Example 4.  Find "modified least squares line" of the form   [Graphics:Images/LeastSqLineMod_gr_116.gif]  for the data points [Graphics:Images/LeastSqLineMod_gr_117.gif].  

Solution 4.

First, enter the data points.  Then form the lists of abscissa's, and ordinates.

[Graphics:../Images/LeastSqLineMod_gr_118.gif]


[Graphics:../Images/LeastSqLineMod_gr_119.gif]
[Graphics:../Images/LeastSqLineMod_gr_120.gif]
[Graphics:../Images/LeastSqLineMod_gr_121.gif]
[Graphics:../Images/LeastSqLineMod_gr_122.gif]


[Graphics:../Images/LeastSqLineMod_gr_123.gif]

[Graphics:../Images/LeastSqLineMod_gr_124.gif]

[Graphics:../Images/LeastSqLineMod_gr_125.gif]

[Graphics:../Images/LeastSqLineMod_gr_126.gif]

[Graphics:../Images/LeastSqLineMod_gr_127.gif]

[Graphics:../Images/LeastSqLineMod_gr_128.gif]

The "modified least squares line" is

[Graphics:../Images/LeastSqLineMod_gr_129.gif]



[Graphics:../Images/LeastSqLineMod_gr_130.gif]

[Graphics:../Images/LeastSqLineMod_gr_131.gif]

[Graphics:../Images/LeastSqLineMod_gr_132.gif]
[Graphics:../Images/LeastSqLineMod_gr_133.gif]



[Graphics:../Images/LeastSqLineMod_gr_134.gif]


[Graphics:../Images/LeastSqLineMod_gr_135.gif]

[Graphics:../Images/LeastSqLineMod_gr_136.gif]

[Graphics:../Images/LeastSqLineMod_gr_137.gif]

[Graphics:../Images/LeastSqLineMod_gr_138.gif]

We can compare this with the result obtained from our subroutine PowerCurve[XY,m].

[Graphics:../Images/LeastSqLineMod_gr_139.gif]

[Graphics:../Images/LeastSqLineMod_gr_140.gif]

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(c) John H. Mathews 2004