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 gives 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? (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: On average, highway mileage decreases by 0.993 mpg0.993 mpg for each additional mpg in city mileage. On average, highway mileage increases by 7.903 mpg7.903 mpg for each additional mpg in city mileage. On average, highway mileage increases by 0.993 mpg0.993 mpg for each additional mpg in city mileage. Highway gas mileage increases with city gas mileage by 7.903 mpg7.903 mpg for each additional mpg in city mileage. For every 7.903 mpg7.903 mpg in city gas mileage, highway gas mileage increases about 0.993 mpg.0.993 mpg. (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. Because this is the highway mileage for slope 0.0. Because this is the highway mileage for zero city mpg. Because this is an average value, calculated from a sample. (c) Find the predicted highway mileage for a car that gets 1616 miles per gallon in the city. (Give your answer to 33 decimal places.) predicted highway mileage = mpg Find the predicted highway mileage for a car that gets 2828 miles per gallon in the city. (Give your answer to 3 decimal places.) predicted highway mileage =

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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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 gives 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? (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:

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

On average, highway mileage increases by 7.903 mpg7.903 mpg for each additional mpg in city mileage.

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

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

For every 7.903 mpg7.903 mpg in city gas mileage, highway gas mileage increases about 0.993 mpg.0.993 mpg.

(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.

Because this is the highway mileage for slope 0.0.

Because this is the highway mileage for zero city mpg.

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

(c) Find the predicted highway mileage for a car that gets 1616 miles per gallon in the city. (Give your answer to 33 decimal places.)

predicted highway mileage =

mpg

Find the predicted highway mileage for a car that gets 2828 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 1010 and 50 mpg.50 mpg.

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