George Udny Yule and the Interpretation of Regression Betas

Fuente: arXiv
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Autor principal: Corielli, Francesco
Formato: Preprint
Publicado: 2025
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author Corielli, Francesco
author_facet Corielli, Francesco
contents Initially applied in astronomy and geodesy, the linear regression model aimed to find the best estimates for parameters with predefined meanings. E.g., orbital elements, geodetic constants. As its use expanded to other disciplines, often to summarize data without an underlying theoretical model, the need for a general interpretation of regression betas arose. Early attempts by Galton and Karl Pearson met with mixed success. G. U. Yule was the first to develop a general statistical interpretation, the culmination of efforts begun in 1896. Yule interpretation is based on the partial regression theorem, which he proved in 1907.
format Preprint
id arxiv_https___arxiv_org_abs_2509_19123
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle George Udny Yule and the Interpretation of Regression Betas
Corielli, Francesco
Other Statistics
Initially applied in astronomy and geodesy, the linear regression model aimed to find the best estimates for parameters with predefined meanings. E.g., orbital elements, geodetic constants. As its use expanded to other disciplines, often to summarize data without an underlying theoretical model, the need for a general interpretation of regression betas arose. Early attempts by Galton and Karl Pearson met with mixed success. G. U. Yule was the first to develop a general statistical interpretation, the culmination of efforts begun in 1896. Yule interpretation is based on the partial regression theorem, which he proved in 1907.
title George Udny Yule and the Interpretation of Regression Betas
topic Other Statistics
url https://arxiv.org/abs/2509.19123