Difference between Least Squares (LS) and Ordinary Least Squares (OLS)

Asked By: Anonymous

Difference between Least Squares (LS) and Ordinary Least Squares (OLS) with respect to Linear regression.

What I found:-
On searching a bit, I got a difference that in ordinary least squares we consider only the vertical distance between the predicted value and the given dependant variable, whereas, in the least Squares, we consider vertical and horizontal distance.

Please correct me if I’m wrong, add details if the explanation not complete or true.


Answered By: Anonymous

This is even more confusing because LS depends on wrt what deviation is considered.

Generally the usual OLS is wrt the deviations on ordinates of the points.

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Copied from pp. 7-8 in https://fr.scribd.com/doc/14819165/Regressions-coniques-quadriques-circulaire-spherique

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