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 variablethat represents student enrollment (in thousands) on a universitycampus, and let y be a variable that represents the number ofburglaries in a year on the university campus. A random sample of n= 8 universities in California gave the following information aboutenrollments and annual burglary incidents. x 12.9 30.4 24.5 14.37.5 27.7 16.2 20.1 y 27 71 39 23 15 30 15 25
(a) Make a scatter diagram of the data. Then visualize the lineyou think best fits the data. (Submit a file with a maximum size of1 MB.) This answer has not been graded yet.
(b) Use a calculator to verify that ?(x) = 153.6, ?(x2) =3385.30, ?(y) = 245, ?(y2) = 9795 and ?(x y) = 5480.1. Compute r.(Enter a number. Round to 3 decimal places.) As x increases, doesthe value of r imply that y should tend to increase or decrease?Explain your answer. Given our value of r, y should tend to remainconstant as x increases. Given our value of r, y should tend todecrease as x increases. Given our value of r, we can not draw anyconclusions for the behavior of y as x increases. Given our valueof r, y should tend to increase as x increases.