Question

The fare charged for a rideshare service is a function of

the distance traveled. However, the fare differs
according to the time of day, availability, and other
variables. The distance and fares for 10 rides are
shown in the table. The equation of the least-squares
regression line is ý = 5.20 +2.33x, where y is the
predicted fare and x is the distance.
Distance
(Miles)
1
3
5
8
10
12
15
16
56
Mark this and return
Fare
(Dollars)
1.91
13.68
16.52
24.15
24.79
39.87
40.24
53.84
What is the residual for the rideshare cost with a
distance of 16 miles?
2.33
5.21
11.35
42.49

Answer 1

The residual for the rideshare cost with a distance of 16 miles is 42.48.

Step-by-step explanation:

The least-squares regression line equation is ý = 5.20 + 2.33x, where ý is the predicted fare and x is the distance. To find the residual for the rideshare cost with a distance of 16 miles, substitute x = 16 into the equation: ý = 5.20 + 2.33(16). Calculating this expression gives ý = 5.20 + 37.28, which equals 42.48.