A Make a claim about the fit of the model for Model #1. B Make a claim about the significance, degree, and form of the Literacy Rate variable as shown in the table for Model #1.   C Write a paragraph to compare Model #1 vs. Model #2 and discuss the effect of the control variable (democracy or not). Use as much of the information from the table above as appropriate. (Hint - don't just discuss control, discuss changes to the fit of model, changes in coefficients, etc.).   D Write out the equation of Model #2.   E.  For Model #2, estimate the government effectiveness score for a democratic country with a literacy rate of 68 and GDP per capital of $20,000. (Hint: Government effectiveness ranges from 0 to 100.)

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Chapter10: Statistics
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Given the regression model above, do each of the following:

  •  A Make a claim about the fit of the model for Model #1.
  • B Make a claim about the significance, degree, and form of the Literacy Rate variable as shown in the table for Model #1.
  •   C Write a paragraph to compare Model #1 vs. Model #2 and discuss the effect of the control variable (democracy or not). Use as much of the information from the table above as appropriate.
    (Hint - don't just discuss control, discuss changes to the fit of model, changes in coefficients, etc.).
  •   D Write out the equation of Model #2.
  •   E.  For Model #2, estimate the government effectiveness score for a democratic country with a literacy rate of 68 and GDP per capital of $20,000. (Hint: Government effectiveness ranges from 0 to 100.)
16. A researcher was trying to find important factors that influenced a government's effectiveness. The
researcher was interested in the simultaneous effect of literacy rate and GDP per capita (in 10K US
dollars) on government effectiveness. However, the researcher suspected that the regime type -
whether a country has a democratic regime - probably related to literacy rate, GDP or government
effectiveness, so decided to control for the effect of being a democracy.
The researcher used data from the 2012 World Dataset. The dependent variable, government
effectiveness, ranged from 0 to 100 where 100 means a fully effective government and 0 means a
completely ineffective government.
OLS Regression Models Estimating Government Effectiveness
Model 1
SE
0.061
1.226
Literacy Rate
GDP per capita in 10K $
Democracy (1=Dem, 0=Non-dem)
Intercept
Model Statistics
(Source: 2012 World Dataset)
B
0.187
17.397
19.948
4.74
F(2, 139) 155.645
R²
n
0.575
140
P
0.002
0.000
0.000
B
0.099
17.011
- 0.107
19.216
Given the regression model above, do each of the following:
Model 2
SE
0.062
1.244
0.024
4.739
0.000 F(3, 138) 105.674
R²
n
0.697
139
P
0.129
0.000
0.019
0.000
0.000
Transcribed Image Text:16. A researcher was trying to find important factors that influenced a government's effectiveness. The researcher was interested in the simultaneous effect of literacy rate and GDP per capita (in 10K US dollars) on government effectiveness. However, the researcher suspected that the regime type - whether a country has a democratic regime - probably related to literacy rate, GDP or government effectiveness, so decided to control for the effect of being a democracy. The researcher used data from the 2012 World Dataset. The dependent variable, government effectiveness, ranged from 0 to 100 where 100 means a fully effective government and 0 means a completely ineffective government. OLS Regression Models Estimating Government Effectiveness Model 1 SE 0.061 1.226 Literacy Rate GDP per capita in 10K $ Democracy (1=Dem, 0=Non-dem) Intercept Model Statistics (Source: 2012 World Dataset) B 0.187 17.397 19.948 4.74 F(2, 139) 155.645 R² n 0.575 140 P 0.002 0.000 0.000 B 0.099 17.011 - 0.107 19.216 Given the regression model above, do each of the following: Model 2 SE 0.062 1.244 0.024 4.739 0.000 F(3, 138) 105.674 R² n 0.697 139 P 0.129 0.000 0.019 0.000 0.000
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