1. The table and scatterplot below show the relationship between student enrollment (in thousands) and total number of property crimes (burglary and theft) in one year for eight colleges and universities in a certain U.S. state.


(a) Interpret the slope of the least-squares regression line in the context of the problem.

(b) How many crimes would you predict on a campus with enrollment of 14 thousand students? Show your work.

(c) Find the residual for the campus with 14 thousand students and 138 property crimes. Show your work. Interpret the value of the residual in the context of the problem.

(d) Use the scatterplot to make a rough sketch of the residual plot for these data (No calculations are necessary). Draw sketch next to graph above.

(e) Would the slope of the regression line change if the point (26,601) were removed from the data set? If so, in what direction?

(f) The value of r^2 for these data is 0.801, and the value of s is 89.2. Interpret these values in the context of the problem.

(g) Is the given least-squares regression line a good model for these data? Support your answer with appropriate evidence from your answers above. ​