Question

(from unit 4, lesson 2)

1. data for average temperature and the number of bicycle rentals shows a linear relationship. the correlation coefficient for the data is 0.87. which of the following is the best interpretation of the correlation coefficient?

a. there is a strong, positive relationship.
b. there is a moderate, positive relationship.
c. there is a strong, negative relationship.
d. there is a weak, negative relationship.
(from unit 4, lesson 2)

Explanation:

To interpret the correlation coefficient (0.87):

• Sign: Positive (since 0.87 > 0), so the relationship is positive.
• Strength: Correlation coefficients close to ±1 are strong. 0.87 is close to 1, indicating a strong relationship.

Answer:

a. There is a strong, positive relationship.