If the system 
has no solution, a closest solution can be found by solving 
. In terms of a set of points that seems to be linearly related, you can find the best fit line by using this method. Given 
, 
, 
, 
, 
.
Find the best fit line for these points.
1) Set up the matrix
and 
for each 
: 
2) Compute 
. 
So the resulting system is 
.
3) Row reduce the matrix:
.
The best fit line is therefore
or 
.
has no solution, a closest solution can be found by solving . In terms of a set of points that seems to be linearly related, you can find the best fit line by using this method. Given , , , , .Find the best fit line for these points.
1) Set up the matrix
and for each : . .3) Row reduce the matrix:
.The best fit line is therefore
or .