You have collected a sub-sample from the Current Population Survey for the western region of the United States. Running a regression of average hourly earnings (ahe) on an intercept only, you get the following result: 1. (a). Interpret the result. = 0 = 18.58 (b). You decide to include a single explanatory variable without an intercept. The binary variable DFemme takes on a value of "1" for females but is "0" otherwise. The regression result changes as follows: = 1xDFemme = 16.50×DFemme What is the interpretation now? (c). You generate a new binary variable DMale by subtracting DFemme from 1, and run the new regression: = 2xDMale = 20.09xDMale What is the interpretation of the coefficient now? (d). After thinking about the above results, you recognize that you could have generated the last two results either by running a regression on both binary variables, or on an intercept and one of the binary

ENGR.ECONOMIC ANALYSIS
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Chapter1: Making Economics Decisions
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You have collected a sub-sample from the Current
Population Survey for the western region of the United States. Running
a regression of average hourly earnings (ahe) on an intercept only, you
get the following result:
1.
(a). Interpret the result.
= 0 = 18.58
(b). You decide to include a single explanatory variable without an
intercept. The binary variable DFemme takes on a value of "1" for
females but is "0" otherwise. The regression result changes as follows:
= 1xDFemme = 16.50×DFemme
What is the interpretation now?
(c). You generate a new binary variable DMale by subtracting DFemme
from 1, and run the new regression:
= 2xDMale = 20.09xDMale
What is the interpretation of the coefficient now?
(d). After thinking about the above results, you recognize that you could
have generated the last two results either by running a regression on
both binary variables, or on an intercept and one of the binary
variables. What would the results have been?
Transcribed Image Text:You have collected a sub-sample from the Current Population Survey for the western region of the United States. Running a regression of average hourly earnings (ahe) on an intercept only, you get the following result: 1. (a). Interpret the result. = 0 = 18.58 (b). You decide to include a single explanatory variable without an intercept. The binary variable DFemme takes on a value of "1" for females but is "0" otherwise. The regression result changes as follows: = 1xDFemme = 16.50×DFemme What is the interpretation now? (c). You generate a new binary variable DMale by subtracting DFemme from 1, and run the new regression: = 2xDMale = 20.09xDMale What is the interpretation of the coefficient now? (d). After thinking about the above results, you recognize that you could have generated the last two results either by running a regression on both binary variables, or on an intercept and one of the binary variables. What would the results have been?
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