Correlation between the resting and after exercising

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Reference no: EM133110015

Run a correlation between the resting and after exercising heart rates to determine if a linear relationship exists between the two variables and how strong the relationship is.

Steps

  1. Open the Heart Rate Dataset in Excel and identify the X-variable (resting heart rates for all 200 participants) and the Y-variable (after exercise heart rates for all 200 participants).
  2. Use the Scatter Plot function in the Insert Charts section of Excel to create a scatter plot of the X and Y variables
  3. Add a trendline to the scatter plot
  4. Use the Data Analysis tools in Excel to find the regression equation.
  5. In a Word document, describe the relationship between the X-variable (resting heart rate)and the Y-variable (after exercise heart rate).
    • Graph the scatter plot with a trend line. Does it appear there is a linear relationship?  What does this mean?
    • Calculate the correlation coefficient r using excel. Is this r (value) high compared to +1?  Based on the correlation coefficient is the relationship strong?
    • Use excel to find the regression equation. Identify the slope.  What does it tell us in terms of our heart rate data?

Heart rate before and after exercise

M=0 F=1

Resting 

After Exercise

0

55.0 

65.0 

0

67.7 

79.4 

0

80.3 

93.4 

0

85.2 

97.7 

0

86.3 

99.7 

0

76.6 

83.7 

0

94.4 

101.9 

0

86.4 

100.6 

0

83.4 

97.4 

0

89.8 

97.4 

0

88.7 

97.1 

0

78.4 

87.2 

0

67.0 

79.9 

0

85.0 

100.0 

0

86.2 

95.9 

0

83.9 

93.9 

0

78.1 

87.2 

0

64.0 

70.7 

0

72.8 

86.7 

0

65.0 

75.0 

0

80.2 

83.3 

0

78.2 

86.0 

0

62.0 

88.0 

0

75.5 

84.4 

0

82.7 

89.1 

0

87.7 

95.1 

0

76.0 

88.7 

0

73.4 

82.7 

0

80.1 

94.6 

0

77.6 

84.6 

0

76.6 

86.4 

0

85.6 

96.2 

0

74.2 

82.1 

0

79.0 

91.6 

0

74.6 

86.7 

0

88.8 

98.8 

0

82.1 

85.6 

0

77.6 

80.6 

0

77.9 

83.8 

0

72.0 

93.9 

0

81.6 

90.3 

0

91.2 

100.6 

0

80.3 

88.0 

0

76.7 

91.8 

0

88.4 

103.0 

0

75.2 

86.5 

0

75.2 

84.9 

0

73.1 

71.9 

0

77.0 

84.7 

0

59.0 

68.2 

0

84.9 

96.0 

0

87.5 

105.9 

0

75.6 

84.3 

0

84.0 

90.4 

0

78.2 

94.0 

0

86.6 

90.6 

0

84.9 

95.1 

0

78.8 

90.4 

0

69.4 

82.6 

0

78.3 

91.1 

0

76.9 

92.3 

0

84.2 

87.9 

0

76.3 

85.9 

0

86.3 

99.7 

0

72.3 

80.9 

0

81.8 

93.8 

0

92.8 

99.8 

0

74.8 

90.2 

0

91.7 

99.2 

0

71.0 

87.0 

0

96.1 

100.2 

0

82.5 

95.1 

0

81.9 

97.5 

0

89.7 

94.8 

0

81.4 

100.9 

0

74.8 

94.0 

0

88.1 

102.1 

0

69.2 

81.4 

0

78.8 

90.9 

0

85.3 

94.2 

0

74.8 

81.3 

0

77.7 

89.9 

0

78.0 

89.8 

0

80.5 

95.3 

0

75.4 

84.8 

0

81.5 

84.2 

0

73.9 

85.2 

0

69.4 

74.1 

0

89.4 

96.7 

0

70.9 

82.0 

0

82.9 

90.2 

0

60.1 

79.0 

0

74.5 

75.6 

0

92.3 

102.2 

0

87.7 

98.0 

0

78.9 

89.7 

0

79.8 

81.5 

0

85.5 

97.4 

0

87.3 

94.1 

0

77.8 

97.8 

0

71.0 

80.1 

0

70.0 

90.7 

0

74.8 

83.7 

0

69.2 

79.4 

0

80.5 

87.4 

0

89.4 

99.2 

0

74.5 

88.0 

0

70.0 

100.0 

1

60.0 

78.1 

1

79.2 

90.4 

1

80.5 

101.3 

1

75.4 

93.1 

1

83.7 

90.5 

1

73.9 

89.1 

1

76.0 

90.8 

1

85.2 

93.5 

1

82.1 

93.5 

1

76.3 

87.0 

1

97.0 

104.5 

1

81.5 

86.5 

1

65.3 

86.3 

1

60.8 

86.7 

1

78.5 

89.9 

1

60.4 

97.6 

1

89.8 

92.9 

1

87.8 

98.5 

1

76.2 

89.9 

1

74.2 

88.8 

1

67.4 

78.8 

1

75.5 

80.2 

1

80.0 

90.2 

1

76.4 

88.0 

1

60.0 

95.7 

1

89.2 

96.9 

1

83.3 

87.7 

1

85.8 

90.4 

1

75.3 

84.1 

1

77.9 

99.0 

1

70.0 

83.0 

1

88.0 

94.2 

1

86.9 

95.0 

1

87.1 

95.9 

1

60.3 

82.7 

1

81.2 

90.7 

1

82.9 

91.9 

1

87.4 

103.6 

1

83.0 

90.0 

1

76.8 

83.3 

1

76.9 

87.7 

1

79.8 

88.2 

1

83.2 

93.0 

1

79.5 

88.6 

1

82.4 

89.3 

1

80.8 

84.2 

1

83.2 

94.5 

1

71.6 

81.5 

1

82.8 

93.1 

1

76.8 

92.8 

1

93.2 

89.4 

1

91.4 

100.9 

1

97.3 

103.3 

1

88.3 

90.1 

1

80.6 

85.2 

1

87.4 

91.7 

1

96.5 

99.3 

1

77.9 

91.6 

1

76.1 

84.1 

1

85.2 

89.7 

1

68.6 

72.8 

1

79.4 

91.0 

1

85.2 

99.1 

1

74.3 

85.6 

1

74.3 

89.2 

1

78.5 

98.5 

1

80.4 

90.8 

1

82.9 

85.9 

1

78.9 

90.7 

1

78.6 

87.0 

1

87.5 

93.9 

1

78.9 

91.4 

1

80.0 

89.1 

1

80.4 

89.2 

1

88.3 

90.5 

1

80.6 

95.9 

1

85.8 

90.5 

1

84.6 

93.0 

1

90.5 

101.2 

1

92.4 

101.2 

1

84.4 

96.7 

1

82.3 

86.9 

1

77.2 

85.8 

1

83.3 

82.1 

1

86.2 

98.9 

1

81.3 

97.7 

1

90.2 

96.4 

1

78.4 

85.5 

1

84.7 

90.9 

1

89.7 

94.3 

1

78.4 

88.0 

1

70.0 

80.0 

Reference no: EM133110015

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