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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. 6.5 5.9 3.7 5.2 6.2 6.5 11.1 1.8 3.9 6.2 4.0 3.6 D.1 4.4 IE USE SAL Complete parts (a) through (e), given Ex = 45.1, 2y = 716.3, 2x2 = 321.69, 21/2 = 105.22, ny = 7105.62, and (24 0.0583. (a) Draw a scatter diagram displaying die data. 1' Graph Livers I Li M I CiearAJl U W Lrhlukln No Solution \"' .I. .4 J. l, \"Will\". Graphing Tool (b) Verify the given sums Ex, 52y, 2x2, Eyl, Zx'y, and the value of the sample correlation coefcient r. (Round your value for r to four decimal places.) Ex = : Er = S if = E :y2 = E 2w : E Find ;, and 1;. Then nd the equation of the leastsquares line? = a + bx. (Round your answer to four decimal places.) (c (d) Graph the leastisquares line. Be sure to plot the point (3:, F) as a point on the line. Y Y 10 ll] l x . . . i i . i i x O 2 4 6 8 10 12 14 O 2 4 6 B 10 12 14 (e) Find the value of the coefcient of determination 12. What percentage of the variation in y can be expiamed by the corresponding variation in x and the leastisquares line? What percentage is unexplained? (Round your answer for r2 to four decimal places. Round your answers for the percentages to two decimal place.) .2 =|:| unexplained |:| % (f) Considering the values of r and r2, does it make sense to use the leastsquares line For prediction? Explain your answer. 0 The correlation between the variables is so low that it does not make sense to use the leastsquares line for prediction. 0 The correlation between the variables is so high that it makes sense to use the leastsquares line for prediction. 0 The correlation between the variables is so high that it does not make sense to use the leastsquares line for prediction. 0 The correlation between the variables is so low that it makes sense to use the leastisquares line for prediction