Question

question 2 of 25
suppose the correlation coefficient between the number of college students in a city and the number of city buses is 0.89. which statement must be true?
a. as the number of college students increases, the number of buses tends to decrease.
b. having more buses in a city causes an increase in the number of college students because it helps students get to class more easily.
c. as the number of college students increases, the number of buses tends to increase.
d. having more college students causes an increase in the number of buses because most college students dont own a car.

Explanation:

The correlation coefficient \(r = 0.89\) is positive. A positive correlation coefficient means that as one variable (number of college students) increases, the other variable (number of buses) tends to increase. Correlation does not imply causation. So, options B and D which imply causation are incorrect. Option A is incorrect as the positive correlation does not support a decrease in the number of buses as college students increase.

Answer:

C. As the number of college students increases, the number of buses tends to increase.