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 r2 can decrease when a new variable is added if the variable adds little explanatory power, increases the complexity of the model, and/or introduces multicollinearity.

When an Additional Explanatory Variable Is Introduced into a Multiple