Let's say I have the following equation system: equation system
The points are graphed as follows: graph of points
Using the least squares method a solution is x =3 and y=1.
According to the solution manual the purpose of the method is to minimise the distance between between the left side and the right hand side of the equation system. This results in: Squared difference
When I substitute the values x=3 and y=1 into the equation system the graph I get is: new graph I thought the new points should be on a line.
My question is:
What is the equation of the line the least squares method results in, or the new points corresponding to each old point?