Introduction to Probability and Statistics
Introduction to Probability and Statistics
14th Edition
ISBN: 9781133103752
Author: Mendenhall, William
Publisher: Cengage Learning
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Chapter 3, Problem 3.36SE

Armspan and Height Leonardo da Vinci(1452−1519) drew a sketch of a man, indicatingthat a person’s armspan (measuring across theback with arms outstretched to make a “T”) is roughlyequal to the person’s height. To test this claim, we measuredeight people with the following results:

Chapter 3, Problem 3.36SE, Armspan and Height Leonardo da Vinci(14521519) drew a sketch of a man, indicatingthat a person’s
a. Draw a scatterplot for armspan and height. Use thesame scale on both the horizontal and vertical axes.Describe the relationship between the two variables.
b. Calculate the correlation coefficient relating armspanand height.
c. If you were to calculate the regression line for predictingheight based on a person’s armspan, howwould you estimate the slope of this line?
d. Find the regression line relating armspan to a person’sheight.
e. If a person has an armspan of 62 inches, what wouldyou predict the person’s height to be?

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