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Instead of drawing a line that minimizes the sum of the squares of the vertical distances to the observed points, you minimize the sum of the vertical distances. To stick to the example above, the LAD alpha would be 0.56% annualized, and the slope (beta) would be 0.78, which is steeper than the OLS beta of 0.61.Another alternate method is Theil Sen regression. Basically, you connect every single observed point to all the other points.
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