Refer to Exercise 41 for a description of reaction and braking distances. Let R be the reaction distance and let B be the braking distance, both in feet, when driving at s miles per hour.
a. Find the stopping distances (in feet) for the driving speeds 20, 30, 40, 50, 60, 70, and 80, all in miles per hour.
b. Let D be the stopping distance (in feet) when driving at s miles per hour. Construct a scatterplot for the association between s and D.
c. Find the linear regression equation for the association between s and D.
d. The linear regression equation for the association between s and R is Rn = 2.2s. The linear regression equation for the association between s and B is Bn = 6.32s - 132.75. Add the expressions 2.2s and 6.32s - 132.75 and compare the result to the right-hand side of the regression equation you found in part (c). Why did this happen?
In exercise

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Table 51 Reaction and Braking Distances Driving Speed mles per hour) feet) Reaction Distance Braking Distance (feet 25 57 101 158 227 310 20 30 40 110 132 154 176 70 80