Select the best interpretation of the correlation coefficient r = -.87
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To interpret the correlation coefficient, we need to consider its range (-1 to +1) and the sign (+ or -) it holds. In this case, the correlation coefficient is -0.87.
The sign of the correlation coefficient tells us about the direction of the relationship between the two variables. When the sign is negative (-), it means that as one variable increases, the other variable tends to decrease.
The magnitude of the correlation coefficient (ranging from 0 to 1) tells us about the strength of the relationship between the two variables. In this case, -0.87 indicates a relatively strong negative relationship.
So, the best interpretation of r = -0.87 is that there is a strong negative relationship between the two variables being studied. As one variable increases, the other variable tends to decrease.