Air Fares In 2006, for passengers who made early

Chapter 1, Problem 15A

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Problem 15A

Air Fares In 2006, for passengers who made early reservations, American Airlines offered lower prices on one-way fares from New York to various cities. Fourteen of the cities are listed in the following table, with the distances from New York to the cities included. Source: American Airlines.

a. Plot the data. Do the data points lie in a linear pattern?

b. Find the correlation coefficient. Combining this with your answer to part a, does the cost of a ticket tend to go up with the distance flown?

c. Find the equation of the least squares line, and use it to find the approximate marginal cost per mile to fly.

d. For similar data in a January 2000New York Times ad, the equation of the least squares line was Y = 113 + 0.0243x. Source: The New York Times. Use this information and your answer to part b to compare the cost of flying American Airlines for these two time periods.

e. Identify the outlier in the scatterplot. Discuss the reason why there would be a difference in price to this city.

City	Distance (x) (miles)	Price (y) (dollars)
Boston	206	95
Chicago	802	138
Denver	1771	228
Kansas City	1198	209
Little Rock	1238	269
Los Angeles	2786	309
Minneapolis	1207	202
Nashville	892	217
Phoenix	2411	109
Portland	2885	434
Reno	2705	399
St. Louis	948	206
San Diego	2762	239
Seattle	2815	329