22. Armspan and Height Leonardo da Vinci

(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 centimeters, what would you predict the person’s height to be?

Transcribed Image Text:

Person 1 2 3 4 Armspan (centimeters) 172 158 165 176 Height (centimeters) 175 157 165 177