Question

Let's say that we have two variables X and Y. We calculate their correlation value to be r = -.8012. What is the interpretation of this value?

Answer 1

Solution:

Given:

The correlation coefficient between two variables X and Y is -0.8012

that is: r = -0.8012

We have to  interprete this value.

Following are the interpretations are for correlation coefficient r :

1) If r = -1 , then there is perfect negative correlation
2) if -1 < r ≤ -0.80 , then there is Strong negative correlation
3) if -0.80 < r ≤ -0.30, then there is moderate negative correlation
4) if -0.30 < r < 0 , then there weak negative correlation
5) if r = 0 , then there no or zero correlation
6) if 0 < r < 0.30 then there is weak positive correlation
7) if 0.30 ≤ r < 0.80 , then there is moderate positive correlation
8) if 0.80 ≤ r < 1 , then there is strong positive correlation
9) if r = 1 , then there is perfect positive correlation

Since r = -0.8012 fall within the range -1 and -0.80

that is:  -1 < r = -.0.8012 < -0.80,

thus there is Strong negative correlation between X and Y.