In the case of three major axis of this ellipse falls on the orthogonal regression line for the three vertices.
2.
It is a generalization of Deming regression and also of orthogonal regression, and can be applied to both linear and non-linear models.
3.
Knowing the shortest distance from a point to a line can be useful in various situations & mdash; for example, finding the shortest distance to reach a road, quantifying the scatter on a graph, etc . In Deming regression, a type of linear curve fitting, if the dependent and independent variables have equal variance this results in orthogonal regression in which the degree of imperfection of the fit is measured for each data point as the perpendicular distance of the point from the regression line.
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