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) $H _ { 0 } : \beta _ { 0 } = \beta _ { 1 } = \beta _ { 2 } = \beta _ { 3 } = \beta _ { 4 } \neq 0$ .

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Quizplus · Accepted Answer

The null hypothesis in the context of testing the validity of a multiple regression model posits that the coefficients of the independent variables ($\beta_1, \beta_2, \beta_3, \beta_4$) have no effect on the dependent variable, which is mathematically represented as all these coefficients being equal to zero.

In Testing the Validity of a Multiple Regression Model in Which