# Regression Subset With Transformations

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## Regression Subset With Transformations

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Use the data to build a model to predict the outcome Y. Your model will be used to obtain predicted values for a separate (validation) sample. Upload R code in a .txt file that will create any variable transformations you are using and your model in the form of YHAT= some function of the explanatory variables and/or their transformations. Example: YHAT=500+2*X1+.5*sqrt(X7)+1.45*transX9 + .73*X11 -.52*X11^2, where your code previously defined transX9. For example, transX9= X9^(1.25). Grade is ranked against other students for the most efficient model, looking for SSE around 432,723.

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Y X1 X2 X3 X4 X5 X6 X7 X8 X9 X10 X11 X12 X13 X14 X15 X16 X17 X18 X19 X20 X21 X22 287.8 9.1 9.9 14 11.4 13.8 13.4 9.9 12.6 15.3 24.6 21.6 20.5 26.4 24.6 12.2 9.3 10.2 12 17 14.8 17 16 363.4 10.7 14.2 13.7 14.5 14.4 16 12.7 14 18.1 18.1 23.9 19.4 26.1 24.8 13.1 10.2 15 17.2 13.9 18.4 11.6 14.2 254.3 11.2 11.4 10.9 12.4 15.6 17.3 12.2 12.1 14.8 19.8 20.6 19.3 25.7 24.5 11.1 9.9 13.3 12.7 15.3 13.6 17.2 12.5 246.8 11.2 12.2 10.7 15.2 16.5 18.6 11.9 11.8 16.3 17.4 17.5 26.4 22.7 23.8 10.1 12.4 14.3 10 11.8 17 15 17 375.6 10.5 12.3 13.5 15.3 15.8 17.2 11.5 13.2 20.4 18.8 24 21.1 25.1 27.1 11.5 12.6 14.6 12.5 16.5 14.2 14.7 19.1 232.1 11 9.9 13.5 14.1 14.8 15 10.7 12.6 16.5 19.8 17.9 21.2 23.6 24.8 12.7 10.2 12.7 16.6 16.7 12.5 18.9 11.7 335.8 9.6 10.6 13.3 14.7 16.5 14.8 10.8 12.7 17.8 19.7 22.8 23.5 25.2 22.9 12.6 10.9 12.9 14.4 13.2 15.3 14.8 15.5 303.5 9.7 11.7 13.1 13.6 16.8 16.3 10.8 13.2 17.2 22.8 19.5 19.8 23.2 31.7 12.3 10.8 9.5 15.7 10.6 16.6 18.7 18.1 284.5 12.4 14.5 13.6 12.5 15.9 14.8 14.4 14.7 16.5 20.2 21.8 20.7 25.9 25.9 13.2 12.7 12.5 13.4 11.5 11 12.4 13.6 211.4 10.9 13.6 12.1 13.2 16.1 14.9 13.1 12.9 17.3 19 20.5 18 23.6 27.9 11.5 11.8 13.9 12.1 11.8 14.3 13.1 9 244.3 11.2 11.3 12.8 14.3 13.1 15.3 11.5 12.8 16.6 21 20.2 23.5 23.4 22.5 11.8 10.7 11.4 12.6 16.4 17.6 15 12.4 244.6 6.9 14 13.6 14.3 14.2 16.2 11.4 14.1 16.8 19 19.8 27 23.4 26.1 12.9 11.5 11.2 6.5 10.6 14.3 16.8 15.1 387.9 11.4 11.9 13.2 12.6 15.8 17.5 12.6 12.8 16.8 19 25.3 18.8 21.1 25.5 12.7 12 10.7 16.3 12 16.1 14.1 18.3 271.6 9.9 10.4 12.6 14.8 15.2 15.4 10.6 12.5 15.9 21.2 19 22.8 22.7 25.3 11.1 13.9 12 15.1 13.4 16.8 17.5 16.3 343 9.2 10.8 12.2 14.9 14.4 18.6 10.1 12.4 15.4 20.8 22.8 22.2 24.2 27.1 10.2 9.2 15.1 14.9 11 13.1 16.6 16.5 264.3 10.9 10.5 13.4 10.6 12 15.2 11.2 12.5 16.9 18.2 19.1 22.9 22 31.4 12.4 10.7 14.2 13.2 11.3 16.7 18.3 15.9 332.2 9.8 12.8 12.8 16.4 13.3 18.3 11.7 13.3 14.4 17.7 21.1 23.6 26.4 24.3 12.2 10.4 15.7 12.9 14.4 16.7 16 18.4 234.7 8.7 10.6 12.3 13.8 17.3 16.7 10 12 18.6 18.4 18.7 24.9 23.2 26.1 10.7 11.3 14.2 15.7 12 17.3 8.8 17.5 296.5 10.1 11.2 13.3 14.6 15.6 15.6 11.3 12.9 17.5 17.9 21.5 22.2 22.7 28.8 11.8 11.4 12.1 13.5 11.6 17.5 11.9 13.1 341.1 11 13.8 15.6 12.6 12.3 18.1 13.2 15 16.5 21.1 22.3 20.8 24.5 24.1 14.9 8.9 13.1 16.1 14.6 12.7 15.3 15.4 261.7 10.5 9.9 15.4 15.3 14.3 12.9 10.5 12.9 17.1 17.9 19.7 22.6 25.3 25.9 13.8 12.5 8.9 13.5 12.8 12.8 15.9 16.3 389.8 9.1 11 11.5 14.5 13.5 16.3 10.2 12.2 13.2 19.4 24.4 23.1 24.7 26.7 10.4 6.5 9.6 11.5 15.4 13.4 17.6 17.5 304.9 11.4 10.4 13.7 13.5 14.7 15 11.8 12.5 17.3 21.9 21.9 20.6 26.1 24.8 10.8 10.9 12.1 8 16.6 15.6 16.4 15 321.6 9.6 14.2 12.9 13.4 10.8 15.8 12 13.9 15.1 18.4 23.3 22.2 25.5 25.2 11.4 11.5 13.5 12.9 12.4 17.2 11.8 14 324.1 11.3 12.4 14.2 14.2 14.3 16.9 12.3 13.3 16.7 17.3 21.7 20.2 18.6 25.9 12.4 10.3 11.9 12.1 16.7 19.3 13.5 15.4 242.2 7.9 12.4 13.5 16.3 14.1 16.2 11.1 13.9 16.8 22.9 19.1 23.6 27.5 24.4 12.5 10.8 13.5 13.3 12.9 19.7 14 16.1 266.9 9.6 12.5 13.5 17.1 14.9 14 11.3 13.9 17.2 16 21.6 19.3 20.9 27.6 12 10.5 10.5 13 15.2 14.1 19.2 10.1 402.5 10.4 14.1 15.9 15.3 15.2 16.7 12.4 15.6 18.6 21.1 23.5 21.4 29.5 32.6 14.1 17.3 11.3 13.7 11.9 14.8 15.3 17.2 271.7 12.1 13.2 11.8 14 17.3 16.1 13 12.7 17 19.3 22.4 19.4 24.1 24.3 10.9 10.1 9 12.8 10.5 16 14.7 13.2 223.3 9.2 13.1 11.5 15.4 15.5 17.7 12.1 13 17 21.2 19.9 23.4 24.6 27.6 9.8 11.4 12.8 14.8 14.2 15.5 13.9 13.9 382.7 9.1 10.4 15.7 12.3 16.1 17.8 10.4 13.4 19.4 19.5 24.2 24.1 25.6 23.2 14.2 8.7 12.9 9.7 12.6 12.1 17.3 16.8 220.3 9.3 12.8 11 15.6 17 12.6 11.5 12.6 17.2 19.5 17.5 21 24.9 22.3 9.2 11.8 11.1 12.8 12.5 14.1 10.7 18.1 258.4 9.7 13.2 13.1 14.7 16.6 15.6 11.8 13.2 19.1 17.8 22.6 21.1 29.9 28 10.8 11.1 9.3 11.2 13.9 17.1 16.2 11.1 256 11.4 11.7 13 15.5 13.7 18.2 11.9 12.4 16.4 19.1 18.2 21.4 25.8 23.5 12.1 9.2 15.8 11.8 14.1 9 18.5 14.7 296.9 9.3 12.5 10.2 14.9 17.3 16.6 11.8 12 15.7 17.1 21.2 24.6 19.9 20.7 9 11.7 11.2 9.6 15.8 13.9 19.2 15.7 238.9 9.8 11.1 13 14.1 14.7 14.7 11.4 12.5 15.9 19.9 19.3 21.7 25.5 27 11.3 14.4 8.6 7.8 13 11 17.5 11.3 277.5 9.6 13 15.1 14.6 12.7 14 11.7 14.3 16.2 18.6 19.4 23.6 21.4 30.5 14.7 10.3 16.6 14.1 11.8 8.9 17 15.6 406.5 10.6 13.2 13 12 10.7 15 12.1 13.6 13.5 19 24.9 22.9 24.1 28.3 12 12.5 10.4 15.6 11.5 16.3 12.4 15.8 370.9 10.8 10 11.3 14.5 16.2 14.8 10.5 11.1 15.5 20 23.1 23.7 28.3 25.2 9.7 11.5 14.2 14.3 17.6 15 13.1 15.7 229.8 10 11.8 13.6 15.1 15 15.1 11.2 13.6 16.2 19.1 21.4 23.1 22.4 25.3 12.7 11.7 11.6 11.1 12.2 14.1 10.8 12.1 198.4 9.9 12.7 12 12.1 17.4 17.7 11.8 13 18 19.6 16.2 22.9 19.9 27.9 11.4 10.8 13.9 9.7 16.5 12.9 17.6 15.9 244.3 8.5 10.8 14.1 12.3 14.7 13.8 9.7 12.7 16.4 20.3 19.1 22.6 15.5 22.4 11.9 14.5 12.4 14.9 11.8 12.2 15.7 16.1 389.4 9.3 12.7 13.3 14.4 16.5 16.5 11.5 13.1 16.3 19.6 23.5 25.1 28.2 26.5 11.8 9 10.4 13.1 14.5 18.6 12.7 16.2 324.3 10.3 12.5 12.8 13.5 14.7 17.2 11.4 13.1 18 20.4 22.3 21.5 23.4 23.2 12.2 10.3 10.9 17.3 12.4 16.3 18 14.6 294.6 9.5 14.5 12.6 13.5 16.8 15.7 12.7 13.6 16.5 19.5 23.6 23.4 20.8 24.4 12.2 10.2 8 15.4 14.9 17.2 16.6 13.6 286.7 10.9 13.5 12.9 12.4 13.8 16.3 13.1 13.5 15.8 22.6 18.6 22.6 23.3 28.1 11.4 6.4 12.2 15 10.1 16 11.2 15.3 350.3 8.2 11.4 11.3 14.7 16 16.8 10.7 12 16.1 20.5 23.8 23 24.3 24.9 10.7 10.9 12.9 13.5 12.1 14.3 10.1 17 259.9 12 12.1 14.1 13.5 13 17.3 12.5 13.8 15.1 17.3 19.3 18.3 18.3 25.8 12.4 10.8 11.6 12.8 16.3 14.4 13.7 17.9 240.3 9.5 13 10.6 14.9 13.8 17.7 12.2 12 14.5 18.8 19.4 26.4 21.4 22.9 9.8 9.6 14 13 13 16.1 15 12.1 249.9 10.1 12.3 13.7 16.9 15.3 17.9 12 13.8 16.3 20.8 19.9 19.2 25.7 27.3 12.3 10.2 11.7 12.3 17.1 15.9 13.7 15.9 245.2 11.4 11.6 14.5 15.5 14.6 19.4 11.5 13.4 17.1 17.5 19.8 22.7 25.8 20.9 13.6 11.4 11.7 13.5 17.5 15.7 17.4 12.1 329.8 9.8 10.9 12.9 13.5 16.1 17.3 11.3 12.3 16.9 21.3 24.5 22.6 23.6 26.1 11.5 11 10.7 11 11.6 12.8 11.6 11.2 247.8 7.1 11 12.7 12.6 14.1 13.3 9.7 12.2 15.7 19.8 19.1 21.5 22 26.1 11.9 12 14.9 9.4 14.2 14.4 18.8 15.7 220.6 10.7 13.2 14.8 13.4 15.7 13.9 12.3 14.7 17.6 21.6 18.1 26.4 25.4 23.2 13.4 11.9 11.1 15.1 16 12.2 17.2 14.2 219.9 8.7 13.2 13.6 15.7 15.3 17.9 11.1 13.7 20 21.4 19.6 21.5 26.2 30.4 11.2 9.9 10 12.4 12.8 11.3 13.8 11.9 301.6 11.4 13 14.4 15.1 12.9 16.8 12.9 14.3 16.6 22.8 21.9 23.8 23 26.1 11.9 10.6 11.9 15.3 15.6 12.2 17 11.8 308.8 9.6 13.3 11.1 13.7 17.2 14.5 12.4 12.5 17.4 23.2 19.7 22.2 22 29 10 11.4 10.4 13.2 13.8 11.2 10.4 14.1 108 9.1 12.7 14.7 13.9 16.5 16.9 11.4 14 18.5 17.5 17.3 21.9 24.8 18.5 12 10.7 8 11 10.8 15.6 12.7 14 255.1 10.6 11.2 12.9 10.7 18.3 15 11.2 12.3 16.3 20.8 22.5 24.9 25.9 27.7 11.6 12.4 10.8 14.2 14.8 12.6 15.6 12.3 289.6 11 10 11.9 11.8 12.8 15.1 11 11.7 13.7 19 21 19.2 20.9 28.2 11.2 11.9 10.8 10.2 17 13.3 15 16.1 324.2 8.5 11.3 13.6 14.6 14.6 15.6 10 12.9 15.4 18.5 21.1 21.5 28.3 23.4 11.6 10.9 14.2 12.9 14.4 12.6 17 17.8 361.1 10.5 13.4 11.8 12.3 14.9 16.8 12.8 13.1 15.3 15.1 24.1 22.5 24.8 26.5 9.8 9.8 14.2 13.3 15.6 11 15.7 13.7 297.8 10.7 13.9 11.5 15.2 14.9 14.7 13.3 12.9 16 22.8 22.7 22.8 24.1 23.6 11.2 16.3 11.6 18.7 15.7 16.1 14.8 13.3 258 9.9 9.8 15.6 17.7 14 15.5 10.6 13.5 18.5 18.9 18.1 22.3 29.9 23.9 13.7 11.8 12.4 13.1 16.7 19.1 14.9 18.2 331 9.3 12.3 12.4 13.6 17.1 17.2 11.7 13.3 18.1 22.9 22.4 19.6 26 26.1 11.3 9.3 10.7 14.1 13.9 8.7 20.5 19.1 198.1 10.4 12 11.1 12.5 13.3 15.9 11.4 12.4 14.5 20.4 16.8 20.9 24.6 26.1 9.4 11.1 13.1 15.6 10.1 17.9 12 13 306.9 9.8 12.2 14.4 15.4 12 14.9 11.4 14 13.7 17.8 22.3 20.8 22.3 24.4 13.6 13.3 7.4 14.3 17.9 20.1 17.7 14.9 243.8 10.2 10.5 10.2 13.5 15.1 16.4 11.1 10.7 14.8 20.7 22.8 22.6 24.6 29.4 8.4 13.7 13.6 13.6 9.7 12.7 13.8 11.6 358.1 10 14.4 12.6 14.1 17 16.9 12.5 14.2 17.8 18.2 23.6 26.5 25.7 27.7 11.9 11.1 12.2 14.9 11.2 16.4 19.4 15.9 344 9.6 11.2 11.7 16.6 16.9 16 11.2 11.6 19 16.4 21.8 25.4 25.3 26.1 11.3 8.1 11.7 12.5 15.2 13 14 14.6 418.6 10 14.3 15 13.7 13.4 19 13 14.7 19.1 20.2 24.9 21.3 25.4 24 13.6 9.3 13.3 12.9 16.2 15.3 11.6 14.8 280 9.8 10.4 12.1 12 16 17.3 10.4 11.3 18 19.1 20.3 20.4 21 27.3 10.6 13.2 11.8 9.6 14.8 14.4 15.7 15 291.2 10.3 13.7 11.1 15 15.2 15.6 13 12.9 14.7 21.1 22.3 20.1 27.8 21.6 9.6 6.3 9.1 12.6 13.3 18.6 17.4 13.2 278.7 10.5 13.4 10.7 16.1 14.7 16.2 12.9 12.1 16.6 20.4 23.4 20.3 20.5 29.9 11.4 11.2 14.4 10.5 9.8 16.5 12.7 12.9 343.7 10.6 13.9 13.9 14.8 15.9 15.9 12.3 14.9 19.5 20.3 23.8 21.8 22.3 27.3 12.5 8.5 10.6 13.1 14.1 13.9 10.5 17.4 225.3 9.3 12.2 13.7 10.7 15.2 15.3 11.3 13.7 18.1 21.8 18.2 24.9 24.3 25.6 12 14.2 12.2 9.4 16 13.4 16.4 14.2 198.5 8.6 11.8 16.5 12.7 15 15.5 10.9 14.8 19 16.5 20.3 23.6 24.4 27.7 13.9 11.5 12.1 15.6 14.9 15.7 17 12 287 10.4 11.7 13.6 14 14 17.6 11.6 13.3 19.8 20.2 20.4 23.9 24.3 25.8 12.4 5.9 13.7 14.9 16.4 10 13.4 17.5 343.1 10.6 12.6 14.2 13.9 16.2 17.4 12 13.7 18.8 16.9 23.3 22.6 23.3 20.3 13.1 12.2 14.7 10.1 11 12.1 17.7 16.2 306.1 9.3 12.8 12.1 11.6 13.9 16.4 11.4 12.8 14.2 21.6 19.9 19.5 22.8 28.6 11.1 13.6 7.3 12.7 15.4 15 12.7 16.1 374.1 12.3 12.3 14.5 16.1 14 13.8 12.5 13.9 17.5 22.6 24 22.4 26.6 23.3 13.6 12.6 10.8 15.1 13.8 12.1 11.1 16.6 237 11.6 11.6 12.4 16.2 12.3 15 12.4 12.8 14 21.2 18 20.6 28.7 21.6 10.3 9.8 11.6 11.3 15.9 13.2 13.4 15.8 287.3 9.6 11.7 10.8 14.7 14.1 13.8 11 11.3 16.2 23.3 20.2 19 20.3 21.6 8.8 10 14 15.4 9 13.3 14.6 17 136.3 9 10.5 13.2 14.6 14.5 14.5 10.5 12.6 16.1 19 14.2 21.8 21.6 23 12 13.4 10.3 13.4 12.6 13.5 19.9 13.9 239.1 8.5 10.5 12.6 14.5 14 16.4 10.4 12 14.7 20.7 20.5 23.7 23.1 22.6 12.1 12.7 13.2 14.2 16.5 12.7 14 16.7 234.2 10.2 12.9 12.1 14.6 14.8 17.9 12.5 13.1 14.3 20.2 19.6 23.1 25.3 22 9.3 10.5 12.8 14.8 15.8 14 14.5 10.9 242 8.8 11.2 11.3 12.5 14.3 15.6 10.2 11.9 14.7 22.3 16.2 25.4 25.5 26.9 9.7 10.5 12.8 12.3 14.7 12.3 17.6 16.4 288 8.9 11.6 14 13.5 13 17.6 10.3 12.8 14.6 19.5 19.7 21.8 27.6 22.9 13.6 6.2 15 14.7 14.5 13.1 13.5 18.2 365.7 10.8 11.4 15.1 13.6 16.9 20 11.8 13.6 17.7 23.1 24.8 23.1 27.4 29.7 13.7 14.1 11.8 8.3 10.1 17.9 15.1 14.8 285.8 10.1 10.4 14.6 14.3 13.5 19.1 10.4 12.6 16.5 21 21.2 19.2 21.6 27.9 13.8 11.9 11.5 11.6 10.4 14.1 16.1 15.5 333.4 9.2 9.8 13.9 12.8 15.6 17.7 10 12.8 17.4 17.6 21.9 19.6 24.4 28 12.2 11.4 13.5 13.9 9.1 16 12 15.2 195.5 11 11.1 14.8 13.2 15.4 18.3 11.4 13.7 18.5 19.5 19.3 24.3 24.9 24.3 13.8 13.3 13.5 17.2 15.7 15 17.8 13.4 299.4 10.1 10.9 15.1 13.9 15.4 16.5 11.3 13.1 17 20.5 21.6 23.2 23.2 29.5 14.1 8.9 11.6 15.6 13.7 16.8 16.6 17.4 232.1 10.6 12.2 13.7 12.8 16.5 18.3 11.8 13.3 18 19.3 23.4 21.5 24.3 23.6 12.3 10.4 14 14.6 10.4 4.6 13.9 12.1 164.4 9.4 9 15.5 16.7 14.5 17.7 9.5 12.9 17 21.7 17.4 24.2 25.2 25.8 13.8 10.8 12.1 13.7 15.4 11.8 16.2 14 363.5 8.2 12.6 12.8 17.7 16 16.9 11 12.8 16 18.7 22.3 21.4 22 28.4 11.2 8.8 15 11.3 12.3 15.6 12.9 15.8 234.4 10.1 10.3 11.1 13.2 18.1 18.1 10.9 10.7 18.3 19 21.5 21.3 22.4 24.3 9.6 6.5 12.5 8.1 14.2 11.8 13.5 13.8 391.5 9.3 13.2 11.3 14.5 15.9 16.9 11.8 12.5 17.6 20.9 24.6 18.3 25.2 26.3 10.7 11.3 9.7 14.3 13.2 14.1 15.8 14.9 233.3 9.5 12.3 11.3 13.2 16.1 16.5 11 12.4 17.4 19.9 18.8 26.7 21.6 24.9 10.1 9.4 13.3 15.1 10.7 11.4 9.6 15 251.8 9.3 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0