Question

A physiological experiment was concluded to study the effect of various factors on a pulse rate. The participants took their own pulse. They then were asked to flip a coin. If their coin came up head, they were to run in place for 1 minute. Then everyone took their own pulse again. The dataset pulse.txt, available from Moodle, contains the following variables:
ROW- id numbers, from 1 to 92;

PULSE1- first pulse rate;

PULSE2- second pulse rate;

RAN-1=ran in place, 2 =did not run;

SMOKES-1=smokes regularly, 2=does not smoke regularly;

SEX-1=male, 2=female;

HEIGHT-height in inches;

WEIGHT-weight in pounds;

ACTIVITY-usual level of physical activity: 1=slight, 2=moderate, 3=a lot.

Use this data for the following questions.
(a) Find the histograms for pulse2, weight and height; Are they symmetrically distributed?

(b) Find the sample mean and sample standard deviation for pulse1.

(c) Construct a scatter plot between weight and height, categorized by male and female. What pattern have you observed?

Pulse.dat:

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1 64 88 1 2 1 66.00 140 2

2 58 70 1 2 1 72.00 145 2

3 62 76 1 1 1 73.50 160 3

4 66 78 1 1 1 73.00 190 1

5 64 80 1 2 1 69.00 155 2

6 74 84 1 2 1 73.00 165 1

7 84 84 1 2 1 72.00 150 3

8 68 72 1 2 1 74.00 190 2

9 62 75 1 2 1 72.00 195 2

10 76 118 1 2 1 71.00 138 2

11 90 94 1 1 1 74.00 160 1

12 80 96 1 2 1 72.00 155 2

13 92 84 1 1 1 70.00 153 3

14 68 76 1 2 1 67.00 145 2

15 60 76 1 2 1 71.00 170 3

16 62 58 1 2 1 72.00 175 3

17 66 82 1 1 1 69.00 175 2

18 70 72 1 1 1 73.00 170 3

19 68 76 1 1 1 74.00 180 2

20 72 80 1 2 1 66.00 135 3

21 70 106 1 2 1 71.00 170 2

22 74 76 1 2 1 70.00 157 2

23 66 102 1 2 1 70.00 130 2

24 70 94 1 1 1 75.00 185 2

25 96 140 1 2 2 61.00 140 2

26 62 100 1 2 2 66.00 120 2

27 78 104 1 1 2 68.00 130 2

28 82 100 1 2 2 68.00 138 2

29 100 115 1 1 2 63.00 121 2

30 68 112 1 2 2 70.00 125 2

31 96 116 1 2 2 68.00 116 2

32 78 118 1 2 2 69.00 145 2

33 88 110 1 1 2 69.00 150 2

34 62 98 1 1 2 62.75 112 2

35 80 128 1 2 2 68.00 125 2

36 62 62 2 2 1 74.00 190 1

37 60 62 2 2 1 71.00 155 2

38 72 74 2 1 1 69.00 170 2

39 62 66 2 2 1 70.00 155 2

40 76 76 2 2 1 72.00 215 2

41 68 66 2 1 1 67.00 150 2

42 54 56 2 1 1 69.00 145 2

43 74 70 2 2 1 73.00 155 3

44 74 74 2 2 1 73.00 155 2

45 68 68 2 2 1 71.00 150 3

46 72 74 2 1 1 68.00 155 3

47 68 64 2 2 1 69.50 150 3

48 82 84 2 1 1 73.00 180 2

49 64 62 2 2 1 75.00 160 3

50 58 58 2 2 1 66.00 135 3

51 54 50 2 2 1 69.00 160 2

52 70 62 2 1 1 66.00 130 2

53 62 68 2 1 1 73.00 155 2

54 48 54 2 1 1 68.00 150 0

55 76 76 2 2 1 74.00 148 3

56 88 84 2 2 1 73.50 155 2

57 70 70 2 2 1 70.00 150 2

58 90 88 2 1 1 67.00 140 2

59 78 76 2 2 1 72.00 180 3

60 70 66 2 1 1 75.00 190 2

61 90 90 2 2 1 68.00 145 1

62 92 94 2 1 1 69.00 150 2

63 60 70 2 1 1 71.50 164 2

64 72 70 2 2 1 71.00 140 2

65 68 68 2 2 1 72.00 142 3

66 84 84 2 2 1 69.00 136 2

67 74 76 2 2 1 67.00 123 2

68 68 66 2 2 1 68.00 155 2

69 84 84 2 2 2 66.00 130 2

70 61 70 2 2 2 65.50 120 2

71 64 60 2 2 2 66.00 130 3

72 94 92 2 1 2 62.00 131 2

73 60 66 2 2 2 62.00 120 2

74 72 70 2 2 2 63.00 118 2

75 58 56 2 2 2 67.00 125 2

76 88 74 2 1 2 65.00 135 2

77 66 72 2 2 2 66.00 125 2

78 84 80 2 2 2 65.00 118 1

79 62 66 2 2 2 65.00 122 3

80 66 76 2 2 2 65.00 115 2

81 80 74 2 2 2 64.00 102 2

82 78 78 2 2 2 67.00 115 2

83 68 68 2 2 2 69.00 150 2

84 72 68 2 2 2 68.00 110 2

85 82 80 2 2 2 63.00 116 1

86 76 76 2 1 2 62.00 108 3

87 87 84 2 2 2 63.00 95 3

88 90 92 2 1 2 64.00 125 1

89 78 80 2 2 2 68.00 133 1

90 68 68 2 2 2 62.00 110 2

91 86 84 2 2 2 67.00 150 3

92 76 76 2 2 2 61.75 108 2

Answer 1