A scatterplot is used to display data for a runner where x is the number of miles run, and y is the time, in minutes, that it takes to run that distance. Which interpretation describes a line of best fit of y = 9.5x for the data in the scatterplot?
Answer
A
For each 1 minute, the runner ran 9.5 miles.
B
For each 9.5 minutes, the runner ran 1 mile.
C
The minimum distance with a recorded time is 9.5 miles.
D
The maximum distance with a recorded time is 9.5 miles.
Explanation
In y = 9.5x, y is time in minutes and x is distance in miles. The coefficient 9.5 means the predicted time is 9.5 minutes for each mile run, so the runner runs 1 mile in 9.5 minutes on average. Choice B states this relationship; the equation does not describe a minimum or maximum distance.
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