Solutions Statistics

Solution) Table 11.13 show a printout from fitting the multiple regression model to recent state wide data exc

Question: Table 11.13 show a printout from fitting the multiple regression model to recent state wide data excluding D.C., on y= violent crime rate (per 100,000 people). X1 + poverty rate (percent- age with income below the poverty level). And x2 = percent living in urban areas.

(a) Report the prediction equation

(b) Massachusetts had y- 805, x1 = 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 ? and x1 for state with (i) x2 = 0, (ii) x2 = 50, (iii) x2 = 100. Interpret.

Report R^2 and the multiple correlation, and interpret.

Table 11.13

	Sum of squares	DF	Mean Square	F	Sig
Regression	2448368.07	2	1224184.04	31.249	.0001
Residual	1841257.15	47	39175.68
Total	4289625.22	49

R		R Square			Std error of the estimate
.7555		.5708			197.928
	B		Std. Error	t		Sig.
(constant)	-498.683		140.988	-3.537		.0009
Poverty	32.622		6.677	4.885		.0001
Urban	9.112		1.321	6.9		.0001
correlations