| 线性数据拟合方法的误差分析及其改进应用 |
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| 引用本文： | 周浩. 线性数据拟合方法的误差分析及其改进应用[J]. 大学数学, 2013, 29(1): 70-76 |
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| 作者姓名： | 周浩 |
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| 作者单位： | 郑州大学,河南郑州,450001 |
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| 摘 要： | 利用最小二乘法进行线性数据拟合在一定条件下存在着误差较大的缺陷,为使线性数据拟合方法在科学实验和工程实践中能够更加准确地求解量与量之间的关系表达式,本文通过对常用线性数据拟合方法———最小二乘法进行了误差分析,并在此基础上提出了最小距离平方和法以对最小二乘法作改进处理.最后,通过举例分析对两种线性数据拟合方法的优劣加以讨论并分别给出其较为合理的应用控制条件.
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| 关 键 词： | 数据拟合 最小二乘法 误差分析 最小距离平方和法 线性相关 |
Error Analysis and Improved Application of Linear Data Fitting Method |
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| Zhou Hao. Error Analysis and Improved Application of Linear Data Fitting Method[J]. College Mathematics, 2013, 29(1): 70-76 |
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| Authors: | Zhou Hao |
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| Affiliation: | Zhou Hao(Zhengzhou University,Zhengzhou 450001,China) |
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| Abstract: | The error in linear data fitting is relativity bigger than using least square method in some conditions.In order to fit out the relational expression in the science research and the engineering practice more accurate,the least distance square method is derived and the least square method is improved basing on the error analysis of the least square method.At last the advantages and disadvantages of the two methods have been compared and discussed through some examples and then the control condition of the two methods are given respectively. |
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| Keywords: | data fitting least square method error analysis the least distance square method linearly dependence |
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