A practical guide to the method of least squares
University of California Radiation Laboratory, 1958 - Curve fitting - 22 pages
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abscissa approximating function assume Average Error average value AZ(x best fits California and Michael California Berkeley California June California Livermore chi-square COEFFICIENTS OF f(x Commission curve fitting Cziffra Lawrence Radiation degrees of freedom denoted employee or contractor equations estimate expect q experimental point F test fitting curve function F(x GOODNESS-OF-FIT CRITERIA i+k+i ideal fit justify the formulae k(xi large number Lawrence Radiation Laboratory least squares list and roughly matrix METHOD OF LEAST Moravcsik Lawrence Radiation normally distributed number of measurements obey a relation obtain Peter Cziffra Lawrence plateau Points of Observation polynomial practical summary probability process disclosed q and q q obeys a x 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 underlying physical law University of California variables