59.485192 112.11037
## 64 87.04101 60.680457 113.40155
## 65 84.25596 57.907521 110.60440
## 66 97.56954 71.173666 123.96541
## 67 74.90471 48.586602 101.22281
## 68 79.73736 53.400726 106.07399
## 69 78.87923 52.544110 105.21435
## 70 85.24679 58.898211 111.59537
## 71 82.33237 55.993816 108.67093
## 72 74.27144 47.946778 100.59611
## 73 82.85456 56.525669 109.18344
## 74 88.00307 61.627979 114.37817
## 75 78.68596 52.331204 105.04071
## 76 84.39043 58.059064 110.72180
## 77 81.39204 55.072483 107.71159
## 78 81.03471 54.715442 107.35398
## 79 70.66750 44.329625 97.00538
## 80 74.31504 47.991722 100.63836
## 81 88.04576 61.717734 114.37378
## 82 86.77622 60.450967 113.10148
## 83 96.18063 69.835203 122.52606
## 84 80.29359 53.970594 106.61659
## 85 84.53015 58.209193 110.85110
## 86 82.06396 55.736573 108.39134
## 87 79.58444 53.261636 105.90724
## 88 81.28402 54.975416 107.59263
## 89 86.15301 59.828625 112.47740
## 90 90.57586 64.246199 116.90552
## 91 82.61952 56.286937 108.95211
## 92 89.76079 63.141114 116.38047
## 93 76.06157 49.728670 102.39446
## 94 78.53682 52.209838 104.86381
## 95 81.15670 54.828241 107.48516
## 96 79.17196 52.847441 105.49648
## 97 85.38387 59.018136 111.74959
## 98 95.69763 69.326797 122.06846
## 99 86.24018 59.888472 112.59188
## 100 89.23906 62.905710 115.57240
## 101 80.89449 54.572992 107.21598
## 102 75.64071 49.310107 101.97131
## 103 83.00143 56.683939 109.31891
## 104 81.98074 55.653876 108.30761
## 105 80.99022 54.651934 107.32851
## 106 83.47345 57.093876 109.85303
## 107 70.32440 43.916324 96.73248
## 108 79.81517 53.481702 106.14864
## 109 84.76061 58.441802 111.07941
## 110 65.22457 38.883463 91.56567
## 111 84.34098 58.022187 110.65978
## 112 85.23817 58.919757 111.55659
## 113 90.99000 64.672484 117.30752
## 114 87.32577 61.006481 113.64507
## 115 79.40886 53.091100 105.72662
## 116 79.34121 53.024775 105.65764
## 117 88.44620 62.124438 114.76797
## 118 81.25981 54.948321 107.57130
## 119 75.30806 48.976729 101.63939
## 120 82.11020 55.737012 108.48339
## 121 90.79879 64.451423 117.14616
## 122 68.81718 42.475653 95.15871
## 123 65.89509 39.557693 92.23248
## 124 59.99920 33.624955 86.37344
## 125 67.39508 41.063373 93.72680
## 126 83.94680 57.605888 110.28771
## 127 86.52647 60.183289 112.86965
## 128 73.06376 46.742420 99.38509
## 129 88.38456 62.062195 114.70693
## 130 91.87977 65.545054 118.21448
## 131 85.89333 59.562832 112.22383
## 132 80.89433 54.569635 107.21902
## 133 78.29320 51.977465 104.60893
## 134 82.26198 55.929592 108.59436
## 135 84.24469 57.916417 110.57296
## 136 78.92169 52.564373 105.27901
## 137 75.16523 48.852855 101.47760
## 138 76.69776 50.382284 103.01323
## 139 85.04893 58.729871 111.36798
## 140 81.03777 54.726462 107.34907
## 141 63.56112 37.207726 89.91451
## 142 68.08460 41.752340 94.41686
## 143 91.22394 64.884808 117.56308
## 144 76.45264 50.127881 102.77740
## 145 73.12990 46.792893 99.46690
## 146 73.65022 47.329680 99.97075
## 147 79.52378 53.211629 105.83594
## 148 81.32196 55.004811 107.63911
## 149 83.26136 56.949382 109.57334
## 150 80.75303 54.440146 107.06591
## 151 83.11443 56.785444 109.44341
## 152 79.05029 52.722629 105.37795
## 153 29.67906 1.926336 57.43178
## 154 69.59005 43.252429 95.92767
## 155 74.54956 48.226712 100.87241
## 156 72.89117 46.566812 99.21553
## 157 86.86645 60.535442 113.19746
## 158 74.19156 47.863183 100.51993
## 159 88.30560 61.978924 114.63228
## 160 72.31933 45.995392 98.64326
## 161 99.83831 73.490249 126.18638
## 162 104.18257 77.808183 130.55695
## 163 89.23074 62.899082 115.56240
## 164 102.74055 76.373962 129.10713
## 165 96.08635 69.732264 122.44044
## 166 88.52202 62.175575 114.86846
## 167 84.02446 57.707641 110.34128
## 168 83.55806 57.216940 109.89917
## 169 74.65171 48.324866 100.97856
## 170 82.59612 56.282986 108.90926
## 171 87.64241 61.306874 113.97795
## 172 84.18219 57.857384 110.50700
## 173 79.27022 52.945914 105.59453
## 174 90.36170 64.022933 116.70046
## 175 83.31729 57.001823 109.63276
## 176 75.50373 49.165825 101.84163
## 177 79.60848 53.260359 105.95661
## 178 75.95172 49.638539 102.26491
## 179 74.48432 48.167023 100.80162
## 180 81.19596 54.881748 107.51018
## 181 86.31705 59.945191 112.68892
## 182 86.18765 59.858436 112.51687
## 183 85.19665 58.883855 111.50944
## 184 84.32599 58.001363 110.65062
## 185 87.16730 60.588734 113.74587
## 186 101.35435 74.890951 127.81775
## 187 94.25825 67.902056 120.61444
## 188 71.98037 45.637717 98.32302
## 189 75.38460 49.022257 101.74695
## 190 113.95237 87.522869 140.38187
## 191 72.19958 45.879034 98.52013
## 192 78.56308 52.241546 104.88461
## 193 75.46305 49.130615 101.79549
## 194 78.34183 52.018841 104.66481
## 195 80.69806 54.365622 107.03049
## 196 71.97117 45.644146 98.29819
## 197 77.61039 51.296831 103.92394
## 198 80.58473 54.248553 106.92091
## 199 78.90326 52.580962 105.22556
## 200 81.71298 55.390387 108.03558
## 201 74.86599 48.537840 101.19414
## 202 76.89730 50.572600 103.22200
## 203 70.48793 44.151447 96.82442
## 204 84.83101 58.519105 111.14291
## 205 79.33821 53.030662 105.64576
## 206 80.31801 53.998753 106.63728
## 207 77.85671 51.521279 104.19215
## 208 75.68486 49.360765 102.00896
## 209 85.22637 58.901276 111.55147
## 210 78.68354 52.360633 105.00645
## 211 103.02724 76.656359 129.39811
## 212 89.18323 62.848879 115.51758
## 213 79.26845 52.952972 105.58394
## 214 69.83330 43.509118 96.15748
## 215 71.69051 45.367516 98.01351
## 216 82.82859 56.508750 109.14842
## 217 80.56972 54.250411 106.88903
## 218 89.95190 63.619708 116.28409
## 219 75.51907 49.205670 101.83247
## 220 76.10116 49.785297 102.41702
## 221 78.48313 52.155560 104.81071
## 222 75.20344 48.867316 101.53956
## 223 84.31893 57.999142 110.63871
## 224 75.89460 49.560643 102.22856
## 225 89.30813 62.775958 115.84030
## 226 74.59734 48.284010 100.91067
## 227 79.53307 53.221401 105.84473
## 228 81.28240 54.949325 107.61548
## 229 79.95468 53.637610 106.27174
## 230 82.23571 55.894786 108.57664
## 231 74.84544 48.511875 101.17900
## 232 90.40315 64.079233 116.72707
## 233 82.49973 56.168075 108.83138
## 234 87.73794 61.397052 114.07882
## 235 79.55116 53.240582 105.86174
## 236 72.29526 45.978614 98.61191
## 237 81.45192 55.125158 107.77868
## 238 75.46845 49.151593 101.78530
## 239 92.01425 65.679852 118.34864
## 240 71.54309 45.223759 97.86242
## 241 86.47663 60.159355 112.79391
## 242 85.68718 59.361370 112.01299
## 243 82.71581 56.390730 109.04089
## 244 82.16530 55.851047 108.47956
## 245 64.83755 38.491190 91.18390
## 246 88.30162 61.981490 114.62174
## 247 78.37410 52.059348 104.68885
## 248 83.88267 57.558310 110.20703
## 249 73.11425 46.790548 99.43796
## 250 85.97782 59.638951 112.31669
## 251 81.46013 55.132262 107.78800
## 252 66.59921 40.223327 92.97509
## 253 96.47121 70.115741 122.82667
## 254 37.64061 10.995194 64.28602
## 255 69.07257 42.751320 95.39381
## 256 79.65273 53.322084 105.98337
## 257 77.85666 51.535489 104.17783
## 258 84.13688 57.816215 110.45754
## 259 77.83785 51.505401 104.17030