Example 8.  Use the linear least squares method to find the polynomial curve fit of degree = 3  for the points .

Solution 8.

Enter the n points.

Enter the degree of the polynomial.

Construct the matrices  , and the vector  

Solve the linear system  .

Construct the polynomial.

We are done.

Aside.  We can compare this with the result obtained by using Mathematica's procedure "Fit" to find the polynomial.

(c) John H. Mathews 2004