# Understanding Negative Correlations: From Coefficients to Causation

Chapter , Problem 9

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QUESTION:

Which of the following is a positive correlation?

a. As study time decreases, students achieve lower grades.

b. As levels of self-esteem decline, levels of depression increase.

c. People who exercise regularly are less likely to be obese.

d. Gas mileage decreases as vehicle weight increases.

e. Repeatedly shooting free throws in basketball is associated with a smaller percentage of missed free throws.

QUESTION:

Which of the following is a positive correlation?

a. As study time decreases, students achieve lower grades.

b. As levels of self-esteem decline, levels of depression increase.

c. People who exercise regularly are less likely to be obese.

d. Gas mileage decreases as vehicle weight increases.

e. Repeatedly shooting free throws in basketball is associated with a smaller percentage of missed free throws.

Step 1 of 3

A system is said to be positively correlated if both the variables are in the same direction. A correlation coefficient that is greater than zero is maintained. In a positive correlation, either both variables increase simultaneously, or the variables decrease. The peculiarity lies in the direction of the variables. A similarity in direction is observed here. A correlation coefficient value that is less than zero indicates a negative correlation.