Question: Suppose you fit the regression model E1y2 = b0 + b1 x1 + b2 x2 + b3 x2 2 + b4 x1 x2 + b5

Suppose you fit the regression model E1y2 = b0 + b1 x1 + b2 x2 + b3 x2 2 + b4 x1 x2 + b5 x1 x2 2 to n = 30 data points and wish to test the null hypothesis H0: b4 = b5 = 0.

a. State the alternative hypothesis.

b. Explain in detail how to compute the F-statistic needed to test the null hypothesis.

c. What are the numerator and denominator degrees of freedom associated with the F-statistic in part b?

d. Give the rejection region for the test if a = .05.

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