Do states with political parties for republicans have a higher or lower incarceration rate? How can we tell with using Pearson’s R

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.2: Box-and-whisker Plots
Problem 2E
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Question
Do states with political parties for republicans have a higher or lower incarceration rate? How can we tell with using Pearson’s R?
/VARIABLES=incarceration povertyrate race politicalpartyrepublican crimerat
/ PRINT=TWOTAIL NOSIG
/MISSING=PAIRWISE.
Correlations
[DataSet0]
Correlations
politicalpartyr
epublican
incarceration
povertyrate
race
crimerate
incarceration
Pearson Corelation
603"
1.
-152
440
490
Sig. (2-tailed)
.000
290
001
000
N
50
50
50
50
50
povertyrate
Pearson Correlation
.603"
- 311"
1
139
444
Sig. (2-tailed)
.000
.028
337
.001
50
50
50
50
50
race
Pearson Correlation
-152
-311
1
394*
- 486*
Sig. (2-tailed)
290
028
.005
.000
N
50
50
50
politicalpartyrepublican
Pearson Correlation
50
50
440
139
394"
-030
Sig. (2-tailed)
001
337
05
836
50
50
50
crimerate
50
50
Pearson Correlation
490
444"
486
- 030
Sig. (2-tailed)
000
001
00
836
50
50
50
** Correlation is significant at the 0.01 level (2-tailed).
50
50
*. Correlation is significant at the 0.05 level (2-tailed).
REGRESSION
/MISSING LISTWISE
/STATISTICS COEFF OUTS R ANOVA
/CRITERIA=PIN (.05) POUT (. 10)
/NOORIGIN
/DEPENDENT incarceration
/METHOD=ENTER povertyrate race crimerate politicalpartyrepublican.
- Regression
Variables Entered/Removed"
ch
27
Transcribed Image Text:/VARIABLES=incarceration povertyrate race politicalpartyrepublican crimerat / PRINT=TWOTAIL NOSIG /MISSING=PAIRWISE. Correlations [DataSet0] Correlations politicalpartyr epublican incarceration povertyrate race crimerate incarceration Pearson Corelation 603" 1. -152 440 490 Sig. (2-tailed) .000 290 001 000 N 50 50 50 50 50 povertyrate Pearson Correlation .603" - 311" 1 139 444 Sig. (2-tailed) .000 .028 337 .001 50 50 50 50 50 race Pearson Correlation -152 -311 1 394* - 486* Sig. (2-tailed) 290 028 .005 .000 N 50 50 50 politicalpartyrepublican Pearson Correlation 50 50 440 139 394" -030 Sig. (2-tailed) 001 337 05 836 50 50 50 crimerate 50 50 Pearson Correlation 490 444" 486 - 030 Sig. (2-tailed) 000 001 00 836 50 50 50 ** Correlation is significant at the 0.01 level (2-tailed). 50 50 *. Correlation is significant at the 0.05 level (2-tailed). REGRESSION /MISSING LISTWISE /STATISTICS COEFF OUTS R ANOVA /CRITERIA=PIN (.05) POUT (. 10) /NOORIGIN /DEPENDENT incarceration /METHOD=ENTER povertyrate race crimerate politicalpartyrepublican. - Regression Variables Entered/Removed" ch 27
- Regression
Variables Entered/Removed
Variables
Variables
Entered
Model
Removed
Method
politicalpartyr
epublican,
crimerate,
povertyrate,
raceb
1
Enter
a. Dependent Variable: incarceration
b. All requested variables entered.
Model Summary
Adjusted R
Square
Std. Error of
the Estimate
Model
R Square
759
576
539
134.39297
a. Predictors: (Constant), politicalpartyrepublican, crimerate,
povertyrate, race
ANOVA
Sum of
Squares
Model
df
Mean Square
F
Sig.
Regression
1106091.869
4
276522.967
15.310
000b
Residual
812766.131
45
18061.470
Total
1918858.000
49
a. Dependent Variable: incarceration
b. Predictors: (Constant), politicalpartyrepublican, crimerate, povertyrate, race
Coefficients
Standardized
Unstandardized Coefficients
Coefficients
Model
Std. Error
Beta
Sig.
(Constant)
-253.584
156.001
-1.626
.111
povertyrate
19.998
5.671
397
3.526
.001
race
-.535
1.579
.043
339
736
crimerate
.468
.183
305
2.555
.014
politicalpartyrepublican
10.851
2,934
411
3.698
01
a. Dependent Variable: incarceration
ch
Transcribed Image Text:- Regression Variables Entered/Removed Variables Variables Entered Model Removed Method politicalpartyr epublican, crimerate, povertyrate, raceb 1 Enter a. Dependent Variable: incarceration b. All requested variables entered. Model Summary Adjusted R Square Std. Error of the Estimate Model R Square 759 576 539 134.39297 a. Predictors: (Constant), politicalpartyrepublican, crimerate, povertyrate, race ANOVA Sum of Squares Model df Mean Square F Sig. Regression 1106091.869 4 276522.967 15.310 000b Residual 812766.131 45 18061.470 Total 1918858.000 49 a. Dependent Variable: incarceration b. Predictors: (Constant), politicalpartyrepublican, crimerate, povertyrate, race Coefficients Standardized Unstandardized Coefficients Coefficients Model Std. Error Beta Sig. (Constant) -253.584 156.001 -1.626 .111 povertyrate 19.998 5.671 397 3.526 .001 race -.535 1.579 .043 339 736 crimerate .468 .183 305 2.555 .014 politicalpartyrepublican 10.851 2,934 411 3.698 01 a. Dependent Variable: incarceration ch
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