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 2000 New York Times ad, the equation of the least squares line was Y = 113 + 0.0243x.

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.

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