Polynomial Curve Fitting....

Polynomial Curve fitting is a procedure that is done to know one polynomial function p(x) passes through given points.

If you have a collection of data represented by n point on an xy-plane.

(X1, Y1) (X2, Y2) ... (Xn, Yn)

then the polynomial function will have a degree of n-1 with the resulting p(x):

 p(x) = a₀ + a₁x + a₂x² + . . .  + a_n-1x^n-1

^{To solve the n coeffiecients of p(x), substitute each of the n points into the polynomial function and obtain n linear equations in n  variables.}