Understanding Basic Statistics 6th Edition by Charles Henry Brase,Corrinne Pellillo Brase

Exercise 32

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, and 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 (References: 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) Use a calculator to verify that x = 152.8, x 2 = 3350.98, y = 246, y 2 = 10,030, and xy = 5488.4. Computer r. As x increases, does the value of r imply that y should tend to increase or decrease Explain.