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.
Article Information
Identifiers and Pagination:
Year: 2009Volume: 1
First Page: 52
Last Page: 54
Publisher Id: TOSPJ-1-52
DOI: 10.2174/1876527000901010052
Article History:
Received Date: 26/12/2008Revision Received Date: 12/2/2009
Acceptance Date: 16/2/2009
Electronic publication date: 18/6/2009
Collection year: 2009
© 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.
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.
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..