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A NEW METHOD FOR ESTABLISHING REGRESSION MODEL

The regression method is used to study the related but not determined relations between variables, which is widely used in the field of deformation monitoring data processing and analyzing.The method based on classical least squares under the indirect adjustment model or on singular value decomposition under the overall least squares criterion for solving vegression parameters has some limitations in practical applications,it may weaken the statistical significance of the regression model and the significance test even will fail .A new method is proposed that is to establish the approximate regression equation by the traditional method first,then amendment the regression model by the Total Least Squares. The feasibility and correctness of the new method are verified by the simulation data and measured real deformation data and the prediction accuracy can be improved.