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?