# Question

Suppose you fit the regression model

E(y) = Î²0 + Î²1x1 + Î²2x2 + Î²3x22 + Î²4x1x2 + Î²5 x1 x22

to n = 35 data points and wish to test the null hypothesis

H0: Î²4 = Î²5 = 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 Î± = .05.

E(y) = Î²0 + Î²1x1 + Î²2x2 + Î²3x22 + Î²4x1x2 + Î²5 x1 x22

to n = 35 data points and wish to test the null hypothesis

H0: Î²4 = Î²5 = 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 Î± = .05.

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