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least squares method
(redirected from least squares)

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least squares method

Statistical method for finding a line or curve—the line of best fit—that best represents a correspondence between two measured quantities (e.g., height and weight of a group of college students). When the measurements are plotted as points on a graph and seem to fall near the same line, the least squares method may be used to determine the best-fitting line. The method uses calculus techniques to find the minimum of the sum of the squares of the vertical distances of each data point from the proposed line. More generally, the process is called regression or, when the fitted curve is a line, linear regression.



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A model, developed using the partial least squares regression statistical method, predicted whey fat content with a root mean square error of cross-validation of 0.
The investigated hedonic approaches are: 1) ordinary least squares estimation, 2) robust MM-estimation, 3) structural time series estimation and 4) robust local regression.
The system uses principal component analysis and a soft independent modeling class analogy technique for pattern recognition and classification of samples, and partial least squares regression for the quantification of parameters of interest in wine production.
 
 
 
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