Use a computer or statistical calculator to calculate the correlation coefficient in parts a through c below. a. The table shows the approximate distance between selected cities and the approximate cost of flights between those cities. Calculate the correlation coefficient between cost and miles. Cost Miles 165 967 405 3115 r = (Round to three decimal places as needed.) 256 1987 113 426 451 3006 b. This table shows the same information, except that the distance was converted to kilometers by multiplying the numbers of miles by 1.609 and rounding to the nearest kilometer. What happens to the correlation coefficient when numbers are multiplied by a positive constant? Cost Kilometers 165 1556 405 5012 (Round to three decimal places as needed.) 256 3197 113 685 451 4837 OA. The correlation is OB. The correlation is The correlation coefficient decreases when the numbers are multiplied by a positive constant. The correlation coefficient increases when the numbers are multiplied by a positive constant. OC. The correlation is . The correlation coefficient remains the same when the numbers are multiplied by a positive constant. c. Suppose a tax is added to each flight. Forty dollars is added to every flight, no matter how long it is. The table shows the new data. What happens to the correlation coefficient when a constant is added to each number? (Round to three decimal places as needed.) OA. The correlation is B. The correlation is OC. The correlation is The correlation coefficient decreases when a constant is added to each number. The correlation coefficient remains the same when a constant is added to each number. The correlation coefficient increases when a constant is added to each number. Cost Miles 205 967 445 3115 296 1987 153 426 491 3006

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Part a through c. Thank you!
Use a computer or statistical calculator to calculate the correlation coefficient in parts a through c below.
a. The table shows the approximate distance between selected cities and the approximate cost of flights between those cities. Calculate the correlation coefficient between
cost and miles.
Cost
Miles
165
967
405
3115
r =
(Round to three decimal places as needed.)
256
1987
113
426
451
3006
b. This table shows the same information, except that the distance was converted to kilometers by multiplying the numbers of miles by 1.609 and rounding to the nearest
kilometer. What happens to the correlation coefficient when numbers are multiplied by a positive constant?
Cost Kilometers
165
1556
405
5012
(Round to three decimal places as needed.)
256
3197
113
685
451
4837
OA. The correlation is
OB. The correlation is
The correlation coefficient decreases when the numbers are multiplied by a positive constant.
The correlation coefficient increases when the numbers are multiplied by a positive constant.
OC. The correlation is
. The correlation coefficient remains the same when the numbers are multiplied by a positive constant.
c. Suppose a tax is added to each flight. Forty dollars is added to every flight, no matter how long it is. The table shows the new data. What happens to the correlation
coefficient when a constant is added to each number?
(Round to three decimal places as needed.)
OA. The correlation is
B. The correlation is
OC. The correlation is
The correlation coefficient decreases when a constant is added to each number.
The correlation coefficient remains the same when a constant is added to each number.
The correlation coefficient increases when a constant is added to each number.
Cost
Miles
205
967
445
3115
296
1987
153
426
491
3006
Transcribed Image Text:Use a computer or statistical calculator to calculate the correlation coefficient in parts a through c below. a. The table shows the approximate distance between selected cities and the approximate cost of flights between those cities. Calculate the correlation coefficient between cost and miles. Cost Miles 165 967 405 3115 r = (Round to three decimal places as needed.) 256 1987 113 426 451 3006 b. This table shows the same information, except that the distance was converted to kilometers by multiplying the numbers of miles by 1.609 and rounding to the nearest kilometer. What happens to the correlation coefficient when numbers are multiplied by a positive constant? Cost Kilometers 165 1556 405 5012 (Round to three decimal places as needed.) 256 3197 113 685 451 4837 OA. The correlation is OB. The correlation is The correlation coefficient decreases when the numbers are multiplied by a positive constant. The correlation coefficient increases when the numbers are multiplied by a positive constant. OC. The correlation is . The correlation coefficient remains the same when the numbers are multiplied by a positive constant. c. Suppose a tax is added to each flight. Forty dollars is added to every flight, no matter how long it is. The table shows the new data. What happens to the correlation coefficient when a constant is added to each number? (Round to three decimal places as needed.) OA. The correlation is B. The correlation is OC. The correlation is The correlation coefficient decreases when a constant is added to each number. The correlation coefficient remains the same when a constant is added to each number. The correlation coefficient increases when a constant is added to each number. Cost Miles 205 967 445 3115 296 1987 153 426 491 3006
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