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. (b) What is the intercept? Give your answer to three decimal pla

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.3: Measures Of Spread
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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.

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

intercept:
 
Expert Solution
Step 1

mpg = miles per gallon 

Data for 1259 vehicles give regression line.

Regression line : 

Highway mpg = 8.720 + (0.914 × city mpg) 

* Regression line consist two variables

(dependent and independent)

Y = mX + c 

Y = dependent variable ( Highway mpg ) 

X = independent variable ( city mpg ) 

m = slope 

* Slope represent average increase in Y by increasing one unit in X 

 

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