The Total Least Squares Adjustment Model of Linear
Regression and Its Solution
1〓Hunan Software Vocational Institute,West-Baoma Road,Xiangtan 411100,China
Abstract Aiming at the adjustment problem that there is a constant vector in the coefficient matrix of the linear regression model, we propose the total least squares adjustment model of linear regression. On the basis of the model, we deduce a computational formula of total least squares estimation. Finally, we apply the method to an example, and verify the feasibility of the method．
Key words ：
total least squares
linear regression
iteration algorithm
errors-in-variables model
constant vector
Received: 26 February 2014
Published: 06 February 2015
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