Scenario: A pediatrician wants to determine the relation that may exist between a child's height

and head circumference. She randomly selects eleven 3-year old children from her practice,

measures their heights and head circumference, and obtains the data shown below:

Height (inches)

Head Circumference (inches)

27.75

17.5

24.5

17.1

25.5

17.1

26

17.3

25

16.9

25.75

17.6

26.5

17.3

27

17.5

26.75

17.3

26.75

17.5

27.5

17.5

a. If the pediatrician wants to use height to predict head circumference, determine which

variable is the explanatory variable and which is response variable.

b. Draw a scatter diagram of the data.

c. Draw the best fit line on the scatter diagram.

d.

Does this scatter diagram show a positive, negative, or no relationship between a child's

height and the head circumference?