Use the computer output from Problem 10 in Chapter 8 and from Problem 16 in Chapter 5 to answer the following questions. (Assume that no interaction occurs between house size [X1] and number of rooms [X2].)
a. Does the number of rooms (X2) confound the relationship between house price (Y) and house size (X1)?
b. Should the number of rooms be included in a model that already contains house size, based on considerations of precision?
c. In light of your answers to parts (a) and (b), should the final model include both predictors? Explain.