When researching the relationship between fuel economy mpg a

When researching the relationship between fuel economy (mpg) and horsepower (HP), analysis produces the following regression model: mpg = 46.87 - 0.084 HP. If the car you own has a 200 HP engine, what does this model suggest your mpg would be? From question 4, the analysis also provides a regression value of 87 percentage. What does that say about the relationship between fuel economy and horsepower?

Solution

4.

As

mpg = 46.87 - 0.084HP

Then as HP = 200,

mpg = 46.87 - 0.084*200 = 30.07 [ANSWER]

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5.

It means that 87% of the variation in fuel economy is explained by the horsepower.