| 一元线性回归模型的参数估计法的误差分析 |
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| 引用本文： | 唐薇,冯长焕.一元线性回归模型的参数估计法的误差分析[J].宜宾学院学报,2014(12):18-21. |
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| 作者姓名： | 唐薇 冯长焕 |
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| 作者单位： | 西华师范大学数学与信息学院,四川南充637002 |
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| 摘 要： | 对横向距离平方和最小法与最小二乘法的误差进行分析,发现二者的误差大小与拟合直线的斜率有关.这两种方法的参数估计表达式与最小距离平方和法的参数估计表达式有相应的关系.通过举例比较和讨论了这三种数据拟合方法的优劣,并分别给出了较合理的应用控制条件.
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| 关 键 词： | 参数估计 横向距离平方和最小法 最小二乘法 回归分析 |
Error Analysis of Parameter Estimating Method in Single Variable Linear Regression |
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| Authors: | TANG Wei FENG Changhuan |
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| Institution: | (College of Mathematics and Information, China West Normal University, Nanchong, Sichuan 637002, China) |
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| Abstract: | The minimum sum of lateral distance square and the least square method were analyzed, finding that their errorare related to the slope of the fitted line and that the parameter estimating expression of the two methods are associatedwith the expression of the least distance square method. Through comparison, the advantages and disadvantages of thethree methods were discussed and reasonable application control conditions were given. |
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| Keywords: | parameter estimation the minimum sum of lateral distance square the least square method regression analysis |
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