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*If <math>S \neq 0</math>, the orthogonal regression line goes through the centroid and is parallel to the vector from the origin to <math>\sqrt{S}</math>.
A [[trigonometry|trigonometric]] representation of the orthogonal regression line was given by Coolidge in 1913.{{sfn|Coolidge|1913}} The [[Distance_from_a_point_to_a_line#Another_formula|distance]] can also be calculated using the more typical equation of a line, given as <math>y=mx+k</math>.
===Application===
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