Question #112
Reading: Reading 1 Multiple Regression
PDF File: Reading 1 Multiple Regression.pdf
Page: 56
Status: Unattempted
Correct Answer: B
Part of Context Group: Q112-113
First in Group
Shared Context
Question
The conclusion from the hypothesis test of H0: b1 = b2 = 0, is that the null hypothesis should:
Answer Choices:
A. not be rejected as the calculated F of 40.73 is greater than the critical value of 3.29
B. be rejected as the calculated F of 40.73 is greater than the critical value of 3.33
C. be rejected as the calculated F of 40.73 is greater than the critical value of 3.29
Explanation
We can reject the null hypothesis that coefficients of both independent variables equal 0.
The F value for comparison is F2,29 = 3.33. The degrees of freedom in the numerator is 2;
equal to the number of independent variables. Degrees of freedom for the denominator is
32 − (2+1) = 29. The critical value of the F-test needed to reject the null hypothesis is thus
3.33. The actual value of the F-test statistic is 40.73, so the null hypothesis should be
rejected, as the calculated F of 40.73 is greater than the critical value of 3.33.