11.11. Table 11.13 shows a printout from fitting the multiple regression model to recent statewide data, excluding D.C., on y = violent crime rate (per 100,000 people), xi = poverty rate (percentage with income below the poverty level), and X2 = percent living in urban areas.

B Std. Error

(Constant) -498.683 140.988 POVERTY 32.622 6.677 URBAN 9.112 1.321 t Sig

-3.537 0.0009 4.885 0.0001 6.900 0.0001 VIOLENT POVERTY URBAN VIOLENT 1.0000

.3688

.5940 Correlations POVERTY

.3688 1.0000

-.1556 URBAN

.5940

-.1556 1.0000

(a) Report the prediction equation.

(b) Massachusetts had y = 805, X| = 10.7, and X2 = 96.2. Find its predicted violent crime rate. Find the residual, and interpret.

(c) Interpret the fit by showing the prediction equation relating y and x\ for states with (i)

X2 = 0, (ii) X2 = 50, (iii) X2 = 100. Interpret.

(d) Interpret the correlation matrix.

(e) Report R 2

and the multiple correlation, and interpret.