This article is cited in 1 paper

Relation between the coefficients of simple and multiple regression models

V. G. Panov^a, A. N. Varaksin<sup>b

a</sup> Ural State University, Ekaterinburg
^b Institute of Industrial Ecology Ural Branch of RAS, Ekaterinburg

Abstract: We consider the problem of finding the dependence of the coefficients of a multiple regression model and the coefficients of the simple correlation models that describe the predictor variables. We show that the dependence is described by a matrix equality.

Keywords: linear regression, simple regression, regression coefficients, least squares method.

UDC: 519.233.5+519.654

Received: 07.05.2008
Revised: 05.12.2008

 English version: Siberian Mathematical Journal, 2010, 51:1, 162–167

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