In an emergency, the typical driver requires about 0.75 seconds to get his or her foot onto the brake. The distance that the car travels during this reaction time is called the reaction distance. The table shows reaction distances for cars traveling at various speeds.
Speed (mph) 20 30 40 50 60 70
Reaction Distance (ft) 22 33 44 55 66 77
a. Calculate the slope of the regression line.
b.What are the units for the slope?
c. Interpret the value of the vertical intercept for this context in one complete sentence
d. Use the regression equation to predict the reaction distance if the car is travelling 52 mph.