University of Detroit Mercy

An Algebraic Connection between Ordinary Least-Square Regression and Regression Through the Origin

Ordinary least-square regression (OLS) or regression through the origin (RTO)? That is the question. This paper tries to establish an algebraic relation of the slopes and R squares between these two models and study the connection between them. One of the results can be used as a pedagogical tool to construct data set with breakdown point.

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