True or false and why 9. The adjusted R2 must decrease when an additional explan

Question

True or false and why

9. The adjusted R2 must decrease when an additional explanatory variable is introduced into a model.

10. Suppose our regression model provides a perfect fit. The R2 = 1, but the adjusted R2 will be less than 1.

11. The interpretation of SS(total), SS Regression, and SS Error is identical for both simple and multiple regression. The only difference is that in multiple regression, SS(total) is calculated based upon more than one X variable.

12. The 95 percent confidence interval for the expected value of Y, conditional on the X’s, is just another name for the 95 percent prediction interval of Y, conditional on the X’s.

Explanation / Answer

9)false

Adjusted TO decreases only when useless explanatory variable added.

10)true.

Adjusted R2 always less than or equal to the R2.

11) True.

12)True

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