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Doing Least Squares: Perspectives from Gauss and Yule
Authors:John Aldrich
Institution:Department of Economics, University of Southampton, Southampton SO17 1BJ, UK e-mail:
Abstract:Gauss introduced a procedure for calculating least squares estimates and their precisions. Yule introduced a new system of notation adapted to correlation analysis. This paper describes these formalisms and compares them with the matrix and vector space formalisms used in modern regression analysis.
Keywords:Least squares  Gauss  Yule  Fisher  Aitken  Elimination  Partial Correlation  Orthogonalisation  Projection
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