We expect a car's highway gas mileage to be related to its city gas mileage (in miles per gallon, mpg). Data for all 12591259 vehicles in the government's 2019 Fuel Economy Guide give the regression line highway mpg=8.720+(0.914×city mpg)highway mpg=8.720+(0.914×city mpg) for predicting highway mileage from city mileage. (c) Find the predicted highway mileage, ?̂ ,�^, for a car that gets 1212 mpg in the city. Give your answer to three decimal places. ?̂ =�^= mpg Find the predicted highway mileage, ?̂ ,�^, for a car that gets 2222 mpg in the city. Give your answer to three decimal places. ?̂ =�^= mpg
We expect a car's highway gas mileage to be related to its city gas mileage (in miles per gallon, mpg). Data for all 12591259 vehicles in the government's 2019 Fuel Economy Guide give the regression line highway mpg=8.720+(0.914×city mpg)highway mpg=8.720+(0.914×city mpg) for predicting highway mileage from city mileage. (c) Find the predicted highway mileage, ?̂ ,�^, for a car that gets 1212 mpg in the city. Give your answer to three decimal places. ?̂ =�^= mpg Find the predicted highway mileage, ?̂ ,�^, for a car that gets 2222 mpg in the city. Give your answer to three decimal places. ?̂ =�^= mpg
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 31EQ
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Question
We expect a car's highway gas mileage to be related to its city gas mileage (in miles per gallon, mpg). Data for all 12591259 vehicles in the government's 2019 Fuel Economy Guide give the regression line
highway mpg=8.720+(0.914×city mpg)highway mpg=8.720+(0.914×city mpg)
for predicting highway mileage from city mileage.
(c) Find the predicted highway mileage, ?̂ ,�^, for a car that gets 1212 mpg in the city. Give your answer to three decimal places.
?̂ =�^=
mpg
Find the predicted highway mileage, ?̂ ,�^, for a car that gets 2222 mpg in the city. Give your answer to three decimal places.
?̂ =�^=
mpg
Expert Solution
Step 1
n =1259 vehicles
highway mpg=8.720+(0.914×city mpg)
let dependent variable highway mpg = y
independent variable city mpg = x
= 8.720+0.914x
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