The Least-Squares mth Degree Polynomials | ||

When using an
to approximate the given set of data, , , ..., , where , the best fitting curve has the least square error, i.e., Please note that , , , ..., and are unknown coefficients while all and are given. To obtain the least square error, the unknown coefficients , , , ..., and must yield zero first derivatives. Expanding the above equations, we have The unknown coefficients , , , ..., and can hence be obtained by solving the above linear equations. |