Please use this identifier to cite or link to this item: https://hdl.handle.net/10356/7748
Title: Regression analysis : a geometric approach
Authors: Wang, Cong
Keywords: DRNTU::Business::Management::Forecasting
Issue Date: 2003
Abstract: Regression analysis is traditionally presented in algebraic equations and matrices. However, it can also be discussed in a geometric framework. Previous studies have shown that the key concepts in regression analysis, including method of least squares, regression coefficients, simple and partial correlation coefficients, have direct visual analogues in geometry. In this paper, we not only summarize the previous findings mentioned above, but also use geometry to prove the Frisch-Waugh-Lovell Theorem completely and hence give another four geometric expressions of regression coefficients. In addition, we find another geometric interpretation of partial correlation coefficients and prove three formulas that display the relationships among simple, multiple and partial correlation coefficients.
URI: http://hdl.handle.net/10356/7748
Rights: Nanyang Technological University
Fulltext Permission: restricted
Fulltext Availability: With Fulltext
Appears in Collections:NBS Theses

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