化学计算中的加权最小二乘法

Weighted Least Squares Method in Chemical Calculation

非线性问题经数学代换后转化为线性问题进行一元线性回归时,用加权最小二乘法比用等权(单位权)最小二乘法更有益,所得残差要更小。在此结合几个具体实例进行了一般的讨论。

The weighted least squares method should be applied when non-Linary relation is converted into linary relation by means of transformation, because the resulting sum of squares of the individual deviations can be reduced obviously. In this paper the general discussion was made combin-ing with several examples.