Armspan and Height Leonardoda Vinci (14521519) drew a

Chapter 3, Problem 35

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Armspan and Height Leonardoda Vinci (14521519) drew a sketch of a man,indicating that a persons armspan (measuring acrossthe back with arms outstretched to make a T) isroughly equal to the persons height. To test this claim,we measured eight people with the following results:Person 12 34Armspan (inches) 68 62.25 65 69.5Height (inches) 69 62 65 70Person 56 78Armspan (inches) 68 69 62 60.25Height (inches) 67 67 63 62 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 relatingarmspan and height. c. If you were to calculate the regression line forpredicting height based on a persons armspan,how would you estimate the slope of this line?d. Find the regression line relating armspan to apersons height.e. If a person has an armspan of 62 inches, whatwould you predict the persons height to be?

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