I.—On Fitting Polynomials to Weighted Data by Least Squares

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Abstract
The present paper continues the study, initiated in a previous paper, of methods of fitting polynomials to data by least squares, with the aim of systematising the numerical procedure. The case considered here is that of unequally weighted data. A further paper will deal with the still more general case of weighted and correlated data. The numerical methods put forward for the three cases are quite different, and the only common point in the theory is the use of orthogonal polynomials.

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