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. 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. y=-0.00682x+(42.4) (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 (Use the answer from part a to find this answer.) 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 at B. For every pound added to the weight of the car, gas mileage in the city will decrease by 76 mile(s) per gallon, on average. It is not appropriate to interpret the y-intercept. OC. A weightless car will get miles per gallon, on average. It is not appropriate to interpret the slope. OD. It is not appropriate to interpret the slope or the y-intercept. (c) A certain gas-powered car weighs 3534 pounds and gets 17 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 98 miles per gallon. The miles per gallon of this car is below 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? OA. Yes, because the absolute value of the correlation coefficient is greater than the critical value for a sample size of n = 10. OB. No, because the absolute value of the correlation coefficient is less than the critical value for a sample size of n = 10. OC. Yes, because the hybrid is partially powered by gas. ⒸD. No, because the hybrid is a different type of car.
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. 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. y=-0.00682x+(42.4) (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 (Use the answer from part a to find this answer.) 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 at B. For every pound added to the weight of the car, gas mileage in the city will decrease by 76 mile(s) per gallon, on average. It is not appropriate to interpret the y-intercept. OC. A weightless car will get miles per gallon, on average. It is not appropriate to interpret the slope. OD. It is not appropriate to interpret the slope or the y-intercept. (c) A certain gas-powered car weighs 3534 pounds and gets 17 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 98 miles per gallon. The miles per gallon of this car is below 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? OA. Yes, because the absolute value of the correlation coefficient is greater than the critical value for a sample size of n = 10. OB. No, because the absolute value of the correlation coefficient is less than the critical value for a sample size of n = 10. OC. Yes, because the hybrid is partially powered by gas. ⒸD. No, because the hybrid is a different type of car.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
Transcribed Image Text:12:57
K
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.
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.
Car Weight and MPG
y=x+
(Round the x coefficient to five decimal places as needed. Round the constant to two decimal places as needed.)
|||
=
Weight
(pounds), x
3670
3880
2687
3623
3382
2884
3734
2683
3532
3877
3223
Print
Miles per
Gallon, y
SANONNINGHE
16
17
24
19
22
22
17
24
20
16
Vo) 1
LTE2 + ... ...
18
Done
43%
O
X
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.
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.
y=-0.00682x+(42.4)
(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
(Use the answer from part a to find this answer.)
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 at
B. For every pound added to the weight of the car, gas mileage in the city will decrease by 76 mile(s) per gallon, on average. It is not appropriate to interpret the y-intercept.
OC. A weightless car will get miles per gallon, on average. It is not appropriate to interpret the slope.
OD. It is not appropriate to interpret the slope or the y-intercept.
(c) A certain gas-powered car weighs 3534 pounds and gets 17 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 98 miles per gallon. The miles per gallon of this car is below 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?
OA. Yes, because the absolute value of the correlation coefficient is greater than the critical value for a sample size of n = 10.
OB. No, because the absolute value of the correlation coefficient is less than the critical value for a sample size of n = 10.
OC. Yes, because the hybrid is partially powered by gas.
ⒸD. No, because the hybrid is a different type of car.
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