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Vähimruutude meetod (OLS)×Lihtne lineaarne regressioon×
ValdkondStatistikaStatistika
PerekondRegression modelRegression model
Tekkeaasta18051805
LoojaAdrien-Marie Legendre (1805); Carl Friedrich Gauss (1809)Adrien-Marie Legendre (least squares, 1805); Francis Galton (regression concept, 1886)
TüüpLinear parameter estimationParametric bivariate regression
AlgallikasLegendre, A.-M. (1805). Nouvelles méthodes pour la détermination des orbites des comètes. Firmin Didot, Paris. [Appendix: Sur la Méthode des moindres quarrés, pp. 72–80.] link ↗Legendre, A. M. (1805). Nouvelles méthodes pour la détermination des orbites des comètes. Firmin Didot, Paris. [Appendix: Sur la méthode des moindres quarrés, pp. 72–80] link ↗
RööpnimetusedOLS, OLS regression, linear least squares, classical linear regressionSLR, ordinary least squares regression, OLS regression, bivariate regression
Seotud87
KokkuvõteOrdinary Least Squares (OLS) is the canonical method for estimating the parameters of a linear regression model by minimizing the sum of squared differences between observed and predicted values. First published by Adrien-Marie Legendre in 1805 and independently developed by Carl Friedrich Gauss (who claimed priority from 1795), OLS is provably optimal under the Gauss-Markov theorem: given its assumptions, it yields the Best Linear Unbiased Estimator (BLUE) of the regression coefficients.Simple linear regression is the foundational parametric method for modelling a straight-line relationship between one continuous predictor and one continuous outcome, estimating the slope and intercept by ordinary least squares (OLS). The least squares principle was first published by Adrien-Marie Legendre in 1805, and Francis Galton introduced the concept of regression to the mean in 1886, coining the term that names the entire family of methods.
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ScholarGateVõrdle meetodeid: Ordinary Least Squares · Simple Linear Regression. Loetud 2026-06-18 aadressilt https://scholargate.app/et/compare