Conduct a multiple regression analysis, using ‘monthly sales value’ as the Dependent Variable and entering all other variables simultaneously as the predictors. Determine the regression equation. Which are the best p
Conduct a multiple regression analysis, using ‘monthly sales value’ as the Dependent Variable and entering all other variables simultaneously as the predictors. Determine the regression equation. Which are the best p
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
Could you please help interpret this SPSS output, i already conducted the multiple
Conduct a multiple regression analysis, using ‘monthly sales value’ as the Dependent Variable and entering all other variables simultaneously as the predictors.
- Determine the regression equation.
- Which are the best predictors and which predictors contribute very little to the estimate of mean monthly sales value? Interpret the regression results in terms of (1) the variance explained, (2) the overall significance of the regression equation, and (3) the significance, sign and value of each regression coefficient.
![Distance in kms from
.764
-.025
-.003
.170
5.898
nearest competitor
median housing cost in
$k within 5km radius
Branches of multiple
.681
-.096
-.013
.335
2.988
a. Dependent Variable: Value of monthly sales in $k in 2007
.320
.030
.004
.445
2.247
store
Floor area in sq mts
.954
.716
.135
.116
8.596
Residuals Statistics
Std.
Minimum
Maximum
Mean
Deviation
Predicted Value
2652.0798 11307.1230 5826.9286 2970.58071
14
a. Dependent Variable: Value of monthly sales in $k in 2007
Residual
-707.65735 765.92017
.00000
394.56188
14
Std. Predicted
Value
-1.069
1.845
.000
1.000
14
Collinearity Diagnostics:
Std. Residual
-1.316
1.424
.000
.734
14
Variance Proportions
a. Dependent Variable: Value of monthly sales in $k in 2007
Number of
Number of
Eigenvalu
Condition
employees in
branch
carparking
Model Dimension
e
Index
(Constant)
spaces
.00
1
1
6.492
1.000
.00
.00
Charts
.239
5.217
.01
.00
.01
6.246
10.194
.166
.02
.01
.00
4
.062
.00
.04
.00
.026
15.955
.02
.37
.01
Histogram
.010
24.880
.22
.34
.59
Dependent Variable: Value of monthly sales in $k in 2007
7
.004
38.306
.73
.24
.38
Mean = -1.47E-15
Std. Dev,
N= 14
Collinearity Diagnostics
Variance Proportions
Distance in
median
housing cost
in
within
kms from
nearest
Branches of
Floor area in
Model Dimension
competitor
5km radius
multiple store
sq mts
1
1
.00
.00
.00
.00
.00
.00
.13
.02
.02
.01
.27
.01
4
.38
.00
.10
.06
.01
.01
.11
.46
-1.5
-1.0
0.0
0.5
1.0
1.5
.07
.09
.11
.18
Regression Standardized Residual
7
.51
.28
.27
Frequency
888888|
88858%](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe779c950-a70e-4610-a191-11ec3afdb7c4%2Fbcf45f67-337e-4b39-a8bb-1ccebb0125dd%2F9p7j0b8_processed.png&w=3840&q=75)
Transcribed Image Text:Distance in kms from
.764
-.025
-.003
.170
5.898
nearest competitor
median housing cost in
$k within 5km radius
Branches of multiple
.681
-.096
-.013
.335
2.988
a. Dependent Variable: Value of monthly sales in $k in 2007
.320
.030
.004
.445
2.247
store
Floor area in sq mts
.954
.716
.135
.116
8.596
Residuals Statistics
Std.
Minimum
Maximum
Mean
Deviation
Predicted Value
2652.0798 11307.1230 5826.9286 2970.58071
14
a. Dependent Variable: Value of monthly sales in $k in 2007
Residual
-707.65735 765.92017
.00000
394.56188
14
Std. Predicted
Value
-1.069
1.845
.000
1.000
14
Collinearity Diagnostics:
Std. Residual
-1.316
1.424
.000
.734
14
Variance Proportions
a. Dependent Variable: Value of monthly sales in $k in 2007
Number of
Number of
Eigenvalu
Condition
employees in
branch
carparking
Model Dimension
e
Index
(Constant)
spaces
.00
1
1
6.492
1.000
.00
.00
Charts
.239
5.217
.01
.00
.01
6.246
10.194
.166
.02
.01
.00
4
.062
.00
.04
.00
.026
15.955
.02
.37
.01
Histogram
.010
24.880
.22
.34
.59
Dependent Variable: Value of monthly sales in $k in 2007
7
.004
38.306
.73
.24
.38
Mean = -1.47E-15
Std. Dev,
N= 14
Collinearity Diagnostics
Variance Proportions
Distance in
median
housing cost
in
within
kms from
nearest
Branches of
Floor area in
Model Dimension
competitor
5km radius
multiple store
sq mts
1
1
.00
.00
.00
.00
.00
.00
.13
.02
.02
.01
.27
.01
4
.38
.00
.10
.06
.01
.01
.11
.46
-1.5
-1.0
0.0
0.5
1.0
1.5
.07
.09
.11
.18
Regression Standardized Residual
7
.51
.28
.27
Frequency
888888|
88858%
![Regression
Sum of
Squares
Regression 114716546.93
Mean Square
6 19119424.49
df
F
Sig.
<.001
Model
1
66.130
Variables Entered/Removeda
7
Variables
Variables
Residual
2023827.991
7
289118.284
Model
Entered
Removed
Method
Total
116740374.92
13
1
Floor area in
Enter
9.
sq mts,
Branches of
a. Dependent Variable: Value of monthly sales in $k in 2007
multiple store,
median
b. Predictors: (Constant), Floor area in sq mts, Branches of multiple store, median
housing cost in $k within 5km radius, Number of employees in branch, Distance in
kms from nearest competitor, Number of carparking spaces
housing cost
in $k within
5km radius,
Number of
Coefficients
employees in
branch,
Unstandardized
Standardized
Coefficients
Coefficients
Distance in
Model
B
Std. Error
Beta
Sig.
kms from
1
(Constant)
505.676
1215.593
.416
.690
nearest
competitor,
Number of
Number of employees in
91.408
83.206
.131
1.099
.308
branch
carparking
spaces
Number of carparking
28.442
11.355
.521
2.505
.041
a. Dependent Variable: Value of monthly sales in
$k in 2007
spaces
Distance in kms from
-9.787
145.917
-.008
-.067
.948
nearest competitor
median housing cost in
$k within 5km radius
Branches of multiple
b. All requested variables entered.
-.995
3.910
-.022
-.254
.807
4.302
53.438
.006
.081
.938
Model Summary
Adjusted R
Square
store
Std. Error of
Floor area in sq mts
.700
.258
.396
2.713
.030
R Square
the Estimate
Model
1
a. Predictors: (Constant), Floor area in sq mts, Branches of
multiple store, median housing cost in $k within 5km radius,
Number of employees in branch, Distance in kms from
nearest competitor, Number of carparking spaces
.991a
.983
.968
537.69721
Coefficients:
Correlations
Collinearity Statistics
Model
Zero-order
Partial
Part
Tolerance
VIF
1
(Constant)
Number of employees in
.892
.383
.055
.174
5.747
b. Dependent Variable: Value of monthly sales in $k in 2007
branch
Number of carparking
.975
.687
.125
.057
17.441
ANOVA:
spaces](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe779c950-a70e-4610-a191-11ec3afdb7c4%2Fbcf45f67-337e-4b39-a8bb-1ccebb0125dd%2Fvuejln9_processed.png&w=3840&q=75)
Transcribed Image Text:Regression
Sum of
Squares
Regression 114716546.93
Mean Square
6 19119424.49
df
F
Sig.
<.001
Model
1
66.130
Variables Entered/Removeda
7
Variables
Variables
Residual
2023827.991
7
289118.284
Model
Entered
Removed
Method
Total
116740374.92
13
1
Floor area in
Enter
9.
sq mts,
Branches of
a. Dependent Variable: Value of monthly sales in $k in 2007
multiple store,
median
b. Predictors: (Constant), Floor area in sq mts, Branches of multiple store, median
housing cost in $k within 5km radius, Number of employees in branch, Distance in
kms from nearest competitor, Number of carparking spaces
housing cost
in $k within
5km radius,
Number of
Coefficients
employees in
branch,
Unstandardized
Standardized
Coefficients
Coefficients
Distance in
Model
B
Std. Error
Beta
Sig.
kms from
1
(Constant)
505.676
1215.593
.416
.690
nearest
competitor,
Number of
Number of employees in
91.408
83.206
.131
1.099
.308
branch
carparking
spaces
Number of carparking
28.442
11.355
.521
2.505
.041
a. Dependent Variable: Value of monthly sales in
$k in 2007
spaces
Distance in kms from
-9.787
145.917
-.008
-.067
.948
nearest competitor
median housing cost in
$k within 5km radius
Branches of multiple
b. All requested variables entered.
-.995
3.910
-.022
-.254
.807
4.302
53.438
.006
.081
.938
Model Summary
Adjusted R
Square
store
Std. Error of
Floor area in sq mts
.700
.258
.396
2.713
.030
R Square
the Estimate
Model
1
a. Predictors: (Constant), Floor area in sq mts, Branches of
multiple store, median housing cost in $k within 5km radius,
Number of employees in branch, Distance in kms from
nearest competitor, Number of carparking spaces
.991a
.983
.968
537.69721
Coefficients:
Correlations
Collinearity Statistics
Model
Zero-order
Partial
Part
Tolerance
VIF
1
(Constant)
Number of employees in
.892
.383
.055
.174
5.747
b. Dependent Variable: Value of monthly sales in $k in 2007
branch
Number of carparking
.975
.687
.125
.057
17.441
ANOVA:
spaces
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