实验数据的最小二乘拟合算法与分析

The Algorithm and Analysis from Experiment Data by Means of Minimum Double Multiplication

曲线拟合的优度,以及正交多项式最佳阶数的选择是程序研制过程中一个很关键的问题,用正交多项式最小二乘法进行曲线拟合是一种处理实验数据的重要手段。通过严格的数学推导,选择正交多项式,采用最小二乘逼近作为拟合实验数据的方法,利用F检验,确定实验数据拟合优度及最佳阶数,用编制的程序来拟合实验数据,得到了较好的结果。

To choose the optimum of curve fitting and the optimal factor of the orthog onal polynomials is a very crucial question in the course of researching program , It＇s an impontant means of dealing with experimental data to fit curve with the orthogonal polynomials and minimum double multiplication, This paper uses a method of minimum double multiplication opproaching as fit culve experimental date by strict mathematical deduction and selection of the orthog and polynomials. The author uses F evalution determine the opimum of curve fitting and the optimal factor, fit the experimental data and obtain pleasing results.