The correlation between two variables A and B is .12 with a significance of p

Question

The correlation between two variables A and B is .12 with a significance of p < .01. What can we conclude?
A) That there is a substantial relationship between A and B
B) That there is a small relationship between A and B
C) That variable A causes variable B
D) All of the above.

Quizplus · Accepted Answer

A correlation coefficient of .12 indicates a small relationship between the variables. The significance level of p < .01 means that the relationship is statistically significant, but it does not provide evidence for causality or the strength of the relationship. Therefore, we can conclude that there is a small relationship between A and B, but not any of the other options listed.

The Correlation Between Two Variables a and B Is