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, 8 people were measured with the following results:
Person 1 2 3 4 5 6 7 8
Armspan (mm) 172.7 158.1 165.1 176.5 172.7 175.3 157.5 153.0
Height (mm) 175.3 157.5 165.1 177.8 170.2 170.2 160.0 157.5
a. Draw a scatter plot for armspan and height (use the same scale on both axes). Describe the relationship between the two variables. Calcuate the correlation coefficient relating armspan and height
b. If daVinci is correct, and a person's armspan is roughly the same as the person's height, what should be the slope of the regression line?
c. Find the regression line relating armspan to a person's height
d. If a person has an armspan of 157.5cm what would you predict the person's height to be?