Ultimate Trader uses the Least-Squares Line method to determine the plot points for the Best-Fit trend line.
Formula for Least-Squares Line:
The least-squares line uses a straight line

To approximate the given set of data, (X1,Y1) , (X2,Y2) , ..., (Xn,Yn) , where .
The best fitting curve
has the least square error, i.e.,

NOTE: a and b are unknown coefficients while all X1 and Y1 are given. To obtain the least square error, the unknown coefficients a and b must yield zero first derivatives.
Expanding the above equations, we have:

The unknown coefficients a and b can therefore be obtained:

where
stands for 