Answered: regression line.

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter13: Probability And Calculus

Section13.3: Special Probability Density Functions

Problem 36E

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Question

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The relationship between total cholesterol (milligrams per deciliter) and BMI (Ratio of weight in kilograms to height in metres squared) of 20 participants

is shown in the scatterplot below along with the least squares regression line.

Which of the following statements is correct?

a) The relationship between total cholesterol and BMI is linear as can be seen by the random scatter of the data above and below the least squares regression line.

Both variables are metric and therefore it is appropriate to use Pearson's correlation to measure the linear association between the two variables.

b) The relationship between total cholesterol and BMI is non-linear and since both variables are metric it is appropriate to use Pearson's correlation to measure the linear association between the two variables.

c) The relationship between total cholesterol and BMI is non-linear as can be seen by the patterning of points around the least squares regression line and therefore it is not appropriate to use Pearson's correlation to measure the linear association between the two variables.

d) The relationship between total cholesterol and BMI is linear and since both variables are metric it is not appropriate to use Pearson's correlation to measure the linear association between the two variables.