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 speciment 3600 335 3750 375 2795 205 TOST 4200 RBOT 370 TOST RBOT 4475 3450 2675 375 285 220 3750 3325 285 400 345 (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, 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, 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. (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 be multiplied by -1. O The value of r would remain the same. O The value of r would decrease. 4870 (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 be multiplied by -1. O The value of r would remain the same. O The value of r would decrease. 4000 3500 3000 (d) Construct a normal probability plot for TOST time. TOST (hr) 5000 4500 O 3675 4050 350 310 TOST (hr) 5000 4500 4000 3500 3000 . 0 1 TOST (hr) 5000 4500 4000 3500 3000 O TOST (hr) 5000 4500 4000 • 3500 3000 -1 0 1
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 speciment 3600 335 3750 375 2795 205 TOST 4200 RBOT 370 TOST RBOT 4475 3450 2675 375 285 220 3750 3325 285 400 345 (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, 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, 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. (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 be multiplied by -1. O The value of r would remain the same. O The value of r would decrease. 4870 (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 be multiplied by -1. O The value of r would remain the same. O The value of r would decrease. 4000 3500 3000 (d) Construct a normal probability plot for TOST time. TOST (hr) 5000 4500 O 3675 4050 350 310 TOST (hr) 5000 4500 4000 3500 3000 . 0 1 TOST (hr) 5000 4500 4000 3500 3000 O TOST (hr) 5000 4500 4000 • 3500 3000 -1 0 1
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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
3600 3750 3675
310
RBOT
335
375
TOST 4870
RBOT
400
(a) Calculate the value of the sample correlation coefficient. (Round your answer to four decimal places.)
r=
O The value of r would be multiplied by -1.
O The value of r would remain the same.
O The value of r would decrease.
4500
Interpret the value of the sample correlation coefficient.
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.
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.
4000
4200
370
(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.
(d) Construct a normal probability plot for TOST time.
TOST (hr)
5000
3500
3000
(c) How would the value of r be affected if RBOT time were expressed
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.
O The value of r would decrease.
TOST (hr)
5000
4500
4475
375
4000
3500
3000
O
3450 2675 3750
285
220
345
-1
4050
350
0
0
2795
205
1
3325
285
2
Z
hours?
TOST (hr)
5000
4500
4000
3500
3000
O
TOST (hr)
5000
4500
4000
3500
3000
O
-1
0
1
1
2
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VIEWStep 2: Determine the value of sample correlation coefficient.
VIEWStep 3: Determine the effect of interchanging the variable on correlation coefficient.
VIEWStep 4: Determine the effect of expressing the RBOT time in hours on variable on correlation coefficient.
VIEWStep 5: Construct the normal probability plot fir the TOST time.
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