# Question: Suppose you fit the regression model E y 0

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.

**View Solution:**## Answer to relevant Questions

An article published in the American Educational Research Journal (Fall 1998) used multiple regression to model the studentsâ€™ perceptions of their ability in science classes. The sample consisted of 165 Grade 5â€“Grade 8 ...Fluorocarbon plasmas are used in the production of semiconductor materials. In the Journal of Applied Physics (Dec. 1, 2000), electrical engineers at Nagoya University (Japan) studied the kinetics of fluorocarbon plasmas in ...Use Table VII of Appendix A to find the following probabilities: a. P(x2â‰¤ 1.063623) for df = 4 b. P(x2 > 30.5779) for df = 15 c. P(x2 â‰¥ 82.3581) for df = 100 d. P(x2 < 18.4926) for df = 30 Find the rejection region for a test of independence of two classifications for which the contingency table contains r rows and c columns and a. r = 5, c = 5, a = .05 b. r = 3, c = 6, a = .10 c. r = 2, c = 3, a = .01 The effect of guilt emotion on how a decision maker focuses on the problem was investigated in the Jan. 2007 issue of the Journal of Behavioral Decision Making. A total of 171 volunteer students participated in the ...Post your question