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 3575 340 RBOT 370 TOST RBOT 3750 375 3700 4050 2795 195 315 350 4870 4475 3450 2725 400 375 285 220 3750 345 3275 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.

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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
TOST
RBOT
4200
370
3575
340
3750 3700 4050
350
375
315
4870 4475 3450 2725
400
375 285 220
3750
345
2795
195
3275
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.
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.
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.
The value of r would increase.
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 TOST RBOT 4200 370 3575 340 3750 3700 4050 350 375 315 4870 4475 3450 2725 400 375 285 220 3750 345 2795 195 3275 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. 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. 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. The value of r would increase. 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)
5000
4500
4000
3500
3000
TOST (hr)
5000
4500
4000
3500
3000
-1
-1
0
0
1
1
2
Z
Z
2
TOST (hr)
5000
O
4500
4000
3500
3000
-1
TOST (hr)
5000
4500
E
4000
3500
3000
-1
0
0
1
1
2
2
Z
Z
Transcribed Image Text:(d) Construct a normal probability plot for TOST time. TOST (hr) 5000 4500 4000 3500 3000 TOST (hr) 5000 4500 4000 3500 3000 -1 -1 0 0 1 1 2 Z Z 2 TOST (hr) 5000 O 4500 4000 3500 3000 -1 TOST (hr) 5000 4500 E 4000 3500 3000 -1 0 0 1 1 2 2 Z Z
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