As part of its ongoing testing and reporting program, the Insurance Institute for Highway Safety has crashed vehicles into a barrier intended to represent another vehicle€™s bumper, then recorded the cost of repairs necessary to fix whatever damage has occurred. In these tests, the simulated bumper was set at 16 inches from the ground in the corner tests, and at 18 inches from the ground in the full-width tests. In crash-testing a sample of mini and micro-cars at 6 mph, the repair costs were as shown in the table.

a. Based on these data, determine the least-squares regression equation for predicting rear full-width crash repair cost on the basis of rear corner crash repair cost.
b. Determine and interpret the coefficients of correlation and determination.
c. Based on these data, if a mini or micro-car like the ones tested were to incur $800 in damages in the rear corner test, what level of repairs would be predicted for the rear full-width test?

Vehicle Tested Smart Fortwo Chevrolet Aveo Mini Cooper Toyota Yaris Honda Fit Hyundai Accent Kia Rio Rear Full-Width $631 1370 929 3345 3648 2057 3148 Rear Corner S507 612 743 474 831 773