The following table lists the heights (inches) and weights (pounds) of 14 National Football League quarterbacks in the 2016 season.

a. Construct a scatterplot of the weight (y) versus the height (x).

b. Compute the correlation coefficient between the height and weight of the quarterbacks.

c. If a quarterback is below average in height, would you expect him to be above average or below average in weight?
Explain.

d. Which of the following is the best interpretation of the correlation coefficient?
i. If a quarterback gains weight, he will grow taller.
ii. Given two quarterbacks, the taller one is likely to be heavier than the shorter one.
iii. Given two quarterbacks, the heavier one is likely to be shorter than the lighter one.

Transcribed Image Text:

Name Height Weight Aaron Rogers 77 230 Cam Newton 77 244 Russell Wilson 71 206 Andrew Luck 76 234 Drew Brees 72 209 Blake Bortles 77 232 Ben Roethlisberger 77 241 Phillip Rivers 77 228 Eli Manning Tyrod Taylor 73 Jameis Winston Carson Palmer Kirk Cousins Tom Brady 223232 76 225 217 76 231 77 235 75 214 76 225