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 13.5 30.6 24.5 14.3 7.5 27.7 16.2 20.1

y 28 70 39 23 15 30 15 25

(a) Make a scatter diagram of the data.

(b) Use a calculator to verify that x = 154.4, x2 = 3413.34, y = 245, y2 = 9709 and xy = 5493.4.

Compute r. (Round to 3 decimal places.)

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

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

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

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

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