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Regressió polinòmica×Splines de regressió i de suavització×
CampEstadísticaAprenentatge automàtic
FamíliaRegression modelMachine learning
Any d'origen20121996
Autor originalMontgomery, Peck & Vining (textbook treatment); classical least squaresSpline regression literature; P-splines by Eilers & Marx
TipusLinear regression in transformed predictorsPiecewise-polynomial nonparametric regression
Font seminalMontgomery, D. C., Peck, E. A. & Vining, G. G. (2012). Introduction to Linear Regression Analysis. Wiley. ISBN: 978-0470542811Eilers, P. H. C., & Marx, B. D. (1996). Flexible smoothing with B-splines and penalties. Statistical Science, 11(2), 89–121. DOI ↗
Àliespolynomial least squares, curvilinear regression, Polinom Regresyonusplines, cubic splines, natural splines, smoothing splines
Relacionats44
ResumPolynomial 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.Regression splines model a nonlinear relationship by fitting piecewise polynomials that join smoothly at a set of points called knots. Cubic and natural splines are the most common, and smoothing splines add a roughness penalty that automatically balances fit against smoothness. Splines are the standard flexible building block for univariate nonlinear regression and the basis of generalized additive models.
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ScholarGateCompara mètodes: Polynomial Regression · Regression Splines. Recuperat el 2026-06-18 de https://scholargate.app/ca/compare