Fitting of Polynomials by Minimizing the Sum of Absolute Deviations

Abstract

The condition for the polynomial minimizing the sum of absolute deviations from two-dimensional points (x_i, y_i) (i=1, 2, …, n) is clarified, and a graphical technique is developed for fitting the polynomial of degree p (p=2, 3) which satisfies this condition. This technique is based on the technique of fitting a straight line which has already been developed. (see reference [7])