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: = 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: = 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: = 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?

Question

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:  =  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:  =  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:  =  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?

Quizplus · Accepted Answer

The Answer of 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:  =  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:  =  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:  =  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?

You Have Collected a Sub-Sample from the Current Population Survey