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 =. 025. What can we conclude? Select one: a. That variable A causes variable B b. That there is a substantial relationship between A and B c. That there is a small relationship between A and B d. All of the above When interpreting a correlation coefficient it is important to look at a. The magnitude of the correlation coefficient b The significance of the correlation coefficient c. All of the above d. The sign of the correlation coefficient

Explanation / Answer

Since correlation between two variables is always within -1 to +1 i am assuming in your problem it is 0.12 as it is not visible clearly. I will proceed based on that assumption.

Correlation determines the extent to which variables movement's are associated.

Here it is r=0.12 and significance of p=0.025. Significance tells how unlikely a given correlation coefficient, r, will occur given no relationship in the population. The smaller the p-level, the more significant the relationship

We know that when r=0 there is no correlation between variables but when r>0 there is some relationship between variables. Hence in this case we have a Weak Positive Correlation between A and B which is significant for atleast for 2.5% of the Variables's members.

The correct answer would be c.

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