Exercise D.53 shows a multiple regression model to predict percent body fat using the nine other variables in the dataset BodyFat. Try to improve on this model, using a subset of these predictors to balance the desire to use important individual predictors with explaining a significant portion of the variability in body fat. Describe the process you use to obtain your model and discuss the merits of your final choice.

Exercise D.53

Data 10.1 on page 562 introduces the dataset BodyFat. Computer output is shown for using this sample to create a multiple regression model to predict percent body fat using the other nine variables.