Use a computer or statistical calculator to calculate the correlation coefficient in parts a through c below. Cost 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. 190 413 256 Miles D 958 3095 (Round to three decimal places as needed.) 1998 429 3008 r= 90 436 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? Kilometers D 1541 Cost 190 413 (Round to three decimal places as needed.) 4980 3215 256 90 690 4840 436 O A. The correlation is The correlation coefficient remains the same when the numbers are multiplied by a positive constant. O B. The correlation is The correlation coefficient increases when the numbers are multiplied by a positive constant. O C. The correlation is The correlation coefficient decreases when the numbers are multiplied by a positive constant. c. Suppose a tax is added to each flight. Forty-five dollars is added to every flight, no matter how long it is. The table shows the new data. What happens to the correlation Cost 235 Miles O coefficient when a constant is added to each number? 958 458 3095 301 135 1998 429 (Round to three decimal places as needed.) 481 3008 O A. The correlation is The correlation coefficient increases when a constant is added to each number. O B. The correlation is The correlation coefficient remains the same when a constant is added to each number. O C. The correlation is .The correlation coefficient decreases when a constant is added to each number.

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Use a computer or statistical calculator to calculate the correlation coefficient in parts a through c below.
Cost
Miles
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.
190
958
413
3095
r=
(Round to three decimal places as needed.)
256
1998
90
429
436
3008
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 O
190
1541
413
4980
(Round to three decimal places as needed.)
256
3215
90
690
436
4840
A. The correlation is
The correlation coefficient remains the same when the numbers are multiplied by a positive constant.
B. The correlation is
The correlation coefficient increases when the numbers are multiplied by a positive constant.
O C. The correlation is
The correlation coefficient decreases when the numbers are multiplied by a positive constant.
c. Suppose a tax is added to each flight. Forty-five dollars is added to every flight, no matter how long it is. The table shows the new data. What happens to the correlation Cost
Miles
coefficient when a constant is added to each number?
235
458
958
3095
301
1998
(Round to three decimal places as needed.)
135
429
481
3008
O A. The correlation is
The correlation coefficient increases when a constant is added to each number.
O B. The correlation is
The correlation coefficient remains the same when a constant is added to each number.
C. The correlation is
.The correlation coefficient decreases when a constant is added to each number.
Transcribed Image Text:Use a computer or statistical calculator to calculate the correlation coefficient in parts a through c below. Cost Miles 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. 190 958 413 3095 r= (Round to three decimal places as needed.) 256 1998 90 429 436 3008 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 O 190 1541 413 4980 (Round to three decimal places as needed.) 256 3215 90 690 436 4840 A. The correlation is The correlation coefficient remains the same when the numbers are multiplied by a positive constant. B. The correlation is The correlation coefficient increases when the numbers are multiplied by a positive constant. O C. The correlation is The correlation coefficient decreases when the numbers are multiplied by a positive constant. c. Suppose a tax is added to each flight. Forty-five dollars is added to every flight, no matter how long it is. The table shows the new data. What happens to the correlation Cost Miles coefficient when a constant is added to each number? 235 458 958 3095 301 1998 (Round to three decimal places as needed.) 135 429 481 3008 O A. The correlation is The correlation coefficient increases when a constant is added to each number. O B. The correlation is The correlation coefficient remains the same when a constant is added to each number. C. The correlation is .The correlation coefficient decreases when a constant is added to each number.
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