The weight of a car (in pounds) can influence the mileage (in mpg) that the car can obtain. A random sample of 18 cars was taken and the weight and mileage were recorded for each. The data are in the table below.X, weight (in pounds)Y, mileage (in mpg)350028225041.1450017350028350032.6300031.4550013.2400023.4450019.5350031.3400023.6225053.3225038.9300031.4250040.9300031.5300032.2275036.3 c) Find the equation of the best-fitting line (the least squares regression equation).Round values to 3 decimal places.Include the restricted domain.equation: ? =restricted domain:+pounds <= x <=* Xd) Interpret the slope from part c in the context of this problem. (Pay attention to the units)• Every time we increase Select an answerexpect Select an answeraverage.. When Select an answer isSelect an answerpoundsto bebyto Select an answer bye) Interpret the Y-intercept from part c in the context of this problem. Include units.Does it make sense to interpret the Y-intercept on this problem?Why or why not? Select an answerwe expectwe canf) Should you use the regression equation to predict the mileage of a randomly selected car that has aweight of 4488 pounds?Select an answeron f) Should you use the regression equation to predict the mileage of a randomly selected car that has aweight of 4488 pounds?Select an answerShould you use the regression equation to predict the mileage of a randomly selected car that has aweight of 7948 pounds?Select an answerLooking at your answers above, predict the mileage for the one above that it made sense to do so.Make sure you use the stored equation and not the rounded equation from part c.Round final answer to 3 decimal places.• The predicted mileage for a randomly selected car that has a weight ofg) Compute the residual for the following ordered pair in the data: (4000, 23.4).Make sure you use the stored equation and not the rounded equation from part c.Round final answer to 3 decimal places.The residual for the car with a weight of 4000 pounds isInterpret what this value means in the context of this problem.pounds is• The actual mileage of a randomly selected car with a weight of 4000 pounds isSelect an answer what was predicted.

c)By the given data,we use R-software to evaluate the least squares regression as:Ŷ = 64.538 -…

The weight of a car (in pounds) can influence the mileage (in mpg) that the car can obtain. A random sample of 18 cars was taken and the weight and mileage were recorded for each. The data are in the table below.

The weight of a car (in pounds) can influence the mileage (in mpg) that the car can obtain. A random sample of 18 cars was taken and the weight and mileage were recorded for each. The data are in the table below.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

X, weight (in pounds)	Y, mileage (in mpg)
3500	28
2250	41.1
4500	17
3500	28
3500	32.6
3000	31.4
5500	13.2
4000	23.4
4500	19.5
3500	31.3
4000	23.6
2250	53.3
2250	38.9
3000	31.4
2500	40.9
3000	31.5
3000	32.2
2750	36.3

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