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 = -0.00602 x + 39.89 (Round the x coefficient to five decimal places as needed. Round the constant to two decimal places 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.) OA. 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. OB. A weightless car will get miles per gallon, on average. It is not appropriate to interpret the slope. mile(s) per gallon, OC. For every pound added to the weight of the car, gas mileage in the city will decrease by on average. A weightless car will get miles per gallon, on average. OD. It is not appropriate to interpret the slope or the y-intercept. mile(s) per gallon,

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12:23
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.
y = -0.00602 x + 39.89
(Round the x coefficient to five decimal places as needed. Round the constant to two decimal places 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
on average. It is not appropriate to interpret the y-intercept.
OB. A weightless car will get miles per gallon, on average. It is not appropriate to interpret the slope.
OC. 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.
OD. It is not appropriate to interpret the slope or the y-intercept.
|||
=
Weight
(pounds), x
3670
3880
2687
3623
3382
2884
3734
2683
3532
3877
3223
Vo) 1
LTE2.II 4G
Print
Miles per D
Gallon, y
16
17
24
19
22
22
48%
17
24
20
16
18
Done
O
X
mile(s) per gallon,
Transcribed Image Text:12:23 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. y = -0.00602 x + 39.89 (Round the x coefficient to five decimal places as needed. Round the constant to two decimal places 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 on average. It is not appropriate to interpret the y-intercept. OB. A weightless car will get miles per gallon, on average. It is not appropriate to interpret the slope. OC. 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. OD. It is not appropriate to interpret the slope or the y-intercept. ||| = Weight (pounds), x 3670 3880 2687 3623 3382 2884 3734 2683 3532 3877 3223 Vo) 1 LTE2.II 4G Print Miles per D Gallon, y 16 17 24 19 22 22 48% 17 24 20 16 18 Done O X mile(s) per gallon,
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