| 二元线性回归的不确定度评定方法 |
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| 引用本文： | 冯小娟.二元线性回归的不确定度评定方法[J].西安建筑科技大学学报(自然科学版),2000,32(3):304-306. |
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| 作者姓名： | 冯小娟 |
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| 作者单位： | 西安建筑科技大学理学院,陕西,西安,710055 |
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| 摘 要： | 讨论了根据最小二乘法原理拟合二元线性回归方程ｙ＝ａ０＋ａ１ｘ＋ａ２ｘ２时，系数ａ０，ａ１，ａ２的估算值及其不确定度评价，解决了目前在进行ａ０，ａ１，ａ２的误差估算时不考虑自变量的误差对结果的影响及不考虑因变量ｙ的Ｂ分量误差的影响这两个问题，提出了更科学更合理的新方法，具有推广价值。
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| 关 键 词： | 二元线性回归 不确定度 最小二乘法 测量误差 |
| 文章编号： | 1006-7930(2000)03-0304-03 |
| 修稿时间： | 2000-02-21 |
Method for estimating uncertainties about two-variable linear regression |
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| FENG Xiao-juan.Method for estimating uncertainties about two-variable linear regression[J].Journal of Xi'an University of Architecture & Technology,2000,32(3):304-306. |
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| Authors: | FENG Xiao-juan |
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| Affiliation: | FENG Xiao-juan ;
(School of Science, Xi |
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| Abstract: | In this article, the estimating of the parameters a 0,a 1,a 2 of the two variable linear regression equation y=a 0 a 1x 1 a 2x 2 according to the principle of the least square fit for their uncertainties is discussed. we try to solve the two big problems presents in the prevail methods used to estimate the error of those parameters:without considering the effect of the error of the independent variables or the B component of the error of the variable y. Finally a new method more scientific and more reasonable is generalized. |
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| Keywords: | two variable linear regression uncertainty principle of the least square |
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