An article titled "College Recreation Facility Survey" reported the following results from 358 four-year colleges and universities in the United States and Canada.
Total Square Feet Devoted
Enrollment Number of Schools to Recreation per School
0 - 1,249 58 47,864
1,250 - 2,499 53 71,828
2,500 - 4,999 53 89,716
5,000 - 9,999 62 101,016
10,000 - 17,999 68 127,952
18,000 or over 64 200,896
a. Using the midpoint of the first five enrollment classes and 25,000 in place of the class 18,000 or over for the x-values and the total square feet devoted to recreation per school for the y-values, find the linear correlation coefficient between x and y.
b. What does the value of this correlation seem to be telling us? Explain.