Degree Polynomial Data Point Fitting Routine with RMS Error

R. E. McCullough, University of Colorado, Denver, Colorado

N-th Degree Polynomial Data Point Fitting Routine - This

program accepts the x- and y- coordinates for an unlimited

number of data points and calculates for the equation

Y=A₀ + A₁x + a₂x² + ... + A_NX^N,

the coefficients A_N which best fit the equation to the data

points. The fitting criterion is "least squares." The program

allows the user to select the degree, N, of the fitting

equation. N may be as large as 7.

N-th Degree Polynomial Data Point Fitting Routine with

RMS Error - This program is the same as N-th Degree Poly-

nomial Fitting Routine except that it calculates the RMS error

between the y-coordinates of the data points and the evaluated

fitting equation. It will accept only a limited number of data

points and the maximum equation degree allowed is inversely

related to this number.