Example 4.  Find the polynomial curve fit of degree = 4  for the points [Graphics:Images/LeastSqPolyMod_gr_60.gif].
Use Mathematica to find the "Least Square Quartic", and find the RMS error.

Solution 4.

[Graphics:../Images/LeastSqPolyMod_gr_61.gif]


[Graphics:../Images/LeastSqPolyMod_gr_62.gif]

Plot the "Least Square Quartic".

[Graphics:../Images/LeastSqPolyMod_gr_63.gif]

[Graphics:../Images/LeastSqPolyMod_gr_64.gif]

[Graphics:../Images/LeastSqPolyMod_gr_65.gif]
[Graphics:../Images/LeastSqPolyMod_gr_66.gif]
[Graphics:../Images/LeastSqPolyMod_gr_67.gif]

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(c) John H. Mathews 2004