Question

Suppose the following regression equation was generated from sample data relating annual salary to experience, gender, and marital status. Gender is represented by a dummy variable, FEMALEi where FEMALEi=1 if employee i is female and FEMALEi=0 if employee i is male. Marital status is represented by a dummy variable MARRIEDi where MARRIEDi=1 if employee i is married and MARRIEDi=0 if employee i is single. SALARYi=45399.358869+522.095299EXPERIENCEi−2445.498353FEMALEi−42.875876EXPERIENCEi⋅FEMALEi+10156.223595MARRIEDi−98.638952EXPERIENCEi⋅MARRIEDi−14314.347804FEMALEi⋅MARRIEDi+ei

1)According to the regression equation above, what is the estimated change in salary resulting from one additional year of experience for married women? Round your answer to two decimal places.

Answer #1

For married women,

The estimated regression equation is

SALARYi=45399.358869+522.095299*EXPERIENCEi−2445.498353*1−42.875876EXPERIENCEi*1+10156.223595*1−98.638952EXPERIENCEi*1−14314.347804*1*1+ei

or, SALARYi = (45399.358869 - 2445.498353 +
10156.223595 - 14314.347804) + (522.095299 - 42.875876 -
98.638952)*EXPERIENCEi + e_{i}

or, SALARYi = 38795.736307 + 380.580471*EXPERIENCEi +
e_{i}

1) The estimated change in salary resulting from one additional year of experience for married women = 380.580471

Suppose the following regression equation was generated from
sample data relating annual salary to experience, gender, and
marital status. Gender is represented by a dummy variable,
FEMALEiFEMALEi, where FEMALEi=1FEMALEi=1 if employee i is female
and FEMALEi=0FEMALEi=0 if employee i is male. Marital status is
represented by a dummy variable MARRIEDiMARRIEDi where
MARRIEDi=1MARRIEDi=1 if employee i is married and
MARRIEDi=0MARRIEDi=0 if employee i is single.
SALARYi=46905.309796+429.685020EXPERIENCEi−2445.945436FEMALEi−35.464377EXPERIENCEi⋅FEMALEi+10084.736168MARRIEDi−60.572088EXPERIENCEi⋅MARRIEDi−14238.984644FEMALEi⋅MARRIEDi+eiSALARYi=46905.309796+429.685020EXPERIENCEi−2445.945436FEMALEi−35.464377EXPERIENCEi⋅FEMALEiSALARYi=+10084.736168MARRIEDi−60.572088EXPERIENCEi⋅MARRIEDi−14238.984644FEMALEi⋅MARRIEDi+ei
According to the regression equation above, what is the
estimated starting salary for married women?...

Suppose the following regression equation was generated from
sample data relating salary to years of experience, marital status,
and the interaction term of years of experience and marital status.
Marital status is a dummy variable where MARRIEDi=1MARRIEDi=1 if
employee i is married and MARRIEDi=0MARRIEDi=0 if employee i is
single.
SALARYi=58316.795901+790.675473EXPERIENCEi+1222.075701MARRIEDi−36.766201EXPERIENCEiMARRIEDi+ei
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Suppose the following table was generated from the sample data
of 2020 teachers relating annual salary to months of teaching
experience and gender.
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Standard Error
t Stat
P-Value
Intercept
39456.64693339456.646933
244.443412244.443412
161.414237161.414237
0.0000000.000000
Months of Experience
61.40231861.402318
8.6513608.651360
7.0974187.097418
0.0000020.000002
Female (1 if female, 0 if male)
874.703963874.703963
250.099136250.099136
3.4974293.497429
0.0027590.002759
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Step...

Suppose the following table was generated from the sample data
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Standard Error
t Stat
P-Value
Intercept
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1986.259992
−8.010248
0.000000
Education
4129.465091
114.058730
36.204726
0.000000...

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CEOs at the 0.050.05 level of significance? If yes, type the
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two decimal places. Else, select "There is not enough
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Salary
Experience
Female (1 if female, 0 if...

Suppose the following table was generated from the sample data
of 20 employees relating annual salary to years of education and
gender. According to the results, is there a salary difference
between men and women at the 0.05 level of significance? If yes,
write the difference in salary in the space provided, rounded to
two decimal places. Else, select "There is not enough
evidence."
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Standard Error
t Stat
P-Value
Intercept
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3419.740424
?7.115138
0.000002
Education
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214.295364
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Marital Status
Single Married
25 125 30 50 50 20
Divorced
Suppose that a customer is selected at random. Find the
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b)
not single.
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iii. female or divorced.
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