Solved: Armspan and Height Leonardoda Vinci (14521519)

Chapter 12, Problem 17

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Armspan and Height Leonardoda Vinci (14521519) drew a sketch of a man,indicating that a persons armspan (measuring across theback with your arms outstretched to make a T)is roughly equal to the persons height. To test thisclaim, we measured eight people with the followingresults: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 62a. 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. If da Vinci is correct, and a persons armspan isroughly the same as the persons height, whatshould the slope of the regression line be? c. Calculate the regression line for predictingheight based on a persons armspan. Does thevalue of the slope b confirm your conclusionsin part b?d. If a person has an armspan of 62 inches, whatwould you predict the persons height to be?

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