A multiple regression analysis is being performed. No explanatory variables are

Question

A multiple regression analysis is being performed. No explanatory variables are highly correlated and there are no outliers. All the conditions of the multiple regression model are met. There is no evidence to reject the null hypothesis from the F-test. What should be done next? Choose the correct answer below. A. Do the F est again on each explanatory variable o determine i each explanatory variable is a significant predictor of the response variable. O B. Stop the analysis as all explanatory variables are significant predictors of the response variable ° C. Stop the analysis as none of the explanatory variables are significant predictors of the response variable. D. Perform a t test (with Bonferroni correction to determine if at least one explanatory variable is a significant predictor of the response variable). O E. Perform a ttest (with Bonferroni correction on each explanatory variable to determine if each variable is a significant predictor of the response variable after accounting for the effects of other explanatory variables in the model)

Explanation / Answer

Solution :

       We are given that : a multiple regression analysis is being performed. It says No explanatory variables are highly correlated and there are no outliers. All the conditions of the multiple regression model are met. There is no evidence to reject null hypothesis from the F test.

If there is no evidence to reject null hypothesis, we accept null hypothesis H0, which states that : Regression model is insignificant. If it is insignificant , then no explanatory variables are significant .So no need to do further analysis .

Thus option C . Stop the analysis as none of the explanatory variables variables are significant of the response variable is correct.

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