A practical guide to the method of least squares
University of California Radiation Laboratory, 1958 - Curve fitting - 22 pages
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a x distribution abscissa Appendix approximating function approximating function N assume Average Error average value best fits California and Michael California Berkeley California Livermore California October 17 chi-square COEFFICIENTS OF f(x curve fitting Cziffra Radiation Laboratory degrees of freedom employee or contractor equations estimate Experimental Point F test fits the data fitting curve function F(x GOODNESS-OF-FIT CRITERIA i=l h ideal fit justify the formulae k<xi large number least squares list and roughly matrix METHOD OF LEAST Moravcsik Radiation Laboratory n n N normally distributed number of measurements obey a relation Peter Cziffra Radiation physical law Pk q plateau Points of Observation polynomials practical summary probability q obeys quantities which describe Radiation Laboratory University residuals roughly justify series of degree short and practical standard deviation summary of curve systematic error terminate the series true uncertainty University of California Values of q variables