Comparison of the 2nd Method for a Line Fit a Pearson Example

  In On Lines and Planes of Closest Fit Pearson worked an example problem to illustrate the use normal errors. We can use the eigenmatrix equation to find the direction for the best fit.

Comparing the mean of the data points, r₀ above, with Pearson's centroid and the two values for the slope we see that we get the same solution both ways.