Statistical methods for the computation of stability constants. Part I. Straight-line fitting of points with correlated errors

Abstract

A rigorous method is described for fitting a straight line to a set of independent points subject to correlated errors. The algoritham is briefly stated, and includes expressions for the estimated standard deviations of the resultant parameters. One application of this general method is detailed: the computation of stability constants from precise potentiometric data for systems of dibasic acids HA, H₂A, and mononuclear metal-ion complexes BA, BA₂. Some other applications are indicated.