A random sample of 65 high school seniors was selected from all high school seniors at a certain high school. The following scatterplot shows the height in cm, and the foot length, in clam, for each high school senior from the sample. The least-squares regression like is shown. The computer output from the least squares analysis is also shown.
a.) calculate and interpret the residual for the high school senior with a foot length of 20 cm and a height of 160 cm.
b.) the standard deviation of the residuals is s=5.9. interpret the value in context.
c.) the following histogram summarizes 65 residuals. assume that the distribution of residuals is approximately normal with mean 0 cm and standard deviation 5.9 cm. what percent of the residuals are greater than 8 cm? justify your answer.
d.) based on your answer to part c.), would it be surprising to randomly select a high school senior from the high school with a foot length or 20 cm and a height greater than 165 dk? justify your answer.
the graphs to these questions are on