Physics
Scientific paper
Jan 1992
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992amjph..60...66m&link_type=abstract
American Journal of Physics, Volume 60, Issue 1, pp. 66-73 (1992).
Physics
17
Interpolation, Curve Fitting, Algorithms For Functional Approximation
Scientific paper
Least-squares fitting is reviewed, in tutorial form, when both variables contain significant errors. Various error models are described; corresponding appropriate weighting is discussed; and the interpretation of weighting is clarified by a physically intuitive description and by graphical results. Resources in the literature on least-squares fitting that are suitable for physics and astronomy students are reviewed. Algorithms for straight-line fitting, indicate practical solution methods, are summarized and numerical comparisons are given. Also described are several readily available computer programs that allow fitting for both straight-line and nonlinear situations and that are appropriate for both research and teaching applications.
Macdonald James R.
Thompson William J.
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