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If an additional variable causes a reduction in the adjusted multiple coefficient of determination, we have...

If an additional variable causes a reduction in the adjusted multiple coefficient of determination, we have evidence that the new variable might not be worth keeping in the model.

True or false

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Answer #1

While the coefficient of determination always increases with addition of new variables in the regression model, the adjusted coefficient of determination may increase or decrease. An increase in adjusted coefficient of determination on addition of an additional independent variable indicates a better fit to the model than the previous one, while a reduction in adjusted coefficient of determination results in a worse fit. Therefore the given statement is True here.

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