Keywords
polynomial curve fitting, data, uncertainty, least squares, regression
Abstract
This article reviews the theory and some good practice for fitting polynomials to data. I show by theory and example why fitting using a basis of orthogonal polynomials rather than monomials is desirable. I also show how to scale the independent variable for a more stable fit. I also demonstrate how to compute the uncertainty in the fit parameters. Finally, I discuss regression analysis: how to determine whether adding an additional term to the fit is justified.
BYU ScholarsArchive Citation
Turley, R. Steven, "Polynomial Fitting" (2018). Faculty Publications. 2237.
https://scholarsarchive.byu.edu/facpub/2237
Document Type
Peer-Reviewed Article
Publication Date
2018-09-01
Permanent URL
http://hdl.lib.byu.edu/1877/5107
Language
English
College
Physical and Mathematical Sciences
Department
Physics and Astronomy
Copyright Use Information
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