REGRESSION MODELING
Linear OLS Model
##
## Call:
## lm(formula = log(WageK) ~ Overall + Reputation + Position + Age +
## I(Age^2) + log(ReleaseClauseM) + Potential + PreferredFoot +
## WeakFoot, data = FifaF.df)
##
## Residuals:
## Min 1Q Median 3Q Max
## -4.1999 -0.3524 0.0298 0.4074 2.0443
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) 6.9625324 0.4391919 15.853 < 2e-16 ***
## Overall -0.0011672 0.0041123 -0.284 0.77654
## Reputation2 0.4087263 0.0225303 18.141 < 2e-16 ***
## Reputation3 0.7066106 0.0414373 17.053 < 2e-16 ***
## Reputation4 1.0991885 0.0957692 11.477 < 2e-16 ***
## Reputation5 1.0978518 0.2687642 4.085 4.43e-05 ***
## PositionDefence 0.0652526 0.0156639 4.166 3.12e-05 ***
## PositionGoalKeeper 0.0829468 0.0208774 3.973 7.13e-05 ***
## PositionMidField -0.0452574 0.0145190 -3.117 0.00183 **
## Age -0.2450915 0.0201163 -12.184 < 2e-16 ***
## I(Age^2) 0.0052675 0.0003486 15.112 < 2e-16 ***
## log(ReleaseClauseM) 0.8240345 0.0182782 45.083 < 2e-16 ***
## Potential -0.0448949 0.0032458 -13.832 < 2e-16 ***
## PreferredFootRight -0.0167341 0.0123060 -1.360 0.17390
## WeakFoot 0.0046851 0.0082992 0.565 0.57240
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 0.6545 on 16628 degrees of freedom
## Multiple R-squared: 0.7166, Adjusted R-squared: 0.7164
## F-statistic: 3003 on 14 and 16628 DF, p-value: < 2.2e-16
Linear OLS Model With Interactions
##
## Call:
## lm(formula = log(WageK) ~ Overall + Reputation * Overall + Position *
## Overall + Age * Overall + I(Age^2) + log(ReleaseClauseM) *
## Overall + ClubName, data = FifaF.df)
##
## Residuals:
## Min 1Q Median 3Q Max
## -4.1779 -0.3183 0.0069 0.3769 1.7866
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) 1.1365836 0.3163111 3.593 0.000328 ***
## Overall -0.0270132 0.0053317 -5.067 4.09e-07 ***
## Reputation2 4.5260286 0.3813615 11.868 < 2e-16 ***
## Reputation3 7.2596790 0.8703952 8.341 < 2e-16 ***
## Reputation4 6.0804889 2.4520766 2.480 0.013158 *
## Reputation5 -0.0180312 7.4156254 -0.002 0.998060
## PositionDefence -0.2801362 0.1368832 -2.047 0.040720 *
## PositionGoalKeeper 0.3612059 0.1635087 2.209 0.027182 *
## PositionMidField 0.1003695 0.1292723 0.776 0.437513
## Age -0.0527248 0.0137868 -3.824 0.000132 ***
## I(Age^2) -0.0005276 0.0002316 -2.278 0.022762 *
## log(ReleaseClauseM) -0.4600007 0.0459866 -10.003 < 2e-16 ***
## ClubName01RealMadrid 1.3823143 0.1128068 12.254 < 2e-16 ***
## ClubName02FCBarcelona 1.3498758 0.1119643 12.056 < 2e-16 ***
## ClubName03ManchesterUnited 1.3401202 0.1097094 12.215 < 2e-16 ***
## ClubName04BayernMunich 0.8904437 0.1213252 7.339 2.25e-13 ***
## ClubName05ManchesterCity 1.2303374 0.1108022 11.104 < 2e-16 ***
## ClubName06Chelsea 1.1889839 0.1112412 10.688 < 2e-16 ***
## ClubName07Arsenal 1.3058003 0.1095129 11.924 < 2e-16 ***
## ClubName08LiverPool 1.1818711 0.1096828 10.775 < 2e-16 ***
## ClubName09TottenhamHotspur 1.0896153 0.1097556 9.928 < 2e-16 ***
## ClubName10Juventus 1.1493840 0.1320130 8.707 < 2e-16 ***
## ClubName11ParisSaintGernain 0.9704856 0.1160314 8.364 < 2e-16 ***
## ClubName12AtleticoMadrid 0.4992789 0.1096320 4.554 5.30e-06 ***
## ClubName13BorussiaDortmund 0.6770616 0.1111728 6.090 1.15e-09 ***
## ClubName14Schalke 0.2902902 0.1177778 2.465 0.013722 *
## ClubName15InterMilan 0.7728634 0.1372954 5.629 1.84e-08 ***
## ClubName16Roma 0.7921451 0.1252659 6.324 2.62e-10 ***
## ClubName17WestHamUnited 1.0716848 0.1102698 9.719 < 2e-16 ***
## ClubName18Milan 1.1004553 0.1278667 8.606 < 2e-16 ***
## ClubName19Everton 1.2005130 0.1137394 10.555 < 2e-16 ***
## ClubName20NewCastleUnited 0.7683098 0.1116137 6.884 6.04e-12 ***
## Overall:Reputation2 -0.0594399 0.0051120 -11.628 < 2e-16 ***
## Overall:Reputation3 -0.0956908 0.0108127 -8.850 < 2e-16 ***
## Overall:Reputation4 -0.0835253 0.0285696 -2.924 0.003465 **
## Overall:Reputation5 -0.0197650 0.0816987 -0.242 0.808840
## Overall:PositionDefence 0.0039281 0.0020551 1.911 0.055969 .
## Overall:PositionGoalKeeper -0.0071413 0.0024916 -2.866 0.004161 **
## Overall:PositionMidField -0.0025807 0.0019397 -1.330 0.183393
## Overall:Age 0.0019983 0.0002016 9.912 < 2e-16 ***
## Overall:log(ReleaseClauseM) 0.0144038 0.0005578 25.823 < 2e-16 ***
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 0.6194 on 16602 degrees of freedom
## Multiple R-squared: 0.7466, Adjusted R-squared: 0.746
## F-statistic: 1223 on 40 and 16602 DF, p-value: < 2.2e-16
Linear FGLS Model With Interactions
##
## Call:
## lm(formula = log(WageK) ~ Overall + Reputation * Overall + Position *
## Overall + Age * Overall + I(Age^2) + log(ReleaseClauseM) *
## Overall + ClubName, data = FifaF.df, weights = 1/expValue)
##
## Weighted Residuals:
## Min 1Q Median 3Q Max
## -22.2177 -1.2810 0.0214 1.3310 15.3772
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) 1.3048426 0.1817696 7.179 7.34e-13 ***
## Overall -0.0347967 0.0033487 -10.391 < 2e-16 ***
## Reputation2 5.0519753 0.3013205 16.766 < 2e-16 ***
## Reputation3 8.4739056 0.4556591 18.597 < 2e-16 ***
## Reputation4 7.6066111 0.6947075 10.949 < 2e-16 ***
## Reputation5 3.7668548 5.3390697 0.706 0.480493
## PositionDefence -0.0489372 0.0655351 -0.747 0.455235
## PositionGoalKeeper 0.2525926 0.0754116 3.350 0.000811 ***
## PositionMidField 0.0627033 0.0606446 1.034 0.301176
## Age -0.0442231 0.0083736 -5.281 1.30e-07 ***
## I(Age^2) -0.0009160 0.0001890 -4.847 1.27e-06 ***
## log(ReleaseClauseM) -0.5695032 0.0249919 -22.788 < 2e-16 ***
## ClubName01RealMadrid 1.3986289 0.0454392 30.780 < 2e-16 ***
## ClubName02FCBarcelona 1.4080802 0.0370620 37.993 < 2e-16 ***
## ClubName03ManchesterUnited 1.3949332 0.0301026 46.339 < 2e-16 ***
## ClubName04BayernMunich 0.9225028 0.0403786 22.846 < 2e-16 ***
## ClubName05ManchesterCity 1.2802798 0.0459012 27.892 < 2e-16 ***
## ClubName06Chelsea 1.2075110 0.0365542 33.033 < 2e-16 ***
## ClubName07Arsenal 1.3186801 0.0450088 29.298 < 2e-16 ***
## ClubName08LiverPool 1.2355570 0.0447252 27.626 < 2e-16 ***
## ClubName09TottenhamHotspur 1.1294632 0.0429837 26.277 < 2e-16 ***
## ClubName10Juventus 1.2619236 0.0356716 35.376 < 2e-16 ***
## ClubName11ParisSaintGernain 1.0124881 0.0412074 24.571 < 2e-16 ***
## ClubName12AtleticoMadrid 0.5074795 0.0491034 10.335 < 2e-16 ***
## ClubName13BorussiaDortmund 0.7530335 0.0361910 20.807 < 2e-16 ***
## ClubName14Schalke 0.2999346 0.0498514 6.017 1.82e-09 ***
## ClubName15InterMilan 0.7614566 0.0340099 22.389 < 2e-16 ***
## ClubName16Roma 0.8480737 0.0558770 15.178 < 2e-16 ***
## ClubName17WestHamUnited 1.1154165 0.0409990 27.206 < 2e-16 ***
## ClubName18Milan 1.2161890 0.0634998 19.153 < 2e-16 ***
## ClubName19Everton 1.2246698 0.0574843 21.304 < 2e-16 ***
## ClubName20NewCastleUnited 0.7987862 0.0427117 18.702 < 2e-16 ***
## Overall:Reputation2 -0.0659380 0.0039375 -16.746 < 2e-16 ***
## Overall:Reputation3 -0.1095003 0.0055511 -19.726 < 2e-16 ***
## Overall:Reputation4 -0.1001260 0.0080312 -12.467 < 2e-16 ***
## Overall:Reputation5 -0.0609518 0.0577714 -1.055 0.291417
## Overall:PositionDefence 0.0004120 0.0009997 0.412 0.680278
## Overall:PositionGoalKeeper -0.0055672 0.0012304 -4.525 6.09e-06 ***
## Overall:PositionMidField -0.0017342 0.0009248 -1.875 0.060774 .
## Overall:Age 0.0022147 0.0001316 16.825 < 2e-16 ***
## Overall:log(ReleaseClauseM) 0.0154520 0.0003014 51.263 < 2e-16 ***
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 2.094 on 16602 degrees of freedom
## Multiple R-squared: 0.9304, Adjusted R-squared: 0.9302
## F-statistic: 5545 on 40 and 16602 DF, p-value: < 2.2e-16
INTERACTION PLOTS
Interaction Plots between Overall Rating & Reputation
Interaction Plots between Overall Rating & Position
Interaction Plots between Overall Rating & Age (in Years)
Interaction Plots between Overall Rating & Release Clause
