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 student enrollment ( in thousands) 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.

a.) Make a scatter diagram and draw the line you think bet fits the data.

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

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