An engineer wants to determine how the weight of a gas-powered car, x, affects gas mileage, y. The accompanying data represent the weights of various domestic cars and their miles per gallon in the city for the most recent model year. Comp through (d) below. E Click here to view the weight and gas mileage data. (a) Find the least-squares regression line treating weight as the explanatory variable and miles per gallon as the response variable. (Round the x coefficient to five decimal places as needed. Round the constant to one decimal place as needed.) (b) Interpret the slope and y-intercept, if appropriate. Choose the correct answer below and fill in any answer boxes in your choice. (Use the answer from part a to find this answer.) O A. For every pound added to the weight of the car, gas mileage in the city will decrease by mile(s) per gallon, on average. A weightless car will get miles per gallon, on average. O B. A weightless car will get miles per gallon, on average. It is not appropriate to interpret the slope. O C. For every pound added to the weight of the car, gas mileage in the city will decrease by mile(s) per gallon, on average. It is not appropriate to interpret the y-intercept. O D. It is not appropriate to interpret the slope or the y-intercept. (c) A certain gas-powered car weighs 3568 pounds and gets 20 miles per gallon. Is the miles per gallon of this car above average or below average for cars of this weight? Car Weight and MPG The estimated average miles per gallon for cars of this weight is miles per gallon. The miles per gallon of this car is V average for cars of this weight. (Round to three decimal places as needed.) Weight Miles per
An engineer wants to determine how the weight of a gas-powered car, x, affects gas mileage, y. The accompanying data represent the weights of various domestic cars and their miles per gallon in the city for the most recent model year. Comp through (d) below. E Click here to view the weight and gas mileage data. (a) Find the least-squares regression line treating weight as the explanatory variable and miles per gallon as the response variable. (Round the x coefficient to five decimal places as needed. Round the constant to one decimal place as needed.) (b) Interpret the slope and y-intercept, if appropriate. Choose the correct answer below and fill in any answer boxes in your choice. (Use the answer from part a to find this answer.) O A. For every pound added to the weight of the car, gas mileage in the city will decrease by mile(s) per gallon, on average. A weightless car will get miles per gallon, on average. O B. A weightless car will get miles per gallon, on average. It is not appropriate to interpret the slope. O C. For every pound added to the weight of the car, gas mileage in the city will decrease by mile(s) per gallon, on average. It is not appropriate to interpret the y-intercept. O D. It is not appropriate to interpret the slope or the y-intercept. (c) A certain gas-powered car weighs 3568 pounds and gets 20 miles per gallon. Is the miles per gallon of this car above average or below average for cars of this weight? Car Weight and MPG The estimated average miles per gallon for cars of this weight is miles per gallon. The miles per gallon of this car is V average for cars of this weight. (Round to three decimal places as needed.) Weight Miles per
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Problem 1P
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![An engineer wants to determine how the weight of a gas-powered car, \(x\), affects gas mileage, \(y\). The accompanying data represent the weights of various domestic cars and their miles per gallon in the city for the most recent model year. Complete parts (a) through (d) below.
**(a)** Find the least-squares regression line treating weight as the explanatory variable and miles per gallon as the response variable.
\[
\hat{y} = [\ ]x + [\ ]
\]
(Round the \(x\) coefficient to five decimal places as needed. Round the constant to one decimal place as needed.)
**(b)** Interpret the slope and y-intercept, if appropriate. Choose the correct answer below and fill in any answer boxes in your choice.
- **A.** For every pound added to the weight of the car, gas mileage in the city will decrease by [\ ] mile(s) per gallon, on average. A weightless car will get [\ ] miles per gallon, on average.
- **B.** A weightless car will get [\ ] miles per gallon, on average. It is not appropriate to interpret the slope.
- **C.** For every pound added to the weight of the car, gas mileage in the city will decrease by [\ ] mile(s) per gallon, on average. It is not appropriate to interpret the y-intercept.
- **D.** It is not appropriate to interpret the slope or the y-intercept.
**(c)** A certain gas-powered car weighs 3568 pounds and gets 20 miles per gallon. Is the miles per gallon of this car above average or below average for cars of this weight?
The estimated average miles per gallon for cars of this weight is [\ ] miles per gallon. The miles per gallon of this car is [\ ] average for cars of this weight. (Round to three decimal places as needed.)
**(d)** Would it be reasonable to use the least-squares regression line to predict the miles per gallon of a hybrid gas and electric car? Why or why not?
- **A.** No, because the hybrid is a different type of car.
- **B.** Yes, because the absolute value of the correlation coefficient is greater than the critical value for a sample size of \(n = 10\).
- **C.** No, because the absolute value of the correlation coefficient is less than the](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb7723224-0607-4238-93fb-1f44a2fc5d78%2Fbdeba4a8-c01a-42d8-8047-f153535e61a5%2F9vhlosq_processed.png&w=3840&q=75)
Transcribed Image Text:An engineer wants to determine how the weight of a gas-powered car, \(x\), affects gas mileage, \(y\). The accompanying data represent the weights of various domestic cars and their miles per gallon in the city for the most recent model year. Complete parts (a) through (d) below.
**(a)** Find the least-squares regression line treating weight as the explanatory variable and miles per gallon as the response variable.
\[
\hat{y} = [\ ]x + [\ ]
\]
(Round the \(x\) coefficient to five decimal places as needed. Round the constant to one decimal place as needed.)
**(b)** Interpret the slope and y-intercept, if appropriate. Choose the correct answer below and fill in any answer boxes in your choice.
- **A.** For every pound added to the weight of the car, gas mileage in the city will decrease by [\ ] mile(s) per gallon, on average. A weightless car will get [\ ] miles per gallon, on average.
- **B.** A weightless car will get [\ ] miles per gallon, on average. It is not appropriate to interpret the slope.
- **C.** For every pound added to the weight of the car, gas mileage in the city will decrease by [\ ] mile(s) per gallon, on average. It is not appropriate to interpret the y-intercept.
- **D.** It is not appropriate to interpret the slope or the y-intercept.
**(c)** A certain gas-powered car weighs 3568 pounds and gets 20 miles per gallon. Is the miles per gallon of this car above average or below average for cars of this weight?
The estimated average miles per gallon for cars of this weight is [\ ] miles per gallon. The miles per gallon of this car is [\ ] average for cars of this weight. (Round to three decimal places as needed.)
**(d)** Would it be reasonable to use the least-squares regression line to predict the miles per gallon of a hybrid gas and electric car? Why or why not?
- **A.** No, because the hybrid is a different type of car.
- **B.** Yes, because the absolute value of the correlation coefficient is greater than the critical value for a sample size of \(n = 10\).
- **C.** No, because the absolute value of the correlation coefficient is less than the
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