what is the prediction equation for the median income and incarceration rate...a
ID: 3393972 • Letter: W
Question
what is the prediction equation for the median income and incarceration rate...and the prediction equation for the total crime and incarceration rate?
Incarceration Rate
Median
Violent Crime
Prop crime
Total crime
per 100,00 Adults
Income
Rate
Rate
Rate
2013
2010-2013
2012
2012
2012
State
Alabama
910
43330
449.9
3502.2
3952.1
Arkansas
1010
40877
469.1
3660.1
4129.2
Connecticut
620
67807
283
2140
2423
Florida
990
47106
487.1
3276.7
3763.8
Idaho
860
49952
207.9
1983.5
2191.4
Iowa
530
53364
263.9
2271.8
2535.7
Louisiana
1420
40844
496.9
3540.6
4037.5
Massachusetts
400
64555
405.5
2153
2558.5
Mississippi
950
40338
260.8
2811
3071.8
Nebraska
600
55107
259.4
2754.9
3014.3
New Jersey
540
65321
290.2
2047.3
2337.5
North Carolina
730
44254
353.4
3369.5
3722.9
Oklahoma
740
47282
469.3
3401
3870.3
Rhode Island
400
55158
252.4
2572.3
2824.7
Tennessee
960
42785
643.6
3371.4
4015
Vermont
410
56175
142.6
2398.7
2541.3
West Virginia
660
43361
316.3
2364.9
2681.2
Mean
748.82
50448.00
355.96
2801.11
3157.07
SD
273.52
9056.11
130.62
601.63
703.41
Incarceration Rate
Median
Violent Crime
Prop crime
Total crime
per 100,00 Adults
Income
Rate
Rate
Rate
2013
2010-2013
2012
2012
2012
State
Alabama
910
43330
449.9
3502.2
3952.1
Arkansas
1010
40877
469.1
3660.1
4129.2
Connecticut
620
67807
283
2140
2423
Florida
990
47106
487.1
3276.7
3763.8
Idaho
860
49952
207.9
1983.5
2191.4
Iowa
530
53364
263.9
2271.8
2535.7
Louisiana
1420
40844
496.9
3540.6
4037.5
Massachusetts
400
64555
405.5
2153
2558.5
Mississippi
950
40338
260.8
2811
3071.8
Nebraska
600
55107
259.4
2754.9
3014.3
New Jersey
540
65321
290.2
2047.3
2337.5
North Carolina
730
44254
353.4
3369.5
3722.9
Oklahoma
740
47282
469.3
3401
3870.3
Rhode Island
400
55158
252.4
2572.3
2824.7
Tennessee
960
42785
643.6
3371.4
4015
Vermont
410
56175
142.6
2398.7
2541.3
West Virginia
660
43361
316.3
2364.9
2681.2
Mean
748.82
50448.00
355.96
2801.11
3157.07
SD
273.52
9056.11
130.62
601.63
703.41
Explanation / Answer
what is the prediction equation for the median income and incarceration rate...and the prediction equation for the total crime and incarceration rate?
Regression Analysis
r²
0.536
n
17
r
-0.732
k
1
Std. Error
192.463
Dep. Var.
Incarceration Rate
ANOVA table
Source
SS
df
MS
F
p-value
Regression
641,346.1758
1
641,346.1758
17.31
.0008
Residual
555,630.2948
15
37,042.0197
Total
1,196,976.4706
16
Regression output
confidence interval
variables
coefficients
std. error
t (df=15)
p-value
95% lower
95% upper
Intercept
1,864.1151
272.0681
6.852
5.49E-06
1,284.2157
2,444.0145
Median income
-0.0221
0.0053
-4.161
.0008
-0.0334
-0.0108
Incarceration Rate =1,864.1151 - 0.0221*median income
Regression Analysis
r²
0.491
n
17
r
0.701
k
1
Std. Error
201.486
Dep. Var.
Incarceration Rate
ANOVA table
Source
SS
df
MS
F
p-value
Regression
588,028.9910
1
588,028.9910
14.48
.0017
Residual
608,947.4796
15
40,596.4986
Total
1,196,976.4706
16
Regression output
confidence interval
variables
coefficients
std. error
t (df=15)
p-value
95% lower
95% upper
Intercept
-111.6094
231.3010
-0.483
.6364
-604.6159
381.3970
Total crime
0.2725
0.0716
3.806
.0017
0.1199
0.4252
Incarceration Rate = -111.6094+0.2725* Total crime
Regression Analysis
r²
0.536
n
17
r
-0.732
k
1
Std. Error
192.463
Dep. Var.
Incarceration Rate
ANOVA table
Source
SS
df
MS
F
p-value
Regression
641,346.1758
1
641,346.1758
17.31
.0008
Residual
555,630.2948
15
37,042.0197
Total
1,196,976.4706
16
Regression output
confidence interval
variables
coefficients
std. error
t (df=15)
p-value
95% lower
95% upper
Intercept
1,864.1151
272.0681
6.852
5.49E-06
1,284.2157
2,444.0145
Median income
-0.0221
0.0053
-4.161
.0008
-0.0334
-0.0108
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