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 validity of a multiple regression model states that all the slope coefficients (or regression coefficients) are equal to zero. This means that none of the independent variables have a significant linear relationship with the dependent variable. Therefore, the correct choice is C, which states that all slope coefficients are equal to zero. Choices A and B are incorrect because they specify a specific value for the slope coefficients, which is not necessary for the null hypothesis. Choice D is incorrect because it specifies that the slope coefficients are not equal to zero, which is the alternative hypothesis.

In Testing the Validity of a Multiple Regression Model in Which