Suppose you fit the regression model y = b0 + b1x1 + b2x2 + b3x3 + b4x1 2 + b5x3 2 + b6x1x3 + e to n = 28 data points and wish to test H0: b4 = b5 = b6 = 0

a. State the alternative hypothesis Ha.

b. Give the reduced model appropriate for conducting the test.

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

d. Suppose the SSE’s for the reduced and complete models are SSER = 4,731.9 and SSEC = 3,816.0. Conduct the hypothesis test and interpret the results of your test. Test using a = .05.