Example 3.  Find the polynomial curve fit of degree = 3  for the points [Graphics:Images/LeastSqPolyMod_gr_52.gif].
Use Mathematica to find the "Least Square Cubic", and find the RMS error.

Solution 3.

[Graphics:../Images/LeastSqPolyMod_gr_53.gif]


[Graphics:../Images/LeastSqPolyMod_gr_54.gif]

Plot the "Least Square Cubic".

[Graphics:../Images/LeastSqPolyMod_gr_55.gif]

[Graphics:../Images/LeastSqPolyMod_gr_56.gif]

[Graphics:../Images/LeastSqPolyMod_gr_57.gif]
[Graphics:../Images/LeastSqPolyMod_gr_58.gif]
[Graphics:../Images/LeastSqPolyMod_gr_59.gif]

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(c) John H. Mathews 2004