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.
-
Report the prediction equation
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Massachusetts had y- 805, x1 = 10.7 and x2 = 96.2. find its predicted violent crime rate. Find the residual, and interpret
-
Interpret the fit by showing the prediction equation relating ŷ 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
|
|
|
Violent
|
Poverty
|
Urban
|
|
Violent
|
1
|
.3688
|
.5940
|
|
Poverty
|
.3688
|
1
|
-.1556
|
|
Urban
|
.5940
|
-.1556
|
1
|
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Solution: The downloadable solution consists of 2 pages
Deliverable: Word Document
