what is the prediction equation for the median income and in

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

Solution

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