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Regresjons- og utjevningsspliner×Polynomregresjon×
FagfeltMaskinlæringStatistikk
FamilieMachine learningRegression model
Opprinnelsesår19962012
OpphavspersonSpline regression literature; P-splines by Eilers & MarxMontgomery, Peck & Vining (textbook treatment); classical least squares
TypePiecewise-polynomial nonparametric regressionLinear regression in transformed predictors
Opprinnelig kildeEilers, P. H. C., & Marx, B. D. (1996). Flexible smoothing with B-splines and penalties. Statistical Science, 11(2), 89–121. DOI ↗Montgomery, D. C., Peck, E. A. & Vining, G. G. (2012). Introduction to Linear Regression Analysis. Wiley. ISBN: 978-0470542811
Aliassplines, cubic splines, natural splines, smoothing splinespolynomial least squares, curvilinear regression, Polinom Regresyonu
Relaterte44
SammendragRegression 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.Polynomial 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.
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ScholarGateSammenlign metoder: Regression Splines · Polynomial Regression. Hentet 2026-06-18 fra https://scholargate.app/no/compare