When an additional explanatory variable is introduced into a multiple regression model,the adjusted r² 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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Quizplus · Accepted Answer

The adjusted R-squared can decrease when an additional explanatory variable is introduced into a multiple regression model if the new variable does not improve the model's explanatory power enough to offset the penalty for adding an extra variable.

When an Additional Explanatory Variable Is Introduced into a Multiple