Question

question 5 of 25
three runners competed in a race. data were collected at each mile mark for each runner. if the runner ran at a constant pace, the data would be linear. a regression line was fitted to their data. use the residual plots to decide which data set is best fit by the regression line, and then identify the runner that kept the most consistent pace.
runner a
runner b
runner c
text description for graph
a. runner a
b. runner b
c. runner c

Explanation:

A good residual plot for a regression line has points randomly scattered around the \(x -\)axis. For Runner \(C\), the residual plot has points close to the \(x -\)axis and more randomly distributed compared to Runner \(A\) and Runner \(B\). A more consistent pace (constant speed, linear relationship) is indicated by a better - fitting regression line (as shown by the residual plot).

Answer:

C. Runner C