双变量线性回归的解算

The Computation for Linear Regression of Bi-variable

对于工程实践中较多存在自变量为随机变量的情形,应考虑双变量的线性回归,在总体最小二乘原则下,即∑ni=1(vx2i+vy2i)=min,推导了在此准则下的具体解算方法,得到了相应的公式,最后并以算例加以验证与分析讨论,此方法对于工程实践的数据分析具有较大的参考价值。

Linear regression of bi - variable should be considered that the variable x,y all are stochastic variables under the of criterion of the total least squares n∑i=1（vxi^2＋vyi^2）=min in the engineering practice. The formulae for computation of the linear regression of bi - variable have been obtained in this paper,the example has been calculated and discussed at last, the results show the method is reference to the data processing of the engineering practice.