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 4200 3600 3750 3675 4050 2745 RBOT 370 335 375 310 350 200 TOST 4870 4475 3450 2675 3750 3275 RBOT 400 370 285 230 345 290 (a) Calculate the value of the sample correlation coefficient. (Round your answer to four decimal places.) Interpret the value of the sample correlation coefficient. O The value of r indicates that there is a weak, positive linear relationship between TOST and RBOT. 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 weak, 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. (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 increase. O The value of r would remain the same. O The value of r would be multiplied by -1. O The value of r would decrease. (c) How would the value of r be affected if RBOT time were expressed in hours? O The value of r would increase. O The value of r would decrease. 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
4200
3600
3750
3675
4050
2745
RBOT
370
335
375
310
350
200
TOST
4870
4475
3450
2675
3750
3275
RBOT
400
370
285
230
345
290
(a) Calculate the value of the sample correlation coefficient. (Round your answer to four decimal places.)
r3=
Interpret the value of the sample correlation coefficient.
O The value of rindicates that there is a weak, positive linear relationship between TOST and RBOT.
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 weak, negative linear relationship between TOST and RBOT.
O The value of rindicates that there is a strong, 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 increase.
O The value of r would remain the same.
O The value of r would be multiplied by -1.
O The value of r would decrease.
(c) How would the value of r be affected if RBOT time were expressed in hours?
O The value of r would increase.
O The value ofr would decrease.
O The value of r would be multiplied by -1.
O The value of r would remain the same.
(d) Construct a normal probability plot for TOST time.
TOST (hr)
TOST (hr)
5000
5000
4500
4500
4000-
4000-
3500
3500
3000
3000
-1
1
-1
1
TOST (hr)
TOST (hr)
500
5000
4500
4500
4000
4000
3500
3500
3000
3000-
-1
2
-1
1
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 4200 3600 3750 3675 4050 2745 RBOT 370 335 375 310 350 200 TOST 4870 4475 3450 2675 3750 3275 RBOT 400 370 285 230 345 290 (a) Calculate the value of the sample correlation coefficient. (Round your answer to four decimal places.) r3= Interpret the value of the sample correlation coefficient. O The value of rindicates that there is a weak, positive linear relationship between TOST and RBOT. 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 weak, negative linear relationship between TOST and RBOT. O The value of rindicates that there is a strong, 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 increase. O The value of r would remain the same. O The value of r would be multiplied by -1. O The value of r would decrease. (c) How would the value of r be affected if RBOT time were expressed in hours? O The value of r would increase. O The value ofr would decrease. O The value of r would be multiplied by -1. O The value of r would remain the same. (d) Construct a normal probability plot for TOST time. TOST (hr) TOST (hr) 5000 5000 4500 4500 4000- 4000- 3500 3500 3000 3000 -1 1 -1 1 TOST (hr) TOST (hr) 500 5000 4500 4500 4000 4000 3500 3500 3000 3000- -1 2 -1 1
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