Question

use the least squares regression line of this data set to predict a value. coach leonard is responsible for recruiting male athletes to join the european masters track and field team. to improve his recruitment strategies, he wants to investigate the connection between an athletes height and 3000 - meter run time. coach leonard 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 = - 0.041x + 15.039 how quickly does this line predict a man who is 165 centimeters tall would run the 3000 - meters? round your answer to the nearest thousandth. minutes

Explanation:

Step1: Substitute the value of \(x\) into the regression equation

We are given the regression line \(y = - 0.041x+15.039\) and \(x = 165\).
Substitute \(x = 165\) into the equation: \(y=-0.041\times165 + 15.039\).

Step2: Calculate the value of \(y\)

First, calculate \(-0.041\times165=-6.765\).
Then, \(y=-6.765 + 15.039\).
\(y = 8.274\)

Answer:

\(8.274\)