The following are sample data provided by a moving company on the weights of six shipments, the distances they were moved, and the damage that was incurred:

(a) Assuming that the regression is linear, estimate β0, β1, and β2.
(b) Use the results of part (a) to estimate the dam-age when a shipment weighing 2,400 pounds is moved 1,200 miles.

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Distance Damage (1,000 pounds) (1.000 miles) (dollars) Weight Ху X2 4.0 3.0 1.6 1.2 3.4 4.8 1.5 2.2 1.0 2.0 0.8 1.6 160 112 69 90 123 186