3.34 Armspan and Height Leonardo DaVinci (1452-1519) drew a sketch of a man, indicating that a persons armspan (measuring across the back with 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. Calculate the correlation coefficient relating arms- pan and height.

c. If you were to calculate the regression line for predicting height based on a person's armspan, how would you estimate the slope of this line?

d. Find the regression line relating armspan to a person's height.

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