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Pearson积矩相关系数×简单线性回归×
领域统计学统计学
方法族Hypothesis testRegression model
起源年份18951805
提出者Karl PearsonAdrien-Marie Legendre (least squares, 1805); Francis Galton (regression concept, 1886)
类型Parametric correlationParametric bivariate regression
开创性文献Cohen, J. (1988). Statistical Power Analysis for the Behavioral Sciences (2nd ed.). Lawrence Erlbaum Associates. DOI ↗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 ↗
别名pearson r, product-moment correlation, bivariate correlation, Pearson Korelasyon AnaliziSLR, ordinary least squares regression, OLS regression, bivariate regression
相关47
摘要The Pearson product-moment correlation coefficient (r) is a parametric measure of the direction and strength of the linear association between two continuous variables. Introduced by Karl Pearson in 1895, it remains the most widely used bivariate correlation statistic in the social, health, and natural sciences. The coefficient ranges from −1 (perfect negative linear relationship) to +1 (perfect positive), with 0 indicating no linear association.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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ScholarGate方法对比: Pearson Correlation · Simple Linear Regression. 于 2026-06-15 检索自 https://scholargate.app/zh/compare