A group of legislators wanted to look at factors that affect

A group of legislators wanted to look at factors that affect the number of traffic fatalities. They collected some data for 1992 from the National Transportation Safety Board on the number of fatalities for 50 states and the District of Columbia (DC), the number of licensed drivers, the number of registered vehicles, and the number of vehicle miles traveled. Select the Number of Traffic Fatalities as the dependent variable and the Number of licensed drivers (in thousands), the Number of Registered Vehicles (in thousands) and the Number of Vehicle Miles Traveled (in millions) as independent variables.

Set up the hypotheses to test whether the model is significant. Is the regression model significant at 0.05 as the level of significance? What does this mean?

State

Traffic Fatalities

Vehicle Miles Traveled (millions)

Licensed Drivers (thousands)

Registered Vehicles (thousands)

AL

1083

48956

3102

3422

AK

85

4150

443

508

AZ

903

38774

2879

3920

AR

610

24948

1770

1560

CA

4226

271943

20201

21980

CO

585

33705

2620

3144

CT

310

27138

2012

2638

DE

112

7025

512

672

DC

100

3448

366

189

FL

2860

121989

10691

10132

GA

1426

82822

4666

4725

HI

122

7935

791

781

ID

361

11652

779

1173

IL

1554

92316

7029

7692

IN

974

62108

3834

4850

IA

478

25737

1921

3920

KS

442

24678

1794

1965

KY

409

39822

2109

2615

LA

838

37430

2606

7261

ME

201

12469

916

1071

MD

651

44165

3311

2930

MA

440

46990

4209

3956

MI

1419

85183

6819

7599

MN

644

43317

2668

3869

MS

791

28548

1659

2056

MO

1089

57288

3512

4179

MT

202

9116

536

967

NE

271

15466

1102

1490

NV

294

13019

987

983

NH

119

10501

878

1013

NJ

890

60466

5521

5752

NM

447

20480

1162

1472

NY

1782

112970

10444

10428

NC

1431

71928

4779

5462

ND

88

6338

443

687

OH

1371

98200

7722

9647

OK

687

36980

2363

2863

OR

490

29453

2401

2748

PA

1190

92347

8146

8557

RI

63

7095

682

728

SC

847

37245

2458

2764

SD

154

7631

512

845

TN

1214

54524

3583

5150

TX

3186

178348

12012

13287

UT

342

18078

1203

1381

VT

77

6152

435

502

VA

930

67609

4631

5593

WA

638

47428

3741

4654

WV

356

17112

1317

1375

WI

712

50273

3542

4044

WY

144

6689

354

583

State

Traffic Fatalities

Vehicle Miles Traveled (millions)

Licensed Drivers (thousands)

Registered Vehicles (thousands)

AL

1083

48956

3102

3422

AK

85

4150

443

508

AZ

903

38774

2879

3920

AR

610

24948

1770

1560

CA

4226

271943

20201

21980

CO

585

33705

2620

3144

CT

310

27138

2012

2638

DE

112

7025

512

672

DC

100

3448

366

189

FL

2860

121989

10691

10132

GA

1426

82822

4666

4725

HI

122

7935

791

781

ID

361

11652

779

1173

IL

1554

92316

7029

7692

IN

974

62108

3834

4850

IA

478

25737

1921

3920

KS

442

24678

1794

1965

KY

409

39822

2109

2615

LA

838

37430

2606

7261

ME

201

12469

916

1071

MD

651

44165

3311

2930

MA

440

46990

4209

3956

MI

1419

85183

6819

7599

MN

644

43317

2668

3869

MS

791

28548

1659

2056

MO

1089

57288

3512

4179

MT

202

9116

536

967

NE

271

15466

1102

1490

NV

294

13019

987

983

NH

119

10501

878

1013

NJ

890

60466

5521

5752

NM

447

20480

1162

1472

NY

1782

112970

10444

10428

NC

1431

71928

4779

5462

ND

88

6338

443

687

OH

1371

98200

7722

9647

OK

687

36980

2363

2863

OR

490

29453

2401

2748

PA

1190

92347

8146

8557

RI

63

7095

682

728

SC

847

37245

2458

2764

SD

154

7631

512

845

TN

1214

54524

3583

5150

TX

3186

178348

12012

13287

UT

342

18078

1203

1381

VT

77

6152

435

502

VA

930

67609

4631

5593

WA

638

47428

3741

4654

WV

356

17112

1317

1375

WI

712

50273

3542

4044

WY

144

6689

354

583

Solution

Testing of hypothesis for regression slopes

H0: beta1=beta2=beta3=0

Ha: atleast one beta is not 0

-------------------------

b1 = rsy/sx1, b2 = rsy/sx2,....

These are nearly 0

Hence accept null hypothesis.

A group of legislators wanted to look at factors that affect the number of traffic fatalities. They collected some data for 1992 from the National Transportatio
A group of legislators wanted to look at factors that affect the number of traffic fatalities. They collected some data for 1992 from the National Transportatio
A group of legislators wanted to look at factors that affect the number of traffic fatalities. They collected some data for 1992 from the National Transportatio
A group of legislators wanted to look at factors that affect the number of traffic fatalities. They collected some data for 1992 from the National Transportatio
A group of legislators wanted to look at factors that affect the number of traffic fatalities. They collected some data for 1992 from the National Transportatio
A group of legislators wanted to look at factors that affect the number of traffic fatalities. They collected some data for 1992 from the National Transportatio
A group of legislators wanted to look at factors that affect the number of traffic fatalities. They collected some data for 1992 from the National Transportatio
A group of legislators wanted to look at factors that affect the number of traffic fatalities. They collected some data for 1992 from the National Transportatio
A group of legislators wanted to look at factors that affect the number of traffic fatalities. They collected some data for 1992 from the National Transportatio
A group of legislators wanted to look at factors that affect the number of traffic fatalities. They collected some data for 1992 from the National Transportatio

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