Example 2.  Find the polynomial curve fit of degree = 2  for the points [Graphics:Images/LeastSqPolyMod_gr_38.gif].
Use Mathematica to find the "Least Square Quadratic", and find the RMS error.

Solution 2.

[Graphics:../Images/LeastSqPolyMod_gr_39.gif]


[Graphics:../Images/LeastSqPolyMod_gr_40.gif]


[Graphics:../Images/LeastSqPolyMod_gr_41.gif]


[Graphics:../Images/LeastSqPolyMod_gr_42.gif]

[Graphics:../Images/LeastSqPolyMod_gr_43.gif]
[Graphics:../Images/LeastSqPolyMod_gr_44.gif]
[Graphics:../Images/LeastSqPolyMod_gr_45.gif]
[Graphics:../Images/LeastSqPolyMod_gr_46.gif]

Plot the "Least Square Quadratic".

[Graphics:../Images/LeastSqPolyMod_gr_47.gif]


[Graphics:../Images/LeastSqPolyMod_gr_48.gif]

[Graphics:../Images/LeastSqPolyMod_gr_49.gif]
[Graphics:../Images/LeastSqPolyMod_gr_50.gif]
[Graphics:../Images/LeastSqPolyMod_gr_51.gif]

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(c) John H. Mathews 2004