Question
The 2010 version of the General Social Survey asks the question: Do you favor or oppose the death penalty for persons convicted of murder? We
The 2010 version of the General Social Survey asks the question: Do you favor or oppose the death penalty for persons convicted of murder? We want to know what explains why people oppose the death penalty. The response favor is coded as a 1, and the response oppose is coded as a 2.
A logistic regression model was estimated. The SPSS output is below.
Model Summary | |||
Step | -2 Log likelihood | Cox & Snell R Square | Nagelkerke R Square |
1 | 1362.658a | .028 | .040 |
a. Estimation terminated at iteration number 4 because parameter estimates changed by less than .001. |
Variables in the Equation | |||||||
| B | S.E. | Wald | df | Sig. | Exp(B) | |
Step 1a | age | -.007 | .005 | 2.485 | 1 | .115 | .993 |
degree | .233 | .055 | 18.243 | 1 | .000 | 1.263 | |
sex | .307 | .134 | 5.261 | 1 | .022 | 1.359 | |
rincome | -.061 | .021 | 7.985 | 1 | .005 | .941 | |
Constant | -.826 | .356 | 5.370 | 1 | .020 | .438 | |
a. Variable(s) entered on step 1: age, degree, sex, rincome. |
Answer the following:
The -2 log likelihood value is statistically significant. What does this value tell us? (3 points)
The Nagelkerke R2 value is 0.040. Interpret the value. (3 points)
- Which variables are statistically significant at the 95% confidence level? (3 points)
- The variable degree is an ordinal variable measured in terms of increasing levels of education (less than high school, high school, junior college, bachelor, graduate). Interpret the regression coefficient for the variable degree by computing the odds ratio. (3 points)
- The variable sex is a dichotomous variable with males coded as a 1 and females coded as a 2.. Interpret the regression coefficient for the variable sex by computing the odds ratio. (3 points)
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