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使用 Durbin-Watson 统计量检验回归模型中的误差是否存在自相关。自相关表示相邻观测值的误差是相关的。如果误差是相关的，那么最小二乘回归可能会低估系数的标准误。低估标准误可能会使并不显著的预测变量显得非常显著。

例如，每日股价数据的回归模型误差可能取决于以前的观测值，因为前一天的股价会影响第二天的股价。

Durbin-Watson 统计量 (D) 以观测值的顺序（行）为条件。Minitab 假设观测值遵循有意义的顺序（如时间顺序）。Durbin-Watson 统计量确定相邻误差项之间的相关性是否为零。

要从检验中得出结论，可以将显示的 Durbin-Watson 统计量值与 Savin 和 White1 提供的下表中正确的下限和上限进行比较。如果 D > DU，表示不存在相关性；如果 D < DL，表示存在正相关性；如果 D 介于上下限之间，则无法从检验中得出结论。该表提供了用于检验一阶正自相关的值。该检验的显著性水平为 0.05。该表适用于具有截距的模型。

还可以使用此表检验一阶负自相关。检验统计量为 (4 – D)。如果 (4 – D) > DU，表示不存在相关性；如果 (4 – D) < DL，表示存在负相关性；如果 (4 – D) 介于上下限之间，则无法从检验中得出结论。2

要计算 Durbin-Watson 统计量，请选择统计 > 回归 > 回归 > 拟合回归模型，单击结果，然后检查Durbin-Watson 统计量。

样本数量

项数（包括截距）

DL

DU

6

2

.61018

1.40015

7

2

.69955

1.35635

7

3

.46723

1.89636

8

2

.7629

1.33238

8

3

.55907

1.77711

8

4

.36744

2.28664

9

2

.82428

1.31988

9

3

.6291

1.69926

9

4

.45476

2.12816

9

5

.29571

2.5881

10

2

.87913

1.31971

10

3

.69715

1.64134

10

4

.52534

2.01632

10

5

.37602

2.41365

10

6

.24269

2.82165

11

2

.92733

1.32409

11

3

.75798

1.60439

11

4

.59477

1.92802

11

5

.44406

2.28327

11

6

.31549

2.64456

11

7

.20253

3.00447

12

2

.97076

1.33137

12

3

.81221

1.57935

12

4

.65765

1.86397

12

5

.51198

2.17662

12

6

.37956

2.50609

12

7

.26813

2.83196

12

8

.17144

3.1494

13

2

1.00973

1.3404

13

3

.86124

1.56212

13

4

.71465

1.81593

13

5

.57446

2.09428

13

6

.44448

2.38967

13

7

.32775

2.69204

13

8

.23049

2.98506

13

9

.14693

3.26577

14

2

1.04495

1.35027

14

3

.90544

1.55066

14

4

.76666

1.77882

14

5

.63206

2.02955

14

6

.50516

2.29593

14

7

.38897

2.57158

14

8

.28559

2.84769

14

9

.20013

3.11121

14

10

.12726

3.36038

15

2

1.07697

1.36054

15

3

.94554

1.54318

15

4

.81396

1.75014

15

5

.68519

1.97735

15

6

.56197

2.21981

15

7

.44707

2.47148

15

8

.3429

2.72698

15

9

.2509

2.97866

15

10

.17531

3.21604

15

11

.11127

3.43819

16

2

1.10617

1.37092

16

3

.98204

1.5386

16

4

.85718

1.72773

16

5

.734

1.93506

16

6

.61495

2.15672

16

7

.50223

2.38813

16

8

.39805

2.62409

16

9

.30433

2.86009

16

10

.22206

3.08954

16

11

.15479

3.30391

16

12

.09809

3.50287

17

2

1.13295

1.38122

17

3

1.01543

1.53614

17

4

.89675

1.71009

17

5

.77898

1.90047

17

6

.66414

2.10414

17

7

.55423

2.31755

17

8

.45107

2.5366

17

9

.35639

2.75688

17

10

.27177

2.97455

17

11

.19784

3.184

17

12

.13763

3.37817

17

13

.08711

3.55716

18

2

1.15759

1.39133

18

3

1.04607

1.53525

18

4

.9331

1.69614

18

5

.82044

1.87189

18

6

.70984

2.06

18

7

.60301

2.2575

18

8

.50158

2.46122

18

9

.40702

2.66753

18

10

.32076

2.87268

18

11

.24405

3.07345

18

12

.17732

3.26497

18

13

.12315

3.44141

18

14

.07786

3.60315

19

2

1.18037

1.40118

19

3

1.0743

1.53553

19

4

.96659

1.68509

19

5

.85876

1.84815

19

6

.75231

2.02262

19

7

.6487

2.20614

19

8

.54938

2.39602

19

9

.45571

2.58939

19

10

.36889

2.78312

19

11

.29008

2.97399

19

12

.22029

3.1593

19

13

.15979

3.33481

19

14

.11082

3.49566

19

15

.07001

3.64241

20

2

1.20149

1.41073

20

3

1.1004

1.53668

20

4

.99755

1.67634

20

5

.89425

1.82828

20

6

.79179

1.99079

20

7

.69146

2.16189

20

8

.59454

2.33937

20

9

.5022

2.52082

20

10

.41559

2.70374

20

11

.33571

2.88535

20

12

.26349

3.06292

20

13

.19978

3.23417

20

14

.14472

3.3954

20

15

.10024

3.5425

20

16

.06327

3.67619

21

2

1.22115

1.41997

21

3

1.12461

1.53849

21

4

1.02624

1.66942

21

5

.92719

1.81157

21

6

.82856

1.9635

21

7

.73149

2.12355

21

8

.6371

2.28988

21

9

.54645

2.46051

21

10

.46055

2.63324

21

11

.38035

2.80588

21

12

.30669

2.976

21

13

.24033

3.14129

21

14

.18198

3.29979

21

15

.13166

3.44827

21

16

.09111

3.58322

21

17

.05747

3.70544

22

2

1.23949

1.42888

22

3

1.14713

1.54079

22

4

1.05292

1.66398

22

5

.95783

1.79744

22

6

.86285

1.93996

22

7

.76898

2.09015

22

8

.67719

2.24646

22

9

.58843

2.40718

22

10

.50363

2.57051

22

11

.42363

2.73452

22

12

.34926

2.89726

22

13

.28119

3.05662

22

14

.22003

3.21061

22

15

.16642

3.35756

22

16

.12028

3.49463

22

17

.08315

3.6188

22

18

.05242

3.73092

23

2

1.25665

1.43747

23

3

1.16815

1.54346

23

4

1.07778

1.65974

23

5

.98639

1.78546

23

6

.89488

1.91958

23

7

.8041

2.06093

23

8

.71493

2.20816

23

9

.62821

2.35988

23

10

.54478

2.51449

23

11

.46541

2.67038

23

12

.39083

2.82585

23

13

.32172

2.97919

23

14

.25866

3.12852

23

15

.20216

3.27216

23

16

.15274

3.40865

23

17

.11029

3.53549

23

18

.07619

3.65007

23

19

.04801

3.75327

24

2

1.27276

1.44575

24

3

1.18781

1.54639

24

4

1.101

1.65649

24

5

1.01309

1.77526

24

6

.92486

1.90184

24

7

.83706

2.03522

24

8

.75048

2.17427

24

9

.66589

2.31774

24

10

.584

2.46431

24

11

.50554

2.6126

24

12

.43119

2.76111

24

13

.36156

2.90835

24

14

.29723

3.05282

24

15

.23869

3.19285

24

16

.18635

3.327

24

17

.14066

3.45402

24

18

.1015

3.57167

24

19

.07006

3.67769

24

20

.04413

3.77297

25

2

1.28791

1.45371

25

3

1.20625

1.54954

25

4

1.12276

1.65403

25

5

1.03811

1.76655

25

6

.95297

1.88634

25

7

.86803

2.01252

25

8

.784

2.14412

25

9

.70154

2.28007

25

10

.62133

2.41924

25

11

.54401

2.56041

25

12

.47019

2.70229

25

13

.40046

2.8436

25

14

.33536

2.983

25

15

.27536

3.11913

25

16

.2209

3.25058

25

17

.17231

3.37604

25

18

.12995

3.49447

25

19

.09371

3.60384

25

20

.06465

3.7022

25

21

.0407

3.79041

26

2

1.30219

1.46139

26

3

1.22358

1.55281

26

4

1.14319

1.65225

26

5

1.06158

1.75911

26

6

.97937

1.87274

26

7

.89717

1.9924

26

8

.81561

2.11722

26

9

.73529

2.24629

26

10

.65683

2.37862

26

11

.58079

2.51315

26

12

.50775

2.64877

26

13

.43825

2.78436

26

14

.37279

2.91872

26

15

.31182

3.05067

26

16

.25578

3.17904

26

17

.20499

3.30253

26

18

.15977

3.42006

26

19

.12041

3.53067

26

20

.08677

3.63257

26

21

.05983

3.72404

27

2

1.31568

1.46878

27

3

1.23991

1.5562

27

4

1.16239

1.65101

27

5

1.08364

1.75274

27

6

1.00421

1.86079

27

7

.92463

1.97449

27

8

.84546

2.09313

27

9

.76726

2.21588

27

10

.69057

2.3419

27

11

.61593

2.47026

27

12

.54385

2.59997

27

13

.47482

2.73007

27

14

.40933

2.8595

27

15

.3478

2.98721

27

16

.29062

3.11215

27

17

.23816

3.23327

27

18

.19072

3.34944

27

19

.14853

3.45967

27

20

.11188

3.56318

27

21

.08057

3.65833

28

2

1.32844

1.47589

28

3

1.25534

1.55964

28

4

1.18051

1.65025

28

5

1.10444

1.74728

28

6

1.02762

1.85022

28

7

.95052

1.95851

28

8

.87366

2.07148

28

9

.79754

2.18844

28

10

.72265

2.30862

28

11

.64947

2.43122

28

12

.57848

2.5554

28

13

.51013

2.68025

28

14

.44486

2.80489

28

15

.38308

2.92838

28

16

.32517

3.04976

28

17

.27146

3.16812

28

18

.22228

3.28249

28

19

.17787

3.39189

28

20

.13843

3.49546

28

21

.10421

3.59248

29

2

1.34054

1.48275

29

3

1.26992

1.56312

29

4

1.19762

1.64987

29

5

1.12407

1.7426

29

6

1.04971

1.84088

29

7

.97499

1.9442

29

8

.90036

2.05196

29

9

.82626

2.16358

29

10

.75316

2.27837

29

11

.68148

2.39562

29

12

.61166

2.51459

29

13

.54413

2.63447

29

14

.47929

2.75449

29

15

.41753

2.87381

29

16

.35918

2.9916

29

17

.30461

3.107

29

18

.25409

3.21917

29

19

.2079

3.32728

29

20

.16625

3.43042

29

21

.12931

3.52786

30

2

1.35204

1.48936

30

3

1.28373

1.56661

30

4

1.2138

1.64981

30

5

1.14262

1.7386

30

6

1.0706

1.83259

30

7

.99815

1.93133

30

8

.92564

2.03432

30

9

.85351

2.14102

30

10

.78217

2.2508

30

11

.71202

2.36307

30

12

.64345

2.47714

30

13

.57685

2.59233

30

14

.51259

2.70793

30

15

.45105

2.82319

30

16

.39255

2.93738

30

17

.3374

3.04971

30

18

.2859

3.15946

30

19

.2383

3.26584

30

20

.19485

3.36811

30

21

.15572

3.46549

31

2

1.36298

1.49574

31

3

1.29685

1.57011

31

4

1.22915

1.65002

31

5

1.16021

1.73518

31

6

1.0904

1.82522

31

7

1.02008

1.91976

31

8

.94962

2.01834

31

9

.8794

2.12046

31

10

.80979

2.22562

31

11

.74115

2.33323

31

12

.67387

2.44273

31

13

.60828

2.55347

31

14

.54474

2.66484

31

15

.48358

2.77618

31

16

.42513

2.8868

31

17

.36966

2.99604

31

18

.31748

3.10322

31

19

.26882

3.20762

31

20

.22392

3.30859

31

21

.18298

3.40545

32

2

1.3734

1.5019

32

3

1.30932

1.57358

32

4

1.24371

1.65046

32

5

1.17688

1.73226

32

6

1.10916

1.81867

32

7

1.04088

1.90931

32

8

.97239

2.00381

32

9

.90401

2.10171

32

10

.83609

2.20255

32

11

.76897

2.30583

32

12

.70299

2.41102

32

13

.63847

2.51758

32

14

.57573

2.62493

32

15

.5151

2.73248

32

16

.45685

2.83963

32

17

.40129

2.94576

32

18

.34866

3.05028

32

19

.29923

3.15253

32

20

.25319

3.25193

32

21

.21078

3.34784

33

2

1.38335

1.50784

33

3

1.32119

1.57703

33

4

1.25756

1.6511

33

5

1.19272

1.72978

33

6

1.12698

1.81282

33

7

1.06065

1.89986

33

8

.99402

1.99057

33

9

.92743

2.08455

33

10

.86115

2.18137

33

11

.79554

2.28061

33

12

.73086

2.38177

33

13

.66745

2.48437

33

14

.60559

2.58789

33

15

.54558

2.69181

33

16

.48769

2.79558

33

17

.43219

2.89865

33

18

.37933

3.00046

33

19

.32935

3.10046

33

20

.28246

3.19808

33

21

.23887

3.29275

34

2

1.39285

1.51358

34

3

1.33251

1.58045

34

4

1.27074

1.65189

34

5

1.20779

1.7277

34

6

1.14393

1.80758

34

7

1.07944

1.89129

34

8

1.01462

1.97849

34

9

.94973

2.06882

34

10

.88506

2.1619

34

11

.82091

2.25735

34

12

.75755

2.35473

34

13

.69527

2.45359

34

14

.63433

2.55348

34

15

.57503

2.65392

34

16

.5176

2.75442

34

17

.46231

2.85449

34

18

.40939

2.95361

34

19

.35907

3.05127

34

20

.31155

3.14697

34

21

.26704

3.2402

35

2

1.40194

1.51914

35

3

1.34332

1.58382

35

4

1.2833

1.65282

35

5

1.22214

1.72593

35

6

1.16007

1.80292

35

7

1.09735

1.88351

35

8

1.03424

1.96743

35

9

.97099

2.05436

35

10

.90788

2.14395

35

11

.84516

2.23585

35

12

.78311

2.32966

35

13

.72197

2.42501

35

14

.662

2.52146

35

15

.60346

2.61858

35

16

.54659

2.71593

35

17

.49162

2.81306

35

18

.43878

2.90951

35

19

.38829

3.00481

35

20

.34034

3.09851

35

21

.29513

3.19013

36

2

1.41065

1.52451

36

3

1.35365

1.58716

36

4

1.2953

1.65387

36

5

1.23583

1.72447

36

6

1.17545

1.79873

36

7

1.11441

1.87643

36

8

1.05294

1.9573

36

9

.99128

2.04104

36

10

.92967

2.12737

36

11

.86836

2.21594

36

12

.80759

2.30642

36

13

.74759

2.39844

36

14

.68861

2.49162

36

15

.63089

2.58557

36

16

.57463

2.6799

36

17

.52008

2.77418

36

18

.46745

2.868

36

19

.41692

2.96095

36

20

.36871

3.05259

36

21

.32299

3.14249

37

2

1.419

1.52971

37

3

1.36354

1.59044

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1.23546

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1.59694

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1.57621

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1.55524

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1.53403

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1.5126

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1.40239

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1.35709

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1.28809

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1.26486

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1.24154

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1.65932

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1.63956

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1.537

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1.29359

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1.27059

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1.2475

2.15149

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1.66103

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1.64147

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1.74015

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1.45469

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1.41096

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1.38885

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1.36658

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1.34417

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1.32164

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1.29899

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1.27622

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1.25335

2.14768

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1.66271

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1.64334

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1.54279

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1.522

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1.50101

1.87101

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1.69183

1.84035

195

9

1.68099

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195

10

1.67005

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195

11

1.65905

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195

12

1.64798

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195

13

1.63683

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195

14

1.62561

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195

15

1.61432

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195

16

1.60296

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195

17

1.59154

1.94487

195

18

1.58005

1.95704

195

19

1.56849

1.9693

195

20

1.55687

1.98166

195

21

1.5452

1.99413

196

2

1.75591

1.7764

196

3

1.74559

1.7868

196

4

1.7352

1.79731

196

5

1.72473

1.80794

196

6

1.71416

1.81869

196

7

1.70352

1.82956

196

8

1.69282

1.84055

196

9

1.68202

1.85164

196

10

1.67115

1.86286

196

11

1.6602

1.87419

196

12

1.64919

1.88563

196

13

1.6381

1.89718

196

14

1.62695

1.90884

196

15

1.61571

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196

16

1.60442

1.93249

196

17

1.59306

1.94447

196

18

1.58164

1.95656

196

19

1.57014

1.96875

196

20

1.55859

1.98104

196

21

1.54697

1.99344

197

2

1.75655

1.77694

197

3

1.74629

1.78728

197

4

1.73595

1.79774

197

5

1.72553

1.80831

197

6

1.71502

1.819

197

7

1.70444

1.82982

197

8

1.69378

1.84074

197

9

1.68305

1.85178

197

10

1.67223

1.86293

197

11

1.66135

1.87419

197

12

1.65039

1.88558

197

13

1.63936

1.89705

197

14

1.62827

1.90865

197

15

1.6171

1.92036

197

16

1.60586

1.93216

197

17

1.59456

1.94408

197

18

1.5832

1.95609

197

19

1.57177

1.96821

197

20

1.56028

1.98043

197

21

1.54873

1.99275

198

2

1.75719

1.77747

198

3

1.74698

1.78776

198

4

1.73669

1.79817

198

5

1.72632

1.80868

198

6

1.71588

1.81932

198

7

1.70534

1.83007

198

8

1.69474

1.84094

198

9

1.68406

1.85192

198

10

1.6733

1.86301

198

11

1.66248

1.8742

198

12

1.65159

1.88552

198

13

1.64061

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198

14

1.62957

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198

15

1.61846

1.9201

198

16

1.6073

1.93184

198

17

1.59605

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198

18

1.58476

1.95563

198

19

1.57338

1.96769

198

20

1.56196

1.97983

198

21

1.55047

1.99208

199

2

1.75781

1.778

199

3

1.74766

1.78824

199

4

1.73743

1.79858

199

5

1.72711

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199

6

1.71671

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199

7

1.70624

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199

8

1.69569

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199

9

1.68507

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199

10

1.67437

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199

11

1.6636

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199

12

1.65277

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199

13

1.64185

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199

14

1.63088

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199

15

1.61983

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199

16

1.60872

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199

17

1.59754

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199

18

1.58629

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199

19

1.57499

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199

20

1.56362

1.97923

199

21

1.5522

1.99141

200

2

1.75844

1.77852

200

3

1.74833

1.78871

200

4

1.73815

1.79901

200

5

1.72789

1.80942

200

6

1.71755

1.81994

200

7

1.70713

1.83057

200

8

1.69663

1.84133

200

9

1.68607

1.85219

200

10

1.67543

1.86316

200

11

1.66471

1.87423

200

12

1.65394

1.88541

200

13

1.64308

1.89671

200

14

1.63216

1.9081

200

15

1.62117

1.91961

200

16

1.61011

1.93122

200

17

1.599

1.94292

200

18

1.58781

1.95473

200

19

1.57657

1.96665

200

20

1.56527

1.97865

200

21

1.5539

1.99075