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 5.7 5.3 4.3 5.2 6.2 6.5 11.1 y −1.8 −4.3 −8.0 −4.0 3.6 −0.1 −4.4 Complete parts (a) through (e), given Σx = 44.3, Σy = −19, Σx2 = 310.01, Σy2 = 134.06, Σxy = −115.42, and r ≈ 0.098. (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.) r2 =   explained     % unexplained     %

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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.

x 5.7 5.3 4.3 5.2 6.2 6.5 11.1
y
−1.8
−4.3
−8.0
−4.0
3.6
−0.1
−4.4

Complete parts (a) through (e), given Σx = 44.3,

Σy = −19,

Σx2 = 310.01, Σy2 = 134.06,

Σxy = −115.42,

and r ≈ 0.098.

(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.)

r2 =  
explained     %
unexplained     %
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