Question

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, 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. x 11.1 29.8 24.5 14.3 7.5 27.7 16.2 20.1 y 22 72 39 23 15 30 15 25 (a) Make a scatter diagram of the data. Then visualize the line you think best fits the data. (b) Use a calculator to verify that Σ(x) = 151.2, Σ(x2) = 3305.98, Σ(y) = 241, Σ(y2) = 9693 and Σ(x y) = 5363.2. Compute r. (Enter a number. Round to 3 decimal places.) As x increases, does the value of r imply that y should tend to increase or decrease? Explain your answer. Given our value of r, we can not draw any conclusions for the behavior of y as x increases. Given our value of r, y should tend to increase as x increases. Given our value of r, y should tend to decrease as x increases. Given our value of r, y should tend to remain constant as x increases.

Answer 1