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六姑娘 · 2023年07月02日

A和B，A和C为什么是perfect positive correlation的关系，不明白

  1. Quantitative

NO.PZ2022123001000054

问题如下：

An analyst gathered information about three economic variables, He noted that whenever variable A increased by one unit, variable B increased by 0.5 units but variable C decreased by 0.5 units. The correlation between variables A and B and the correlation between variables A and C respectively, are closest to:

选项：

Correlation between variables A and B
Correlation between variables A and C
A.
0.5
-1.0
B.
0.5
-0.5
C.
1.0
-1.0

解释：

The relationship between variables A and B is perfect positive correlation (1.0) and the relationship between variables A and C is perfect negative correlation (-1.0).


A和B，A和C为什么是perfect positive correlation的关系，不明白

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1 个答案

星星_品职助教 · 2023年07月05日

同学你好，

A增加1单位，B增加固定的常数值（本题为0.5），则A和B为perfect positive correlation (ρ=1)。反之，如果A增加1单位，B增加的数值是变化的，则不是perfect positive correlation，此时0＜ρ＜1.

同理，A增加1单位，C减少固定的常数值，则为perfect negative correlation (ρ=-1).

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