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关于相关系数性质的三种证明方法
引用本文:钱伟民,杨筱菡.关于相关系数性质的三种证明方法[J].大学数学,2009,25(1).
作者姓名:钱伟民  杨筱菡
作者单位:同济大学,数学系,上海,200092
摘    要:对相关系数性质的三种证明方法进行了讨论,指出其优劣.并将相关系数性质应用于线性回归分析之中.

关 键 词:相关系数  Cauchy-Schwarz不等式  线性回归分析

Three Ways to Prove the Properties of Correlation Coefficient
QIAN Wei-min,YANG Xiao-han.Three Ways to Prove the Properties of Correlation Coefficient[J].College Mathematics,2009,25(1).
Authors:QIAN Wei-min  YANG Xiao-han
Institution:Department of Mathematics;Tongji University;Shanghai 200092;China
Abstract:There are three ways to prove the properties of correlation coefficient. The advantage of different ways is discussed. The application of the properties of correlation coefficient in the linear regression analysis has been introduced.
Keywords:correlation coefficient  Cauchy-Schwarz inequality  linear regression analysis  
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