Answered: regression line.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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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.