Using Expedia, a discount travel website, the American Airline prices for a one-way flight from New York City to various cities were recorded. The following table gives the distances from New York City to 14 selected cities, along with the airfare to each of these cities.

(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) Identify the outlier in the scatterplot. What is the correlation coefficient with this city removed?
(d) With the outlier removed, find the equation of the least squares line, and use it to find the approximate marginal cost per mile to y.

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City Chicago Denver Kansas City Little Rock Los Angeles Minneapolis Nashville Philadelphia Phoenix Portland Reno St. Louis San Diego Seattle Distance, x (miles) 802 1771 1198 1238 2786 1207 892 95 2411 2885 2705 948 2762 2815 Price, y (dollars) 56 141 235 228 199 216 218 279 171 157 215 247 249 154