University Crime: FBI Report 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 infl uence crime rates. 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 5 8 universities in California gave the following information about enrollments and annual burglary incidents (Reference: Crime in the United States, Federal Bureau of Investigation).

x 12.5 30.0 24.5 14.3 7.5 27.7 16.2 20.1 y 26 73 39 23 15 30 15 25

(a) Make a scatter diagram and draw the line you think best fi ts the data.

(b) Would you say the correlation is low, moderate, or high? positive or negative?

(c) Using a calculator, verify that x 5 152.8, x2 5 3350.98, y 5 246, y2 5 10,030, and xy 5 5488.4. Compute r. As x increases, does the value of r imply that y should tend to increase or decrease? Explain.