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Home Statistics Linear Regression  
See also: Leverage Effect, Regression of Weakly Correlated Data, Splines  
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Linear regression can be seen as kind of an optimization problem: if the regression line is displayed in the space spanned by the parameters of the equation of the regression line, we can easily find the solution. Assuming that the line is defined by y = kx + d we can display this line by a single point in the {k,d} space. If we augment this 2dimensional space by a third coordinate which represents the sum of the squared residuals we finally arrive at a three dimensional surface, which is commonly called the error surface of the regression problem. The optimum line (the "regression line") can now be found by searching the minimum of the error surface.
