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Body fat percentage and body mass index

Assignment Help Business Economics
Reference no: EM133130549

For your Final Paper,  you will have the opportunity to apply your knowledge for a real data set in order to understand the applicability of all the Statistical tools learned in this course.

Attached is a dataset that lists estimates of the percentage of body fat determined by underwater weighing and various body circumference measurements for 252 men from K.W. Penrose, A.G. Nelson, A.G. Fisher, FACSM, Human Performance Research Center, Brigham Young University, Provo, Utah 84602 as listed in Medicine and Science in Sports and Exercise, vol. 17, no. 2, April 1985, p. 189.

Some experts claim BMI (Body Mass Index) as the most accurate and simple way to determine the effect of weight on your health. Meanwhile, in September 2000, the American Journal of Clinical Nutrition published a study showing that body-fat percentage may be a better measure of your risk of weight-related diseases than BMI.

An important question that arises is whether there is a relationship between 'Body Fat Percentage' and 'Body Mass Index' as a predictor.

Body Mass Index is defined as

With the use of the statistical techniques used in this programme (especially simple linear regression), explain whether BMI can be used to explain the Body Fat percentage for an individual based on the dataset provided. Clearly explain and interpret your results.

Body Fat (%)

Height (m)

Weight(kg)

12.3

1.72085

69.96662

6.1

1.83515

78.58488

25.3

1.68275

69.85322

10.4

1.83515

83.80119

28.7

1.80975

83.57439

20.9

1.89865

95.3678

19.2

1.77165

82.10022

12.4

1.8415

79.83226

4.1

1.8796

86.63614

11.7

1.8669

89.92469

7.1

1.8923

84.48158

7.8

1.9304

97.97595

20.8

1.7653

81.87342

21.2

1.80975

93.09983

22.1

1.7653

85.16197

20.9

1.6764

73.82216

29

1.8034

88.79071

22.9

1.8034

94.9142

16

1.72085

83.3476

16.5

1.8669

96.04818

19.1

1.7272

81.19303

15.2

1.77165

90.94527

15.6

1.73355

63.61633

17.7

1.778

67.47187

14

1.72085

68.60585

3.7

1.8161

72.23458

7.9

1.7145

59.6474

22.9

1.7145

67.13167

3.7

1.64465

60.44118

8.8

1.7526

72.91497

11.9

1.87325

82.55381

5.7

1.80975

72.68818

11.8

1.80975

76.20352

21.3

1.8034

99.10993

32.3

1.8669

112.1507

40.1

1.651

86.97634

24.2

1.778

91.73906

28.4

1.73355

89.2443

35.2

1.83515

164.7221

32.6

1.7018

92.07925

34.5

1.74625

119.1814

32.9

1.7493

92.98644

31.6

1.778

98.42954

32

1.8161

96.16158

7.7

1.7272

56.81244

13.9

1.86055

74.50255

10.8

1.7145

60.55458

5.6

1.80975

67.35847

13.6

1.7399

61.57516

4

1.69545

57.83303

10.2

1.83515

71.78099

6.6

1.7526

63.16274

8

1.72085

62.25555

6.3

1.8669

69.28623

3.9

1.7145

61.80196

22.6

1.8288

89.81129

20.4

1.7272

82.32702

28

1.7653

91.28546

31.5

1.79705

91.85245

24.6

1.67005

81.53323

26.1

1.86055

97.97595

29.8

1.7399

81.07964

30.7

1.78435

87.65673

25.8

1.7018

80.73944

32.3

1.778

93.21323

30

1.7145

83.2342

21.5

1.79705

68.71924

13.8

1.8161

70.19342

6.3

1.75895

70.42022

12.9

1.8161

71.1006

24.3

1.8161

75.97672

8.8

1.74625

66.56468

8.5

1.87325

72.91497

13.5

1.6256

56.69905

11.8

1.67005

64.86371

18.5

1.7145

67.24507

8.8

1.7653

73.70876

22.2

1.7399

80.62604

21.5

1.78435

73.14177

18.8

1.75895

77.67769

31.4

1.72085

74.27575

26.8

1.70815

68.15225

18.4

1.84785

86.29595

27

1.778

77.4509

27

1.75895

76.20352

26.6

1.7145

75.74993

14.9

1.70815

71.5542

23.1

1.67005

72.57478

8.3

1.8415

80.17245

14.1

1.8542

79.83226

20.5

1.778

80.28585

18.2

1.7653

81.53323

8.5

1.7907

74.95614

24.9

1.82245

87.31653

9

1.8923

83.57439

17.4

1.97485

101.8315

9.6

1.86055

85.61556

11.3

1.6891

73.70876

17.8

1.73355

70.98721

22.2

1.8288

89.3577

21.2

1.8669

90.03809

20.4

1.8288

78.81167

20.1

1.80975

78.35808

22.3

1.87325

89.2443

25.4

1.75895

80.28585

18

1.7399

75.06954

19.3

1.8669

90.83187

18.3

1.88595

92.19265

17.3

1.9177

87.99692

21.4

1.75895

76.43031

19.7

1.7399

77.4509

28

1.778

83.1208

22.1

1.778

80.85284

21.3

1.78435

73.93556

26.7

1.82245

79.49206

16.7

1.75895

71.66759

20.1

1.84785

80.39925

13.9

1.8288

81.19303

25.8

1.8796

86.63614

18.1

1.83515

85.04857

27.9

1.8923

93.66682

25.3

1.8161

84.02799

14.7

1.74625

72.68818

16

1.69545

68.71924

13.8

1.6891

73.02837

17.5

1.7018

75.74993

27.2

1.74625

80.51265

17.4

1.72085

69.05944

20.8

1.86055

87.20313

14.9

1.77165

74.95614

18.1

1.8161

77.90449

22.7

1.7907

77.67769

23.6

1.86055

89.3577

26.1

1.69545

71.214

24.4

1.7653

76.31692

27.1

1.77165

84.36818

21.8

1.79705

75.63653

29.4

1.8796

85.16197

22.4

1.80975

76.31692

20.4

1.905

96.50178

24.9

1.8034

80.17245

18.3

1.7653

78.58488

23.3

1.72085

75.74993

9.4

1.83515

72.46138

10.3

1.9685

85.3434

14.2

1.79705

70.76041

19.2

1.84785

94.57401

29.6

1.77165

93.66682

5.3

1.8415

65.2039

25.2

1.78435

101.1511

9.4

1.7526

69.05944

19.6

1.8923

109.656

10.1

1.83515

66.22449

16.5

1.70815

71.1006

21

1.8669

90.83187

17.3

1.91135

77.79109

31.2

1.7526

93.32663

10

1.83515

82.78061

12.5

1.74625

61.91536

22.5

1.8161

80.39925

9.4

1.83515

68.60585

14.6

1.8542

88.9041

13

1.74625

83.57439

15.1

1.7907

63.50293

27.3

1.8288

99.22333

19.2

1.87325

98.42954

21.8

1.7272

75.40973

20.3

1.83515

101.9449

34.3

1.7653

103.5325

16.5

1.7653

78.35808

3

1.72085

69.05944

0.7

1.6637

57.03924

20.5

1.8034

80.39925

16.9

1.8161

79.94566

25.3

1.82245

102.8521

9.9

1.75895

65.88429

13.1

1.7018

68.49245

29.9

1.8161

109.4292

22.5

1.75895

84.93517

16.9

1.8923

106.4808

26.6

1.88595

99.45013

0

1.7272

53.7507

11.5

1.70815

66.11109

12.1

1.77165

72.23458

17.5

1.88595

77.3375

8.6

1.8161

75.97672

23.6

1.88595

105.5736

20.4

1.8288

95.48119

20.5

1.8415

91.73906

24.4

1.73355

83.91459

11.4

1.75895

69.39963

38.1

1.9304

110.7899

15.9

1.7907

87.77012

24.7

1.89865

101.9449

22.8

1.84785

73.82216

25.5

1.73355

81.64663

22

1.7526

70.87381

17.7

1.8161

76.20352

6.6

1.84785

75.86332

23.6

1.7145

77.4509

12.2

1.78435

80.85284

22.1

1.75895

68.03886

28.7

1.8161

90.94527

6

1.8796

83.461

34.8

1.77165

101.1511

16.6

1.8542

94.68741

32.9

1.6637

75.29633

32.8

1.8415

88.45051

9.6

1.78435

72.80158

10.8

1.79705

72.46138

7.1

1.7272

63.72973

27.2

1.8923

98.08935

19.5

1.82245

76.31692

18.7

1.79705

88.33711

19.5

1.8542

78.35808

47.5

1.6256

99.33673

13.6

1.77165

67.69866

7.5

1.778

70.08002

24.5

1.82245

90.37828

15

1.75895

70.08002

12.4

1.7907

69.51303

26

1.83515

104.3262

11.5

1.7145

73.36857

5.2

1.70815

64.52351

10.9

1.74625

81.53323

12.5

1.69545

57.37943

14.8

1.73355

76.88391

25.2

1.88595

90.03809

14.9

1.7653

79.15187

17

1.7399

76.09012

10.6

1.67005

67.01827

16.1

1.82245

82.66721

15.4

1.8161

79.60546

26.7

1.70815

73.36857

25.8

1.7145

71.5542

18.6

1.7145

76.54371

24.8

1.83515

86.86294

27.3

1.7653

99.40477

12.4

1.7653

70.42022

29.9

1.67005

86.06915

17

1.67005

57.83303

35

1.73355

101.8315

30.4

1.8288

106.254

32.6

1.84785

103.3057

29

1.7399

90.49168

15.2

1.75895

70.53361

30.2

1.7907

97.74916

11

1.7018

60.89478

33.6

1.77165

91.17207

29.3

1.6764

84.70838

26

1.7907

86.52274

31.9

1.778

94.12042

Reference no: EM133130549

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