An engineer wants to determine how the weight of a are noworod cor v. effects are mileage, y. The accompanying data e most recent model year. Car Weight and MPG Weight (pounds), x Miles per Gallon, y 3724 17 3780 2757 3479 3251 21 2917 3650 2697 3489 3752 2 2 2 2 2 2 2 18 15 26 18 17 23 ☑ cimal place as needed.) nd fill in any answer boxes in 22 ase by mile(s) per gallon, 18 Interpret the slope. ase by 0.00756 mile(s) Print Done iles per gallon of this car above emiles per gallon of this car is

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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.
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Part 1
​(a) Find the​ least-squares regression line treating weight as the explanatory variable and miles per gallon as the response variable.
 
ModifyingAbove y with caretyequals=negative 0.00756−0.00756xplus+​(44.844.8​)
​(Round the x coefficient to five decimal places as needed. Round the constant to one decimal place as​ needed.)
Part 2
​(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.)
 
A.
For every pound added to the weight of the​ car, gas mileage in the city will decrease by
enter your response here
​mile(s) per​ gallon, on average. A weightless car will get
enter your response here
miles per​ gallon, on average.
 
B.
A weightless car will get
enter your response here
miles per​ gallon, on average. It is not appropriate to interpret the slope.
 
C.
For every pound added to the weight of the​ car, gas mileage in the city will decrease by
0.007560.00756
​mile(s) per​ gallon, on average. It is not appropriate to interpret the​ y-intercept.
Your answer is correct.
 
D.
It is not appropriate to interpret the slope or the​ y-intercept.
Part 3
​(c) A certain​ gas-powered car weighs
35503550
pounds and gets
1616
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
enter your response here
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.)
An engineer wants to determine how the weight of a are noworod cor v. effects are mileage, y. The accompanying data
e most recent model year.
Car Weight and MPG
Weight
(pounds), x
Miles per
Gallon, y
3724
17
3780
2757
3479
3251
21
2917
3650
2697
3489
3752
2 2 2 2 2 2 2
18
15
26
18
17
23
☑
cimal place as needed.)
nd fill in any answer boxes in
22
ase by mile(s) per gallon,
18
Interpret the slope.
ase by 0.00756 mile(s)
Print
Done
iles per gallon of this car above
emiles per gallon of this car is
Transcribed Image Text:An engineer wants to determine how the weight of a are noworod cor v. effects are mileage, y. The accompanying data e most recent model year. Car Weight and MPG Weight (pounds), x Miles per Gallon, y 3724 17 3780 2757 3479 3251 21 2917 3650 2697 3489 3752 2 2 2 2 2 2 2 18 15 26 18 17 23 ☑ cimal place as needed.) nd fill in any answer boxes in 22 ase by mile(s) per gallon, 18 Interpret the slope. ase by 0.00756 mile(s) Print Done iles per gallon of this car above emiles per gallon of this car is
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