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# Gas Mileage Problem: Figure 8-4h and the table show the gasoline consumption rate ISBN: 9781559533911 468

## Solution for problem 3 Chapter 8-4

Precalculus with Trigonometry: Concepts and Applications | 1st Edition

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Problem 3

Gas Mileage Problem: Figure 8-4h and the table show the gasoline consumption rate (mi/gal) of 16 cars of various weights (pounds). a. Run an exponential regression and a power regression on the data. Show that the correlation coefficient for each function is about the same. Plot each function on the same screen as a scatter plot of the data. Do both functions seem to fit the data well? b. Make two residual plots, one for the exponential function and one for the power function. Does either residual plot seem to follow any pattern? How do you interpret this answer in terms of which function fits the data more closely? c. Extrapolate using both the exponential function and the power function to predict the gas mileage for a super-compact car weighing only 500 pounds. Based on your answers, which modelexponential or power regressionhas a more reasonable endpoint behavior for light cars? Is there a significant difference in endpoint behavior if you extrapolate for very heavy cars?

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##### ISBN: 9781559533911

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