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in one study, it was found that the correlation coefficient between two…

Question

in one study, it was found that the correlation coefficient between two variables is 0.01. which statement is true? there is a strong negative association between the variables. there is a strong positive association between the variables. there is a perfect association between the variables. there is almost no association between the variables.

Explanation:

Step1: Recall correlation - coefficient range

The correlation coefficient $r$ ranges from - 1 to 1. A value of $r = 1$ indicates a perfect positive linear association, $r=-1$ indicates a perfect negative linear association.

Step2: Analyze the given value

The given correlation coefficient is $r = 0.01$. Values close to 0 indicate a weak or almost no linear association. Since 0.01 is very close to 0, there is almost no association between the variables.

Answer:

There is almost no association between the variables.