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  • Xt m hnh:

    Thng thng m hnh hi quy cn gi thit Nt khng t tng quan (Nt nhiu trng).Trong phn nay ta xt m hnh hi quy vi Nt c t tng quan.Hi qui vi sai s ARIMA

  • Nu Nt c t tng quan, dng m hnh ARIMA biu din.V d: Biu din Nt bng m hnh ARIMA(1,1,1)Nt gi l sai s, et gi l nhiu.

  • Ly sai phn cc bin:Nt c dng ARMA(1,1):

  • Cc bc xy dng m hnhBc 1: c lng hm hi quy vi m hnh AR(1) hoc AR(2) cho sai s. M hnh ny gi l m hnh i din (proxy model).Bc 2: Nu sai s khng dng, ly sai phn cc bin. Sau lng hm hi quy vi m hnh AR(1) hoc AR(2) cho sai s.

  • Cc bc xy dng m hnhBc 3: Nu sai s dng, xc nh m hnh ARMA ph hp vi sai s.Bc 4: iu chnh ton b m hnh bng cch s dng m hnh ARMA mi cho sai s.Bc 5: Kim tra xem chui et l nhiu trng hay cha.

  • V d 1 Sn lng xe gn my hng nm ca Nht Bn t 1964-1989

    Chart1

    1702

    1876

    2286

    3146

    4086

    4675

    5289

    5811

    6294

    7083

    6552

    6942

    7842

    8514

    9269

    9636

    11043

    11180

    10732

    11112

    11465

    12271

    12260

    12249

    12700

    13026

    sn lng xe gn my

    Sheet1

    119641702

    219651876

    319662286

    419673146

    519684086

    619694675

    719705289

    819715811

    919726294

    1019737083

    1119746552

    1219756942

    1319767842

    1419778514

    1519789269

    1619799636

    17198011043

    18198111180

    19198210732

    20198311112

    21198411465

    22198512271

    23198612260

    24198712249

    25198812700

    198913026

    Sheet1

    sn lng xe gn my

    Sheet2

    Sheet3

  • p dng m hnh tuyn tnh:

    Vi Sai s:

  • ACF v PACF ca sai s cho thy AR(1) l ph hp.

  • p dng AR(1) cho sai s, m hnh cui cng l:Cc tham s c lng

    B SEB T-RATIO PPROX.PROB.AR1 .73632 .14778 4.982435 .00004872TIME 463.56123 30.81985 15.040994 .00000000CONSTANT 1662.42072 501.29920 3.316225 .00301025

  • V d 2:

    Xt s liu v lng du th bn ra hng thng v cc sn phm lin quan M t thng 1-1979 n 12-1991.

  • Chart6

    2.154

    2.25

    2.165

    2.223

    2.19

    2.288

    2.25

    2.251

    2.281

    2.32

    2.285

    2.279

    2.319

    2.396

    2.397

    2.462

    2.368

    2.505

    2.49

    2.553

    2.611

    2.528

    2.618

    2.685

    2.649

    2.723

    2.675

    2.723

    2.781

    2.953

    2.919

    3.017

    3.121

    3.135

    3.425

    3.694

    3.742

    4.173

    4.374

    4.499

    4.725

    4.983

    5.068

    5.104

    5.056

    5.042

    5.116

    4.97

    5.108

    5.266

    5.166

    5.294

    5.313

    5.749

    5.825

    6.317

    6.213

    6.281

    6.426

    6.526

    6.441

    6.757

    6.422

    6.647

    6.534

    6.925

    6.957

    7.057

    7.054

    7.044

    7.087

    7.422

    7.676

    7.871

    7.608

    7.755

    7.757

    7.964

    8.087

    8.083

    8.077

    8.295

    8.137

    8.346

    8.005

    8.151

    8.019

    8.207

    8.273

    8.721

    8.719

    8.925

    9.11

    8.899

    9.074

    9.464

    9.736

    10.32

    10.79

    10.675

    11.403

    12.041

    12.375

    13.378

    14.004

    13.881

    14.469

    15.296

    15.696

    16.522

    16.554

    16.039

    16.394

    16.693

    15.875

    16.218

    16.254

    16.818

    17.647

    17.963

    19.128

    19.425

    18.351

    18.024

    18.629

    19.015

    18.306

    18.988

    18.577

    18.853

    18.366

    18.47

    17.685

    16.917

    15.878

    16.553

    17.669

    18.161

    17.721

    17.377

    17.824

    17.473

    16.793

    16.379

    15.468

    14.425

    15.026

    15.659

    16.073

    17.092

    16.829

    16.896

    16.987

    16.2

    15.864

    16.051

    15.166

    15.294

    16.176

    16.291

    15.918

    16.349

    15.73

    15.551

    16.322

    15.427

    15.418

    15.371

    13.61

    14.16

    14.792

    15.252

    15.221

    15.651

    14.884

    15.253

    14.825

    14.776

    15.449

    15.262

    13.937

    12.002

    10.834

    10.568

    11.049

    10.246

    9.413

    9.682

    9.671

    8.991

    9.224

    9.261

    9.289

    9.333

    9.663

    9.907

    10.318

    10.772

    11.194

    11.176

    10.952

    10.984

    10.699

    10.241

    10.257

    10.047

    10.606

    10.891

    11.16

    11.651

    11.5

    11.713

    11.004

    10.86

    10.853

    10.873

    10.59

    10.728

    11.354

    12.618

    12.712

    13.077

    12.384

    12.35

    12.625

    12.777

    12.357

    12.738

    13.268

    12.571

    12.442

    12.687

    12.995

    13.039

    13.035

    16.683

    18.752

    19.604

    18.201

    16.08

    14.935

    13.261

    12.838

    13.509

    14.352

    14.136

    13.672

    14.394

    14.406

    14.587

    14.271

    12.981

    Petrol

    petrol

    DateChemicalsCoalPetrolVehicles

    01-19713.89649.782.1544.367

    02-19714.34647.0292.255.147

    03-19714.31856.922.1655.418

    04-19714.53654.3362.2234.897

    05-19714.45450.4422.195.002

    06-19714.55449.2982.2885.329

    07-19714.05839.5372.253.537

    08-19714.34256.1852.2513.94

    09-19714.69354.4492.2815.226

    10-19714.38911.8572.325.429

    11-19714.28926.3272.2855.4

    12-19713.99756.0322.2794.446

    01-19724.35349.682.3195.072

    02-19724.60949.1122.3965.707

    03-19724.79454.4382.3975.76

    04-19724.97549.8142.4625.807

    05-19724.85952.8792.3685.865

    06-19725.02750.0832.5055.909

    07-19724.38240.9642.493.681

    08-19724.79852.1692.5533.895

    09-19725.07649.3742.6116.247

    10-19724.97951.6712.5286.629

    11-19724.84550.2972.6186.67

    12-19724.7444.9042.6855.52

    01-19734.88549.3792.6496.71

    02-19735.57945.8932.7237.134

    03-19735.74150.5472.6757.097

    04-19735.9146.9992.7236.741

    05-19735.78451.422.7817.006

    06-19735.96246.6132.9537.169

    07-19735.15243.8012.9195.419

    08-19735.53655.8743.0174.667

    09-19735.76948.3383.1216.227

    10-19735.64354.383.1357.314

    11-19735.6149.8253.4256.928

    12-19735.46348.6683.6944.866

    01-19745.68553.533.7425.611

    02-19746.45249.8514.1735.762

    03-19746.72951.0274.3745.638

    04-19747.09454.1814.4995.891

    05-19746.98757.4484.7256.229

    06-19747.15847.8844.9836.485

    07-19746.5849.2065.0685.169

    08-19747.02651.6045.1045.236

    09-19747.55652.4725.0566.921

    10-19747.20160.2935.0427.703

    11-19746.79133.5245.1166.985

    12-19746.11839.984.974.49

    01-19756.70255.1675.1084.816

    02-19757.37651.8085.2665.254

    03-19757.60952.6035.1665.589

    04-19757.82953.7765.2946.004

    05-19757.55855.9215.3136.037

    06-19757.6256.7865.7496.439

    07-19756.92345.965.8254.82

    08-19757.60751.766.3175.18

    09-19758.00356.0666.2136.589

    10-19757.83860.3966.2816.886

    11-19757.37553.9766.4266.531

    12-19757.28254.8196.5265.888

    01-19767.61552.5686.4416.765

    02-19768.5353.7736.7577.675

    03-19769.10760.9186.4228.295

    04-19769.35859.1456.6478.194

    05-19768.88257.9346.5348.256

    06-19769.01159.686.9259.056

    07-19768.00344.3186.9576.573

    08-19768.62153.6227.0577.162

    09-19769.32460.6347.0547.978

    10-19768.958.9997.0448.005

    11-19768.6558.787.0879.185

    12-19768.14158.4147.4228.236

    01-19778.31444.6797.6768.726

    02-19779.50949.267.8719.364

    03-197710.26466.7767.60810.777

    04-197710.10560.5497.75510.081

    05-19779.84462.4997.75710.112

    06-19779.9363.0957.96411.035

    07-19778.66949.5848.0878.554

    08-19779.46557.7518.0837.826

    09-197710.05569.518.07710.229

    10-19779.467.668.29511.419

    11-19779.17568.9798.13710.501

    12-19779.16131.0028.3469.134

    01-19789.36623.1158.0059.07

    02-197810.30923.528.15110.6

    03-197811.0138.7658.01911.641

    04-197811.43459.538.20711.92

    05-197810.84168.768.27311.78

    06-197811.16165.5658.72112.035

    07-19789.60553.648.7198.645

    08-197810.24164.3958.9259.141

    09-197810.91457.7759.1111.29

    10-197810.70469.868.89912.987

    11-197810.43569.2459.07412.532

    12-197810.42559.639.46410.566

    01-197911.11757.4519.73611.891

    02-197911.70154.52510.3212.956

    03-197913.26866.37910.7913.669

    04-197912.3763.53110.67511.881

    05-197912.95269.05811.40313.167

    06-197913.05970.28712.04111.738

    07-197911.5453.25212.3758.484

    08-197911.95471.18113.3787.283

    09-197912.8464.18914.00410.483

    10-197912.42978.0713.88111.644

    11-197912.20568.03714.46910.048

    12-197912.24160.33915.2968.134

    01-198012.94869.10515.6968.808

    02-198013.64165.1816.52210.054

    03-198014.68270.47316.5549.921

    04-198013.98269.13516.0398.85

    05-198013.21370.53116.3947.78

    06-198013.33870.8316.6937.856

    07-198011.8360.65615.8756.102

    08-198012.80267.8916.2186.416

    09-198014.27668.34416.2549.469

    10-198013.98671.72316.81811.073

    11-198013.36268.1317.6479.935

    12-198014.45771.64717.9638.296

    01-198114.41565.62219.1288.34

    02-198115.12570.44619.4259.406

    03-198116.63877.71818.35110.862

    04-198115.76535.81618.02411.119

    05-198115.56537.82918.62911.43

    06-198116.1461.08319.01512.158

    07-198114.06373.5118.3068.39

    08-198114.73878.24818.9888.53

    09-198115.74381.30318.5779.579

    10-198114.3184.78418.85310.511

    11-198113.82276.02718.3669.14

    12-198114.13375.96618.477.516

    01-198213.83366.44317.6857.148

    02-198214.86170.34416.9178.727

    03-198215.80682.93215.87810.142

    04-198215.13273.15516.55310.538

    05-198215.23770.65617.66910.931

    06-198215.51471.23118.16111.624

    07-198213.09859.86817.7218.605

    08-198214.10272.09117.3778.69

    09-198214.94867.20317.82410.024

    10-198213.26970.06817.4739.432

    11-198213.28463.04316.7938.622

    12-198213.71962.17716.3797.694

    01-198313.51662.45415.4689.703

    02-198314.6460.39414.42511.56

    03-198315.5968.55315.02612.127

    04-198314.76361.55215.65911.729

    05-198315.50162.91616.07312.571

    06-198316.34461.44517.09213.71

    07-198313.93554.90416.8299.897

    08-198315.18872.89116.89611.304

    09-198316.89469.92716.98713.493

    10-198315.55171.3416.214.372

    11-198315.3668.27215.86414.226

    12-198315.92763.35416.05112.593

    01-198415.56367.62215.16614.62

    02-198416.48573.40815.29416.005

    03-198417.59281.23216.17616.683

    04-198417.03672.51116.29115.487

    05-198417.09180.67615.91815.684

    06-198417.86176.09416.34915.962

    07-198415.40874.38115.7312

    08-198416.32990.36515.55113.769

    09-198417.27778.53816.32214.031

    10-198415.85569.41915.42716.078

    11-198415.43464.03915.41815.827

    12-198416.29963.47515.37113.149

    01-198515.91167.92113.6115.969

    02-198516.61866.89714.1616.628

    03-198517.75677.34714.79216.67

    04-198517.13876.24115.25216.487

    05-198516.73977.97915.22116.883

    06-198517.66372.73115.65116.201

    07-198514.9868.82114.88412.168

    08-198515.93379.21215.25314.01

    09-198517.16373.59614.82516.556

    10-198515.90379.71114.77617.404

    11-198515.31468.88115.44916.435

    12-198516.19469.59315.26213.123

    01-198616.24677.80413.93716.744

    02-198616.94372.20912.00217.41

    03-198617.06977.07810.83416.484

    04-198617.3274.33310.56817.103

    05-198616.42172.56811.04917.301

    06-198616.97972.07110.24617.301

    07-198614.74967.2539.41312.843

    08-198616.14175.9129.68213.748

    09-198617.46174.4079.67116.904

    10-198615.93479.4128.99117.342

    11-198615.58169.7749.22415.476

    12-198616.24673.2019.26115.424

    01-198716.39474.4739.28915.988

    02-198717.35371.4479.33319.244

    03-198717.88775.6099.66318.715

    04-198717.78470.7689.90717.78

    05-198717.95970.43610.31817.16

    06-198718.70576.7810.77217.349

    07-198716.47469.42711.19411.171

    08-198717.65280.34811.17613.438

    09-198719.06482.11810.95216.713

    10-198717.7885.6310.98418.369

    11-198717.678.91910.69917.067

    12-198718.05379.24610.24114.055

    01-198819.95775.36410.25715.5

    02-198820.94276.77810.04718.475

    03-198822.34383.96410.60619.423

    04-198822.05375.35110.89118.686

    05-198821.28673.97911.1619.646

    06-198822.50476.44811.65119.733

    07-198820.24369.19811.512.605

    08-198821.89788.20611.71316.616

    09-198822.81683.27211.00419.156

    10-198821.87980.85310.8621.348

    11-198821.67682.97310.85320.049

    12-198822.10280.32410.87318.02

    01-198922.45981.96910.5920.262

    02-198923.13675.0410.72821.789

    03-198923.68688.98111.35420.603

    04-198923.97177.14512.61821.928

    05-198923.24482.48612.71221.025

    06-198924.26478.54413.07719.346

    07-198921.81966.26912.38411.786

    08-198922.66190.82412.3519.082

    09-198923.60284.61812.62520.127

    10-198922.18789.57412.77720.217

    11-198921.80586.96512.35720.385

    12-198922.35372.55412.73816.653

    01-199022.13190.27613.26813.065

    02-199023.1981.75612.57120.275

    03-199024.54891.29212.44221.776

    04-199024.25282.8812.68720.26

    05-199023.50686.212.99522.523

    06-199024.73684.27613.03923.033

    07-199022.04979.53513.03514.133

    08-199024.49391.51516.68320.11

    09-199025.48782.81318.75219.682

    10-199024.2693.07819.60422.197

    11-199023.92986.46118.20117.212

    12-199023.03175.48716.0811.784

    01-199123.70185.8114.93515.467

    02-199124.20582.59213.26117.002

    03-199124.285.01212.83815.952

    04-199124.97179.32413.50918.767

    05-199124.5679.91714.35220.605

    06-199124.99276.89614.13619.809

    07-199122.56679.7213.67214.233

    08-199124.03788.81814.39419.311

    09-199125.04781.50414.40620.827

    10-199124.11590.2314.58723.388

    11-199123.03481.64414.27120.181

    12-199122.5979.24412.98114.344

    acfpacf

    10.3820.38237.098

    20.051-0.11137.76

    3-0.077-0.06639.266

    4-0.186-0.14848.156

    5-0.153-0.03454.198

    6-0.068-0.00655.389

    7-0.071-0.08156.698

    80.0430.07757.171

    90.0810.00958.875

    100.004-0.06158.88

    110.1720.2266.728

    120.2470.14382.947

    130.007-0.15682.959

    14-0.0370.03883.318

    15-0.070.00984.643

    16-0.0770.02286.253

    170.1020.1689.055

    180.068-0.0390.316

    19-0.058-0.10891.231

    200.010.03691.258

    21-0.05-0.03591.94

    220.0060.191.951

    230.089-0.02994.151

    240.011-0.07294.186

    25-0.04-0.00394.626

    260.0350.0694.981

    27-0.03-0.00495.232

    280.0280.0495.455

    290.116099.328

    30-0.016-0.06299.4

    31-0.0340.03899.743

    32-0.136-0.156105.09

    33-0.1570.006112.31

    340.0170.04112.39

    350.045-0.07112.99

    360.0030.041112.99

    0.382

    0.051

    -0.077

    -0.186

    -0.153

    -0.068

    -0.071

    0.043

    0.081

    0.004

    0.172

    0.247

    0.007

    -0.037

    -0.07

    -0.077

    0.102

    0.068

    -0.058

    0.01

    -0.05

    0.006

    0.089

    0.011

    -0.04

    PACF(TRE 25)

    0.382

    -0.111

    -0.066

    -0.148

    -0.034

    -0.006

    -0.081

    0.077

    0.009

    -0.061

    0.22

    0.143

    -0.156

    0.038

    0.009

    0.022

    0.16

    -0.03

    -0.108

    0.036

    -0.035

    0.1

    -0.029

    -0.072

    -0.003

    petrol

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

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    7.094

    6.987

    7.158

    6.58

    7.026

    7.556

    7.201

    6.791

    6.118

    6.702

    7.376

    7.609

    7.829

    7.558

    7.62

    6.923

    7.607

    8.003

    7.838

    7.375

    7.282

    7.615

    8.53

    9.107

    9.358

    8.882

    9.011

    8.003

    8.621

    9.324

    8.9

    8.65

    8.141

    8.314

    9.509

    10.264

    10.105

    9.844

    9.93

    8.669

    9.465

    10.055

    9.4

    9.175

    9.161

    9.366

    10.309

    11.01

    11.434

    10.841

    11.161

    9.605

    10.241

    10.914

    10.704

    10.435

    10.425

    11.117

    11.701

    13.268

    12.37

    12.952

    13.059

    11.54

    11.954

    12.84

    12.429

    12.205

    12.241

    12.948

    13.641

    14.682

    13.982

    13.213

    13.338

    11.83

    12.802

    14.276

    13.986

    13.362

    14.457

    14.415

    15.125

    16.638

    15.765

    15.565

    16.14

    14.063

    14.738

    15.743

    14.31

    13.822

    14.133

    13.833

    14.861

    15.806

    15.132

    15.237

    15.514

    13.098

    14.102

    14.948

    13.269

    13.284

    13.719

    13.516

    14.64

    15.59

    14.763

    15.501

    16.344

    13.935

    15.188

    16.894

    15.551

    15.36

    15.927

    15.563

    16.485

    17.592

    17.036

    17.091

    17.861

    15.408

    16.329

    17.277

    15.855

    15.434

    16.299

    15.911

    16.618

    17.756

    17.138

    16.739

    17.663

    14.98

    15.933

    17.163

    15.903

    15.314

    16.194

    16.246

    16.943

    17.069

    17.32

    16.421

    16.979

    14.749

    16.141

    17.461

    15.934

    15.581

    16.246

    16.394

    17.353

    17.887

    17.784

    17.959

    18.705

    16.474

    17.652

    19.064

    17.78

    17.6

    18.053

    19.957

    20.942

    22.343

    22.053

    21.286

    22.504

    20.243

    21.897

    22.816

    21.879

    21.676

    22.102

    22.459

    23.136

    23.686

    23.971

    23.244

    24.264

    21.819

    22.661

    23.602

    22.187

    21.805

    22.353

    22.131

    23.19

    24.548

    24.252

    23.506

    24.736

    22.049

    24.493

    25.487

    24.26

    23.929

    23.031

    23.701

    24.205

    24.2

    24.971

    24.56

    24.992

    22.566

    24.037

    25.047

    24.115

    23.034

    22.59

    Chemicals

    petrol

    DateChemicalsCoalPetrolVehicles

    01-19713.89649.782.1544.367

    02-19714.34647.0292.255.147

    03-19714.31856.922.1655.418

    04-19714.53654.3362.2234.897

    05-19714.45450.4422.195.002

    06-19714.55449.2982.2885.329

    07-19714.05839.5372.253.537

    08-19714.34256.1852.2513.94

    09-19714.69354.4492.2815.226

    10-19714.38911.8572.325.429

    11-19714.28926.3272.2855.4

    12-19713.99756.0322.2794.446

    01-19724.35349.682.3195.072

    02-19724.60949.1122.3965.707

    03-19724.79454.4382.3975.76

    04-19724.97549.8142.4625.807

    05-19724.85952.8792.3685.865

    06-19725.02750.0832.5055.909

    07-19724.38240.9642.493.681

    08-19724.79852.1692.5533.895

    09-19725.07649.3742.6116.247

    10-19724.97951.6712.5286.629

    11-19724.84550.2972.6186.67

    12-19724.7444.9042.6855.52

    01-19734.88549.3792.6496.71

    02-19735.57945.8932.7237.134

    03-19735.74150.5472.6757.097

    04-19735.9146.9992.7236.741

    05-19735.78451.422.7817.006

    06-19735.96246.6132.9537.169

    07-19735.15243.8012.9195.419

    08-19735.53655.8743.0174.667

    09-19735.76948.3383.1216.227

    10-19735.64354.383.1357.314

    11-19735.6149.8253.4256.928

    12-19735.46348.6683.6944.866

    01-19745.68553.533.7425.611

    02-19746.45249.8514.1735.762

    03-19746.72951.0274.3745.638

    04-19747.09454.1814.4995.891

    05-19746.98757.4484.7256.229

    06-19747.15847.8844.9836.485

    07-19746.5849.2065.0685.169

    08-19747.02651.6045.1045.236

    09-19747.55652.4725.0566.921

    10-19747.20160.2935.0427.703

    11-19746.79133.5245.1166.985

    12-19746.11839.984.974.49

    01-19756.70255.1675.1084.816

    02-19757.37651.8085.2665.254

    03-19757.60952.6035.1665.589

    04-19757.82953.7765.2946.004

    05-19757.55855.9215.3136.037

    06-19757.6256.7865.7496.439

    07-19756.92345.965.8254.82

    08-19757.60751.766.3175.18

    09-19758.00356.0666.2136.589

    10-19757.83860.3966.2816.886

    11-19757.37553.9766.4266.531

    12-19757.28254.8196.5265.888

    01-19767.61552.5686.4416.765

    02-19768.5353.7736.7577.675

    03-19769.10760.9186.4228.295

    04-19769.35859.1456.6478.194

    05-19768.88257.9346.5348.256

    06-19769.01159.686.9259.056

    07-19768.00344.3186.9576.573

    08-19768.62153.6227.0577.162

    09-19769.32460.6347.0547.978

    10-19768.958.9997.0448.005

    11-19768.6558.787.0879.185

    12-19768.14158.4147.4228.236

    01-19778.31444.6797.6768.726

    02-19779.50949.267.8719.364

    03-197710.26466.7767.60810.777

    04-197710.10560.5497.75510.081

    05-19779.84462.4997.75710.112

    06-19779.9363.0957.96411.035

    07-19778.66949.5848.0878.554

    08-19779.46557.7518.0837.826

    09-197710.05569.518.07710.229

    10-19779.467.668.29511.419

    11-19779.17568.9798.13710.501

    12-19779.16131.0028.3469.134

    01-19789.36623.1158.0059.07

    02-197810.30923.528.15110.6

    03-197811.0138.7658.01911.641

    04-197811.43459.538.20711.92

    05-197810.84168.768.27311.78

    06-197811.16165.5658.72112.035

    07-19789.60553.648.7198.645

    08-197810.24164.3958.9259.141

    09-197810.91457.7759.1111.29

    10-197810.70469.868.89912.987

    11-197810.43569.2459.07412.532

    12-197810.42559.639.46410.566

    01-197911.11757.4519.73611.891

    02-197911.70154.52510.3212.956

    03-197913.26866.37910.7913.669

    04-197912.3763.53110.67511.881

    05-197912.95269.05811.40313.167

    06-197913.05970.28712.04111.738

    07-197911.5453.25212.3758.484

    08-197911.95471.18113.3787.283

    09-197912.8464.18914.00410.483

    10-197912.42978.0713.88111.644

    11-197912.20568.03714.46910.048

    12-197912.24160.33915.2968.134

    01-198012.94869.10515.6968.808

    02-198013.64165.1816.52210.054

    03-198014.68270.47316.5549.921

    04-198013.98269.13516.0398.85

    05-198013.21370.53116.3947.78

    06-198013.33870.8316.6937.856

    07-198011.8360.65615.8756.102

    08-198012.80267.8916.2186.416

    09-198014.27668.34416.2549.469

    10-198013.98671.72316.81811.073

    11-198013.36268.1317.6479.935

    12-198014.45771.64717.9638.296

    01-198114.41565.62219.1288.34

    02-198115.12570.44619.4259.406

    03-198116.63877.71818.35110.862

    04-198115.76535.81618.02411.119

    05-198115.56537.82918.62911.43

    06-198116.1461.08319.01512.158

    07-198114.06373.5118.3068.39

    08-198114.73878.24818.9888.53

    09-198115.74381.30318.5779.579

    10-198114.3184.78418.85310.511

    11-198113.82276.02718.3669.14

    12-198114.13375.96618.477.516

    01-198213.83366.44317.6857.148

    02-198214.86170.34416.9178.727

    03-198215.80682.93215.87810.142

    04-198215.13273.15516.55310.538

    05-198215.23770.65617.66910.931

    06-198215.51471.23118.16111.624

    07-198213.09859.86817.7218.605

    08-198214.10272.09117.3778.69

    09-198214.94867.20317.82410.024

    10-198213.26970.06817.4739.432

    11-198213.28463.04316.7938.622

    12-198213.71962.17716.3797.694

    01-198313.51662.45415.4689.703

    02-198314.6460.39414.42511.56

    03-198315.5968.55315.02612.127

    04-198314.76361.55215.65911.729

    05-198315.50162.91616.07312.571

    06-198316.34461.44517.09213.71

    07-198313.93554.90416.8299.897

    08-198315.18872.89116.89611.304

    09-198316.89469.92716.98713.493

    10-198315.55171.3416.214.372

    11-198315.3668.27215.86414.226

    12-198315.92763.35416.05112.593

    01-198415.56367.62215.16614.62

    02-198416.48573.40815.29416.005

    03-198417.59281.23216.17616.683

    04-198417.03672.51116.29115.487

    05-198417.09180.67615.91815.684

    06-198417.86176.09416.34915.962

    07-198415.40874.38115.7312

    08-198416.32990.36515.55113.769

    09-198417.27778.53816.32214.031

    10-198415.85569.41915.42716.078

    11-198415.43464.03915.41815.827

    12-198416.29963.47515.37113.149

    01-198515.91167.92113.6115.969

    02-198516.61866.89714.1616.628

    03-198517.75677.34714.79216.67

    04-198517.13876.24115.25216.487

    05-198516.73977.97915.22116.883

    06-198517.66372.73115.65116.201

    07-198514.9868.82114.88412.168

    08-198515.93379.21215.25314.01

    09-198517.16373.59614.82516.556

    10-198515.90379.71114.77617.404

    11-198515.31468.88115.44916.435

    12-198516.19469.59315.26213.123

    01-198616.24677.80413.93716.744

    02-198616.94372.20912.00217.41

    03-198617.06977.07810.83416.484

    04-198617.3274.33310.56817.103

    05-198616.42172.56811.04917.301

    06-198616.97972.07110.24617.301

    07-198614.74967.2539.41312.843

    08-198616.14175.9129.68213.748

    09-198617.46174.4079.67116.904

    10-198615.93479.4128.99117.342

    11-198615.58169.7749.22415.476

    12-198616.24673.2019.26115.424

    01-198716.39474.4739.28915.988

    02-198717.35371.4479.33319.244

    03-198717.88775.6099.66318.715

    04-198717.78470.7689.90717.78

    05-198717.95970.43610.31817.16

    06-198718.70576.7810.77217.349

    07-198716.47469.42711.19411.171

    08-198717.65280.34811.17613.438

    09-198719.06482.11810.95216.713

    10-198717.7885.6310.98418.369

    11-198717.678.91910.69917.067

    12-198718.05379.24610.24114.055

    01-198819.95775.36410.25715.5

    02-198820.94276.77810.04718.475

    03-198822.34383.96410.60619.423

    04-198822.05375.35110.89118.686

    05-198821.28673.97911.1619.646

    06-198822.50476.44811.65119.733

    07-198820.24369.19811.512.605

    08-198821.89788.20611.71316.616

    09-198822.81683.27211.00419.156

    10-198821.87980.85310.8621.348

    11-198821.67682.97310.85320.049

    12-198822.10280.32410.87318.02

    01-198922.45981.96910.5920.262

    02-198923.13675.0410.72821.789

    03-198923.68688.98111.35420.603

    04-198923.97177.14512.61821.928

    05-198923.24482.48612.71221.025

    06-198924.26478.54413.07719.346

    07-198921.81966.26912.38411.786

    08-198922.66190.82412.3519.082

    09-198923.60284.61812.62520.127

    10-198922.18789.57412.77720.217

    11-198921.80586.96512.35720.385

    12-198922.35372.55412.73816.653

    01-199022.13190.27613.26813.065

    02-199023.1981.75612.57120.275

    03-199024.54891.29212.44221.776

    04-199024.25282.8812.68720.26

    05-199023.50686.212.99522.523

    06-199024.73684.27613.03923.033

    07-199022.04979.53513.03514.133

    08-199024.49391.51516.68320.11

    09-199025.48782.81318.75219.682

    10-199024.2693.07819.60422.197

    11-199023.92986.46118.20117.212

    12-199023.03175.48716.0811.784

    01-199123.70185.8114.93515.467

    02-199124.20582.59213.26117.002

    03-199124.285.01212.83815.952

    04-199124.97179.32413.50918.767

    05-199124.5679.91714.35220.605

    06-199124.99276.89614.13619.809

    07-199122.56679.7213.67214.233

    08-199124.03788.81814.39419.311

    09-199125.04781.50414.40620.827

    10-199124.11590.2314.58723.388

    11-199123.03481.64414.27120.181

    12-199122.5979.24412.98114.344

    acfpacf

    10.3820.38237.098

    20.051-0.11137.76

    3-0.077-0.06639.266

    4-0.186-0.14848.156

    5-0.153-0.03454.198

    6-0.068-0.00655.389

    7-0.071-0.08156.698

    80.0430.07757.171

    90.0810.00958.875

    100.004-0.06158.88

    110.1720.2266.728

    120.2470.14382.947

    130.007-0.15682.959

    14-0.0370.03883.318

    15-0.070.00984.643

    16-0.0770.02286.253

    170.1020.1689.055

    180.068-0.0390.316

    19-0.058-0.10891.231

    200.010.03691.258

    21-0.05-0.03591.94

    220.0060.191.951

    230.089-0.02994.151

    240.011-0.07294.186

    25-0.04-0.00394.626

    260.0350.0694.981

    27-0.03-0.00495.232

    280.0280.0495.455

    290.116099.328

    30-0.016-0.06299.4

    31-0.0340.03899.743

    32-0.136-0.156105.09

    33-0.1570.006112.31

    340.0170.04112.39

    350.045-0.07112.99

    360.0030.041112.99

    0.382

    0.051

    -0.077

    -0.186

    -0.153

    -0.068

    -0.071

    0.043

    0.081

    0.004

    0.172

    0.247

    0.007

    -0.037

    -0.07

    -0.077

    0.102

    0.068

    -0.058

    0.01

    -0.05

    0.006

    0.089

    0.011

    -0.04

    PACF(TRE 25)

    0.382

    -0.111

    -0.066

    -0.148

    -0.034

    -0.006

    -0.081

    0.077

    0.009

    -0.061

    0.22

    0.143

    -0.156

    0.038

    0.009

    0.022

    0.16

    -0.03

    -0.108

    0.036

    -0.035

    0.1

    -0.029

    -0.072

    -0.003

    petrol

    0

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    0

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    chemicals

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    79.917

    76.896

    79.72

    88.818

    81.504

    90.23

    81.644

    79.244

    Coal

    petrol

    DateChemicalsCoalPetrolVehicles

    01-19713.89649.782.1544.367

    02-19714.34647.0292.255.147

    03-19714.31856.922.1655.418

    04-19714.53654.3362.2234.897

    05-19714.45450.4422.195.002

    06-19714.55449.2982.2885.329

    07-19714.05839.5372.253.537

    08-19714.34256.1852.2513.94

    09-19714.69354.4492.2815.226

    10-19714.38911.8572.325.429

    11-19714.28926.3272.2855.4

    12-19713.99756.0322.2794.446

    01-19724.35349.682.3195.072

    02-19724.60949.1122.3965.707

    03-19724.79454.4382.3975.76

    04-19724.97549.8142.4625.807

    05-19724.85952.8792.3685.865

    06-19725.02750.0832.5055.909

    07-19724.38240.9642.493.681

    08-19724.79852.1692.5533.895

    09-19725.07649.3742.6116.247

    10-19724.97951.6712.5286.629

    11-19724.84550.2972.6186.67

    12-19724.7444.9042.6855.52

    01-19734.88549.3792.6496.71

    02-19735.57945.8932.7237.134

    03-19735.74150.5472.6757.097

    04-19735.9146.9992.7236.741

    05-19735.78451.422.7817.006

    06-19735.96246.6132.9537.169

    07-19735.15243.8012.9195.419

    08-19735.53655.8743.0174.667

    09-19735.76948.3383.1216.227

    10-19735.64354.383.1357.314

    11-19735.6149.8253.4256.928

    12-19735.46348.6683.6944.866

    01-19745.68553.533.7425.611

    02-19746.45249.8514.1735.762

    03-19746.72951.0274.3745.638

    04-19747.09454.1814.4995.891

    05-19746.98757.4484.7256.229

    06-19747.15847.8844.9836.485

    07-19746.5849.2065.0685.169

    08-19747.02651.6045.1045.236

    09-19747.55652.4725.0566.921

    10-19747.20160.2935.0427.703

    11-19746.79133.5245.1166.985

    12-19746.11839.984.974.49

    01-19756.70255.1675.1084.816

    02-19757.37651.8085.2665.254

    03-19757.60952.6035.1665.589

    04-19757.82953.7765.2946.004

    05-19757.55855.9215.3136.037

    06-19757.6256.7865.7496.439

    07-19756.92345.965.8254.82

    08-19757.60751.766.3175.18

    09-19758.00356.0666.2136.589

    10-19757.83860.3966.2816.886

    11-19757.37553.9766.4266.531

    12-19757.28254.8196.5265.888

    01-19767.61552.5686.4416.765

    02-19768.5353.7736.7577.675

    03-19769.10760.9186.4228.295

    04-19769.35859.1456.6478.194

    05-19768.88257.9346.5348.256

    06-19769.01159.686.9259.056

    07-19768.00344.3186.9576.573

    08-19768.62153.6227.0577.162

    09-19769.32460.6347.0547.978

    10-19768.958.9997.0448.005

    11-19768.6558.787.0879.185

    12-19768.14158.4147.4228.236

    01-19778.31444.6797.6768.726

    02-19779.50949.267.8719.364

    03-197710.26466.7767.60810.777

    04-197710.10560.5497.75510.081

    05-19779.84462.4997.75710.112

    06-19779.9363.0957.96411.035

    07-19778.66949.5848.0878.554

    08-19779.46557.7518.0837.826

    09-197710.05569.518.07710.229

    10-19779.467.668.29511.419

    11-19779.17568.9798.13710.501

    12-19779.16131.0028.3469.134

    01-19789.36623.1158.0059.07

    02-197810.30923.528.15110.6

    03-197811.0138.7658.01911.641

    04-197811.43459.538.20711.92

    05-197810.84168.768.27311.78

    06-197811.16165.5658.72112.035

    07-19789.60553.648.7198.645

    08-197810.24164.3958.9259.141

    09-197810.91457.7759.1111.29

    10-197810.70469.868.89912.987

    11-197810.43569.2459.07412.532

    12-197810.42559.639.46410.566

    01-197911.11757.4519.73611.891

    02-197911.70154.52510.3212.956

    03-197913.26866.37910.7913.669

    04-197912.3763.53110.67511.881

    05-197912.95269.05811.40313.167

    06-197913.05970.28712.04111.738

    07-197911.5453.25212.3758.484

    08-197911.95471.18113.3787.283

    09-197912.8464.18914.00410.483

    10-197912.42978.0713.88111.644

    11-197912.20568.03714.46910.048

    12-197912.24160.33915.2968.134

    01-198012.94869.10515.6968.808

    02-198013.64165.1816.52210.054

    03-198014.68270.47316.5549.921

    04-198013.98269.13516.0398.85

    05-198013.21370.53116.3947.78

    06-198013.33870.8316.6937.856

    07-198011.8360.65615.8756.102

    08-198012.80267.8916.2186.416

    09-198014.27668.34416.2549.469

    10-198013.98671.72316.81811.073

    11-198013.36268.1317.6479.935

    12-198014.45771.64717.9638.296

    01-198114.41565.62219.1288.34

    02-198115.12570.44619.4259.406

    03-198116.63877.71818.35110.862

    04-198115.76535.81618.02411.119

    05-198115.56537.82918.62911.43

    06-198116.1461.08319.01512.158

    07-198114.06373.5118.3068.39

    08-198114.73878.24818.9888.53

    09-198115.74381.30318.5779.579

    10-198114.3184.78418.85310.511

    11-198113.82276.02718.3669.14

    12-198114.13375.96618.477.516

    01-198213.83366.44317.6857.148

    02-198214.86170.34416.9178.727

    03-198215.80682.93215.87810.142

    04-198215.13273.15516.55310.538

    05-198215.23770.65617.66910.931

    06-198215.51471.23118.16111.624

    07-198213.09859.86817.7218.605

    08-198214.10272.09117.3778.69

    09-198214.94867.20317.82410.024

    10-198213.26970.06817.4739.432

    11-198213.28463.04316.7938.622

    12-198213.71962.17716.3797.694

    01-198313.51662.45415.4689.703

    02-198314.6460.39414.42511.56

    03-198315.5968.55315.02612.127

    04-198314.76361.55215.65911.729

    05-198315.50162.91616.07312.571

    06-198316.34461.44517.09213.71

    07-198313.93554.90416.8299.897

    08-198315.18872.89116.89611.304

    09-198316.89469.92716.98713.493

    10-198315.55171.3416.214.372

    11-198315.3668.27215.86414.226

    12-198315.92763.35416.05112.593

    01-198415.56367.62215.16614.62

    02-198416.48573.40815.29416.005

    03-198417.59281.23216.17616.683

    04-198417.03672.51116.29115.487

    05-198417.09180.67615.91815.684

    06-198417.86176.09416.34915.962

    07-198415.40874.38115.7312

    08-198416.32990.36515.55113.769

    09-198417.27778.53816.32214.031

    10-198415.85569.41915.42716.078

    11-198415.43464.03915.41815.827

    12-198416.29963.47515.37113.149

    01-198515.91167.92113.6115.969

    02-198516.61866.89714.1616.628

    03-198517.75677.34714.79216.67

    04-198517.13876.24115.25216.487

    05-198516.73977.97915.22116.883

    06-198517.66372.73115.65116.201

    07-198514.9868.82114.88412.168

    08-198515.93379.21215.25314.01

    09-198517.16373.59614.82516.556

    10-198515.90379.71114.77617.404

    11-198515.31468.88115.44916.435

    12-198516.19469.59315.26213.123

    01-198616.24677.80413.93716.744

    02-198616.94372.20912.00217.41

    03-198617.06977.07810.83416.484

    04-198617.3274.33310.56817.103

    05-198616.42172.56811.04917.301

    06-198616.97972.07110.24617.301

    07-198614.74967.2539.41312.843

    08-198616.14175.9129.68213.748

    09-198617.46174.4079.67116.904

    10-198615.93479.4128.99117.342

    11-198615.58169.7749.22415.476

    12-198616.24673.2019.26115.424

    01-198716.39474.4739.28915.988

    02-198717.35371.4479.33319.244

    03-198717.88775.6099.66318.715

    04-198717.78470.7689.90717.78

    05-198717.95970.43610.31817.16

    06-198718.70576.7810.77217.349

    07-198716.47469.42711.19411.171

    08-198717.65280.34811.17613.438

    09-198719.06482.11810.95216.713

    10-198717.7885.6310.98418.369

    11-198717.678.91910.69917.067

    12-198718.05379.24610.24114.055

    01-198819.95775.36410.25715.5

    02-198820.94276.77810.04718.475

    03-198822.34383.96410.60619.423

    04-198822.05375.35110.89118.686

    05-198821.28673.97911.1619.646

    06-198822.50476.44811.65119.733

    07-198820.24369.19811.512.605

    08-198821.89788.20611.71316.616

    09-198822.81683.27211.00419.156

    10-198821.87980.85310.8621.348

    11-198821.67682.97310.85320.049

    12-198822.10280.32410.87318.02

    01-198922.45981.96910.5920.262

    02-198923.13675.0410.72821.789

    03-198923.68688.98111.35420.603

    04-198923.97177.14512.61821.928

    05-198923.24482.48612.71221.025

    06-198924.26478.54413.07719.346

    07-198921.81966.26912.38411.786

    08-198922.66190.82412.3519.082

    09-198923.60284.61812.62520.127

    10-198922.18789.57412.77720.217

    11-198921.80586.96512.35720.385

    12-198922.35372.55412.73816.653

    01-199022.13190.27613.26813.065

    02-199023.1981.75612.57120.275

    03-199024.54891.29212.44221.776

    04-199024.25282.8812.68720.26

    05-199023.50686.212.99522.523

    06-199024.73684.27613.03923.033

    07-199022.04979.53513.03514.133

    08-199024.49391.51516.68320.11

    09-199025.48782.81318.75219.682

    10-199024.2693.07819.60422.197

    11-199023.92986.46118.20117.212

    12-199023.03175.48716.0811.784

    01-199123.70185.8114.93515.467

    02-199124.20582.59213.26117.002

    03-199124.285.01212.83815.952

    04-199124.97179.32413.50918.767

    05-199124.5679.91714.35220.605

    06-199124.99276.89614.13619.809

    07-199122.56679.7213.67214.233

    08-199124.03788.81814.39419.311

    09-199125.04781.50414.40620.827

    10-199124.11590.2314.58723.388

    11-199123.03481.64414.27120.181

    12-199122.5979.24412.98114.344

    acfpacf

    10.3820.38237.098

    20.051-0.11137.76

    3-0.077-0.06639.266

    4-0.186-0.14848.156

    5-0.153-0.03454.198

    6-0.068-0.00655.389

    7-0.071-0.08156.698

    80.0430.07757.171

    90.0810.00958.875

    100.004-0.06158.88

    110.1720.2266.728

    120.2470.14382.947

    130.007-0.15682.959

    14-0.0370.03883.318

    15-0.070.00984.643

    16-0.0770.02286.253

    170.1020.1689.055

    180.068-0.0390.316

    19-0.058-0.10891.231

    200.010.03691.258

    21-0.05-0.03591.94

    220.0060.191.951

    230.089-0.02994.151

    240.011-0.07294.186

    25-0.04-0.00394.626

    260.0350.0694.981

    27-0.03-0.00495.232

    280.0280.0495.455

    290.116099.328

    30-0.016-0.06299.4

    31-0.0340.03899.743

    32-0.136-0.156105.09

    33-0.1570.006112.31

    340.0170.04112.39

    350.045-0.07112.99

    360.0030.041112.99

    0.382

    0.051

    -0.077

    -0.186

    -0.153

    -0.068

    -0.071

    0.043

    0.081

    0.004

    0.172

    0.247

    0.007

    -0.037

    -0.07

    -0.077

    0.102

    0.068

    -0.058

    0.01

    -0.05

    0.006

    0.089

    0.011

    -0.04

    PACF(TRE 25)

    0.382

    -0.111

    -0.066

    -0.148

    -0.034

    -0.006

    -0.081

    0.077

    0.009

    -0.061

    0.22

    0.143

    -0.156

    0.038

    0.009

    0.022

    0.16

    -0.03

    -0.108

    0.036

    -0.035

    0.1

    -0.029

    -0.072

    -0.003

    petrol

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

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    0

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    0

    0

    0

    0

    0

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    0

    0

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    0

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    coal

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