Hydroplaning: On wet roads, under certain conditions the front tires of a car will hydroplane, or run along the surface of the water. The critical speed V at which hydroplaning occurs is a function of...

Hydroplaning: On wet roads, under certain conditions the front tires of a car will hydroplane, or run along the surface of the water. The critical speed V at which hydroplaning occurs is a function of p, the tire inflation pressure.23 The following table shows hypothetical data for p, in pounds per square inch, and V , in miles per hour.

a. Find a formula for the regression line of ln V against ln p.

b. Find a formula that models V as a power function of p.

 c. In the rain a car (with tires inflated to 35 pounds per square inch) is traveling behind a bus (with tires inflated to 60 pounds per square inch), and both are moving at 65 miles per hour. If they both hit their brakes, what might happen?