Question

determine which set(s) of two variables have a strong positive correlation and explain why this is so in each scenario
select all options that demonstrate a strong positive correlation.
a. the amount of snow fallen and the number of snow shovels sold show a strong positive correlation because people tend to buy more snow shovels when it is snowier.
b. physical activity and percentage of body fat show a strong positive correlation because people who are physically active tend to have less body fat.
c. hours spent studying for tests and gpa show a strong positive correlation becuase students that spend more time studying tend to have higher gpas.
d. temperature and the number of clothing layers worn show a strong positive correlation because people tend to wear fewer layers when it is warmer.

Explanation:

• Option A: When more snow falls (increase in one variable), more snow shovels are sold (increase in the other variable). So, there is a positive correlation as the two variables move in the same direction.
• Option B: Physical activity and percentage of body fat have a negative correlation. As physical activity increases, body - fat percentage tends to decrease.
• Option C: As the number of hours spent studying (one variable) increases, GPA (the other variable) tends to increase. So, there is a positive correlation.
• Option D: Temperature and the number of clothing layers have a negative correlation. As temperature increases, the number of clothing layers worn decreases.

Answer:

A. The amount of snow fallen and the number of snow shovels sold show a strong positive correlation because people tend to buy more snow shovels when it is snowier.
C. Hours spent studying for tests and GPA show a strong positive correlation because students that spend more time studying tend to have higher GPAs.