College

A linear model for the data is given by [tex]\hat{y} = 12.3 - 0.24x[/tex], where [tex]x[/tex] is the number of races she runs and [tex]y[/tex] is her 3000-meter time, in minutes. What does the linear regression model predict for her 3000-meter time on her 5th race?

Answer :

Final answer:

The linear regression model predicts her 3000-meter time on her 5th race to be approximately 11.09 minutes.


Explanation:

The linear regression model predicts her 3000-meter time on her 5th race by substituting the value of x (number of races) into the equation. In this case, x = 5. Plugging in the value of x into the equation, we get:

ŷ = 12.3 - 0.242 * 5

ŷ = 12.3 - 1.21

ŷ ≈ 11.09

Therefore, the linear regression model predicts her 3000-meter time on her 5th race to be approximately 11.09 minutes.


Learn more about linear regression model here:

https://brainly.com/question/33168340


Other Questions