Which of the following correlation coefficients represents t

Which of the following correlation coefficients represents the variables with the strongest degree of relationship?

Solution

The answer is -1.00.

The correlation coefficient (r) can be between -1 and 1, and the closer it is to either -1 or to 1 the stronger the correlation between the two variables is. The difference between a negative correlation and a positive correlation is that in a positive correlation as one variable increases, so does the other. In a negative correlation, as one variable increases, the other decreases. That said, whether r is positive or negative is not related to how strong the correlation is (ie negative correlations can be stronger than positive ones).