Jennifer Siegel. Statistical background Z-Test T-Test Anovas.
Statistical Discrete Test
description
Transcript of Statistical Discrete Test
CORRELATIONS
/VARIABLES=sales time marketpo advertis marketsh marketsc accounts workload rating
/PRINT=TWOTAIL NOSIG
/MISSING=PAIRWISE.
Correlations
Output Created
Comments
Data
Active Dataset
Filter
Weight
Split File
N of Rows in Working Data FileDefinition of Missing
Cases Used
Syntax
Processor Time
Elapsed Time
Input
Missing Value Handling
Resources
00:00:00.031
00:00:00.031
CORRELATIONS /VARIABLES=sales time marketpo advertis marketsh marketsc accounts workload rating /PRINT=TWOTAIL NOSIG /MISSING=PAIRWISE.
Statistics for each pair of variables are based on all the cases with valid data for that pair.
User-defined missing values are treated as missing.
25
<none>
<none>
<none>
DataSet1
X:\Ekachidd\Multiple Regression\Case-MultipleR.sav
04-Feb-2014 15:02:59
Notes
[DataSet1] X:\Ekachidd\Multiple Regression\Case-MultipleR.sav
accountsmarketscmarketshadvertismarketpotimesalesPearson Correlation
Sig. (2-tailed)
N
Pearson Correlation
sales
time .758**.251.106.249.454*1.623**
25252525252525
.000.013.014.002.002.001
.754**.489*.484*.596**.598**.623**1
Correlations
**. Correlation is significant at the 0.01 level (2-tailed).
*. Correlation is significant at the 0.05 level (2-tailed).
Page 1
ratingworkloadPearson Correlation
Sig. (2-tailed)
N
Pearson Correlation
sales
time .101-.179
2525
.046.577
.402*-.117
Correlations
**. Correlation is significant at the 0.01 level (2-tailed).
*. Correlation is significant at the 0.05 level (2-tailed).
accountsmarketscmarketshadvertismarketpotimesalesSig. (2-tailed)
N
Pearson Correlation
Sig. (2-tailed)
N
Pearson Correlation
Sig. (2-tailed)
N
Pearson Correlation
Sig. (2-tailed)
N
Pearson Correlation
Sig. (2-tailed)
N
Pearson Correlation
Sig. (2-tailed)
N
Pearson Correlation
Sig. (2-tailed)
N
Pearson Correlation
Sig. (2-tailed)
N
time
marketpo
advertis
marketsh
marketsc
accounts
workload
rating
25252525252525
.272.004.911.041.078.631.046
.229.549**-.024.411*.359.101.402*
25252525252525
.341.163.087.188.212.391.577
-.199-.288.349-.272-.259-.179-.117
25252525252525
.110.046.338.016.000.000
1.327.403*.200.479*.758**.754**
25252525252525
.110.685.064.195.225.013
.3271.085.377.268.251.489*
25252525252525
.046.685.201.312.613.014
.403*.0851.264-.211.106.484*
25252525252525
.338.064.201.405.230.002
.200.377.2641.174.249.596**
25252525252525
.016.195.312.405.023.002
.479*.268-.211.1741.454*.598**
25252525252525
.000.225.613.230.023.001
Correlations
**. Correlation is significant at the 0.01 level (2-tailed).
*. Correlation is significant at the 0.05 level (2-tailed).
Page 2
ratingworkloadSig. (2-tailed)
N
Pearson Correlation
Sig. (2-tailed)
N
Pearson Correlation
Sig. (2-tailed)
N
Pearson Correlation
Sig. (2-tailed)
N
Pearson Correlation
Sig. (2-tailed)
N
Pearson Correlation
Sig. (2-tailed)
N
Pearson Correlation
Sig. (2-tailed)
N
Pearson Correlation
Sig. (2-tailed)
N
time
marketpo
advertis
marketsh
marketsc
accounts
workload
rating
2525
.180
1-.277
2525
.180
-.2771
2525
.272.341
.229-.199
2525
.004.163
.549**-.288
2525
.911.087
-.024.349
2525
.041.188
.411*-.272
2525
.078.212
.359-.259
2525
.631.391
Correlations
**. Correlation is significant at the 0.01 level (2-tailed).
*. Correlation is significant at the 0.05 level (2-tailed).
REGRESSION
/DESCRIPTIVES MEAN STDDEV CORR SIG N
/MISSING LISTWISE
/STATISTICS COEFF OUTS R ANOVA
/CRITERIA=PIN(.05) POUT(.10)
/NOORIGIN
/DEPENDENT sales
/METHOD=ENTER time marketpo advertis marketsh marketsc accounts workload rating
/SCATTERPLOT=(*ZRESID ,*ZPRED)
/RESIDUALS DURBIN HIST(ZRESID) NORM(ZRESID).
Page 3
Regression
Output Created
Comments
Data
Active Dataset
Filter
Weight
Split File
N of Rows in Working Data FileDefinition of Missing
Cases Used
Syntax
Processor Time
Elapsed Time
Memory Required
Additional Memory Required for Residual Plots
Input
Missing Value Handling
Resources
856 bytes
4012 bytes
00:00:01.469
00:00:01.438
REGRESSION /DESCRIPTIVES MEAN STDDEV CORR SIG N /MISSING LISTWISE /STATISTICS COEFF OUTS R ANOVA /CRITERIA=PIN(.05) POUT(.10) /NOORIGIN /DEPENDENT sales /METHOD=ENTER time marketpo advertis marketsh marketsc accounts workload rating /SCATTERPLOT=(*ZRESID ,*ZPRED) /RESIDUALS DURBIN HIST(ZRESID) NORM(ZRESID).
Statistics are based on cases with no missing values for any variable used.
User-defined missing values are treated as missing.
25
<none>
<none>
<none>
DataSet1
X:\Ekachidd\Multiple Regression\Case-MultipleR.sav
04-Feb-2014 15:03:10
Notes
[DataSet1] X:\Ekachidd\Multiple Regression\Case-MultipleR.sav
NStd. DeviationMeansales
time 2586.7916287.6404
251313.078803.3746E3
Descriptive Statistics
Page 4
NStd. DeviationMeanmarketpo
advertis
marketsh
marketsc
accounts
workload
rating 25.959203.7440
253.6700718.0608
2545.578021.2270E2
25.62105.0956
252.459797.5648
252689.079814.3574E3
2515714.537923.8858E4
Descriptive Statistics
accountsmarketscmarketshadvertismarketpotimesalessales
time
marketpo
advertis
marketsh
marketsc
accounts
workload
rating
sales
time
marketpo
advertis
marketsh
marketsc
accounts
workload
rating
sales
time
marketpo
advertis
marketsh
marketsc
accounts
workload
rating
Pearson Correlation
Sig. (1-tailed)
N
25252525252525
25252525252525
25252525252525
25252525252525
25252525252525
25252525252525
25252525252525
25252525252525
25252525252525
.136.002.455.021.039.315.023
.170.082.043.094.106.195.288
..055.023.169.008.000.000
.055..342.032.097.113.007
.023.342..101.156.307.007
.169.032.101..203.115.001
.008.097.156.203..011.001
.000.113.307.115.011..000
.000.007.007.001.001.000.
.229.549-.024.411.359.101.402
-.199-.288.349-.272-.259-.179-.117
1.000.327.403.200.479.758.754
.3271.000.085.377.268.251.489
.403.0851.000.264-.211.106.484
.200.377.2641.000.174.249.596
.479.268-.211.1741.000.454.598
.758.251.106.249.4541.000.623
.754.489.484.596.598.6231.000
Correlations
Page 5
ratingworkloadsales
time
marketpo
advertis
marketsh
marketsc
accounts
workload
rating
sales
time
marketpo
advertis
marketsh
marketsc
accounts
workload
rating
sales
time
marketpo
advertis
marketsh
marketsc
accounts
workload
rating
Pearson Correlation
Sig. (1-tailed)
N
2525
2525
2525
2525
2525
2525
2525
2525
2525
..090
.090.
.136.170
.002.082
.455.043
.021.094
.039.106
.315.195
.023.288
1.000-.277
-.2771.000
.229-.199
.549-.288
-.024.349
.411-.272
.359-.259
.101-.179
.402-.117
Correlations
MethodVariables Removed
Variables Entered
1
Enter.
rating, marketsh, time, workload, advertis, marketpo, marketsc, accounts a
ModelModel
Variables Entered/Removedb
a. All requested variables entered.
b. Dependent Variable: sales
Page 6
Durbin-Watson
Std. Error of the Estimate
Adjusted R SquareR SquareR
1 1.872449.02651.883.922.960a
ModelModel
Model Summaryb
a. Predictors: (Constant), rating, marketsh, time, workload, advertis, marketpo, marketsc, accounts
b. Dependent Variable: sales
Sig.FMean SquaredfSum of
SquaresRegression
Residual
Total
1
244.138E7
201624.811163225996.974
.000a23.6544769278.18583.815E7ModelModel
ANOVAb
a. Predictors: (Constant), rating, marketsh, time, workload, advertis, marketpo, marketsc, accounts
b. Dependent Variable: sales
Std. ErrorB Beta t Sig.
Standardized CoefficientsUnstandardized Coefficients
(Constant)
time
marketpo
advertis
marketsh
marketsc
accounts
workload
rating
1
.950.064.006128.5098.221
.565.588.05533.67519.798
.2621.162.1934.7755.550
.1391.557.138186.783290.834
.0092.969.37367.028199.035
.0063.205.309.047.151
.0004.536.445.008.037
.3131.041.1331.9312.010
.071-1.937778.607-1508.048ModelModel
Coefficientsa
a. Dependent Variable: sales
NStd. DeviationMeanMaximumMinimumPredicted Value
Residual
Std. Predicted Value
Std. Residual 25.816.0001.757-1.223
251.000.0002.219-1.584
25366.62861.000007.88986E2-5.4935E2
251260.856613.3746E36.1719E31.3770E3
Residuals Statisticsa
a. Dependent Variable: sales
Page 7
Charts
Regression Standardized Residual
210-1-2
Fre
qu
ency
5
4
3
2
1
0
Histogram
Dependent Variable: sales
Mean =-2.84E-16Std. Dev. =0.816
N =25
Page 8
Observed Cum Prob
1.00.80.60.40.20.0
Exp
ecte
d C
um
Pro
b
1.0
0.8
0.6
0.4
0.2
0.0
Normal P-P Plot of Regression Standardized Residual
Dependent Variable: sales
Page 9
Regression Standardized Predicted Value
3210-1-2
Reg
ress
ion
Sta
nd
ard
ized
Res
idu
al
2
1
0
-1
-2
Scatterplot
Dependent Variable: sales
REGRESSION
/DESCRIPTIVES MEAN STDDEV CORR SIG N
/MISSING LISTWISE
/STATISTICS COEFF OUTS R ANOVA
/CRITERIA=PIN(.05) POUT(.10)
/NOORIGIN
/DEPENDENT sales
/METHOD=STEPWISE time marketpo advertis marketsh marketsc accounts workload rating
/SCATTERPLOT=(*ZRESID ,*ZPRED)
/RESIDUALS DURBIN HIST(ZRESID) NORM(ZRESID).
Page 10
Regression
Output Created
Comments
Data
Active Dataset
Filter
Weight
Split File
N of Rows in Working Data FileDefinition of Missing
Cases Used
Syntax
Processor Time
Elapsed Time
Memory Required
Additional Memory Required for Residual Plots
Input
Missing Value Handling
Resources
856 bytes
4492 bytes
00:00:02.140
00:00:02.125
REGRESSION /DESCRIPTIVES MEAN STDDEV CORR SIG N /MISSING LISTWISE /STATISTICS COEFF OUTS R ANOVA /CRITERIA=PIN(.05) POUT(.10) /NOORIGIN /DEPENDENT sales /METHOD=STEPWISE time marketpo advertis marketsh marketsc accounts workload rating /SCATTERPLOT=(*ZRESID ,*ZPRED) /RESIDUALS DURBIN HIST(ZRESID) NORM(ZRESID).
Statistics are based on cases with no missing values for any variable used.
User-defined missing values are treated as missing.
25
<none>
<none>
<none>
DataSet1
X:\Ekachidd\Multiple Regression\Case-MultipleR.sav
04-Feb-2014 15:03:27
Notes
[DataSet1] X:\Ekachidd\Multiple Regression\Case-MultipleR.sav
NStd. DeviationMeansales
time
marketpo 2515714.537923.8858E4
2586.7916287.6404
251313.078803.3746E3
Descriptive Statistics
Page 11
NStd. DeviationMeanadvertis
marketsh
marketsc
accounts
workload
rating 25.959203.7440
253.6700718.0608
2545.578021.2270E2
25.62105.0956
252.459797.5648
252689.079814.3574E3
Descriptive Statistics
accountsmarketscmarketshadvertismarketpotimesalessales
time
marketpo
advertis
marketsh
marketsc
accounts
workload
rating
sales
time
marketpo
advertis
marketsh
marketsc
accounts
workload
rating
sales
time
marketpo
advertis
marketsh
marketsc
accounts
workload
rating
Pearson Correlation
Sig. (1-tailed)
N
25252525252525
25252525252525
25252525252525
25252525252525
25252525252525
25252525252525
25252525252525
25252525252525
25252525252525
.136.002.455.021.039.315.023
.170.082.043.094.106.195.288
..055.023.169.008.000.000
.055..342.032.097.113.007
.023.342..101.156.307.007
.169.032.101..203.115.001
.008.097.156.203..011.001
.000.113.307.115.011..000
.000.007.007.001.001.000.
.229.549-.024.411.359.101.402
-.199-.288.349-.272-.259-.179-.117
1.000.327.403.200.479.758.754
.3271.000.085.377.268.251.489
.403.0851.000.264-.211.106.484
.200.377.2641.000.174.249.596
.479.268-.211.1741.000.454.598
.758.251.106.249.4541.000.623
.754.489.484.596.598.6231.000
Correlations
Page 12
ratingworkloadsales
time
marketpo
advertis
marketsh
marketsc
accounts
workload
rating
sales
time
marketpo
advertis
marketsh
marketsc
accounts
workload
rating
sales
time
marketpo
advertis
marketsh
marketsc
accounts
workload
rating
Pearson Correlation
Sig. (1-tailed)
N
2525
2525
2525
2525
2525
2525
2525
2525
2525
..090
.090.
.136.170
.002.082
.455.043
.021.094
.039.106
.315.195
.023.288
1.000-.277
-.2771.000
.229-.199
.549-.288
-.024.349
.411-.272
.359-.259
.101-.179
.402-.117
Correlations
MethodVariables Removed
Variables Entered
1 Stepwise (Criteria: Probability-of-F-to-enter <= .050, Probability-of-F-to-remove >= .100).
.accounts
ModelModel
Variables Entered/Removeda
a. Dependent Variable: sales
Page 13
MethodVariables Removed
Variables Entered
2
3
4 Stepwise (Criteria: Probability-of-F-to-enter <= .050, Probability-of-F-to-remove >= .100).
.marketsh
Stepwise (Criteria: Probability-of-F-to-enter <= .050, Probability-of-F-to-remove >= .100).
.marketpo
Stepwise (Criteria: Probability-of-F-to-enter <= .050, Probability-of-F-to-remove >= .100).
.advertis
ModelModel
Variables Entered/Removeda
a. Dependent Variable: sales
Durbin-Watson
Std. Error of the Estimate
Adjusted R SquareR SquareR
1
2
3
4 1.596453.84176.881.900.949d
582.64389.803.828.910c
650.40036.755.775.880b
881.10084.550.568.754a
ModelModel
Model Summarye
a. Predictors: (Constant), accounts
b. Predictors: (Constant), accounts, advertis
c. Predictors: (Constant), accounts, advertis, marketpo
d. Predictors: (Constant), accounts, advertis, marketpo, marketsh
e. Dependent Variable: sales
Page 14
Sig.FMean SquaredfSum of
SquaresRegression
Residual
Total
Regression
Residual
Total
Regression
Residual
Total
Regression
Residual
Total
1
2
3
4
244.138E7
205972.342204119446.846
.000d45.2259315193.90243.726E7
244.138E7
339473.903217128951.967
.000c33.6321.142E733.425E7
244.138E7
423020.625229306453.743
.000b37.9101.604E723.207E7
244.138E7
776338.698231.786E7
.000a30.3022.352E712.352E7ModelModel
ANOVAe
a. Predictors: (Constant), accounts
b. Predictors: (Constant), accounts, advertis
c. Predictors: (Constant), accounts, advertis, marketpo
d. Predictors: (Constant), accounts, advertis, marketpo, marketsh
e. Dependent Variable: sales
Std. ErrorB Beta t Sig.
Standardized CoefficientsUnstandardized Coefficients
(Constant)
accounts
(Constant)
accounts
advertis
(Constant)
accounts
advertis
marketpo
(Constant)
accounts
advertis
marketpo
marketsh
1
2
3
4
.0013.822.35649.745190.147
.0004.791.457.008.038
.0004.741.358.037.175
.0043.216.3202.8659.214
.003-3.404423.587-1441.962
.0192.533.262.009.022
.0004.767.443.045.216
.0005.186.5402.99915.554
.416-.830394.406-327.245
.0004.496.464.050.227
.0006.407.6612.97319.048
.903.123407.61550.289
.0005.505.7543.94621.722
.1821.377515.251709.320ModelModel
Coefficientsa
a. Dependent Variable: sales
Page 15
Beta In t Sig.Partial
Correlation Tolerance
Collinearity Statistics
time
marketpo
advertis
marketsh
marketsc
workload
rating
time
marketpo
marketsh
marketsc
workload
rating
time
marketsh
marketsc
workload
rating
time
marketsc
workload
rating
1
2
3
4
.738.095.683.414.035d
.605.154.504.681.063d
.776.347.1241.611.124d
.355.244.2871.095.129d
.745.006.978.028.003c
.877.459.0322.312.204c
.782.205.359.939.096c
.573.650.0013.822.356c
.407-.059.794-.264-.038c
.808.140.523.650.074b
.904.312.1481.503.155b
.792.232.2861.094.124b
.802.222.3081.044.118b
.765.484.0192.533.262b
.416.020.926.094.015b
.948.359.0851.803.242a
.960.051.814.239.034a
.893.390.0591.989.271a
.838.299.1561.469.214a
.960.692.0004.496.464a
.771.411.0462.113.307a
.426.120.576.568.121a
ModelModel
Excluded Variablese
a. Predictors in the Model: (Constant), accounts
b. Predictors in the Model: (Constant), accounts, advertis
c. Predictors in the Model: (Constant), accounts, advertis, marketpo
d. Predictors in the Model: (Constant), accounts, advertis, marketpo, marketsh
e. Dependent Variable: sales
NStd. DeviationMeanMaximumMinimumPredicted Value
Residual
Std. Predicted Value
Std. Residual 25.913.0002.059-1.737
251.000.0002.210-1.387
25414.29895.000009.34473E2-7.8824E2
251246.006553.3746E36.1280E31.6465E3
Residuals Statisticsa
a. Dependent Variable: sales
Page 16
Charts
Regression Standardized Residual
3210-1-2
Fre
qu
ency
6
5
4
3
2
1
0
Histogram
Dependent Variable: sales
Mean =3.57E-16Std. Dev. =0.913
N =25
Page 17
Observed Cum Prob
1.00.80.60.40.20.0
Exp
ecte
d C
um
Pro
b
1.0
0.8
0.6
0.4
0.2
0.0
Normal P-P Plot of Regression Standardized Residual
Dependent Variable: sales
Page 18
Regression Standardized Predicted Value
3210-1-2
Reg
ress
ion
Sta
nd
ard
ized
Res
idu
al
3
2
1
0
-1
-2
Scatterplot
Dependent Variable: sales
REGRESSION
/DESCRIPTIVES MEAN STDDEV CORR SIG N
/MISSING LISTWISE
/STATISTICS COEFF OUTS R ANOVA
/CRITERIA=PIN(.05) POUT(.10)
/NOORIGIN
/DEPENDENT sales
/METHOD=STEPWISE marketpo advertis marketsh time
/SCATTERPLOT=(*ZRESID ,*ZPRED)
/RESIDUALS DURBIN HIST(ZRESID) NORM(ZRESID).
Page 19
Regression
Output Created
Comments
Data
Active Dataset
Filter
Weight
Split File
N of Rows in Working Data FileDefinition of Missing
Cases Used
Syntax
Processor Time
Elapsed Time
Memory Required
Additional Memory Required for Residual Plots
Input
Missing Value Handling
Resources
888 bytes
2620 bytes
00:00:01.889
00:00:01.875
REGRESSION /DESCRIPTIVES MEAN STDDEV CORR SIG N /MISSING LISTWISE /STATISTICS COEFF OUTS R ANOVA /CRITERIA=PIN(.05) POUT(.10) /NOORIGIN /DEPENDENT sales /METHOD=STEPWISE marketpo advertis marketsh time /SCATTERPLOT=(*ZRESID ,*ZPRED) /RESIDUALS DURBIN HIST(ZRESID) NORM(ZRESID).
Statistics are based on cases with no missing values for any variable used.
User-defined missing values are treated as missing.
25
<none>
<none>
<none>
DataSet1
X:\Ekachidd\Multiple Regression\Case-MultipleR.sav
04-Feb-2014 15:04:50
Notes
[DataSet1] X:\Ekachidd\Multiple Regression\Case-MultipleR.sav
NStd. DeviationMeansales
marketpo
advertis 252689.079814.3574E3
2515714.537923.8858E4
251313.078803.3746E3
Descriptive Statistics
Page 20
NStd. DeviationMeanmarketsh
time 2586.7916287.6404
252.459797.5648
Descriptive Statistics
timemarketshadvertismarketposalessales
marketpo
advertis
marketsh
time
sales
marketpo
advertis
marketsh
time
sales
marketpo
advertis
marketsh
time
Pearson Correlation
Sig. (1-tailed)
N
2525252525
2525252525
2525252525
2525252525
2525252525
..307.115.011.000
.307..101.156.007
.115.101..203.001
.011.156.203..001
.000.007.001.001.
1.000.106.249.454.623
.1061.000.264-.211.484
.249.2641.000.174.596
.454-.211.1741.000.598
.623.484.596.5981.000
Correlations
MethodVariables Removed
Variables Entered
1
2 Stepwise (Criteria: Probability-of-F-to-enter <= .050, Probability-of-F-to-remove >= .100).
.advertis
Stepwise (Criteria: Probability-of-F-to-enter <= .050, Probability-of-F-to-remove >= .100).
.time
ModelModel
Variables Entered/Removeda
a. Dependent Variable: sales
Page 21
MethodVariables Removed
Variables Entered
3
4 Stepwise (Criteria: Probability-of-F-to-enter <= .050, Probability-of-F-to-remove >= .100).
.marketsh
Stepwise (Criteria: Probability-of-F-to-enter <= .050, Probability-of-F-to-remove >= .100).
.marketpo
ModelModel
Variables Entered/Removeda
a. Dependent Variable: sales
Durbin-Watson
Std. Error of the Estimate
Adjusted R SquareR SquareR
1
2
3
4 1.240463.94643.875.896.947d
769.97913.656.699.836c
872.48061.559.595.772b
1049.31855.361.388.623a
ModelModel
Model Summarye
a. Predictors: (Constant), time
b. Predictors: (Constant), time, advertis
c. Predictors: (Constant), time, advertis, marketpo
d. Predictors: (Constant), time, advertis, marketpo, marketsh
e. Dependent Variable: sales
Page 22
Sig.FMean SquaredfSum of
SquaresRegression
Residual
Total
Regression
Residual
1
2
761222.415221.675E7
.000b16.1801.232E722.463E7
244.138E7
1101069.424232.532E7
.001a14.5821.606E711.606E7ModelModel
ANOVAe
a. Predictors: (Constant), time
b. Predictors: (Constant), time, advertis
c. Predictors: (Constant), time, advertis, marketpo
d. Predictors: (Constant), time, advertis, marketpo, marketsh
e. Dependent Variable: sales
Sig.FMean SquaredfSum of
SquaresTotal
Regression
Residual
Total
Regression
Residual
Total
2
3
4
244.138E7
215246.287204304925.749
.000d43.0619268824.17643.708E7
244.138E7
592867.867211.245E7
.000c16.2669643332.41632.893E7
244.138E7ModelModel
ANOVAe
a. Predictors: (Constant), time
b. Predictors: (Constant), time, advertis
c. Predictors: (Constant), time, advertis, marketpo
d. Predictors: (Constant), time, advertis, marketpo, marketsh
e. Dependent Variable: sales
Std. ErrorB Beta t Sig.
Standardized CoefficientsUnstandardized Coefficients
(Constant)
time
(Constant)
time
advertis
(Constant)
time
1
2
3
.0192.534.3472.0725.250
.1041.701462.785787.154
.0033.357.470.068.230
.0023.611.5062.1197.651
.0004.797355.1691703.741
.0013.819.6232.4689.424
.0008.457301.3682548.670ModelModel
Coefficientsa
a. Dependent Variable: sales
Page 23
Std. ErrorB Beta t Sig.
Standardized CoefficientsUnstandardized Coefficients
advertis
marketpo
(Constant)
time
advertis
marketpo
marketsh
3
4
.0006.152.48642.182259.484
.0006.203.531.007.044
.0014.014.312.038.152
.0073.006.2521.2703.817
.007-2.978440.737-1312.437
.0142.692.363.011.030
.0023.604.447.061.218ModelModel
Coefficientsa
a. Dependent Variable: sales
Beta In t Sig.Partial
Correlation Tolerance
Collinearity Statistics
marketpo
advertis
marketsh
marketpo
marketsh
marketsh
1
2
3 .833.809.0006.152.486c
.928.498.0152.634.329b
.790.507.0142.692.363b
.989.537.0072.982.422a
.938.582.0033.357.470a
.794.452.0272.377.397a
ModelModel
Excluded Variablesd
a. Predictors in the Model: (Constant), time
b. Predictors in the Model: (Constant), time, advertis
c. Predictors in the Model: (Constant), time, advertis, marketpo
d. Dependent Variable: sales
NStd. DeviationMeanMaximumMinimumPredicted Value
Residual
Std. Predicted Value
Std. Residual 25.913.0001.632-1.481
251.000.0001.973-1.474
25423.52321.000007.56938E2-6.8716E2
251242.901463.3746E35.8274E31.5426E3
Residuals Statisticsa
a. Dependent Variable: sales
Charts
Page 24
Regression Standardized Residual
210-1-2
Fre
qu
ency
6
5
4
3
2
1
0
Histogram
Dependent Variable: sales
Mean =-9.26E-16Std. Dev. =0.913
N =25
Page 25
Observed Cum Prob
1.00.80.60.40.20.0
Exp
ecte
d C
um
Pro
b
1.0
0.8
0.6
0.4
0.2
0.0
Normal P-P Plot of Regression Standardized Residual
Dependent Variable: sales
Page 26
Regression Standardized Predicted Value
210-1-2
Reg
ress
ion
Sta
nd
ard
ized
Res
idu
al
2
1
0
-1
-2
Scatterplot
Dependent Variable: sales
REGRESSION
/DESCRIPTIVES MEAN STDDEV CORR SIG N
/MISSING LISTWISE
/STATISTICS COEFF OUTS R ANOVA
/CRITERIA=PIN(.05) POUT(.10)
/NOORIGIN
/DEPENDENT sales
/METHOD=ENTER marketpo advertis marketsh time
/SCATTERPLOT=(*ZRESID ,*ZPRED)
/RESIDUALS DURBIN HIST(ZRESID) NORM(ZRESID).
Page 27
Regression
Output Created
Comments
Data
Active Dataset
Filter
Weight
Split File
N of Rows in Working Data FileDefinition of Missing
Cases Used
Syntax
Processor Time
Elapsed Time
Memory Required
Additional Memory Required for Residual Plots
Input
Missing Value Handling
Resources
888 bytes
2380 bytes
00:00:01.436
00:00:01.422
REGRESSION /DESCRIPTIVES MEAN STDDEV CORR SIG N /MISSING LISTWISE /STATISTICS COEFF OUTS R ANOVA /CRITERIA=PIN(.05) POUT(.10) /NOORIGIN /DEPENDENT sales /METHOD=ENTER marketpo advertis marketsh time /SCATTERPLOT=(*ZRESID ,*ZPRED) /RESIDUALS DURBIN HIST(ZRESID) NORM(ZRESID).
Statistics are based on cases with no missing values for any variable used.
User-defined missing values are treated as missing.
25
<none>
<none>
<none>
DataSet1
X:\Ekachidd\Multiple Regression\Case-MultipleR.sav
04-Feb-2014 15:05:58
Notes
[DataSet1] X:\Ekachidd\Multiple Regression\Case-MultipleR.sav
NStd. DeviationMeansales
marketpo
advertis 252689.079814.3574E3
2515714.537923.8858E4
251313.078803.3746E3
Descriptive Statistics
Page 28
NStd. DeviationMeanmarketsh
time 2586.7916287.6404
252.459797.5648
Descriptive Statistics
timemarketshadvertismarketposalessales
marketpo
advertis
marketsh
time
sales
marketpo
advertis
marketsh
time
sales
marketpo
advertis
marketsh
time
Pearson Correlation
Sig. (1-tailed)
N
2525252525
2525252525
2525252525
2525252525
2525252525
..307.115.011.000
.307..101.156.007
.115.101..203.001
.011.156.203..001
.000.007.001.001.
1.000.106.249.454.623
.1061.000.264-.211.484
.249.2641.000.174.596
.454-.211.1741.000.598
.623.484.596.5981.000
Correlations
MethodVariables Removed
Variables Entered
1
Enter.
time, marketsh, advertis, marketpo a
ModelModel
Variables Entered/Removedb
a. All requested variables entered.
b. Dependent Variable: sales
Durbin-Watson
Std. Error of the Estimate
Adjusted R SquareR SquareR
1 1.240463.94643.875.896.947a
ModelModel
Model Summaryb
a. Predictors: (Constant), time, marketsh, advertis, marketpo
b. Dependent Variable: sales
Page 29
Sig.FMean SquaredfSum of
SquaresRegression
Residual
Total
1
244.138E7
215246.287204304925.749
.000a43.0619268824.17643.708E7ModelModel
ANOVAb
a. Predictors: (Constant), time, marketsh, advertis, marketpo
b. Dependent Variable: sales
Std. ErrorB Beta t Sig.
Standardized CoefficientsUnstandardized Coefficients
(Constant)
marketpo
advertis
marketsh
time
1
.0073.006.2521.2703.817
.0006.152.48642.182259.484
.0014.014.312.038.152
.0006.203.531.007.044
.007-2.978440.737-1312.437ModelModel
Coefficientsa
a. Dependent Variable: sales
NStd. DeviationMeanMaximumMinimumPredicted Value
Residual
Std. Predicted Value
Std. Residual 25.913.0001.632-1.481
251.000.0001.973-1.474
25423.52321.000007.56938E2-6.8716E2
251242.901463.3746E35.8274E31.5426E3
Residuals Statisticsa
a. Dependent Variable: sales
Charts
Page 30
Regression Standardized Residual
210-1-2
Fre
qu
ency
6
5
4
3
2
1
0
Histogram
Dependent Variable: sales
Mean =3.05E-16Std. Dev. =0.913
N =25
Page 31
Observed Cum Prob
1.00.80.60.40.20.0
Exp
ecte
d C
um
Pro
b
1.0
0.8
0.6
0.4
0.2
0.0
Normal P-P Plot of Regression Standardized Residual
Dependent Variable: sales
Page 32
Regression Standardized Predicted Value
210-1-2
Reg
ress
ion
Sta
nd
ard
ized
Res
idu
al
2
1
0
-1
-2
Scatterplot
Dependent Variable: sales
Page 33