A multiple regression analysis showed the following ANOVA table result. Based on the information in the ANOVA, what is the decision regarding the global null hypothesis?
A) The p-value 0.659 is quite large, so we fail to reject the null hypothesis and conclude that there is no relationship between the dependent variable and the independent variables.
B) The p-value 0.659 is quite large, so we reject the null hypothesis and conclude that there is a relationship between the dependent variable and the independent variables.
C) The p-value, 0.659 is larger than the F value, so we reject the null hypothesis and conclude that there is no relationship between the dependent variable and the independent variables.

Question

A multiple regression analysis showed the following ANOVA table result.  Based on the information in the ANOVA, what is the decision regarding the global null hypothesis?
A) The p-value 0.659 is quite large, so we fail to reject the null hypothesis and conclude that there is no relationship between the dependent variable and the independent variables. 
B) The p-value 0.659 is quite large, so we reject the null hypothesis and conclude that there is a relationship between the dependent variable and the independent variables. 
C) The p-value, 0.659 is larger than the F value, so we reject the null hypothesis and conclude that there is no relationship between the dependent variable and the independent variables.

Quizplus · Accepted Answer

The p-value of 0.659 is larger than the significance level α=0.05, which means we fail to reject the null hypothesis. The null hypothesis in this case is that there is no significant relationship between the dependent variable and the independent variables. Therefore, we conclude that there is not enough evidence to suggest that there is a relationship between the dependent variable and the independent variables.

A Multiple Regression Analysis Showed the Following ANOVA Table Result