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 student enrollment (in thousands) on a university campus, and let y be 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 (Reference: Crime in the United States, Federal Bureau of Investigation):

(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 ˆ‘x = 152.8, ˆ‘x2 = 3350.98, ˆ‘y = 246, ˆ‘y2 = 10,030, and ˆ‘xy = 5488.4. Compute r. As x increases, does the value of r imply that y should tend to increase or decrease? Explain.

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