Question: Using the Afrobarometer Dataset a multiple regression analysis was performed with the outputs below. Based on these results a) What is the possible research question?

Using the Afrobarometer Dataset a multiple regression analysis was performed with the outputs below. Based on these results

a) What is the possible research question?

b) What is the null hypothesis for the question?

c) What research design would align with this question?

d) What dependent variable was used and how is it measured?

e) What independent variables are used and how are they measured? What is the justification for including these predictor variables?

f) If you found significance, what is the strength of the effect?

g) Explain your results for a lay audience, and explain what the answer to your research question.

Descriptive Statistics
Mean Std. Deviation N
Trust in Government Index (higher scores=more trust) 8.0244 4.20829 9482
Q1. Age 36.88 14.231 9482
Q101. Gender of respondent 1.49 .500 9482
Education Category 1.46 .957 9482
Employment Status .3342 .47174 9482
Lived Poverty Index (average index of 5 poverty items) 1.237 .9486 9482

Correlations
Trust in Government Index (higher scores=more trust) Q1. Age Q101. Gender of respondent Education Category Employment Status Lived Poverty Index (average index of 5 poverty items)
Pearson Correlation Trust in Government Index (higher scores=more trust) 1.000 .081 -.015 -.174 -.073 -.022
Q1. Age .081 1.000 -.111 -.265 -.004 .042
Q101. Gender of respondent -.015 -.111 1.000 -.104 -.127 .001
Education Category -.174 -.265 -.104 1.000 .260 -.231
Employment Status -.073 -.004 -.127 .260 1.000 -.192
Lived Poverty Index (average index of 5 poverty items) -.022 .042 .001 -.231 -.192 1.000
Sig. (1-tailed) Trust in Government Index (higher scores=more trust) . <.001 .071 <.001 <.001 .016
Q1. Age .000 . .000 .000 .333 .000
Q101. Gender of respondent .071 .000 . .000 .000 .478
Education Category .000 .000 .000 . .000 .000
Employment Status .000 .333 .000 .000 . .000
Lived Poverty Index (average index of 5 poverty items) .016 .000 .478 .000 .000 .
N Trust in Government Index (higher scores=more trust) 9482 9482 9482 9482 9482 9482
Q1. Age 9482 9482 9482 9482 9482 9482
Q101. Gender of respondent 9482 9482 9482 9482 9482 9482
Education Category 9482 9482 9482 9482 9482 9482
Employment Status 9482 9482 9482 9482 9482 9482
Lived Poverty Index (average index of 5 poverty items) 9482 9482 9482 9482 9482 9482

Model Summaryb
Model R R Square Adjusted R Square Std. Error of the Estimate Change Statistics PRESS
R Square Change F Change df1 df2 Sig. F Change
1 .196a .038 .038 4.12777 .038 75.693 5 9476 <.001 161664.856
a. Predictors: (Constant), Lived Poverty Index (average index of 5 poverty items), Q101. Gender of respondent, Q1. Age, Employment Status, Education Category
b. Dependent Variable: Trust in Government Index (higher scores=more trust)

ANOVAa
Model Sum of Squares df Mean Square F Sig.
1 Regression 6448.498 5 1289.700 75.693 <.001b
Residual 161456.874 9476 17.039
Total 167905.372 9481
a. Dependent Variable: Trust in Government Index (higher scores=more trust)
b. Predictors: (Constant), Lived Poverty Index (average index of 5 poverty items), Q101. Gender of respondent, Q1. Age, Employment Status, Education Category

Coefficientsa
Model Unstandardized Coefficients Standardized Coefficients t Sig. 95.0% Confidence Interval for B Collinearity Statistics
B Std. Error Beta Lower Bound Upper Bound Tolerance VIF
1 (Constant) 9.749 .233 41.754 <.001 9.291 10.206
Q1. Age .010 .003 .034 3.171 .002 .004 .016 .907 1.102
Q101. Gender of respondent -.297 .087 -.035 -3.426 <.001 -.467 -.127 .958 1.044
Education Category -.763 .049 -.174 -15.613 <.001 -.859 -.667 .821 1.217
Employment Status -.411 .095 -.046 -4.346 <.001 -.597 -.226 .901 1.110
Lived Poverty Index (average index of 5 poverty items) -.321 .046 -.072 -6.914 <.001 -.412 -.230 .926 1.079
a. Dependent Variable: Trust in Government Index (higher scores=more trust)

Collinearity Diagnosticsa
Model Dimension Eigenvalue Condition Index Variance Proportions
(Constant) Q1. Age Q101. Gender of respondent Education Category Employment Status Lived Poverty Index (average index of 5 poverty items)
1 1 4.583 1.000 .00 .00 .00 .01 .01 .01
2 .706 2.548 .00 .00 .00 .02 .60 .10
3 .336 3.694 .00 .00 .01 .31 .35 .36
4 .231 4.458 .00 .15 .03 .33 .00 .44
5 .121 6.165 .00 .40 .44 .08 .03 .00
6 .025 13.637 .99 .45 .52 .26 .01 .09
a. Dependent Variable: Trust in Government Index (higher scores=more trust)

Residuals Statisticsa
Minimum Maximum Mean Std. Deviation N
Predicted Value 5.5758 10.4233 8.0244 .82471 9482
Residual -9.94770 8.82649 .00000 4.12668 9482
Std. Predicted Value -2.969 2.909 .000 1.000 9482
Std. Residual -2.410 2.138 .000 1.000 9482
a. Dependent Variable: Trust in Government Index (higher scores=more trust)

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