A doctor wants to determine the relation that might exist between a child's height and head circumference. She randomly selects 11 three-year-old children and measures their height and head circumference and obtains the data.
Height (inches) Head Circumference
27.75 17.5
24.5 17.1
25.5 17.1
26 17.3
25 16.9
27.75 17.6
26.5 17.3
27 17.5
26.75 17.3
26.75 17.5
27.5 17.5
If the doctor wants to use height to predict head circumference run a linear regression on the data.
a) Find the r-value and comment about it.
b) Is the r-value significant at 99%?
C) Write the equation for the best-fit lie.
d) If height was 24, what would be the head circumference?
e) Make a general statement about the results.