Calculate the coefficient of correlation of the distribution. Interpret your results. Compute the coefficient of determination and interpret your results. Find the Simple regression line of Y on X.

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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The table shows the body mass index (BMI) X, and the systolic blood pressure (SBP), Y in the mmttg, for each of a random sample of 10 men, aged between 35 years and 40 years, from a particular population.

X

13

23

29

35

17

34

25

20

31

27

Y

103

115

124

126

108

120

113

117

118

119

 

  1. Calculate the coefficient of correlation of the distribution. Interpret your results.
  2. Compute the coefficient of determination and interpret your results.
  3. Find the Simple regression line of Y on X.
  4. Use your equation to estimate the SBP of a man from this population who is aged 38 years and who has a BMI of 30.
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Step 1

Our aim is to find the following : 

  1. Calculate the coefficient of correlation of the distribution. Interpret your results.
  2. Compute the coefficient of determination and interpret your results.
  3. Find the Simple regression line of Y on X.

As per our guidelines, we are supposed to answer only 3 sub-parts and rest can be reposted.

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