The data below was collected for 12 randomly chosen campuses.

Total Enrollment, X

(in thousands)

4.3 17.4 37.2 27.7 4.0 1.1 26.5 2.8 13.0 2.9 1.7 4.3

Number of Campus Police, Y

48 45 84 69 45 12 52 26 21 36 22 50

a) Find the least-square regression line (LSRL). Round all values to 3 decimal places.

b) State the slope of the LSRL and interpret its meaning.

c) Use the LSRL to predict the number Campus Police at Chabot College if it has a total enrollment of 13.1 thousand students. Round to the nearest whole number.

d) Find the residual for Chabot College if they have 15 officers employed by Chabot's Campus Safety Team.

e) From this sample of 12 colleges, what is the probability of randomly choosing a college that has a total enrollment that is less than 10 thousand AND has less than 60 Campus Police? Round to four decimal places.