For a multiple regression analysis with 2 and 12 degrees of freedom,MS regression is 135 and MS residual is 15.What is the decision for this test?
A) reject the null hypothesis; the predictive variability of two predictor factors are significant
B) retain the null hypothesis; the predictive variability of two predictor factors are not significant
C) reject the null hypothesis; the predictive variability of one predictor factor is significant
D) retain the null hypothesis; the predictive variability of one predictor factor is significant

Question

Quizplus · Accepted Answer

The decision for this test is to reject the null hypothesis, which means that the predictive variability of two predictor factors is significant. This can be determined by comparing the F-statistic calculated as MS Regression/MS Residual to the critical F-value at the chosen level of significance. If the calculated F-statistic is greater than the critical F-value, we reject the null hypothesis. In this case, MS Regression is much larger than MS Residual, indicating that the model explains a significant amount of the variability in the response variable.

For a Multiple Regression Analysis with 2 and 12 Degrees