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Abstract A method is developed for finding a straight line of best fit to a set of two dimensional points such that the sum of the absolute values of the vertical deviations of the points from the line is a minimum. This is first done with the restriction that the line pass through any designated point. In this case one application of a numerical procedure leads to the solution, which may be an unique line, or a sheaf of lines. When the restriction is removed, iteration of the procedure is necessary to find the line or lines of least deviations.
Otto J. Karst (Sat,) studied this question.
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