13.31 House prices Use software to do further analyses with the multiple regression model of y = selling price of home in thousands, x1 = size of home, and x2 = number of bedrooms, considered in Section 13.1. The data file House Selling Prices OR is on the book’s website.

a. Report the F statistic and state the hypotheses to which it refers. Report its P-value and interpret. Why is it not surprising to get a small P-value for this test?

b. Report and interpret the t statistic and P-value for testing H0: b2 = 0 against Ha: b2 7 0.

c. Construct a 95% confidence interval for b2 and interpret.

This inference is more informative than the test in part b.

Explain why.