Q2: The effect of ideology on political party affiliation in the United States is studied by a national survey in 2016. Ideology is labeled as 1= Extremely liberal, 2= Liberal, 3= Slightly liberal, 4= Moderate, 5= Slightly conservative, 6= Conservative, 7= Extremely conservative) and Political affiliation is labeled by 1= Democrat, 0= Republican. A binary logistic regression model was fit and the following R output was obtained:
Q2: The effect of ideology on political party affiliation in the United States is studied by a national survey in 2016. Ideology is labeled as 1= Extremely liberal, 2= Liberal, 3= Slightly liberal, 4= Moderate, 5= Slightly conservative, 6= Conservative, 7= Extremely conservative) and Political affiliation is labeled by 1= Democrat, 0= Republican. A binary logistic regression model was fit and the following R output was obtained:
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Solve ,a,b,c,d
Transcribed Image Text:Q2: The effect of ideology on political party affiliation in the
United States is studied by a national survey in 2016. Ideology is
labeled as 1= Extremely liberal, 2= Liberal, 3= Slightly liberal, 4=
Moderate, 5= Slightly conservative, 6= Conservative, 7=
Extremely conservative) and Political affiliation is labeled by 1=
Democrat, 0= Republican. A binary logistic regression model was
fit and the following R output was obtained:
Estimate Std. Error z value
Pr( > z)
(Intercept)
3.1870
0.7002
4.552
5.33x106
-0.5901 0.1564
-3.772
0.000162
Null Deviance = 24.7983
Residual Deviance= 7.7894
a. Report the prediction equation.
b. Estimate the probability that an extremely liberal person is a
democrat.
c. Estimate the probability that an extremely conservative person is
a democrat.
d. Construct a 95% Wald confidence interval for the effect of
ideology.
e. Interpret your interval.
f. Conduct a Wald test for the effect of ideology. Report the test
Statistic and the P-value.
g. Conduct a likelihood-ratio test for the effect of ideology. Report
the test Statistic and compare the P-value with that of Wald's
test.
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