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3. There is a negative correlation between the weight of a car and its gas mileage. The best fit line is y = -6.93x + 43.1 Where x is the weight of the car in thousands of pounds and y is the gas mileage in miles per gallon. The coefficient of determination is R² = 0.895

3. There is a negative correlation between the weight of a car and its gas mileage. The best fit line is y = -6.93x + 43.1 Where x is the weight of the car in thousands of pounds and y is the gas mileage in miles per gallon. The coefficient of determination is R² = 0.895

MATLAB: An Introduction with Applications
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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please answer 3 A,B,C,D, and E thank you 

3. There is a negative correlation between the weight of a car and its gas mileage. The best fit line is y = -6.93x + 43.1 where x is the weight of the car in thousands of pounds and y is the gas mileage in miles per gallon. The coefficient of determination is R2 = 0.895 . a) Why did we choose x to be weight and y to be gas mileage instead of the other way around? b) Explain what it means to say that there is a negative correlation between weight and gas mileage. c) If you graphed the best fit line, would it slope upwards or downwards? How can you tell? d) Interpret what “R? = 0.895" means in words. e) A certain SUV weighs 4,200 lbs. and gets 16 miles per gallon. Does this particular SUV get better or worse gas mileage than what we would expect from the best fit line? Hint: this would be x = 4.200
Transcribed Image Text:3. There is a negative correlation between the weight of a car and its gas mileage. The best fit line is y = -6.93x + 43.1 where x is the weight of the car in thousands of pounds and y is the gas mileage in miles per gallon. The coefficient of determination is R2 = 0.895 . a) Why did we choose x to be weight and y to be gas mileage instead of the other way around? b) Explain what it means to say that there is a negative correlation between weight and gas mileage. c) If you graphed the best fit line, would it slope upwards or downwards? How can you tell? d) Interpret what “R? = 0.895" means in words. e) A certain SUV weighs 4,200 lbs. and gets 16 miles per gallon. Does this particular SUV get better or worse gas mileage than what we would expect from the best fit line? Hint: this would be x = 4.200
Expert Solution
Step 1

a) Here, x is weight and y is gas mileage.

In general, gas mileage depends on the weight of the car, but the weight of the car is not depend on gas mileage. Hence we chose x to be weight and y to be gas mileage.

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