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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
Full-text PDF (288 kB) Citations (1)
References:
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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\by V.~G.~Panov, A.~N.~Varaksin
\paper Relation between the coefficients of simple and multiple regression models
\jour Sibirsk. Mat. Zh.
\yr 2010
\vol 51
\issue 1
\pages 196--203
\mathnet{http://mi.mathnet.ru/smj2076}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2654531}
\transl
\jour Siberian Math. J.
\yr 2010
\vol 51
\issue 1
\pages 162--167
\crossref{https://doi.org/10.1007/s11202-010-0016-5}
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\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-77952845567}
Linking options:
  • https://www.mathnet.ru/eng/smj2076
  • https://www.mathnet.ru/eng/smj/v51/i1/p196
  • This publication is cited in the following 1 articles:
    1. Rylova A.P., Panov V.G., “Assessing the Best Linear Model of the Interest Rate Policy and Inflation in Russia in 2014-2017”, AIP Conference Proceedings, 2116, eds. Simos T., Tsitouras C., Amer Inst Physics, 2019, 200006  crossref  isi  scopus
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Сибирский математический журнал Siberian Mathematical Journal
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    Abstract page:445
    Full-text PDF :117
    References:74
    First page:6
     
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