Leonardo da Vinci (1452-1519) drew a sketch of a man, indicating that a person's arm span (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 arm span 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 arm span 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 arm span. Does the value of the slope b confirm your conclusions in part b?
d. If a person has an arm span of 62 inches, what would you predict the person's height to be?

Transcribed Image Text:

Person Armspan inches 68 62.25 65 69.5 Height (inches) 69 62 65 70 4 Person Armspan (inches 68 69 6 60.25 Height (inches) 67 67 63 62