polynomial curve fitting, data, uncertainty, least squares, regression
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). All Faculty Publications. 2237.
Physical and Mathematical Sciences
Physics and Astronomy
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