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رگرسیون چندجمله‌ای×رگرسیون حداقل مربعات معمولی (OLS)×
حوزهآماراقتصادسنجی
خانوادهRegression modelRegression model
سال پیدایش20122019
پدیدآورMontgomery, Peck & Vining (textbook treatment); classical least squaresWooldridge (textbook treatment); classical least squares
نوعLinear regression in transformed predictorsLinear regression
منبع بنیادینMontgomery, D. C., Peck, E. A. & Vining, G. G. (2012). Introduction to Linear Regression Analysis. Wiley. ISBN: 978-0470542811Wooldridge, J. M. (2019). Introductory Econometrics: A Modern Approach (7th ed.). Cengage Learning. ISBN: 978-1337558860
نام‌های دیگرpolynomial least squares, curvilinear regression, Polinom Regresyonuordinary least squares, classical linear regression, linear regression, en küçük kareler regresyonu
مرتبط45
خلاصهPolynomial regression is a regression method that models non-linear relationships by including squared and higher-degree terms of an explanatory variable, and it is a core tool of response surface analysis. As developed in Montgomery, Peck and Vining's Introduction to Linear Regression Analysis (2012), it remains linear in its parameters even though the fitted curve bends.Ordinary Least Squares is the classical linear regression method that explains a continuous outcome as a linear combination of predictors. It estimates the coefficients by minimising the sum of squared residuals, and under the Gauss-Markov assumptions these estimates are the best linear unbiased estimator (BLUE).
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ScholarGateمقایسهٔ روش‌ها: Polynomial Regression · OLS Regression. بازیابی‌شده در 2026-06-17 از https://scholargate.app/fa/compare