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.

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10:32
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.
1
ŷ=x+
(Round the x coefficient to five decimal places as needed. Round the constant to two decimal places as needed.)
2.4G 15%
(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.)
OA. A weightless car will get miles per gallon, on average. It is not appropriate to interpret the slope.
mile(s) per gallon,
OB. For every pound added to the weight of the car, gas mileage in the city will decrease by
miles per gallon, on average.
on average. A weightless car will get
OC. For every pound added to the weight of the car, gas mileage in the city will decrease by
on average. It is not appropriate to interpret the y-intercept.
OD. It is not appropriate to interpret the slope or the y-intercept.
Below
Above
(c) A certain gas-powered car weighs 3500 pounds and gets 18 miles per gallon. Is the miles per gallon of this car
above average or below average for cars of this weight?
(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?
|||
mile(s) per gallon,
OA. Yes, because the hybrid is partially powered by gas.
B. No, because the absolute value of the correlation coefficient is less than the critical value for a sample size
of n = 11.
=
O C. No, because the hybrid is a different type of car.
O D. Yes, because the absolute value of the correlation coefficient is greater than the critical value for a sample
size of n = 11.
O
Transcribed Image Text:10:32 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. 1 ŷ=x+ (Round the x coefficient to five decimal places as needed. Round the constant to two decimal places as needed.) 2.4G 15% (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.) OA. A weightless car will get miles per gallon, on average. It is not appropriate to interpret the slope. mile(s) per gallon, OB. For every pound added to the weight of the car, gas mileage in the city will decrease by miles per gallon, on average. on average. A weightless car will get OC. For every pound added to the weight of the car, gas mileage in the city will decrease by on average. It is not appropriate to interpret the y-intercept. OD. It is not appropriate to interpret the slope or the y-intercept. Below Above (c) A certain gas-powered car weighs 3500 pounds and gets 18 miles per gallon. Is the miles per gallon of this car above average or below average for cars of this weight? (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? ||| mile(s) per gallon, OA. Yes, because the hybrid is partially powered by gas. B. No, because the absolute value of the correlation coefficient is less than the critical value for a sample size of n = 11. = O C. No, because the hybrid is a different type of car. O D. Yes, because the absolute value of the correlation coefficient is greater than the critical value for a sample size of n = 11. O
Weight
(pounds), x
3764
3787
2801
3582
3369
3043
3778
2572
3501
3831
3402
Miles per
Gallon, y
16
17
24
18
20
23
18
24
20
17
18
Transcribed Image Text:Weight (pounds), x 3764 3787 2801 3582 3369 3043 3778 2572 3501 3831 3402 Miles per Gallon, y 16 17 24 18 20 23 18 24 20 17 18
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