Does prison really deter violent crime? Let x represent percent change in the rate of violent crime and y represent percent change in the rate of imprisonment in the general U.S. population. For 7 recent years, the following data have been obtained.

x	5.9	5.9	3.8	5.2	6.2	6.5	11.1
y	1.7	3.8	7.0	4.0	3.6	0.1	4.4

Complete parts (a) through (e), given x = 44.6,

y = 17.4,

x² = 315, y² = 114.66,

xy = 107.02,

and r 0.082.

(a) Draw a scatter diagram displaying the data.

(b) Verify the given sums x, y, x², y², xy, and the value of the sample correlation coefficient r. (Round your value for r to three decimal places.)

(c) Findx, andy. Then find the equation of the least-squares line=a+bx. (Round your answers forxandyto two decimal places. Round your answers foraandbto three decimal places.)

(d) Graph the least-squares line. Be sure to plot the point (x, y) as a point on the line.

(e) Find the value of the coefficient of determination r². What percentage of the variation in y can be explained by the corresponding variation in x and the least-squares line? What percentage is unexplained? (Round your answer for r² to three decimal places. Round your answers for the percentages to one decimal place.)

f) Considering the values of r and r², does it make sense to use the least-squares line for prediction? Explain your answer.