Question
In: Statistics and Probability
Your HR Director presents you the following data on your employees from a regression output Dependent...
Your HR Director presents you the following data on your employees from a regression output
Dependent variable: Wage and Salary Income (INCWS)
Independent variable: a disability affecting work indicator
--------------------------------------------------------------------------------------------------
INCWS | Coefficient Std. Err. t P>|t| Beta
-------------+------------------------------------------------------------------------------------
Work Disability | -9303.723 4475.500 -2.079 0.038 -0.070
constant | 37931.813 1416.073 26.787 0.000
--------------------------------------------------------------------------------------------------
-
Write the regression equation for the above output.
-
What information does the constant give you?
-
What information does the slope of the coefficient give you?
-
Write the null and alternative hypotheses to test whether or not disabled people earn less than non-disabled people.
-
At the 5% significance level, do disabled people earn less than non-disabled people?
-
At the 1% significance level, do disabled people earn less than non-disabled people?
Solutions
orchestra answered 1 year agoRelated Solutions
The following output was obtained from a regression analysis of the dependent variable Rating and an...
The following output was obtained from a regression analysis of
the dependent variable Rating and an independent variable Price.
(10 points)
ANOVA
df
SS
MS
F
Regression
1
372.707
372.707
42.927
Residual
15
130.234
8.682
Total
16
502.941
Coefficients
Standard Error
t Stat
P-value
Intercept
45.623
3.630
12.569
0.000
Price
0.107
0.016
6.552
0.000
Use the critical value approach to perform an F test for the
significance of the linear relationship between Rating and Price at
the 0.05 level of...
The following regression output was obtained from a study of architectural firms. The dependent variable is...
The following regression output was obtained from a study of
architectural firms. The dependent variable is the total amount of
fees in millions of dollars.
Predictor
Coefficient
SE Coefficient
t
p-value
Constant
7.617
2.998
2.541
0.010
x1
0.224
0.069
3.246
0.000
x2
?
1.144
0.559
?
2.047
0.028
x3
?
0.071
0.120
?
0.592
0.114
x4
0.675
0.354
1.907
0.001
x5
?
0.057
0.025
?
2.280
0.112
Analysis of
Variance
Source
DF
SS
MS
F
p-value
Regression
5
2,113.40
422.7...
The following regression output was obtained from a study of architectural firms. The dependent variable is...
The following regression output was obtained from a study of
architectural firms. The dependent variable is the total amount of
fees in millions of dollars.
Predictor
Coefficient
SE Coefficient
t
p-value
Constant
7.617
2.998
2.541
0.010
x1
0.224
0.069
3.246
0.000
x2
?
1.144
0.559
?
2.047
0.028
x3
?
0.071
0.120
?
0.592
0.114
x4
0.675
0.354
1.907
0.001
x5
?
0.057
0.025
?
2.280
0.112
Analysis of
Variance
Source
DF
SS
MS
F
p-value
Regression
5
2,113.40
422.7...
The following regression output was obtained from a study of architectural firms. The dependent variable is...
The following regression output was obtained from a study of
architectural firms. The dependent variable is the total amount of
fees in millions of dollars.
Predictor
Coefficient
SE Coefficient
t
p-value
Constant
7.131
3.085
2.312
0.010
x1
0.203
0.170
1.194
0.000
x2
−
1.176
0.553
−
2.127
0.028
x3
−
0.089
0.311
−
0.286
0.114
x4
0.682
0.381
1.790
0.001
x5
−
0.030
0.025
−
1.200
0.112
Analysis of Variance
Source
DF
SS
MS
F
p-value
Regression
5
1,946.79
389.4...
The following regression output was obtained from a study of architectural firms. The dependent variable is...
The following regression output was obtained from a study of
architectural firms. The dependent variable is the total amount of
fees in millions of dollars.
Predictor
Coefficient
SE
T
P-vaule
Constant
7.096
3.245
2.187
0.010
x1
0.222
0.117
1.897
0.000
x2
-1.024
0.562
-1.822
0.028
x3
-0.337
0.192
-1.755
0.114
x4
0.623
0.263
2.369
0.001
x5
-0.056
0.029
-2.000
0.112
Analysis of Variance
Source
DF
SS
MS
F
P-Value
Regression
5
2009.28
401.9
7.33
0.000
Residual Error
50
2741.54
54.83...
The following regression output was obtained from a study of architectural firms. The dependent variable is...
The following regression output was obtained from a study of
architectural firms. The dependent variable is the total amount of
fees in millions of dollars.
Predictor
Coefficient
SE Coefficient
t
p-value
Constant
7.166
3.075
2.330
0.010
x1
0.228
0.302
0.755
0.000
x2
−
1.184
0.586
−
2.020
0.028
x3
−
0.193
0.110
−
1.755
0.114
x4
0.572
0.293
1.952
0.001
x5
−
0.056
0.022
−
2.545
0.112
Analysis of Variance
Source
DF
SS
MS
F
p-value
Regression
5
1,847.24
369.4...
The following regression output was obtained from a study of architectural firms. The dependent variable is...
The following regression output was obtained from a study of
architectural firms. The dependent variable is the total amount of
fees in millions of dollars.
Predictor
Coefficient
SE Coefficient
t
p-value
Constant
7.166
3.075
2.330
0.010
x1
0.228
0.302
0.755
0.000
x2
−
1.184
0.586
−
2.020
0.028
x3
−
0.193
0.110
−
1.755
0.114
x4
0.572
0.293
1.952
0.001
x5
−
0.056
0.022
−
2.545
0.112
Analysis of Variance
Source
DF
SS
MS
F
p-value
Regression
5
1,847.24
369.4...
The following output was obtained from a regression analysis of the dependent variable Sales volume and...
The following output was obtained from a regression analysis of
the dependent variable Sales volume and an independent variable
“location distance from the downtown
branch.
ANOVA
df
SS
MS
F
Regression
2
552.137
267.069
24.235
Residual
10
110.22
11.02
Total
12
662.357
Coefficients
Standard Error
t Stat
P-value
Intercept
-38.623
3.630
12.569
0.000
Location distance
0.309
0.016
6.552
0.000
Calculate and interpret the correlation coefficient. What does
it tell us? (1.5 marks)
Calculate and interpret the coefficient of determination. (1.5...
The following regression output was obtained from a study of architectural firms. The dependent variable is...
The following regression output was obtained from a study of
architectural firms. The dependent variable is the total amount of
fees in millions of dollars.
Predictor
Coefficient
SE Coefficient
t
p-value
Constant
7.131
3.085
2.312
0.010
x1
0.203
0.170
1.194
0.000
x2
−
1.176
0.553
−
2.127
0.028
x3
−
0.089
0.311
−
0.286
0.114
x4
0.682
0.381
1.790
0.001
x5
−
0.030
0.025
−
1.200
0.112
Analysis of Variance
Source
DF
SS
MS
F
p-value
Regression
5
1,946.79
389.4...
The following regression output was obtained from a study of architectural firms. The dependent variable is...
The following regression output was obtained from a study of
architectural firms. The dependent variable is the total amount of
fees in millions of dollars.
Predictor
Coef
SE Coef
T
Constant
10.237
3.447
2.97
X1
0.392
-0.209
-1.88
X2
-0.392
-0.099
3.96
X3
0.207
-0.110
-1.88
X4
0.794
0.201
3.95
X5
-0.335
-0.126
2.66
Analysis of Variance
Source
DF
SS
MS
F
Regression
5
3710.00
742.00
15.14
Residual Error
48
2647.38
57.55
Total
53
6357.38
X1...
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