Police investigating traffic accidents often estimate the speed of a vehicle by measuring
the length of the tire skid distance. The following table gives the average tire skid
distance for an automobile with good tires on dry pavement.
Tire Skid Distance
(in feet)
Speed
(in miles per hour)
25 28
54 35
89 45
132 55
184 65
244 75
313 85
1. Find the linear regression equation: .
2. Estimate the speed of a vehicle with the following tire skid mark distances:
(are you finding x or y?)
a) 150 feet
b) 200 feet
3. Find the tire skid distance of a car travelling at the following speeds:
(are you finding x or y?)
a) 52 miles per hour
b) 105 miles per hour