Question

We expect a car’s highway gas mileage to be related to its city
gas mileage (in mpg). Data for all 1209 vehicles in the
government’s *2016 Fuel Economy Guide* give the regression
line

highway mpg=7.903+(0.993×city mpg)

for predicting highway mileage from city mileage.

(a) What is the slope of this line? (Enter your answer rounded to three decimal places.)

slope:

What does the numerical value of the slope tell you?

On average, highway mileage decreases by 0.993 mpg for each additional mpg in city mileage.

On average, highway mileage increases by 7.903 mpg for each additional mpg in city mileage.

Highway gas mileage increases with city gas mileage by 7.903 mpg for each additional mpg in city mileage.

On average, highway mileage increases by 0.993mpg for each additional mpg in city mileage.

For every 7.903 mpg in city gas mileage, highway gas mileage increases about 0.993 mpg.

(b) What is the intercept? (Enter your answer rounded to three decimal places.)

intercept:

mpg

Why is the value of the intercept not statistically meaningful?

The value of the intercept represents the predicted highway mileage for city gas mileage of 00 mpg, and such a car does not exist.

The value of the intercept is an average value calculated from a sample.

The value of the intercept represents the predicted highway mileage for slope 0.0.

The value of the intercept represents the predicted highway mileage for city gas mileage of 00 mpg, and such a prediction would be invalid, since 00 is outside the range of the data.

(c) Find the predicted highway mileage, ?̂ ,y^, for a car that gets 12 miles per gallon in the city. (Enter your answer rounded to three decimal places.)

?̂=

mpg

Find the predicted highway mileage, ?̂ , for a car that gets22 miles per gallon in the city. (Enter your answer rounded to three decimal places.)

?̂ =

mpg

Answer #1

We expect a car’s highway gas mileage to be related to its city
gas mileage (in mpg). Data for all 12091209 vehicles in the
government’s 2016 Fuel Economy Guide give the regression
line
highway mpg=7.903+(0.993×city mpg)highway mpg=7.903+(0.993×city
mpg)
for predicting highway mileage from city mileage.
(a) What is the slope of this line? (Enter your answer rounded
to three decimal places.)
slope:
What does the numerical value of the slope tell you?
Highway gas mileage increases with city gas mileage...

We expect a car’s highway gas mileage to be related to its city
gas mileage (in mpg). Data for all 1209 vehicles in the
government’s 2016 Fuel Economy Guide give the regression
line
highway mpg=7.903+(0.993×city mpg)
for predicting highway mileage from city mileage.
(a) What is the slope of this line? (Enter your answer rounded
to three decimal places.)
slope:
What does the numerical value of the slope tell you?
On average, highway mileage increases by 0.993 mpg for each...

We expect a car's highway gas mileage to be related to its city
gas mileage (in miles per gallon, mpg). Data for all 1137 vehicles
in the government's 2013 Fuel Economy Guide give the
regression line
highway mpg = 6.785 + (1.033 × city mpg)
for predicting highway mileage from city mileage.
(a) What is the slope of this line? (Enter your answer to three
decimal places.)
____mpg
Say in words what the numerical value of the slope tells us....

We expect a car's highway gas mileage to be related to its city
gas mileage (in miles per gallon, mpg). Data for all 1137 vehicles
in the government's Fuel Economy Guide give the regression
line
highway mpg = 6.785 + (1.033 * city mpg)
for predicting highway mileage from city mileage.
(a) What is the slope of this line? (Enter your answer to three
decimal places.)
mpg
Say in words what the numerical value of the slope tells us.
Highway...

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.
Weight (pounds), x Miles per Gallon, y
3787 18
3798 17
2725 24
3460 19
3334 20
3028 24
3808 18
2703 25
3570 19
3836 17
3370 18
(a) Find the least-squares regression line
treating weight as the...

The data below was collected from manufacturer advertisements of
their vehicles horsepower and highway gas mileage (mpg.). Use this
data to answer the following questions.
x
158
250
340
350
390
190
220
y
33
28
15
17
11
35
42
1. Find the p-value to determine if there is a linear
correlation between horsepower and highway gas mileage (mpg).
Record the p-value below. Round to four decimal places.
p-value=
2. Is there a linear correlation between horsepower and highway...

The Environmental Protection Agency rates the mean highway gas
mileage of the 2017 Chevrolet Sonic to be 28 miles per gallon.
Assume the standard deviation is 3 miles per gallon. A rental car
company buys 50 of these cars.
What is the probability that the mean gas mileage of the rental
fleet is less than 27.5 miles per gallon?
Find the 70th percentile of the mean mileage for the rental
fleet. Round your answer to two decimal digits.

A major U.S. automaker has determined that the city mileage for
its new hybrid gas/electric model is normally distributed with a
mean equal to 52 miles per gallon (μ = 52) and a standard deviation
of 3.7 mpg (σ = 3.7).
A. What is the probability a vehicle would get less than
50 miles per gallon, i.e., P(x < 50)?
Enter your response rounded to 3 decimals, in the format 0.123
with no other text or symbols.
B. What is...

A linear model to predict the Price of a used car (in $) from
its Mileage (in miles) was fit to 33 used cars that were available
during a one-week period within 200 miles of a particular city.
The model is shown below. Complete parts a through g below.
Price=21,253.54−0.11024 Mileage
a) What is the explanatory variable?
A.Price, because the mileage of the car is used to predict the
price
B.Price, because the price of the car is used to...

A certain model of automobile has its gas mileage (in miles per
gallon, or mpg) normally distributed, with a mean of 32 mpg and a
standard deviation of 4 mpg. Find the probability that a car
selected at random has the following gas mileages. (Round your
answers to four decimal places.) (a) less than 26 mpg (b) greater
than 34 mpg (c) between 30 and 34 mpg

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