This table gives the mean height in centimeters of boys ages 5 to 13 in the United States.
Age Height (cm)
5 ................... 109.2
6 ................... 115.7
7 ................... 122.0
8 ................... 128.1
9 ................... 133.7
Age Height (cm)
10 ..................... 138.8
11 ..................... 143.7
12 .......................149.3
13 .......................156.4
a. Define variables, plot the data, and find the median-median line.
b. Calculate the residuals.
c. What is the root mean square error for the median-median line?
d. What is the real-world meaning of the root mean square error?
e. If you use the median-median line to predict the mean height of boys age 15, what range of heights should be predicted?