Use software to do further analyses with the multiple regression model of y = selling

Description

QUESTION:

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 H_a: 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.

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