Example 7.  Find the least squares polynomial fits of degree n = 2, 3, 4, 5 for the points .

Solution 7.

Use Mathematica to find the least squares polynomial of degree n = 2.

Use Mathematica to find the least squares polynomial of degree n = 3.

Use Mathematica to find the least squares polynomial of degree n = 4.

Use Mathematica to find the least squares polynomial of degree n = 5.

Remark.  The points were obtained from    which is not polynomial.  

Graph all the curves, just for a comparison.

(c) John H. Mathews 2004