Question

Suppose the linear regression line y = 2.4x + 3.1 predicts the time, in minutes, it takes you to be served at a food stand if there are x people in line ahead of you. About how much time would it take you to be served if there are 5 people in line ahead of you?

1) 17.9 minutes
2) 12.0 minutes
3) 27.5 minutes
4) 15.1 minutes

Answer 1

If there are 5 people in line ahead at the food stand, the linear regression line predicts it will take approximately 15.1 minutes to be served.

Step-by-step explanation:

To predict the time it will take to be served at a food stand when there are 5 people in line ahead, we need to use the given linear regression line y = 2.4x + 3.1. Here, x represents the number of people in line ahead, and y represents the time in minutes.

We simply substitute x with 5 into the equation:

y = 2.4(5) + 3.1

y = 12.0 + 3.1

y = 15.1

Therefore, it would take approximately 15.1 minutes to be served if there are 5 people in line ahead of you.