Linear Transformations of Polynomial Regression Models

Statistical texts differ in the ways they test the significance of coefficients of lower-order terms in polynomial regression models.One reason for this difference is probably the concern of some authors that t ratios for the regression coefficients of lower-order terms may change as a result of linear scale transformations of the independent variables.Empiricists generally report tests of these terms and attempt to interpret their meanings.This paper succinctly demonstrates how linear transformations of polynomial regression models affect tests of statistical significance for individual parameters.