Linear least-squares fits with errors in both coordinates. II: Comments on parameter variances

1 January 1992

journal article
Published by American Association of Physics Teachers (AAPT) in American Journal of Physics

Vol. 60 (1) , 59-62
https://doi.org/10.1119/1.17044

Abstract

Corrected expressions for parameter variances in linear (straight‐line) least‐squares fits given in an earlier paper [B. C. Reed, Am. J. Phys. 5 7, 642–646 (1989)] are presented and discussed. In addition, some simplifications to the solution given in that paper are presented, and some comments made as to the role of weighting.

Keywords

ERRORS
LEAST SQUARE FIT
DATA ANALYSIS
COORDINATES
STRAIGHT−LINE PATH APPROXIMATION
WEIGHTING FUNCTIONS
ALGORITHMS
STATISTICS
COMPUTER CALCULATIONS
NUMERICAL DATA
NUMERICAL ANALYSIS

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