tahapan forecasting.docx

15
Null Hypothesis: IHK has a unit root Exogenous: Constant Lag Length: 2 (Automatic - base on !IC" maxlag#$%& t-!tatistic 'rob ) Augmente *ic+ey-,uller test statistic ./000 ..1. est critical 3alues: $4 le3el -% /0015 14 le3el -2 566%0% $ 4 le3el -2 16125/ )7acKinnon ($..0& one-sie p-3alues Augmente *ic+ey-,uller est E8uation *epenent 9ariable: *(IHK& 7etho: Least !8uares *ate: 0 2 $1 ime: 2$:/2 !ample (a;uste&: / $5/ Inclue obser3ations: $5$ a<ter a;ustments 9ariable Coe<<icient !t Error t-!tatistic 'rob IHK(-$& $610 $511 ./000 %/1$ *(IHK(-$&& % 611 6%/ % / .6%26 $ *(IHK(-2&& - 2$1$5/ 6%/51 -2 .252.$ %. C 261$11 $/0%55 $ 56.025 0$5 =-s8uare $ .1./ 7ean epenent 3ar //1.6/ A;uste =-s8uare ./1 % ! * epenent 3ar 0 // 6

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Null Hypothesis: IHK has a unit root

Exogenous: Constant

Lag Length: 2 (Automatic - based on SIC, maxlag=13)

t-StatisticProb.*

Augmented Dickey-Fuller test statistic0.9466600.9959

Test critical values:1% level-3.466580

5% level-2.877363

10% level-2.575284

*MacKinnon (1996) one-sided p-values.

Augmented Dickey-Fuller Test Equation

Dependent Variable: D(IHK)

Method: Least Squares

Date: 06/02/15 Time: 21:42

Sample (adjusted): 4 184

Included observations: 181 after adjustments

VariableCoefficientStd. Errort-StatisticProb.

IHK(-1)0.0017560.0018550.9466600.3451

D(IHK(-1))0.3007550.0734034.0973270.0001

D(IHK(-2))-0.2151840.073485-2.9282910.0039

C0.2751550.1463881.8796280.0618

R-squared0.109594Mean dependent var0.445974

Adjusted R-squared0.094503S.D. dependent var0.604407

S.E. of regression0.575139Akaike info criterion1.753442

Sum squared resid58.54895Schwarz criterion1.824127

Log likelihood-154.6865Hannan-Quinn criter.1.782099

F-statistic7.261924Durbin-Watson stat2.007632

Prob(F-statistic)0.000127

Null Hypothesis: D(IHK) has a unit root

Exogenous: Constant

Lag Length: 1 (Automatic - based on SIC, maxlag=13)

t-StatisticProb.*

Augmented Dickey-Fuller test statistic-10.114660.0000

Test critical values:1% level-3.466580

5% level-2.877363

10% level-2.575284

*MacKinnon (1996) one-sided p-values.

Augmented Dickey-Fuller Test Equation

Dependent Variable: D(IHK,2)

Method: Least Squares

Date: 06/02/15 Time: 21:44

Sample (adjusted): 4 184

Included observations: 181 after adjustments

VariableCoefficientStd. Errort-StatisticProb.

D(IHK(-1))-0.9018450.089162-10.114660.0000

D(IHK(-1),2)0.2081360.0730852.8478600.0049

C0.4023280.0581446.9194470.0000

R-squared0.402247Mean dependent var0.003329

Adjusted R-squared0.395530S.D. dependent var0.739535

S.E. of regression0.574971Akaike info criterion1.747443

Sum squared resid58.84539Schwarz criterion1.800456

Log likelihood-155.1436Hannan-Quinn criter.1.768936

F-statistic59.89088Durbin-Watson stat2.004924

Prob(F-statistic)0.000000

Dlilihat dr corelogram nya Pada partial c. Terdapat spike pada1,2,8 maka model AR yang diajukan adalah AR 1, AR 2, dan AR 8 Pada autocorre terdp spike 1, 8 maka model MA yang diajukan adalah MA 1, MA 8

NOMODELP VALUER2-adjAICSBC

CARMA

1(0,1,1)0.0000-0.00000.0880391.7468881.781965

2(0,1,8)0.0000-0.01750.0276211.8110381.846114

3(0,1,20)0.0000-0.00320.0290221.8095961.844672

4(0,1,35)0.0000-0.00150.0340861.8043671.839443

5(1,1,0)0.00000.0005-0.0605501.7795591.814768

6(1,1,1)0.00000.14570.00020.0890271.7541961.807009

7(1,1,8)0.00000.00060.02150.0851121.7584851.811298

8(1,1,20)0.00000.00140.01680.0780571.7661661.818980

9(1,1,35)0.00000.00090.00600.0867171.7567281.809542

10(2,1,0)0.00000.0808-0.0114441.8303401.865683

11(2,1,1)0.00000.13290.00010.0914761.7513631.804377

12(2,1,8)0.00000.06760.01670.0395971.8068941.859908

13(2,1,20)0.00000.04000.00110.0458931.8003171.853331

14(2,1,35)0.00000.07160.00170.0445101.8017671.854780

15(8,1,0)0.00000.0144-0.0285311.8406901.876859

16(8,1,1)0.00000.01330.00000.1122531.7561991.810452

17(8,1,8)0.00000.66350.88490.0231011.8518951.906149

18(8,1,20)0.00000.02580.00710.0525331.8213041.875558

19(8,1,20)0.00000.04410.02330.0468141.8273211.881575

Digit pertama menunjukan AR (auto-regression)Digit kedua menunjukan different (tadi different pertama)Digit ketiga menunjukan MA (moving average)

MODEL ARIMA(0,1,1)

Dependent Variable: D(IHK)

Method: Least Squares

Date: 06/02/15 Time: 22:14

Sample (adjusted): 2 184

Included observations: 183 after adjustments

Convergence achieved after 6 iterations

MA Backcast: 1

VariableCoefficientStd. Errort-StatisticProb.

C0.4401330.0575777.6442100.0000

MA(1)0.3527370.0695535.0715040.0000

R-squared0.093050Mean dependent var0.440304

Adjusted R-squared0.088039S.D. dependent var0.603596

S.E. of regression0.576414Akaike info criterion1.746888

Sum squared resid60.13786Schwarz criterion1.781965

Log likelihood-157.8403Hannan-Quinn criter.1.761107

F-statistic18.57004Durbin-Watson stat2.060439

Prob(F-statistic)0.000027

Inverted MA Roots-.35

MODEL ARIMA (0,1,8)

Dependent Variable: D(IHK)

Method: Least Squares

Date: 06/02/15 Time: 22:18

Sample (adjusted): 2 184

Included observations: 183 after adjustments

Convergence achieved after 6 iterations

MA Backcast: -6 1

VariableCoefficientStd. Errort-StatisticProb.

C0.4410220.03609212.219540.0000

MA(8)-0.1889670.078769-2.3989930.0175

R-squared0.032963Mean dependent var0.440304

Adjusted R-squared0.027621S.D. dependent var0.603596

S.E. of regression0.595202Akaike info criterion1.811038

Sum squared resid64.12208Schwarz criterion1.846114

Log likelihood-163.7099Hannan-Quinn criter.1.825256

F-statistic6.169770Durbin-Watson stat1.489084

Prob(F-statistic)0.013904

Inverted MA Roots.81.57-.57i.57-.57i.00-.81i

-.00+.81i-.57+.57i-.57-.57i-.81

MODEL ARIMA (0,1,20)

Dependent Variable: D(IHK)

Method: Least Squares

Date: 06/19/15 Time: 22:28

Sample (adjusted): 2 184

Included observations: 183 after adjustments

Convergence achieved after 6 iterations

MA Backcast: -18 1

VariableCoefficientStd. Errort-StatisticProb.

C0.4430150.03487712.702280.0000

MA(20)-0.2368290.079202-2.9902030.0032

R-squared0.034357Mean dependent var0.440304

Adjusted R-squared0.029022S.D. dependent var0.603596

S.E. of regression0.594773Akaike info criterion1.809596

Sum squared resid64.02968Schwarz criterion1.844672

Log likelihood-163.5780Hannan-Quinn criter.1.823814

F-statistic6.439881Durbin-Watson stat1.532866

Prob(F-statistic)0.012002

Inverted MA Roots.93.88+.29i.88-.29i.75-.55i

.75+.55i.55-.75i.55+.75i.29+.88i

.29-.88i.00-.93i-.00+.93i-.29+.88i

-.29-.88i-.55+.75i-.55-.75i-.75-.55i

-.75+.55i-.88-.29i-.88+.29i-.93

MODEL ARIMA (0,1,35)

Dependent Variable: D(IHK)

Method: Least Squares

Date: 06/19/15 Time: 22:32

Sample (adjusted): 2 184

Included observations: 183 after adjustments

Convergence achieved after 7 iterations

MA Backcast: -33 1

VariableCoefficientStd. Errort-StatisticProb.

C0.4464130.0541548.2434160.0000

MA(35)0.2740280.0849953.2240660.0015

R-squared0.039393Mean dependent var0.440304

Adjusted R-squared0.034086S.D. dependent var0.603596

S.E. of regression0.593220Akaike info criterion1.804367

Sum squared resid63.69576Schwarz criterion1.839443

Log likelihood-163.0996Hannan-Quinn criter.1.818585

F-statistic7.422520Durbin-Watson stat1.512324

Prob(F-statistic)0.007073

Inverted MA Roots.96-.09i.96+.09i.93+.26i.93-.26i

.87+.42i.87-.42i.78-.57i.78+.57i

.67+.70i.67-.70i.53-.80i.53+.80i

.38-.89i.38+.89i.21-.94i.21+.94i

.04-.96i.04+.96i-.13+.95i-.13-.95i

-.30+.92i-.30-.92i-.46-.85i-.46+.85i

-.60+.75i-.60-.75i-.73+.63i-.73-.63i

-.83-.49i-.83+.49i-.90+.34i-.90-.34i

-.95+.17i-.95-.17i-.96

MODEL ARIMA (1,1,0)

Dependent Variable: D(IHK)

Method: Least Squares

Date: 06/02/15 Time: 22:22

Sample (adjusted): 3 184

Included observations: 182 after adjustments

Convergence achieved after 3 iterations

VariableCoefficientStd. Errort-StatisticProb.

C0.4433380.0583787.5942140.0000

AR(1)0.2560670.0719513.5589310.0005

R-squared0.065741Mean dependent var0.442575

Adjusted R-squared0.060550S.D. dependent var0.604476

S.E. of regression0.585890Akaike info criterion1.779559

Sum squared resid61.78810Schwarz criterion1.814768

Log likelihood-159.9399Hannan-Quinn criter.1.793832

F-statistic12.66599Durbin-Watson stat1.895399

Prob(F-statistic)0.000476

Inverted AR Roots.26

Model ARIMA (1,1,1)

Dependent Variable: D(IHK)

Method: Least Squares

Date: 06/02/15 Time: 22:26

Sample (adjusted): 3 184

Included observations: 182 after adjustments

Convergence achieved after 7 iterations

MA Backcast: 2

VariableCoefficientStd. Errort-StatisticProb.

C0.4422800.0534308.2776730.0000

AR(1)-0.2761120.188956-1.4612550.1457

MA(1)0.5960220.1580963.7699990.0002

R-squared0.099093Mean dependent var0.442575

Adjusted R-squared0.089027S.D. dependent var0.604476

S.E. of regression0.576942Akaike info criterion1.754196

Sum squared resid59.58231Schwarz criterion1.807009

Log likelihood-156.6319Hannan-Quinn criter.1.775606

F-statistic9.844330Durbin-Watson stat2.006245

Prob(F-statistic)0.000088

Inverted AR Roots-.28

Inverted MA Roots-.60

Model ARIMA (1,1,8)

Dependent Variable: D(IHK)

Method: Least Squares

Date: 06/02/15 Time: 22:32

Sample (adjusted): 3 184

Included observations: 182 after adjustments

Convergence achieved after 7 iterations

MA Backcast: -5 2

VariableCoefficientStd. Errort-StatisticProb.

C0.4433710.0473689.3601770.0000

AR(1)0.2537710.0723253.5087630.0006

MA(8)-0.1842290.079441-2.3190660.0215

R-squared0.095221Mean dependent var0.442575

Adjusted R-squared0.085112S.D. dependent var0.604476

S.E. of regression0.578181Akaike info criterion1.758485

Sum squared resid59.83840Schwarz criterion1.811298

Log likelihood-157.0221Hannan-Quinn criter.1.779895

F-statistic9.419166Durbin-Watson stat1.893911

Prob(F-statistic)0.000129

Inverted AR Roots.25

Inverted MA Roots.81.57-.57i.57-.57i.00+.81i

-.00-.81i-.57-.57i-.57+.57i-.81

MODEL ARIMA (1,1,20)

Dependent Variable: D(IHK)

Method: Least Squares

Date: 06/19/15 Time: 22:39

Sample (adjusted): 3 184

Included observations: 182 after adjustments

Convergence achieved after 7 iterations

MA Backcast: -17 2

VariableCoefficientStd. Errort-StatisticProb.

C0.4454160.0467279.5322750.0000

AR(1)0.2368130.0727883.2534780.0014

MA(20)-0.1954030.080934-2.4143590.0168

R-squared0.088244Mean dependent var0.442575

Adjusted R-squared0.078057S.D. dependent var0.604476

S.E. of regression0.580405Akaike info criterion1.766166

Sum squared resid60.29981Schwarz criterion1.818980

Log likelihood-157.7211Hannan-Quinn criter.1.787576

F-statistic8.662254Durbin-Watson stat1.900227

Prob(F-statistic)0.000257

Inverted AR Roots.24

Inverted MA Roots.92.88+.28i.88-.28i.75-.54i

.75+.54i.54+.75i.54-.75i.28+.88i

.28-.88i.00-.92i-.00+.92i-.28+.88i

-.28-.88i-.54+.75i-.54-.75i-.75-.54i

-.75+.54i-.88-.28i-.88+.28i-.92

MODEL ARIMA (1,1,35)

Dependent Variable: D(IHK)

Method: Least Squares

Date: 06/19/15 Time: 22:46

Sample (adjusted): 3 184

Included observations: 182 after adjustments

Convergence achieved after 6 iterations

MA Backcast: -32 2

VariableCoefficientStd. Errort-StatisticProb.

C0.4489720.0683026.5733350.0000

AR(1)0.2447480.0724303.3790990.0009

MA(35)0.2411130.0866782.7816990.0060

R-squared0.096809Mean dependent var0.442575

Adjusted R-squared0.086717S.D. dependent var0.604476

S.E. of regression0.577673Akaike info criterion1.756728

Sum squared resid59.73339Schwarz criterion1.809542

Log likelihood-156.8623Hannan-Quinn criter.1.778138

F-statistic9.593076Durbin-Watson stat1.899845

Prob(F-statistic)0.000110

Inverted AR Roots.24

Inverted MA Roots.96+.09i.96-.09i.93+.26i.93-.26i

.87-.42i.87+.42i.78+.56i.78-.56i

.66-.69i.66+.69i.53+.80i.53-.80i

.38+.88i.38-.88i.21-.94i.21+.94i

.04-.96i.04+.96i-.13-.95i-.13+.95i

-.30+.91i-.30-.91i-.45+.85i-.45-.85i

-.60+.75i-.60-.75i-.72-.63i-.72+.63i

-.82+.49i-.82-.49i-.90-.34i-.90+.34i

-.94+.17i-.94-.17i-.96

Model ARIMA (2,1,0)

Dependent Variable: D(IHK)

Method: Least Squares

Date: 06/02/15 Time: 22:37

Sample (adjusted): 4 184

Included observations: 181 after adjustments

Convergence achieved after 3 iterations

VariableCoefficientStd. Errort-StatisticProb.

C0.4454820.03954211.266140.0000

AR(2)-0.1296500.073831-1.7560440.0808

R-squared0.016936Mean dependent var0.445974

Adjusted R-squared0.011444S.D. dependent var0.604407

S.E. of regression0.600939Akaike info criterion1.830340

Sum squared resid64.64175Schwarz criterion1.865683

Log likelihood-163.6458Hannan-Quinn criter.1.844669

F-statistic3.083692Durbin-Watson stat1.436149

Prob(F-statistic)0.080791

Model ARIMA (2,1,1)

Dependent Variable: D(IHK)

Method: Least Squares

Date: 06/02/15 Time: 22:42

Sample (adjusted): 4 184

Included observations: 181 after adjustments

Convergence achieved after 5 iterations

MA Backcast: 3

VariableCoefficientStd. Errort-StatisticProb.

C0.4452450.0500658.8933710.0000

AR(2)-0.1165980.077242-1.5095160.1329

MA(1)0.3068140.0742294.1333240.0001

R-squared0.101570Mean dependent var0.445974

Adjusted R-squared0.091476S.D. dependent var0.604407

S.E. of regression0.576100Akaike info criterion1.751363

Sum squared resid59.07656Schwarz criterion1.804377

Log likelihood-155.4984Hannan-Quinn criter.1.772856

F-statistic10.06174Durbin-Watson stat1.998704

Prob(F-statistic)0.000072

Inverted MA Roots-.31

Model ARIMA (2,1,8)

Dependent Variable: D(IHK)

Method: Least Squares

Date: 06/02/15 Time: 22:49

Sample (adjusted): 4 184

Included observations: 181 after adjustments

Convergence achieved after 6 iterations

MA Backcast: -4 3

VariableCoefficientStd. Errort-StatisticProb.

C0.4448680.03171414.027440.0000

AR(2)-0.1360620.074002-1.8386220.0676

MA(8)-0.1912710.079160-2.4162680.0167

R-squared0.050269Mean dependent var0.445974

Adjusted R-squared0.039597S.D. dependent var0.604407

S.E. of regression0.592319Akaike info criterion1.806894

Sum squared resid62.44993Schwarz criterion1.859908

Log likelihood-160.5239Hannan-Quinn criter.1.828387

F-statistic4.710699Durbin-Watson stat1.430844

Prob(F-statistic)0.010150

Inverted MA Roots.81.58-.58i.58-.58i.00+.81i

-.00-.81i-.58-.58i-.58+.58i-.81

MODEL ARIMA (2,1,20)

Dependent Variable: D(IHK)

Method: Least Squares

Date: 06/19/15 Time: 22:51

Sample (adjusted): 4 184

Included observations: 181 after adjustments

Convergence achieved after 6 iterations

MA Backcast: -16 3

VariableCoefficientStd. Errort-StatisticProb.

C0.4466980.02941415.186620.0000

AR(2)-0.1533130.074106-2.0688440.0400

MA(20)-0.2612390.078928-3.3098210.0011

R-squared0.056494Mean dependent var0.445974

Adjusted R-squared0.045893S.D. dependent var0.604407

S.E. of regression0.590375Akaike info criterion1.800317

Sum squared resid62.04054Schwarz criterion1.853331

Log likelihood-159.9287Hannan-Quinn criter.1.821810

F-statistic5.329070Durbin-Watson stat1.473998

Prob(F-statistic)0.005653

Inverted MA Roots.94.89+.29i.89-.29i.76+.55i

.76-.55i.55+.76i.55-.76i.29+.89i

.29-.89i.00-.94i-.00+.94i-.29+.89i

-.29-.89i-.55+.76i-.55-.76i-.76+.55i

-.76-.55i-.89-.29i-.89+.29i-.94

MODEL ARIMA (2,1,35)

Dependent Variable: D(IHK)

Method: Least Squares

Date: 06/19/15 Time: 22:54

Sample (adjusted): 4 184

Included observations: 181 after adjustments

Convergence achieved after 7 iterations

MA Backcast: -31 3

VariableCoefficientStd. Errort-StatisticProb.

C0.4515450.0476839.4696290.0000

AR(2)-0.1342160.074058-1.8122940.0716

MA(35)0.2701910.0849073.1821770.0017

R-squared0.055126Mean dependent var0.445974

Adjusted R-squared0.044510S.D. dependent var0.604407

S.E. of regression0.590803Akaike info criterion1.801767

Sum squared resid62.13052Schwarz criterion1.854780

Log likelihood-160.0599Hannan-Quinn criter.1.823259

F-statistic5.192462Durbin-Watson stat1.459996

Prob(F-statistic)0.006431

Inverted MA Roots.96+.09i.96-.09i.93+.26i.93-.26i

.87+.42i.87-.42i.78-.57i.78+.57i

.67+.70i.67-.70i.53-.80i.53+.80i

.38+.89i.38-.89i.21+.94i.21-.94i

.04-.96i.04+.96i-.13-.95i-.13+.95i

-.30+.92i-.30-.92i-.46+.85i-.46-.85i

-.60+.75i-.60-.75i-.73+.63i-.73-.63i

-.83-.49i-.83+.49i-.90+.34i-.90-.34i

-.95+.17i-.95-.17i-.96

Model ARIMA (8,1,0)

Dependent Variable: D(IHK)

Method: Least Squares

Date: 06/02/15 Time: 22:54

Sample (adjusted): 10 184

Included observations: 175 after adjustments

Convergence achieved after 3 iterations

VariableCoefficientStd. Errort-StatisticProb.

C0.4494060.03816211.776280.0000

AR(8)-0.1970060.079699-2.4718760.0144

R-squared0.034114Mean dependent var0.453234

Adjusted R-squared0.028531S.D. dependent var0.612748

S.E. of regression0.603943Akaike info criterion1.840690

Sum squared resid63.10130Schwarz criterion1.876859

Log likelihood-159.0603Hannan-Quinn criter.1.855361

F-statistic6.110171Durbin-Watson stat1.501390

Prob(F-statistic)0.014408

Inverted AR Roots.75-.31i.75+.31i.31+.75i.31-.75i

-.31+.75i-.31-.75i-.75-.31i-.75+.31i

Model ARIMA (8,1,1)

Dependent Variable: D(IHK)

Method: Least Squares

Date: 06/02/15 Time: 22:58

Sample (adjusted): 10 184

Included observations: 175 after adjustments

Convergence achieved after 6 iterations

MA Backcast: 9

VariableCoefficientStd. Errort-StatisticProb.

C0.4493490.0493399.1073620.0000

AR(8)-0.1999820.079945-2.5015020.0133

MA(1)0.3576840.0714155.0085370.0000

R-squared0.122457Mean dependent var0.453234

Adjusted R-squared0.112253S.D. dependent var0.612748

S.E. of regression0.577333Akaike info criterion1.756199

Sum squared resid57.32988Schwarz criterion1.810452

Log likelihood-150.6674Hannan-Quinn criter.1.778206

F-statistic12.00085Durbin-Watson stat2.076123

Prob(F-statistic)0.000013

Inverted AR Roots.76-.31i.76+.31i.31+.76i.31-.76i

-.31+.76i-.31-.76i-.76-.31i-.76+.31i

Inverted MA Roots-.36

Model ARIMA (8,1,8)

Dependent Variable: D(IHK)

Method: Least Squares

Date: 06/02/15 Time: 23:04

Sample (adjusted): 10 184

Included observations: 175 after adjustments

Convergence achieved after 54 iterations

MA Backcast: 2 9

VariableCoefficientStd. Errort-StatisticProb.

C0.4499230.03803811.828290.0000

AR(8)-0.1490020.341902-0.4358040.6635

MA(8)-0.0503470.347197-0.1450100.8849

R-squared0.034329Mean dependent var0.453234

Adjusted R-squared0.023101S.D. dependent var0.612748

S.E. of regression0.605629Akaike info criterion1.851895

Sum squared resid63.08723Schwarz criterion1.906149

Log likelihood-159.0408Hannan-Quinn criter.1.873902

F-statistic3.057280Durbin-Watson stat1.501573

Prob(F-statistic)0.049579

Inverted AR Roots.73+.30i.73-.30i.30-.73i.30+.73i

-.30+.73i-.30-.73i-.73-.30i-.73+.30i

Inverted MA Roots.69.49+.49i.49-.49i-.00+.69i

-.00-.69i-.49+.49i-.49-.49i-.69

MODEL ARIMA (8,1,20)

Dependent Variable: D(IHK)

Method: Least Squares

Date: 06/19/15 Time: 22:57

Sample (adjusted): 10 184

Included observations: 175 after adjustments

Convergence achieved after 6 iterations

MA Backcast: -10 9

VariableCoefficientStd. Errort-StatisticProb.

C0.4496950.03069814.649080.0000

AR(8)-0.1826200.081193-2.2492220.0258

MA(20)-0.2253550.082663-2.7261830.0071

R-squared0.063423Mean dependent var0.453234

Adjusted R-squared0.052533S.D. dependent var0.612748

S.E. of regression0.596436Akaike info criterion1.821304

Sum squared resid61.18654Schwarz criterion1.875558

Log likelihood-156.3641Hannan-Quinn criter.1.843311

F-statistic5.823738Durbin-Watson stat1.551204

Prob(F-statistic)0.003571

Inverted AR Roots.75+.31i.75-.31i.31-.75i.31+.75i

-.31-.75i-.31+.75i-.75-.31i-.75+.31i

Inverted MA Roots.93.88+.29i.88-.29i.75+.55i

.75-.55i.55-.75i.55+.75i.29-.88i

.29+.88i.00-.93i.00+.93i-.29-.88i

-.29+.88i-.55-.75i-.55+.75i-.75+.55i

-.75-.55i-.88-.29i-.88+.29i-.93

MODEL ARIMA (8,1,35)

Dependent Variable: D(IHK)

Method: Least Squares

Date: 06/19/15 Time: 23:02

Sample (adjusted): 10 184

Included observations: 175 after adjustments

Convergence achieved after 6 iterations

MA Backcast: -25 9

VariableCoefficientStd. Errort-StatisticProb.

C0.4529250.0457209.9064750.0000

AR(8)-0.1631090.080420-2.0282090.0441

MA(35)0.2069310.0903742.2897220.0233

R-squared0.057770Mean dependent var0.453234

Adjusted R-squared0.046814S.D. dependent var0.612748

S.E. of regression0.598233Akaike info criterion1.827321

Sum squared resid61.55583Schwarz criterion1.881575

Log likelihood-156.8906Hannan-Quinn criter.1.849328

F-statistic5.272864Durbin-Watson stat1.505471

Prob(F-statistic)0.005991

Inverted AR Roots.74+.31i.74-.31i.31-.74i.31+.74i

-.31+.74i-.31-.74i-.74-.31i-.74+.31i

Inverted MA Roots.95+.09i.95-.09i.92+.25i.92-.25i

.86-.41i.86+.41i.77+.56i.77-.56i

.66+.69i.66-.69i.53+.80i.53-.80i

.38-.88i.38+.88i.21-.93i.21+.93i

.04+.96i.04-.96i-.13-.95i-.13+.95i

-.30-.91i-.30+.91i-.45+.84i-.45-.84i

-.60-.75i-.60+.75i-.72+.63i-.72-.63i

-.82+.49i-.82-.49i-.90-.34i-.90+.34i

-.94+.17i-.94-.17i-.96