Question

read the following description of a data set.
coach gilbert is responsible for recruiting male athletes to join the european track and field team. to improve her recruitment strategies, she wants to investigate the connection between an athletes height and 3000 - meter run time.
coach gilbert has recorded the heights of the men on the track and field team (in centimeters), x, and their best 3000 - meter times (in minutes), y.
the least squares regression line of this data set is:
y = - 0.025x + 12.939
complete the following sentence:
according to the least squares regression line, a one centimeter increase in height corresponds to minutes off the 3000 - meter run.

Explanation:

Step1: Recall the regression line formula

The regression line is \(y = mx + b\), where \(m\) is the slope.

Step2: Interpret the slope

In \(y=-0.025x + 12.939\), the slope \(m=-0.025\). The slope represents the change in \(y\) (run - time) for a unit change in \(x\) (height).

Answer:

\(0.025\)