Question
In: Math
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 |
P |
|
|
Constant |
7.987 |
2.967 |
2.69 |
- |
|
|
X1 |
0.12242 |
0.03121 |
3.92 |
0.0000 |
|
|
X2 |
-0.12166 |
0.05353 |
-2.27 |
0.028 |
|
|
X3 |
-0.06281 |
0.03901 |
-1.61 |
0.114 |
|
|
X4 |
0.5235 |
0.1420 |
3.69 |
0.001 |
|
|
X5 |
-0.06472 |
0.03999 |
-1.62 |
0.112 |
|
|
Analysis of Variance |
|||||
|
Source |
DF |
SS |
MS |
F |
P |
|
Regression |
5 |
3710.00 |
742.00 |
12.89 |
0.000 |
|
Residual Error |
46 |
2647.38 |
57.55 |
||
|
Total |
51 |
6357.38 |
|||
X1 - # of architects employed by the company
X2 - # of engineers employed by the company
X3 - # of years involved with health care projects
X4 - # of states in which the firm operates
X5 - % of the firms work that is health care-related
- Write out the regression equation
- How large is the sample? How many independent variables are there?
- Conduct a global test of hypothesis to see if any of the set of regression coefficients could be different from 0. Use the .05 significance level. What is your conclusion?
- Conduct a test of hypothesis for each independent variable. Use the .05 significance level. Which variable would you consider eliminating first?
- Outline a strategy for deleting independent variables in this cas
Solutions
milcah answered 1 year agoRelated Solutions
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 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...
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
8.870
3.128
2.836
0.010
x1
0.212
0.050
4.240
0.000
x2
−
1.004
0.545
−
1.842
0.028
x3
−
0.246
0.387
−
0.636
0.114
x4
0.669
0.326
2.052
0.001
x5
−
0.062
0.030
−
2.067
0.112
Analysis of Variance
Source
DF
SS
MS
F
p-value
Regression
5
2,029.13
405.8...
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
P
Constant
7.987
2.967
2.69
-
X1
0.12242
0.03121
3.92
0.0000
X2
-0.12166
0.05353
-2.27
0.028
X3
-0.06281
0.03901
-1.61
0.114
X4
0.5235
0.1420
3.69
0.001
X5
-0.06472
0.03999
-1.62
0.112
Analysis of Variance
Source
DF
SS
MS
F
P
Regression
5
3710.00
742.00
12.89
0.000
Residual Error
46
2647.38...
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