Comparar métodos
Examine os métodos selecionados lado a lado; as linhas que diferem ficam destacadas.
| Mínimos Quadrados Ordinários (MQO)× | Regressão Linear Simples× | |
|---|---|---|
| Área | Estatística | Estatística |
| Família | Regression model | Regression model |
| Ano de origem | 1805 | 1805 |
| Autor original≠ | Adrien-Marie Legendre (1805); Carl Friedrich Gauss (1809) | Adrien-Marie Legendre (least squares, 1805); Francis Galton (regression concept, 1886) |
| Tipo≠ | Linear parameter estimation | Parametric bivariate regression |
| Fonte seminal≠ | 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 ↗ | 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 ↗ |
| Outros nomes | OLS, OLS regression, linear least squares, classical linear regression | SLR, ordinary least squares regression, OLS regression, bivariate regression |
| Relacionados≠ | 8 | 7 |
| Resumo≠ | Ordinary 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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