Question

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 |

Female (1 if female, 0 if male) | 5443.681615 | 1378.670516 | 3.948501 | 0.001037 |

Selecting a radio button will replace the entered answer value(s) with the radio button value. If the radio button is not selected, the entered answer is used. or is there not enough evidence?

Answer #1

Since the p-value for the Variable Female is less than 0.05, hence this variable is significant.

Hence,

Regression equation is:

Salary = 24331.924717 + 4578.868673 * Education + 5443.681615 * Female

For Males, value of the variable Female = 0 and for Females, value of the variable Female = 1.

Hence, Keeping all the other conditions constant, Salary is dependent on the value of the variable Female. So, there is a salary difference between men and women.

Salary Difference = 5443.681615 (1-0) = 5443.681615

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...

Suppose the following table was generated from the sample data
of 2020 teachers relating annual salary to months of teaching
experience and gender.
Coefficients
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
Step 1 of 2: In this regression equation, what is the intercept
value for men? Enter your answer in the space provided. Do not
round your answer.
Step...

Suppose the following table was generated from the sample data
of 20 campuses relating the total number of crimes committed to the
number of police officers on campus and if the college or
university is private.
Coefficients
Standard Error
t-stat
P-Value
Intercept
559.505805
19.468953
28.738361
0.000000
# of officers
-6.845383
0.631437
-10.840960
0.000000
Private (1 if private, 0 otherwise)
-55.712802
8.049521
-6.921257
0.000002
Step 1 of 2: In this regression equation, what is the intercept
value for colleges or universities...

Suppose the following table was generated from the sample data
of 20 20 campuses relating the total number of crimes committed to
the number of police officers on campus and if the college or
university is public. Coefficients Standard Error t Stat P-Value
Intercept 565.130664 565.130664 18.192314 18.192314 31.064254
31.064254 0.000000 0.000000 Number of Officers −7.434598 −7.434598
0.565905 0.565905 −13.137537 −13.137537 0.000000 0.000000 Public (1
if public, 0 otherwise) −42.284220 −42.284220 6.212333 6.212333
−6.806496 −6.806496 0.000003 0.000003
Step 1 of...

Suppose the following data were collected relating CEO salary to
years of experience and gender. Use statistical software to find
the regression equation. Is there enough evidence to support the
claim that on average female CEOs have higher salaries than male
CEOs at the 0.050.05 level of significance? If yes, type the
regression equation in the spaces provided with answers rounded to
two decimal places. Else, select "There is not enough
evidence."
Salary
Experience
Female (1 if female, 0 if...

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...

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 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...

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?

Consider the following computer output of a multiple regression
analysis relating annual salary to years of education and years of
work experience.
Regression Statistics
Multiple R
0.7345
R Square
0.5395
Adjusted R Square
0.5195
Standard Error
2134.9715
Observations
49
ANOVA
df
SS
MS
F
Significance F
Regression
2
245,644,973.9500
122,822,486.9750
26.9460
1.8E-08
Residual
46
209,672,760.0092
4,558,103.4785
Total
48
455,317,733.9592
Coefficients
Standard Error
t Stat
P-value
Lower 95%
Upper 95%
Intercept
14271.51879
2,525.5672
5.6508
0.000000963
9187.8157
19,355.2219
Education (Years)
2351.3035...

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