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. (Round the x coefficient to five decimal places as needed. Round the constant o 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. A weightless car will get miles per gallon, on average. It is not appropriate to interpret the slope. O B. 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 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. A weightless car will get miles per gallon, on average. O D. It is not appropriate to interpret the slope or the y-intercept. (c) A certain gas-powered car weighs 3621 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? V 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 (Round to three decimal places as needed.)

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o view the weight and gas mileage data.
t-squares regression line treating weight as the explana
Car weight and MPG
efficient to five decimal places as needed. Round the c
e slope and y-intercept, if appropriate. Choose the corre
er from part a to find this answer.)
Miles per
Weight
(pounds), x
Gallon, y
ntless car will get
miles per gallon, on average. It is n
3661
17
ery pound added to the weight of the car, gas mileage in
3931
17
pt.
2711
25
ery pound added to the weight of the car, gas mileage in
3592
19
h, on average.
ot appropriate to interpret the slope or the y-intercept.
3348
21
3066
22
gas-powered car weighs 3621 pounds and gets 17 miles p
3700
17
2577
25
d average miles per gallon for cars of this weight is
mi
3471
19
ree decimal places as needed.)
3734
18
be reasonable to use the least-squares regression line to p
because the hybrid is a different type of car.
because the absolute value of the correlation coefficient is
Print
Done
=, because the hybrid is partially powered by gas.
s, because the absolute value of the correlation coefficient is
O Tir
Transcribed Image Text:o view the weight and gas mileage data. t-squares regression line treating weight as the explana Car weight and MPG efficient to five decimal places as needed. Round the c e slope and y-intercept, if appropriate. Choose the corre er from part a to find this answer.) Miles per Weight (pounds), x Gallon, y ntless car will get miles per gallon, on average. It is n 3661 17 ery pound added to the weight of the car, gas mileage in 3931 17 pt. 2711 25 ery pound added to the weight of the car, gas mileage in 3592 19 h, on average. ot appropriate to interpret the slope or the y-intercept. 3348 21 3066 22 gas-powered car weighs 3621 pounds and gets 17 miles p 3700 17 2577 25 d average miles per gallon for cars of this weight is mi 3471 19 ree decimal places as needed.) 3734 18 be reasonable to use the least-squares regression line to p because the hybrid is a different type of car. because the absolute value of the correlation coefficient is Print Done =, because the hybrid is partially powered by gas. s, because the absolute value of the correlation coefficient is O Tir
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.
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.
(Use the answer from part a to find this answer.)
O A. A weightless car will get
miles per gallon, on average. It is not appropriate to interpret the slope.
O B. 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.
miles per gallon, on average.
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. A weightless car will get
O D. It is not appropriate to interpret the slope or the y-intercept.
(c) A certain gas-powered car weighs 3621 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?
miles per gallon. The miles per gallon of this car is
average for cars of this weight.
The estimated average miles per gallon for cars of this weight is
(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. No, because the absolute value of the correlation coefficient is less than the critical value for a sample size of n = 10.
C. Yes, because the hybrid is partially powered by gas.
D. Yes, because the absolute value of the correlation coefficient is greater than the critical value for a sample size of n = 10.
O Time Remaining: 02:51:02
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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. 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. (Use the answer from part a to find this answer.) O A. A weightless car will get miles per gallon, on average. It is not appropriate to interpret the slope. O B. 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. miles per gallon, on average. 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. A weightless car will get O D. It is not appropriate to interpret the slope or the y-intercept. (c) A certain gas-powered car weighs 3621 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? miles per gallon. The miles per gallon of this car is average for cars of this weight. The estimated average miles per gallon for cars of this weight is (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. No, because the absolute value of the correlation coefficient is less than the critical value for a sample size of n = 10. C. Yes, because the hybrid is partially powered by gas. D. Yes, because the absolute value of the correlation coefficient is greater than the critical value for a sample size of n = 10. O Time Remaining: 02:51:02 Next 1l F12 F10 F11 O00 O00 888 F8 F9 F7 F4 F3 esc $4 5. 8. 4. Rahi Left W E tab
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