When an additional explanatory variable is introduced into a multiple regression
model, the adjusted $r ^ { 2 }$ can never decrease.

Name: When an additional explanatory variable is introduced into a multiple regression model, the adjusted $r ^ { 2 }$ can never decrease.
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Question

Quizplus · Accepted Answer

The adjusted $r^2$ can decrease if the new variable does not improve the model more than what would be expected by chance, as it accounts for the number of predictors in the model.

When an Additional Explanatory Variable Is Introduced into a Multiple r2r ^ { 2 }r2

When an Additional Explanatory Variable Is Introduced into a Multiple $r ^ { 2 }$