Question

In: Statistics and Probability

We are interested in exploring the relationship between the weight of a vehicle and its fuel...

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
2670 25
2570 24
2630 29
2760 38
3000 25
3410 24
3640 21
3700 26
3880 21
3900 18
4060 18
4710 17

Find the correlation coefficient.

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

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.

For the vehicle that weighs 3000 pounds, find the residual

(yŷ).

(Round your answer to two decimal places.)

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.)

Solutions

Expert Solution

The correlation between weight and fuel efficiency is -0.73. i.e. Fuel efficiency and weight is moderately negatively correlated.


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