Question: 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 influence crime rate. Let x be a variable that represents the number of burglaries in a year on a university campus. Let y be a variable that represents the number of burglaries in a year on a university campus. A random sample of n = 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 07.5 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 fits the data.

b.) Would you say the correlation is low, moderate, or high? Positive or negative?

c.) Using a calculator, Verify that Ex = 152.8, Ex² = 3350.98, Ey = 246, Ey² = 10,030, and Exy = 5488.4. Compute r. As x increases, does the value of r imply that y should tend to increase or decrease? Explain.