In a correlational dataset, if the coefficient of determination is positive, then…
A) The correlation from which the coefficient of determination was calculated is always positive
B) The correlation from which the coefficient of determination was calculated is always negative
C) There is insufficient information to know whether the correlation is positive or negative
D) The correlation from which the coefficient of determination was calculated can be positive or negative.

Question

Quizplus · Accepted Answer

The coefficient of determination (r²) measures the proportion of variance in one variable that can be explained by the variance in another variable. It ranges between 0 and 1, where 0 indicates no correlation and 1 indicates a perfect correlation.

A positive r² indicates that there is a relationship between the two variables, but it does not tell us whether the correlation is positive or negative. Therefore, the correlation from which the coefficient of determination was calculated can be positive or negative.

In a Correlational Dataset, If the Coefficient of Determination Is