Perform an F-test for Lack of Fit -When performing a multiple linear regression, if we test the null hypothesis that the coefficients are all zero, what is the decision rule? A) If $\mathrm { p } \alpha$, then reject the null hypothesis. C) If $\mathrm { p } \alpha$, then fail to reject the alternative hypothesis.

Question

Perform an F-test for Lack of Fit -When performing a multiple linear regression, if we test the null hypothesis that the coefficients are all zero, what is the decision rule? A) If $\mathrm { p } < \alpha$, then reject the null hypothesis. B) If $p > \alpha$, then reject the null hypothesis. C) If $\mathrm { p } < \alpha$, then fail to reject the null hypothesis. D) If $p > \alpha$, then fail to reject the alternative hypothesis.

Quizplus · Accepted Answer

When performing hypothesis testing, if the p-value ($p$) is less than the significance level ($\alpha$), the decision rule is to reject the null hypothesis. This indicates that there is enough evidence to suggest that at least one of the coefficients in the model is significantly different from zero.

Perform an F-Test for Lack of Fit -When Performing a Multiple

Perform an F-Test for Lack of Fit
-When Performing a Multiple