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Sibirskii Matematicheskii Zhurnal, 2010, Volume 51, Number 1, Pages 196–203 (Mi smj2076)  
This article is cited in 1 scientific paper (total in 1 paper)

Relation between the coefficients of simple and multiple regression models

V. G. Panova, A. N. Varaksinb

a Ural State University, Ekaterinburg
b Institute of Industrial Ecology Ural Branch of RAS, Ekaterinburg
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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.
Received: 07.05.2008
Revised: 05.12.2008
English version:
Siberian Mathematical Journal, 2010, Volume 51, Issue 1, Pages 162–167
DOI: https://doi.org/10.1007/s11202-010-0016-5
Bibliographic databases:
UDC: 519.233.5+519.654
Language: Russian
Citation: V. G. Panov, A. N. Varaksin, “Relation between the coefficients of simple and multiple regression models”, Sibirsk. Mat. Zh., 51:1 (2010), 196–203; Siberian Math. J., 51:1 (2010), 162–167
Citation in format AMSBIB
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\paper Relation between the coefficients of simple and multiple regression models
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\pages 196--203
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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