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
## -4.2440 -0.3523 0.0286 0.4064 2.0433
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) 6.706841 0.436975 15.348 < 2e-16 ***
## Overall -0.001792 0.004103 -0.437 0.66229
## Reputation 0.371764 0.015136 24.562 < 2e-16 ***
## PositionDefence 0.067032 0.015648 4.284 1.85e-05 ***
## PositionGoalKeeper 0.084457 0.020868 4.047 5.21e-05 ***
## PositionMidField -0.044318 0.014513 -3.054 0.00226 **
## Age -0.248595 0.020057 -12.394 < 2e-16 ***
## I(Age^2) 0.005342 0.000347 15.393 < 2e-16 ***
## log(ReleaseClauseM) 0.829789 0.018090 45.871 < 2e-16 ***
## Potential -0.045402 0.003238 -14.022 < 2e-16 ***
## PreferredFootRight -0.016647 0.012307 -1.353 0.17618
## WeakFoot 0.004468 0.008298 0.538 0.59032
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 0.6546 on 16631 degrees of freedom
## Multiple R-squared: 0.7165, Adjusted R-squared: 0.7163
## F-statistic: 3821 on 11 and 16631 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
## -4.1479 -0.3205 0.0058 0.3781 1.7769
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) -2.0506022 0.3930844 -5.217 1.84e-07 ***
## Overall 0.0149748 0.0060452 2.477 0.01325 *
## Reputation 3.2493878 0.1924419 16.885 < 2e-16 ***
## PositionDefence -0.2456961 0.1365431 -1.799 0.07197 .
## PositionGoalKeeper 0.4157328 0.1630854 2.549 0.01081 *
## PositionMidField 0.1368923 0.1288628 1.062 0.28811
## Age -0.0545283 0.0137843 -3.956 7.66e-05 ***
## I(Age^2) -0.0004449 0.0002311 -1.925 0.05421 .
## log(ReleaseClauseM) -0.4157518 0.0442614 -9.393 < 2e-16 ***
## ClubName01RealMadrid 1.4226278 0.1112464 12.788 < 2e-16 ***
## ClubName02FCBarcelona 1.4013660 0.1114758 12.571 < 2e-16 ***
## ClubName03ManchesterUnited 1.3260976 0.1096395 12.095 < 2e-16 ***
## ClubName04BayernMunich 0.9084557 0.1205059 7.539 4.99e-14 ***
## ClubName05ManchesterCity 1.2177416 0.1103438 11.036 < 2e-16 ***
## ClubName06Chelsea 1.1663267 0.1111259 10.496 < 2e-16 ***
## ClubName07Arsenal 1.2761248 0.1092554 11.680 < 2e-16 ***
## ClubName08LiverPool 1.1397804 0.1093700 10.421 < 2e-16 ***
## ClubName09TottenhamHotspur 1.0539714 0.1094970 9.626 < 2e-16 ***
## ClubName10Juventus 1.1385160 0.1305838 8.719 < 2e-16 ***
## ClubName11ParisSaintGernain 0.9965978 0.1158573 8.602 < 2e-16 ***
## ClubName12AtleticoMadrid 0.4767140 0.1095087 4.353 1.35e-05 ***
## ClubName13BorussiaDortmund 0.6502416 0.1110730 5.854 4.88e-09 ***
## ClubName14Schalke 0.2765630 0.1176804 2.350 0.01878 *
## ClubName15InterMilan 0.7262132 0.1367188 5.312 1.10e-07 ***
## ClubName16Roma 0.7501971 0.1250271 6.000 2.01e-09 ***
## ClubName17WestHamUnited 1.0502315 0.1102258 9.528 < 2e-16 ***
## ClubName18Milan 1.0669173 0.1277652 8.351 < 2e-16 ***
## ClubName19Everton 1.1860534 0.1137374 10.428 < 2e-16 ***
## ClubName20NewCastleUnited 0.7723772 0.1116966 6.915 4.85e-12 ***
## Overall:Reputation -0.0424204 0.0024697 -17.177 < 2e-16 ***
## Overall:PositionDefence 0.0034025 0.0020496 1.660 0.09692 .
## Overall:PositionGoalKeeper -0.0079876 0.0024850 -3.214 0.00131 **
## Overall:PositionMidField -0.0031392 0.0019330 -1.624 0.10440
## Overall:Age 0.0019746 0.0002013 9.807 < 2e-16 ***
## Overall:log(ReleaseClauseM) 0.0137977 0.0005307 25.997 < 2e-16 ***
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 0.6199 on 16608 degrees of freedom
## Multiple R-squared: 0.7461, Adjusted R-squared: 0.7456
## F-statistic: 1435 on 34 and 16608 DF, p-value: < 2.2e-16
Linear FGLS Model With Interaction
##
## 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
## -20.6599 -1.2812 0.0186 1.3456 14.7928
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) -1.7720147 0.2569293 -6.897 5.51e-12 ***
## Overall 0.0038200 0.0040997 0.932 0.3515
## Reputation 3.3299654 0.1385116 24.041 < 2e-16 ***
## PositionDefence 0.0209140 0.0773483 0.270 0.7869
## PositionGoalKeeper 0.4029608 0.0893785 4.508 6.57e-06 ***
## PositionMidField 0.1166810 0.0726471 1.606 0.1083
## Age -0.0485803 0.0090375 -5.375 7.74e-08 ***
## I(Age^2) -0.0009069 0.0001917 -4.731 2.26e-06 ***
## log(ReleaseClauseM) -0.5324762 0.0250739 -21.236 < 2e-16 ***
## ClubName01RealMadrid 1.4740364 0.0733964 20.083 < 2e-16 ***
## ClubName02FCBarcelona 1.4178394 0.0636550 22.274 < 2e-16 ***
## ClubName03ManchesterUnited 1.3642719 0.0425470 32.065 < 2e-16 ***
## ClubName04BayernMunich 0.8931520 0.0428228 20.857 < 2e-16 ***
## ClubName05ManchesterCity 1.3052069 0.0564578 23.118 < 2e-16 ***
## ClubName06Chelsea 1.1492766 0.0584032 19.678 < 2e-16 ***
## ClubName07Arsenal 1.3281445 0.0538913 24.645 < 2e-16 ***
## ClubName08LiverPool 1.1846893 0.0494799 23.943 < 2e-16 ***
## ClubName09TottenhamHotspur 1.0964744 0.0456038 24.043 < 2e-16 ***
## ClubName10Juventus 1.1832106 0.0614047 19.269 < 2e-16 ***
## ClubName11ParisSaintGernain 1.0465588 0.0558575 18.736 < 2e-16 ***
## ClubName12AtleticoMadrid 0.4818259 0.0653609 7.372 1.76e-13 ***
## ClubName13BorussiaDortmund 0.7511664 0.0472479 15.898 < 2e-16 ***
## ClubName14Schalke 0.2918868 0.0504066 5.791 7.14e-09 ***
## ClubName15InterMilan 0.7260866 0.0408269 17.785 < 2e-16 ***
## ClubName16Roma 0.8104539 0.0524494 15.452 < 2e-16 ***
## ClubName17WestHamUnited 1.1064500 0.0430245 25.717 < 2e-16 ***
## ClubName18Milan 1.2052435 0.0504367 23.896 < 2e-16 ***
## ClubName19Everton 1.2084044 0.0638139 18.936 < 2e-16 ***
## ClubName20NewCastleUnited 0.7968193 0.0462036 17.246 < 2e-16 ***
## Overall:Reputation -0.0433231 0.0017181 -25.216 < 2e-16 ***
## Overall:PositionDefence -0.0007108 0.0012141 -0.585 0.5583
## Overall:PositionGoalKeeper -0.0081084 0.0014882 -5.449 5.15e-08 ***
## Overall:PositionMidField -0.0026312 0.0011450 -2.298 0.0216 *
## Overall:Age 0.0023131 0.0001458 15.865 < 2e-16 ***
## Overall:log(ReleaseClauseM) 0.0151070 0.0003034 49.788 < 2e-16 ***
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 2.077 on 16608 degrees of freedom
## Multiple R-squared: 0.8875, Adjusted R-squared: 0.8872
## F-statistic: 3852 on 34 and 16608 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
