Question

(in minutes) Duration of flights Cost
45 $120
60 $165
85 $175
180 $284
210 $346

The table shows the duration of some flights, in minutes, and the corresponding costs of those flights. Using a graphing utility, a linear regression is created to model the cost of a flight in terms of the duration. Based on the linear regression, the predicted cost of a 150-minute flight, rounded to the nearest dollar, is closest to what?

Answer 1

Using the least-squares line (from the regression) gives approximately
cost ≈ 1.2467(duration) + 73.382.
For a 150-minute flight: cost ≈ 1.2467(150) + 73.382 ≈ 260.39,
so the predicted cost ≈ $260.