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9 November, 21:59

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 3 decimal places.)

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  1. 9 November, 23:45
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    Slope of this line = 0.993

    Explanation:

    Data provided in the question:

    The regression line highway mpg = 7.903 + (0.993*city mpg)

    for predicting highway mileage from city mileage

    Now,

    The general equation for the regression line is given as:

    y = mx + c

    here,

    y is the dependent

    m is the slope of the regression line

    x is the variable

    c is the constant

    on comparing the general regression line with the given data in the question

    we get

    y = highway mpg

    m = 0.993

    x = city mileage

    c = 7.903

    hence,

    Slope of this line = 0.993
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