| 三元线性回归方程的矩阵运算及其结果分析 |
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| 引用本文： | 张振坤.三元线性回归方程的矩阵运算及其结果分析[J].北京联合大学学报(自然科学版),1995,9(1):44-50. |
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| 作者姓名： | 张振坤 |
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| 作者单位： | 北京联合大学纺织工程学院 |
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| 摘 要： | 通过三元线性回归方程的建立过程，运用矩阵“打洞”，分块矩阵求逆等方法推出两个偏回归平方和等结果，并利用向量以及投影阐述各量之间的关系。由实例结果分析，证实偏回归平方和在回归分析中的重要作用，从而避免因夸大回归系数作用而带来的判断失误。
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| 关 键 词： | 矩阵 分块矩阵 线性方程 回归分析 |
The Matrix Calculus and Result Analysis of Three-element Linear Regression Equation |
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| Zhan Zhenkun.The Matrix Calculus and Result Analysis of Three-element Linear Regression Equation[J].Journal of Beijing Union University,1995,9(1):44-50. |
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| Authors: | Zhan Zhenkun |
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| Abstract: | By structuring three-element linear regression etluation,appling the methods ofholing a matrix and block matrix inversion,the autho;deduces two-element partial regressionequation square sum and other calculus results,expounds their relation significance using vec-tor and vector projection. Examples and their result analysis verify the importance of partialregression square sum in regression analysis,thus avoiding the likely errors of judgment result-ed in by magnifing the regression coefficients. |
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| Keywords: | holing a matrix block matrix partial regression square sum vector projection |
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