Do larger universities tend to have more property crime? university crime statistics are affected by a variety of factors such as surrounding community, accessibility given to outside visitors, etc. let x represent student enrollment ( in thousands) and let y represent the number of burglaries in a year on the university campus. a random sample of n = 8 universities in california yielded the following data regarding the enrollments and annual burglary incidents. x 12.1 31.0 24.5 14.3 7.5 27.7 16.2 20.1
y 28 68 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 ? x = 153.4, ? x2 = 3402.14, ? y = 243, ? y2 = 9433 and ? xy = 5420.2.

compute r. (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, y should tend to remain constant as x increases. given our value of r, y should tend to increase as x increases. 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 decrease as x increases.