The following are sample data provided by a moving company on the weights of six shipments, the distances they are moved, and the damage that that was incurred: Weight (1,000 pounds) Distance Damage (dollars) (1,000 miles) 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) Fit an equation of the form y = bo + bị x1 + b2 x2 b) Use the equation obtained in part (a) to estimate the damage when a shipment weighting 2200 pounds is moved 1100 miles. Hint: Use the given equation to solve for bo, bi and b2 and then put it back in y= bo + bị x1 + b2 X2 Ev= nb, +b, Ex, +b, x,

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 3CYU
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Please show all your work to receive full credits.
The following are sample data provided by a moving company on the weights of six shipments,
the distances they are moved, and the damage that that was incurred:
Weight
(1,000 pounds)
Distance
Damage
(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) Fit an equation of the form y bo + b1 x1 + b2 x2
b) Use the equation obtained in part (a) to estimate the damage when a shipment weighting 2200
pounds is moved 1100 miles.
Hint: Use the given equation to solve for bo, b1 and b2 and then put it back in y= bo + bị x1 + b2
X2
X2
Transcribed Image Text:Please show all your work to receive full credits. The following are sample data provided by a moving company on the weights of six shipments, the distances they are moved, and the damage that that was incurred: Weight (1,000 pounds) Distance Damage (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) Fit an equation of the form y bo + b1 x1 + b2 x2 b) Use the equation obtained in part (a) to estimate the damage when a shipment weighting 2200 pounds is moved 1100 miles. Hint: Use the given equation to solve for bo, b1 and b2 and then put it back in y= bo + bị x1 + b2 X2 X2
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