As part of its ongoing testing and reporting program, The Insurance Institute for Highway Safety crashes vehicles into fixed objects at low speeds, then records the cost of repairs necessary to fix whatever damage has occurred. In crash-testing a sample of sport utility vehicles (SUVs) at 5 mph, the repair costs were as shown in the table at the top of the page.

a. Determine the least-squares equation line for predicting rear-crash repair costs on the basis of front-barrier repair costs.
b. Determine and interpret the coefficients of correlation and determination.
c. If a sport utility vehicle were to incur $1000 in damages in the front-crash test, what level of repairs would be predicted for the rear-crash test?

Vehicle Front Crash into Flat Barrier Rear Crash into Pole 2002 Buick Rendezvous $213 $3683 2002 Chevrolet Trailblazer 811 755 2002 Ford Explorer 2002 Isuzu Axiom 1127 1699 948 1583 2002 Jeep Liberty 1490 809 128 2001 Acura MDX 755 2001 BMW X5 928 196 2001 Mitsubishi Montero 1257 2897 2001 Pontiac Aztek 358 2302 2001 Suzuki Grand Vitara 681 2095 2001 Toyota Highlander 650 542