Use software to do further analyses with the multiple regression model of y = selling price of a home in thousands, x1 = size of the home, and x2 = number of bedrooms, considered in Section 13.1. The data file House Selling Prices OR is on the text CD.
(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: β2 = 0 against Ha: β2 > 0.
(c) Construct a 95% confidence interval for β2, and interpret. This inference is more informative than the test in part b. Explain why.