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Why is the R2 is not a very good way to judge, if the specification of...

Why is the R2 is not a very good way to judge, if the specification of a multiple regression model has been improved by adding another variable?

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On adding a predictor to a model, the R-squared increases, even if due to chance alone. It never decreases. Consequently, a model with more terms may appear to have a better fit simply because it has more terms.If a model has too many predictors and higher order polynomials, it begins to model the random noise in the data. This condition is known as overfitting the model and it produces misleadingly high R-squared values and a lessened ability to make predictions
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