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The relationship between carbon dioxide emissions and fuel efficiency of a certain car can be modeled by the least-squares regression equation ln(yˆ)=7−0.045x , where x represents the fuel efficiency, in miles per gallon, and yˆ represents the predicted carbon dioxide emissions, in grams per mile.

Answer :

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Answer: 446

Explanation:

First plug in the 20 to get ln(Y^) =6.1.

To cancel the natural log on the left side of the equation, this value should then be back transformed to find the value of the predicted carbon dioxide emissions (e^6.1).

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The predicted amount of carbondioxide emission produced by a car with a fuel efficiency of 20 mpg using the least - square regression model given is 6.1 grams per mile

The least-square regression model :

  • y = 7 - 0.045x
  • y = Predicted value of carbondioxide emission
  • x = fuel efficiency

To obtain the predicted amount of carbondioxide for a vehicle with x = 20 :

Substitute x = 20 into the least - square regression model :

y = 7 - 0.045(20)

y = 7 - 0.9

y = 6.1

Therefore, the predicted value of carbondioxide emission in grams per mile is 6.1

Learn more :https://brainly.com/question/18405415

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