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You Have Collected a Sub-Sample from the Current Population Survey  ahe ^\widehat{\text { ahe }}

question 47

Essay

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:  ahe ^\widehat{\text { ahe }} = β^\widehat{\beta} 0 = 18.58
a. Interpret the result.
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:  ahe^\widehat{\text { ahe} } = β^\widehat{\beta} 1×DFemme = 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:  ahe ^\widehat{\text { ahe }} = β^\widehat{\beta} 2×DMale = 20.09×DMale
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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Definitions:

Adaptation

The process of adjusting or changing to fit new conditions or environments.

Knowledge

Information, understanding, and skills that individuals acquire through experience or education; the theoretical or practical understanding of a subject.

Abilities

The skills and competences a person possesses that enable them to perform specific tasks successfully.

Skills

The ability to perform tasks effectively and efficiently, often developed through experience, training, or education.

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