ANS: This can't be true, because (see book, p. 474). Since S2 is the same regardless of model, a model with larger R2a must have smaller MSE.
Figures 1-3 contain SAS/INSIGHT output for three fits to these data. CTEMP and CMILES are the centered predictors temperature and miles driven.
|fitted plot||center values|
ANS: Based on the above measures, model 2 is best, closely followed by model 3. Model 1 is very bad.
The intercept, 3.0105, is the estimated mean wear when
temperature and miles are at their means.
The estimated change in mean wear per unit increase in temperature is
The estimated change in mean wear per unit increase in miles is
The estimated change in mean wear per unit increase in temperature is .
The estimated change in mean wear per unit increase in miles is .
ANS: , and , so the prediction is
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