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 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 = 8

universities in California gave the following information about enrollments and annual burglary incidents

(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 Σx = 152.8, Σx²= 3350.98, Σy = 246, Σxy²= 10,030, and Σxy = 5488.4. Compute r. As x increases, does the value of r imply that y should tend to increase or decrease? Explain.