A multiple regression analysis produced the following output from Minitab. Regression Analysis: Y versus x₁ and x₂ S = 0.179449 R-Sq = 89.0% R-Sq(adj)= 87.8% Analysis of Variance These results indicate that ____________. A) none of the predictor variables are significant at the 5% level B) each predictor variable is significant at the 5% level C) x₁ is the only predictor variable significant at the 5% level D) x₂ is the only predictor variable significant at the 5% level E) at least one of the variable is significant at 5% level

Question

Quizplus · Accepted Answer

The output indicates that the overall model is significant at the 5% level (since the p-value for F-test is less than 0.05) and the adjusted R-squared is 87.8%, which implies that the model explains a significant proportion of the variability in the response variable. Therefore, we can reject option A.

Since both predictor variables are included in the model, we cannot say that only one of them is significant at the 5% level, so options C and D are not correct.

Therefore, the correct answer is E, which states that at least one of the predictors is significant at the 5% level. It is also possible that both predictors are significant, but we cannot conclude that from the given output.

A Multiple Regression Analysis Produced the Following Output from Minitab