Given the following portion of regression results, which of the following conclusions is true with regard to the F test at the 5% significance level?
A) Neither of the explanatory variables is related to the response variable.
B) Both of the explanatory variables are related to the response variable.
C) Exactly one of the explanatory variables is related to the response variable.
D) At least one of the explanatory variables is significantly related to the response variable.

Question

Given the following portion of regression results, which of the following conclusions is true with regard to the F test at the 5% significance level? 
A) Neither of the explanatory variables is related to the response variable. 
B) Both of the explanatory variables are related to the response variable. 
C) Exactly one of the explanatory variables is related to the response variable. 
D) At least one of the explanatory variables is significantly related to the response variable.

Quizplus · Accepted Answer

The F test is used to test whether at least one of the explanatory variables is significantly related to the response variable. The given results do not provide enough information to conclude that neither or both explanatory variables are related to the response variable, and it is not possible to determine if exactly one explanatory variable is related to the response variable. Therefore, we can only conclude that at least one of the explanatory variables is significantly related to the response variable at the 5% significance level.

Given the Following Portion of Regression Results, Which of the Following