Question

In: Statistics and Probability

1. A doctor’s office wants to predict Body fat based on tight fat content, mid-arm circumference,...

1. A doctor’s office wants to predict Body fat based on tight fat content, mid-arm circumference, and triceps fat electric conductivity. A research was conducted and the following information was obtained.

Fat

Triceps

Midarm

Thigh

11.9

19.5

29.1

43.1

22.8

24.7

28.2

49.8

18.7

30.7

37

51.9

20.1

29.8

31.1

54.3

12.9

19.1

30.9

42.2

21.7

25.6

23.7

53.9

27.1

31.4

27.6

58.5

25.4

27.9

30.6

52.1

21.3

22.1

23.2

49.9

19.3

25.5

24.8

53.5

25.4

31.1

30

56.6

27.2

30.4

28.3

56.7

11.7

18.7

23

46.5

17.8

19.7

28.6

44.2

12.8

14.6

21.3

42.7

23.9

29.5

30.1

54.4

22.6

27.7

25.7

55.3

25.4

30.2

24.6

58.6

14.8

22.7

27.1

48.2

21.1

25.2

27.5

51

  1. Produce a scatter plot matrix (using R) and interpret it. (Identify the relationships between variables)
  2. Produce a correlation matrix (using excel) and confirm your findings in part a.

Solutions

Expert Solution

  1. Produce a scatter plot matrix (using R) and interpret it. (Identify the relationships between variables)

Answer: Using R-Code with Produce a scatter plot matrix

Interpretation :  Strong positive correlation between Triceps and Flat, Thigh and Triceps, Fat and Triceps.

  1. Produce a correlation matrix (using excel) and confirm your findings in part a.

Answer using Excel:

In both outputs there is strong positive correlation between Triceps and Flat, Thigh and Triceps, Fat and Triceps.

Hope this will be helpful. Thanks and God Bless You :)


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