RESEARCH ARTICLE


When Do Plots of Regressions of X on Y and of Y on X Coincide?



Czeslaw Stepniak*, Katarzyna Wasik
Institute of Mathematics, University of Rzeszów, Rejtana 16 A, 35-959 Rzeszów, Poland.


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© 2009 Stepniak et al.;

open-access license: This is an open access article distributed under the terms of the Creative Commons Attribution 4.0 International Public License (CC-BY 4.0), a copy of which is available at: https://creativecommons.org/licenses/by/4.0/legalcode. This license permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.

* Address correspondence to this author at the Institute of Mathematics, University of Rzeszów, Rejtana 16 A, 35-959 Rzeszów, Poland. E-mail: cees@univ.rzeszow.pl


Abstract

It is well known that the plots of the regressions of a random variable X on Y and of Y on X, in general, does not coincide. We study conditions for such coincidence.

Keywords: Linear regression, overall regression, regression of X on Y, regression of Y on X, coincidence..