In testing the validity of a multiple regression model in which there are four independent variables, the null hypothesis is:
A) $H _ { 0 } : \beta _ { 1 } = \beta _ { 2 } = \beta _ { 3 } = \beta _ { 4 } = 1$ .
B) $H _ { 0 } : \beta _ { 0 } = \beta _ { 1 } = \beta _ { 2 } = \beta _ { 3 } = \beta _ { 4 }$ .
C) $H _ { 0 } : \beta _ { 1 } = \beta _ { 2 } = \beta _ { 3 } = \beta _ { 4 } = 0$ .
D) $H _ { 0 } : \beta _ { 0 } = \beta _ { 1 } = \beta _ { 2 } = \beta _ { 3 } = \beta _ { 4 } \neq 0$ .

Question

Quizplus · Accepted Answer

The null hypothesis for testing the overall significance of a multiple regression model is that all of the regression coefficients (betas) are equal to zero, which means that none of the independent variables are related to the dependent variable. Therefore, the correct choice is C, which states that all the betas are equal to zero.

In Testing the Validity of a Multiple Regression Model in Which