1. Run a regression of voteA (the percentage of votes received by candidate A) a
ID: 3206935 • Letter: 1
Question
1. Run a regression of voteA (the percentage of votes received by candidate A) against lexpendA, lexpendB, prtystrA, democA. By how many standard deviations would candidate A’s vote share increase if their log campaign expenditures increased by one standard deviation?
I ran the regression which I show below. Please show work to show me how to answer the second part of the question.
. regress voteA lexpendA lexpendB prtystrA democA
. regress voteA lexpendA lexpendB prtystrA democA
Source | SS df MS Number of obs = 173
-------------+---------------------------------- F(4, 168) = 169.23
Model | 38822.1774 4 9705.54436 Prob > F = 0.0000
Residual | 9635.07113 168 57.3516139 R-squared = 0.8012
-------------+---------------------------------- Adj R-squared = 0.7964
Total | 48457.2486 172 281.728189 Root MSE = 7.5731
------------------------------------------------------------------------------
voteA | Coef. Std. Err. t P>|t| [95% Conf. Interval]
-------------+----------------------------------------------------------------
lexpendA | 5.779294 .3918197 14.75 0.000 5.00577 6.552819
lexpendB | -6.237836 .3974596 -15.69 0.000 -7.022495 -5.453178
prtystrA | .2519176 .0712925 3.53 0.001 .1111729 .3926623
democA | 3.792943 1.40652 2.70 0.008 1.016213 6.569674
_cons | 37.66142 4.736036 7.95 0.000 28.3116 47.01123
------------------------------------------------------------------------------
Explanation / Answer
voteA | Coef. Std. Err. t P>|t| [95% Conf. Interval]
-------------+----------------------------------------------------------------
lexpendA | 5.779294 .3918197 14.75 0.000 5.00577 6.552819
lexpendB | -6.237836 .3974596 -15.69 0.000 -7.022495 -5.453178
prtystrA | .2519176 .0712925 3.53 0.001 .1111729 .3926623
democA | 3.792943 1.40652 2.70 0.008 1.016213 6.569674
_cons | 37.66142 4.736036 7.95 0.000 28.3116 47.01123
For candidate A the std error is 0.3918197 is the standard deviation error of the the coefficient , which means that there will be change of 0.3918197 SD if the log campaign expenditures increased by one standard deviation
Without the actual data , it is really difficult to show you the workings and the question becomes merely the interpretation of the results
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.