Question

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? For each 1 minute, the runner ran 9. 5 miles. For each 9. 5 minutes, the runner ran 1 mile. The minimum distance with a recorded time is 9. 5 miles. The maximum distance with a recorded time is 9. 5 miles.

Answer 1

The interpretation that describes a line of best fit of y = 9.5x for the data in the scatterplot is (a) For each 1 minute, the runner ran 9.5 miles

The equation of the line of best fit is given as:

$y = 9.5x$

The line of best fit is represented as:

$y = mx + b$

Where m represents the rate or slope.

So, by comparison:

$m = 9.5$

This means that, the number of miles travelled every minute is 9.5

Hence, the true statement is (a)

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