Certified Advanced Alcohol and Drug Counselor (CAADC) Practice Exam

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If a correlation coefficient is r=-0.90, what does this indicate about the relationship between the variables?

  1. Weak, positive relationship

  2. Strong, positive relationship

  3. Weak, negative relationship

  4. Strong, negative relationship

The correct answer is: Strong, negative relationship

A correlation coefficient of r = -0.90 indicates a strong negative relationship between the two variables. The value of -0.90 suggests that as one variable increases, the other variable tends to decrease in a consistent manner. This relationship is considered strong due to the proximity of the value to -1, which represents a perfect negative linear correlation. In this context, the magnitude of the correlation (the value before the negative sign) is what signifies the strength of the relationship, while the negative sign denotes the direction. A strong negative relationship implies that there is a substantial degree of association, meaning changes in one variable will be closely linked to inverse changes in the other variable. Understanding this concept is essential for interpreting data in fields such as counseling, where recognizing patterns and correlations can inform treatment decisions and approaches.

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