Example 1. Find the polynomial curve fit of degree n = 2 for the following points. Use Mathematica to find the "Least Square Quadratic", and find the RMS error. Solution 1.
Plot the "Least Square Quadratic".
(c) John H. Mathews 2003
![[Graphics:../Images/LeastSquaresPolynomialMod_gr_6.gif]](../Images/LeastSquaresPolynomialMod_gr_6.gif)
![[Graphics:../Images/LeastSquaresPolynomialMod_gr_7.gif]](../Images/LeastSquaresPolynomialMod_gr_7.gif){kind=small}
![[Graphics:../Images/LeastSquaresPolynomialMod_gr_8.gif]](../Images/LeastSquaresPolynomialMod_gr_8.gif)
![[Graphics:../Images/LeastSquaresPolynomialMod_gr_9.gif]](../Images/LeastSquaresPolynomialMod_gr_9.gif)
![[Graphics:../Images/LeastSquaresPolynomialMod_gr_10.gif]](../Images/LeastSquaresPolynomialMod_gr_10.gif){kind=small}
![[Graphics:../Images/LeastSquaresPolynomialMod_gr_11.gif]](../Images/LeastSquaresPolynomialMod_gr_11.gif){kind=small}
![[Graphics:../Images/LeastSquaresPolynomialMod_gr_12.gif]](../Images/LeastSquaresPolynomialMod_gr_12.gif){kind=small}