Example 3.  Find the point of intersection of the two lines.

Solution 3.

Be careful, to prevent a fatal error you must use "==" .

[Graphics:../Images/LeastSqLineMod_gr_99.gif]



[Graphics:../Images/LeastSqLineMod_gr_100.gif]
[Graphics:../Images/LeastSqLineMod_gr_101.gif]

[Graphics:../Images/LeastSqLineMod_gr_102.gif]
[Graphics:../Images/LeastSqLineMod_gr_103.gif]

[Graphics:../Images/LeastSqLineMod_gr_104.gif]
[Graphics:../Images/LeastSqLineMod_gr_105.gif]


Compare this with the following point obtained by averaging each coordinate of the data.

[Graphics:../Images/LeastSqLineMod_gr_106.gif]

[Graphics:../Images/LeastSqLineMod_gr_107.gif]

What do you conjecture about the point of intersection of the two lines [Graphics:../Images/LeastSqLineMod_gr_108.gif].  Can you prove it ?

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(c) John H. Mathews 2004