12.17 Armspan and Height Leonardo daVinci (1452-1519) drew a sketch of a man, indicating that a person's armspan (measuring across the back with your arms outstretched to make a "t") is roughly equal to the person's height. To test this claim, we measured eight people with the following results:

a. Draw a scatterplot for armspan and height. Use the same scale on both the horizontal and vertical axes. Describe the relationship between the two variables.

b. If da Vinci is correct, and a person's armspan is roughly the same as the person's height, what should the slope of the regression line be?

c. Calculate the regression line for predicting height based on a person's armspan. Does the value of the slope b confirm your conclusions in part b?

d. If a person has an armspan of 157.5 cm, what would you predict the person's height to be?

Transcribed Image Text:

Person 1 2 3 3 4 5 6 7 8 Armspan 172.7 158.1 165.1 176.5 172.7 175.3 157.5 153.0 (cm) Height 175.3 157.5 165.1 177.8 170.2 170.2 160.0 157.5 (cm)