Statistical Discrete Test

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OMG316 tuesday 4th february 2014

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