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Scientia Africana

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An observation on the variance of a predicted response in regression analysis

A. Okolo

Abstract


In studying individual parameters and the predicted response in regression analysis, three important properties are usually distinguished. These are bias, variance and  mean-square error. The choice of a predicted response has to be made on a balance of these properties and computational simplicity. To avoid over fitting, along with the  obvious advantage of having a simpler equation, it is shown that the addition of a  variable to a regression equation does not reduce the variance of a predicted response.


Key words: Linear regression; Partitioned matrix; Predicted response




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