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Question Description
QUESTION 1
The following table was derived from the 2008 standard Eurobarometer survey.
The dependent variable is the ten-point ideological scale, going left to right. The independent variables are age and, as a dummy variable, whether or not one’s country was formerly a Soviet-bloc nation. Interpret the slopes, r-square, and the t-test values. Also specify the regression equation. Was there a positive linear relationship between age and ideology, and how was that relationship influenced by country status? Which of the independent variables better explains differences in ideology?
RR-SquareAdjusted R-SquareStandard Error of the Estimate0.1340.0180.0142.170
Unstandardized Coefficients
Standardized Coefficients
b
Standard Error
B
t
Sig. (p value)
Constant
4.077
0.060
67.467
0.000
Age
0.006
0.001
0.054
7.951
0.000
Former Soviet
0.646
0.035
0.125
18.412
0.000
QUESTION 2
The following table was derived from the 2012 Cooperative Congressional Election Study. The dependent variable is the 100-point survey question that asks:
“If a state had a budget deficit, what percent should come from tax increases and spending cuts?”
0 = All tax increases
50 = Equal
100 = All cuts
The first independent variable is family income (while ordinal, the breadth of the variable allows us to treat it as an interval variable). The second is gender (dichotomous, 0=male 1=female). Only one state (Indiana) is chosen for this analysis. Interpret the slopes (both standardized and unstandardized), R-square, and the t-test values. Also specify (write out) the equation. Was there a positive linear relationship between family income and deficit reduction preference toward cuts, and how was it mediated by gender? Which of the independent variables better explains differences in reduction preference?
R
R-Square
Adjusted R-Square
Standard Error of the Estimate
0.107
0.011
0.009
25.885
Unstandardized Coefficients
Standardized Coefficients
b
Standard Error
B
t
Sig. (p-value)
Constant
65.333
3.790
17.240
0.000
Family Income
0.349
0.356
0.038
0.982
0.326
Gender
-5.146
1.991
-0.099
-2.585
0.010
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