Overview

least squares


Show Summary Details

Quick Reference

The method of least squares is used to estimate parameters in statistical models such as those that occur in regression. Estimates for the parameters are obtained by minimizing the sum of the squares of the differences between the observed values and the predicted values under the model. For example, suppose that, in a case of linear regression, where E(Y)=α+βX, there are n paired observations (x1, y1), (x2, y2),…, (xn, yn). Then the method of least squares gives a and b as estimators for α and β, where a and b are chosen so as to minimize ∑ (yiabxi)2.

Subjects: Mathematics.


Reference entries

See all related reference entries in Oxford Index »


Users without a subscription are not able to see the full content. Please, subscribe or login to access all content.