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. 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. y= -0.00682 x+ (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 in your choice. (Use the answer from part a to find this answer.) Car weight and MPG OA For every pound added to the weight of the car, gas mileage in the city will decrease by O 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. mile(s) per gallon, on average. A weightless car will get miles per gallon, on a Weight (pounds), x Miles per Gallon, y OC. A weightless car will get miles per gallon, on average. It is not appropriate to interpret the slope. 3710 17 3808 15 OD. It is not appropriate to interpret the slope or the y-intercept. 2781 24 (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. 3512 19 3410 20 2927 24 (Round to three decimal places as needed.) 3651 18 2545 23 (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? 3476 19 OA Yes, because the absolute value of the corelation coefficient is greater than the critical value for a sample size of n= 10. 3763 16 O B. 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 isartially powered by gas. O D. No, because the hybrid is a different type of car. Print Done

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15: please can some one check my answer.
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.
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.
y=-0.00682 x+ (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 in your choice.
(Use the answer from part a to find this answer.)
Car weight and MPG
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 a
O 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.
Weight
(pounds), x
Miles per
Gallon, y
OC. Aweightless car will get miles per gallon, on average. It is not appropriate to interpret the slope.
3710
17
OD. It is not appropriate to interpret the slope or the y-intercept.
3808
15
2781
24
(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?
3512
19
3410
20
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.
2927
24
(Round to three decimal places as needed.)
3651
18
2545
23
(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?
3476
19
O A. Yes, because the absolute value of the correlation coefficient is greater than the critical value for a sample size of n = 10.
3763
16
O B. 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 isjartially powered by gas.
D. No, because the hybrid is a different type of car.
Print
Done
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. 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. y=-0.00682 x+ (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 in your choice. (Use the answer from part a to find this answer.) Car weight and MPG 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 a O 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. Weight (pounds), x Miles per Gallon, y OC. Aweightless car will get miles per gallon, on average. It is not appropriate to interpret the slope. 3710 17 OD. It is not appropriate to interpret the slope or the y-intercept. 3808 15 2781 24 (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? 3512 19 3410 20 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. 2927 24 (Round to three decimal places as needed.) 3651 18 2545 23 (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? 3476 19 O A. Yes, because the absolute value of the correlation coefficient is greater than the critical value for a sample size of n = 10. 3763 16 O B. 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 isjartially powered by gas. D. No, because the hybrid is a different type of car. Print Done
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