Question

Suppose the following table was generated from sample data of 2020 employees relating hourly wage to years of experience and whether or not they have a college degree. Using statistical software, create an indicator (dummy) variable for the variable "Degree" and find the regression equation. Is there enough evidence to support the claim that on average employees with a college degree have higher hourly wages than those without a college degree at the 0.050.05 level of significance? If yes, write the coefficient of the dummy variable in the space provided, rounded to two decimal places. Else, select "There is not enough evidence."

Wage Experience Degree

18.40 26 No

17.23 20 No

9.84 4 Yes

24.25 21 Yes

22.02 31 No

13.86 9 Yes

7.20 1 Yes

16.00 16 No

35.95 29 Yes

22.29 17 Yes

16.85 18 No

13.16 9 Yes

17.11 20 No

14.01 9 No

20.27 28 No

6.15 1 Yes

20.03 15 Yes

17.00 19 No

19.90 15 Yes

21.22 28 No

Answer #1

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
1) In this regression equation, what is the intercept value for
married employees?
2)In this regression equation, what is the value of the slope
for married employees?

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."
Coefficients
Standard Error
t Stat
P-Value
Intercept
?24331.924717
3419.740424
?7.115138
0.000002
Education
4578.868673
214.295364
21.367092
0.000000...

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."
Coefficients
Standard Error
t Stat
P-Value
Intercept
−15910.435186
1986.259992
−8.010248
0.000000
Education
4129.465091
114.058730
36.204726
0.000000...

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