Reference no: EM132848516

Do larger universities tend to have more property crime? University crime statistics are affected by a variety of factors. The surrounding community, accessibility given to outside visitors, and many other factors influence crime rate. Let x be a variable that represents student enrollment (in thousands) on a university campus, and let y be a variable that represents the number of burglaries in a year on the university campus. A random sample of n = 8 universities in California gave the following information about enrollments and annual burglary incidents.

x 11.5 31.8 24.5 14.3 7.5 27.7 16.2 20.1

y 26 78 39 23 15 30 15 25

(1) Compute r. (Round to 3 decimal places.)

(2) As x increases, does the value of r imply that y should tend to increase or decrease? Explain your answer.

a. Given our value of r, y should tend to decrease as x increases.

b. Given our value of r, y should tend to increase as x increases.

c. Given our value of r, we can not draw any conclusions for the behavior of y as x increases.

d. Given our value of r, y should tend to remain constant as x increases.