The Turbine Oil Oxidation Test (TOST) and the Rotating Bomb Oxidation Test (RBOT) are two different procedures for evaluating the oxidation stability of steam turbine oils. An article reported the accompanying observations on x = TOST time (hr) and y=RBOT time (min) for 12 oil specimens. TOST RBOT TOST RBOT 4200 3575 370 340 3750 375 4870 4475 3450 400 375 285 3700 4050 2795 315 350 195 2725 3750 3275 220 345 290 (a) Calculate the value of the sample correlation coefficient. (Round your answer to four decimal places.) r= Interpret the value of the sample correlation coefficient. O The value of r indicates that there is a strong, negative linear relationship between TOST and RBOT. O The value of r indicates that there is a strong, positive linear relationship between TOST and RBOT. O The value of r indicates that there is a weak, negative linear relationship between TOST and RBOT. O The value of r indicates that there is a weak, positive linear relationship between TOST and RBOT. (b) How would the value of r be affected if we had let x-RBOT time and y = TOST time? O The value of r would be multiplied by -1. O The value of r would decrease. O The value of r would increase. O The value of r would remain the same. (c) How would the value of r be affected if RBOT time were expressed in hours? O The value of r would decrease. O The value of r would increase. O The value of r would be multiplied by -1. O The value of r would remain the same.

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The Turbine Oil Oxidation Test (TOST) and the Rotating Bomb Oxidation Test (RBOT) are two different procedures for evaluating the oxidation stability of steam turbine oils. An article reported the accompanying observations on x = TOST time (hr) and y = RBOT time
(min) for 12 oil specimens.
TOST
RBOT
4200
370
TOST
RBOT
3575 3750 3700
340
375
315
4050
350
4870 4475 3450
400 375
285
(a) Calculate the value of the sample correlation coefficient. (Round your answer to four decimal places.)
2795
195
2725 3750
220
345
3275
290
Interpret the value of the sample correlation coefficient.
O The value of r indicates that there is a strong, negative linear relationship between TOST and RBOT.
O The value of r indicates that there is a strong, positive linear relationship between TOST and RBOT.
O The value of r indicates that there is a weak, negative linear relationship between TOST and RBOT.
O The value of r indicates that there is a weak, positive linear relationship between TOST and RBOT.
(b) How would the value of r be affected if we had let x = RBOT time and y = TOST time?
O The value of r would be multiplied by -1.
O The value of r would decrease.
O The value of r would increase.
O The value of r would remain the same.
(c) How would the value of r be affected if RBOT time were expressed in hours?
O The value of r would decrease.
O The value of r would increase.
O The value of r would be multiplied by -1.
O The value of r would remain the same.
Transcribed Image Text:The Turbine Oil Oxidation Test (TOST) and the Rotating Bomb Oxidation Test (RBOT) are two different procedures for evaluating the oxidation stability of steam turbine oils. An article reported the accompanying observations on x = TOST time (hr) and y = RBOT time (min) for 12 oil specimens. TOST RBOT 4200 370 TOST RBOT 3575 3750 3700 340 375 315 4050 350 4870 4475 3450 400 375 285 (a) Calculate the value of the sample correlation coefficient. (Round your answer to four decimal places.) 2795 195 2725 3750 220 345 3275 290 Interpret the value of the sample correlation coefficient. O The value of r indicates that there is a strong, negative linear relationship between TOST and RBOT. O The value of r indicates that there is a strong, positive linear relationship between TOST and RBOT. O The value of r indicates that there is a weak, negative linear relationship between TOST and RBOT. O The value of r indicates that there is a weak, positive linear relationship between TOST and RBOT. (b) How would the value of r be affected if we had let x = RBOT time and y = TOST time? O The value of r would be multiplied by -1. O The value of r would decrease. O The value of r would increase. O The value of r would remain the same. (c) How would the value of r be affected if RBOT time were expressed in hours? O The value of r would decrease. O The value of r would increase. O The value of r would be multiplied by -1. O The value of r would remain the same.
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