Please write legible ### Data Analysis on Shipment Weight, Distance, and DamageThe table below presents sample data from a moving company, which shows the relationship between the weights of six shipments, the distances they are moved, and the damage costs incurred:| Weight (1,000 pounds) \(x_1\) | Distance (1,000 miles) \(x_2\) | Damage (dollars) \(y\) ||-------------------------------|--------------------------------|----------------------|| 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 |### Tasksa) **Equation Formation:** Fit an equation of the form \( y = b_0 + b_1 x_1 + b_2 x_2 \).b) **Damage Estimation:** Using the equation derived in part (a), estimate the damage when a shipment weighing 2400 pounds is moved 1200 miles.### Hint for Equation DerivationTo derive the coefficients \( b_0 \), \( b_1 \), and \( b_2 \), use the given system of equations:\[\sum y = nb_0 + b_1 \sum x_1 + b_2 \sum x_2\]\[\sum x_1 y = b_0 \sum x_1 + b_1 \sum x_1^2 + b_2 \sum x_1 x_2\]\[\sum x_2 y = b_0 \sum x_2 + b_1 \sum x_1 x_2 + b_2 \sum x_2^2\]These equations help solve for \( b_0 \), \( b_1 \), and \( b_2 \), allowing you to substitute back into the original equation \( y = b_0 + b_1 x_1 + b_2 x_2 \).

Regression equation is used to predict the variable based on the another. If the equation has only…

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 Distance (1,000 pounds) (1,000 miles) X1 4.0 3.0 1.6 1.2 3.4 4.8 X2 1.5 2.2 1.0 2.0 0.8 1.6 Damage (dollars) y 160 112 69 90 123 186 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 2400 pounds is moved 1200 miles. Hint: Use the given equation to solve for bo, bi and b2 and then put it back in y = bo + b₁ xl + b2 X2

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 Distance (1,000 pounds) (1,000 miles) X1 4.0 3.0 1.6 1.2 3.4 4.8 X2 1.5 2.2 1.0 2.0 0.8 1.6 Damage (dollars) y 160 112 69 90 123 186 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 2400 pounds is moved 1200 miles. Hint: Use the given equation to solve for bo, bi and b2 and then put it back in y = bo + b₁ xl + b2 X2

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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