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Exploring the relationship between the weight of a vehicle

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Reference no: EM132581370

We are interested in exploring the relationship between the weight of a vehicle and its fuel efficiency (gasoline mileage). The data in the table show the weights, in pounds, and fuel efficiency, measured in miles per gallon, for a sample of 12 vehicles.

Weight Fuel Efficiency

2660. 24
2560. 27
2670. 29
2730. 38
3000 24
3410 23
3640 21
3700 27
3880 21
3900 21
4060 21
4710 15

1) Find the correlation coefficient. (Round your answer to two decimal places.)

2)Find the equation of the best fit line. (Round your answers to four decimal places.)

y = _____x + _____

3)What percent of the variation in fuel efficiency is explained by the variation in the weight of the vehicles, using the regression line? (Round your answer to the nearest whole number.)

4)For the vehicle that weighs 3000 pounds, find the residual (y - y).

(Round your answer to two decimal places.)

5)Remove the outlier from the sample data. Find the new correlation coefficient and coefficient of determination.

(Round your answers to two decimal places.)

correlation coefficient = _______

coefficient of determination= ____

Find the new best fit line. (Round your answers to four decimal places.)

y = _____x+______

Reference no: EM132581370

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