The table for part (a) shows distances between selected cities and the cost of a business class train ticket for travel between these cities. Complete parts (a) through (c) below. a. Calculate the correlation coefficient for the data shown in the table by using a computer or statistical calculator. Distance (in miles) Cost (in $) 949 188 r=(Round to three decimal places as needed.) 3086 409 2002 259 413 92 2989 458 b. This table for part (b) shows the same information, except that the distance was converted to kilometers by multiplying the numbers of Distance (in kilometers) Cost miles by 1.609 and rounding to the nearest kilometer. What happens to the correlation coefficient when numbers are multiplied by a positive 1527 188 constant? 4965 409 3221 259 (Round to three decimal places as needed.) 665 92 4809 458 O A. The correlation is . The correlation coefficient decreases when the numbers are multiplied by a positive constant. O B. The correlation is. . The correlation coefficient remains the same when the numbers are multiplied by a positive constant. O C. The correlation is . The correlation coefficient increases when the numbers are multiplied by a positive constant. c. Suppose a surcharge is added to every train ticket to fund train maintenance. A fee of forty dollars is added to each ticket, no matter how Distance (in miles) Cost (in $) long the trip is. The table shows the new data. What happens to the correlation coefficient when a constant is added to each number? 49 228 3086 449 2002 299 (Round to three decimal places as needed.) 413 132 2989 498 O A. The correlation is .The correlation coefficient decreases when a constant is added to each number. O B. The correlation is . The correlation coefficient increases when a constant is added to each number. O C. The correlation is . The correlation coefficient remains the same when a constant is added to each number