An air travel service samples domestic airline flights to explore the relationsh
ID: 3150767 • Letter: A
Question
An air travel service samples domestic airline flights to explore the relationship between airfare and distance. The service would like to know if there is a correlation between airfare and flight distance. If there is a correlation, what percentage of the variation in airfare is accounted for by distance? How much does each additional mile add to the fare? The data follow.
What percentage of the variation in Fare is accounted for by Distance of a flight? (Round your answer to the nearest whole number.)
Determine the regression equation. (Round your answers to 5 decimal places.)
How much does each additional mile add to the fare? (Round your answer to 5 decimal places.)
Estimate the fare for a 2,000-mile flight. (Round your answer to 2 decimal places.)
An air travel service samples domestic airline flights to explore the relationship between airfare and distance. The service would like to know if there is a correlation between airfare and flight distance. If there is a correlation, what percentage of the variation in airfare is accounted for by distance? How much does each additional mile add to the fare? The data follow.
Explanation / Answer
C.
Getting the correlation using technology,
r = 0.393188063
Thus, the coefficient of determination is
r^2 = 0.154596853 = 15.46% [ANSWER]
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d-1.
Using technology, we get
slope = 0.043334718
intercept = 175.5892039
Thus, the regression line is
y^ = 175.5892039 + 0.043334718Distance [ANSWER]
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d-2.
Thus, each mile adds the slope,
$ 0.043334718 [ANSWER]
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d-3.
Thus, if x = 2000
Then
y^ = 262.2586406 [ANSWER]
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