OPTIKA ATMOSFERY I OKEANA JOURNAL
V.E. ZUEV INSTITUTE OF ATMOSPHERIC OPTICS
Vol. 18, issue 01-02, article # 12
pdf Shchelkanov N. N. A generalized method for construction of linear regression and its application to the development of single-parameter aerosol extinction models. // Atmospheric and oceanic optics. 2005. V. 18. No. 01-02. P. 77-81.Copy the reference to clipboard
Abstract:
A generalized equation for determination of the regression coefficients of the linear equation Y = K0 + K1X is presented for the general case, when the point spread in the correlation between X and Y is caused both by random measurement errors and by uncontrollable physical factors. All the known equations for the regression coefficients appeared to be particular cases of the equation obtained. Methods are proposed and equations are presented for estimation of the rms errors of measured parameters, entering into the equation for calculation of the regression coefficients, from experimental data.