Robust method for construction of linear regression between two physical parameters in view of their random errors

In the article the author presents a generalized equation for determination of the regression coefficients of the linear equation Y = K0 + K1X for a general case, when spread of points in 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.