The following are sample data provided by a movingcompany on the weights of six shipments, the distancesthey were moved, and the damage that was incurred:Weight Distance Damage(1,000 pounds) (1,000 miles) (dollars)x1 x2 y4.0 1.5 1603.0 2.2 1121.6 1.0 691.2 2.0 903.4 0.8 1234.8 1.6 186(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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section: Chapter Questions
Problem 7MCQ
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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:
Weight Distance Damage
(1,000 pounds) (1,000 miles) (dollars)
x1 x2 y
4.0 1.5 160
3.0 2.2 112
1.6 1.0 69
1.2 2.0 90
3.4 0.8 123
4.8 1.6 186
(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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