On a method of perfect regression using sinusoidal expansion

Details On a method of perfect regression using sinusoidal expansion On a method of perfect regression using sinusoidal expansion

2011-10-04

arxiv.org/abs/1110.0811v1

Mathematics

Numerical Analysis

To appear at North American Society for Marketing Education in India Conference, December 29-30, 2011, Great Lakes Institute o

Scientific paper

We present a new method of weighted least square regression that gives a curve of fit with any desired degree of accuracy for a given set of data points. By applying this iterative process infinitely, we show that every finite set of coplanar points can be expanded as a sinusoidal series in infinitely many ways. Thus, given any set of finite data points, we can obtain infinitely many perfect regression curves which give a perfect match between the given data points and the values given by the regression.

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