Reference no: EM1317389
Make a scatter diagram and compute the correlation for the given data.
Do larger universities tend to have more property crime? University crime statistics are affected by variety of factors. The surrounding community, accessibility given to outside visitors, and many other factors influence crime rate. Let x variable that represents student enrollment (in thousands) on a university campus. Let y be a variable 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 (Reference: Crime in the United States, Federal Bureau of investigation.)
X 12.5 30.0 24.5 14.3 7.5 27.7 16.2 20.1
Y 26 73 39 23 15 30 15 25
(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 x = 152.8, x2nd = 3350.98, y = 246, y2nd = 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