13.88 R cant go down The least squares prediction equation provides predicted values yn with the strongest

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13.88 R can’t go down The least squares prediction equation provides predicted values yn with the strongest possible correlation with y out of all possible prediction equations of that form. Based on this property, explain why the multiple correlation R cannot decrease when you add a variable to a multiple regression model. (Hint: The prediction equation for the simpler model is a special case of a prediction equation for the full model that has coefficient 0 for the added variable.)

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Statistics The Art And Science Of Learning From Data

ISBN: 9781292164878

4th Global Edition

Authors: Alan Agresti, Christine A. Franklin, Bernhard Klingenberg

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