When an explanatory variable is dropped from a multiple regression model, the adjusted r² can increase.

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Quizplus · Accepted Answer

The adjusted r2 can increase when an explanatory variable is dropped from a multiple regression model if the variable was not contributing significantly enough to the model or was causing multicollinearity. This increases the weight of the other variables and can lead to a higher adjusted r2.

When an Explanatory Variable Is Dropped from a Multiple Regression