Example 5.  Find the polynomial curve fit of degree = 5  for the points [Graphics:Images/LeastSqPolyMod_gr_68.gif].
Use Mathematica to find the "Least Square Quintic", and find the RMS error.

Solution 5.

[Graphics:../Images/LeastSqPolyMod_gr_69.gif]


[Graphics:../Images/LeastSqPolyMod_gr_70.gif]

Plot the "Least Square Quintic".

[Graphics:../Images/LeastSqPolyMod_gr_71.gif]

[Graphics:../Images/LeastSqPolyMod_gr_72.gif]

[Graphics:../Images/LeastSqPolyMod_gr_73.gif]
[Graphics:../Images/LeastSqPolyMod_gr_74.gif]
[Graphics:../Images/LeastSqPolyMod_gr_75.gif]

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(c) John H. Mathews 2004