Example 1.  Find the standard "least squares parabola"    for the data points .  
Use the subroutine LSParabola to find the line.  Compare with the line obtained with Mathematica's Fit procedure.

Solution 1.

Let's peek at the linear system that was solved.

Of course we want a graph.

The RMS error   for this example is:

(c) John H. Mathews 2004