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 gives 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? (Give your answer to 33 decimal places.) slope = Say in words what the numerical value of the slope tells you. Select the best option from these choices: A) On average, highway mileage increases by 0.993 mpg0.993 mpg for each additional mpg in city mileage. B) Highway gas mileage increases with city gas mileage by 7.903 mpg7.903 mpg for each additional mpg in city mileage. C) On average, highway mileage decreases by 0.993 mpg0.993 mpg for each additional mpg in city mileage. D) For every 7.903 mpg in city gas mileage, highway gas mileage increases about 0.993 mpg. E) On average, highway mileage increases by 7.903 mpg for each additional mpg in city mileage. (b) What is the intercept? (Give your answer to 33 decimal places.) intercept = mpg Select the correct explanation for why the value of the intercept is not statistically meaningful. A) Because this is an average value, calculated from a sample. B) Because this is the highway mileage for slope 0.0. C) Because this is the highway mileage for zero city mpg. (c) Find the predicted highway mileage for a car that gets 16 miles per gallon in the city. (Give your answer to 3 decimal places.) predicted highway mileage = mpg Find the predicted highway mileage for a car that gets 28 miles per gallon in the city. (Give your answer to 3 decimal places.) predicted highway mileage = mpg

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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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 gives 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? (Give your answer to 33 decimal places.)

slope =

Say in words what the numerical value of the slope tells you. Select the best option from these choices:

A) On average, highway mileage increases by 0.993 mpg0.993 mpg for each additional mpg in city mileage.

B) Highway gas mileage increases with city gas mileage by 7.903 mpg7.903 mpg for each additional mpg in city mileage.

C) On average, highway mileage decreases by 0.993 mpg0.993 mpg for each additional mpg in city mileage.

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

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

(b) What is the intercept? (Give your answer to 33 decimal places.)

intercept = mpg

Select the correct explanation for why the value of the intercept is not statistically meaningful.

A) Because this is an average value, calculated from a sample.

B) Because this is the highway mileage for slope 0.0.

C) Because this is the highway mileage for zero city mpg.

(c) Find the predicted highway mileage for a car that gets 16 miles per gallon in the city. (Give your answer to 3 decimal places.)

predicted highway mileage = mpg

Find the predicted highway mileage for a car that gets 28 miles per gallon in the city. (Give your answer to 3 decimal places.)

predicted highway mileage = mpg

(d) Select the correct graph of the regression line for city mileages between 10 and 50 mpg.

Gas Mileage for 2016 Vehicles
60
Gas Mileage for 2016 Vehicles
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City Mileage (mpg)
City Mileage (mpg)
Gas Mileage for 2016 Vehicles
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Gas Mileage for 2016 Vehicles
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City Mileage (mpg)
City Mileage (mpg)
Highway Mileage (mpg)
Highway Mileage (mpg)
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Highway Mileage (mpg)
Highway Mileage (mpg)

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