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琳 · 2022年08月16日

老师

NO.PZ2018062001000009

问题如下:

Which of the following statements is correct?

选项:

A.

The larger the value of correlation coefficient is, the weaker the linear relationship will be.

B.

The smaller the absolute value of correlation coefficient is, the weaker the linear relationship will be.

C.

The smaller the value of correlation coefficient is, the weaker the linear relationship will be.

解释:

B is correct.

When the correlation coefficient equals 1.00, the variables have the strongest positive linear relationship. When the correlation coefficient equals -1.00, the variables have the strongest negative linear relationship. When the correlation coefficient equals 0, the variables have no linear relationship. Therefore, the smaller the absolute value of correlation coefficient is, the weaker the linear relationship will be.

请问老师 C选项什么意思

1 个答案

星星_品职助教 · 2022年08月16日

同学你好,

C选项的描述为相关系数(correlation coefficient )越小,线性关系越弱。

这个描述是错误的,衡量两个变量之间线性关系需要看的是相关系数的绝对值。例如相关系数-0.9比+0.1小,但前者的(负)线性相关性更强。