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The distance (in kilometers) and price (in dollars) for one-way airline tickets from San Francisco to several cities are shown in the accompanying table. Complete
The distance (in kilometers) and price (in dollars) for one-way airline tickets from San Francisco to several cities are shown in the accompanying table. Complete parts a through d below. Click the icon to view the data on airline ticket prices. a. Find the correlation coefficient for these data using a computer or statistical calculator. Use distance as the x-variable and price as the y-variable. r=(Round to three decimal places as needed.) b. Recalculate the correlation coefficient for these data using price as the x-variable and distance as the y-variable. What effect does this have on the correlation coefficient? Select the correct choice below and fill in the answer box to complete your choice. (Round to three decimal places as needed.) A. The correlation coefficient is r= . The correlation coefficient remains the same when the order of the variables is changed. O B. The correlation coefficient is r= . The correlation coefficient decreases when the order of the variables is changed. O C. The correlation coefficient is r= . The correlation coefficient increases when the order of the variables is changed. c. Suppose a $60 security fee was added to the price of each ticket. What effect would this have on the correlation coefficient? Select the correct choice below and fill in the answer box to complete your choice. (Round to three decimal places as needed.) A. The correlation coefficient is r= . The correlation coefficient remains the same when adding a constant. O B. The correlation coefficient is r= . The correlation coefficient increases when adding a constant. C. The correlation coefficient is r= . The correlation coefficient decreases when adding a constant. d. Suppose the airline held an incredible sale, where travelers got a round-trip ticket for the price of a one-way ticket. This means that the distances would be doubled while the ticket price remained the same. What effect would this have on the correlation coefficient? Select the correct choice below and fill in the answer box to complete your choice. (Round to three decimal places as needed.) O A. The correlation coefficient is r= . The correlation coefficient remains the same when multiplying by a positive constant. O B. The correlation coefficient is r= . The correlation coefficient increases when multiplying by a positive constant. O C. The correlation coefficient is r= . The correlation coefficient decreases when multiplying by a positive constant. X Airline ticket prices Destination Distance (km) Price ($) Denver 526 119 New York City 4139 301 Austin 2420 135 Chicago 2960 232 Atlanta 3440 151
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