Question

suppose the correlation coefficient between the number of professional sports teams in a city and the number of hospital is 0.72.

Answer 1

A. As the number of sports teams increase, the numbers of hospitals tends to increase

Explanation:

The question says 'must to be true' and the only thing we know for sure is that the correlation coefficient is positive and that means as the number of sport teams increase, the number of hospital also increase.

All the the other options suggest a causation between the two phenomenons; those can be true or cannot because correlation doesn't mean causation.

Answer 2

The correct answer is Choice A.

If the correlation coefficient is 0.72, it is positive. That means the variables are increasing together.

However, it does not imply causation, only that there is a pattern in the data. You would have to do more research to understand why.