10. Recidivism Recidivism refers to the return to prison of a prisoner who has been released or paroled. The data that follow reports the group median age at which a prisoner was released from a federal prison and the percentage of those arrested for another crime.7 Use the MS Excel printout to answer the questions that follow

a. Find the least-squares line relating the percentage arrested to the group median age.

b. Do the data provide sufficient evidence to indicate that x and y are linearly related? Test using the t statistic at the 5% level of significance.

c. Construct a 95% confidence interval for the slope of the line.

d. Find the coefficient of determination and interpret its significance.

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Group Median Age (x) 22 27 32 37 42 47 52 % Arrested (y) SUMMARY OUTPUT 64.7 59.3 52.9 48.6 44.5 37.7 23.5 Regression Statistics Multiple R 0.9779 R Square 0.9564 Adjusted R Square 0.9477 Standard Error 3.1622 Observations 7.0000 ANOVA Significance cf SS MS F F Regression 1 Residual 5 1096.251 1096.251 109.631 49.997 0.000 9.999 Total 6 1146.249