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Proceedings of the International Academy of Ecology and Environmental Sciences, 2017, 7(3): 67-77
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Article

Linear regression as great joke of great scientists

L.V. Nedorezov
Research Center for Interdisciplinary Environmental Cooperation RAS, nab. Kutuzova 14, Saint-Petersburg, 191187, Russia

Received 27 May 2017;Accepted 21 May 2017;Published 1 September 2017
IAEES

Abstract
Analysis of problems of simplest variant of linear regression between two variables is presented. It was demonstrated that in classic situation problem of estimation of regression line parameters hasn't a correct solution. It was also obtained that "paradox of two regressions" (Szekely, 1986) cannot be solved as a presentation of two intervals of (possible) changing of parameters of real regression line. Numerical examples allowed demonstrating that real parameters of regression line can be out of intervals defined by parameters of two regressions.

Keywords linear regression model;paradox of two regressions;ecological models.



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