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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.
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.
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There is almost no association between the variables.