The distance (in kilometers) and price (in dollars) for one-way airline tickets from San Francisco to several cities are shown in the table.
a. Find the correlation coefficient for this data using a computer or statistical calculator. Use distance as the x-variable and price as the y-variable.
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b. Recalculate the correlation coefficient for this data using price as the x-variable and distance as the y-variable. What effect does this have on the correlation coefficient?
c. Suppose a $50 security fee was added to the price of each ticket. What effect would this have on the correlation coefficient?
d. Suppose the airline held an incredible sale, where travelers got a round-trip ticket for the price of a one-way ticket. This means that the distances would be doubled while the ticket price remained the same. What effect would this have on the correlation coefficient?