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 measures whether at least one of the explanatory variables is significantly related to the response variable. In this case, the F-statistic is given as 20.43, which is greater than the critical value at the 5% significance level. Therefore, we reject the null hypothesis of no significant relationship and conclude that at least one of the explanatory variables is significantly related to the response variable.

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