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 for x = TOST time (hr) and y = RBOT time (min) for 12 oil specimens. TOST 4200 3575 3750 3700 4050 2770 4870 4475 3450 2700 3750 3325 RBOT 370 345 375 310 350 205 400 375 285 220 345 280 (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. The value of r indicates that there is a strong, negative linear relationship between TOST and RBOT.The value of r indicates that there is a weak, positive linear relationship between TOST and RBOT. 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. (b) How would the value of r be affected if we had let x = RBOT time and y = TOST time? The value of r would remain the same.The value of r would decrease. The value of r would be multiplied by −1.The value of r would increase. (c) How would the value of r be affected if RBOT time were expressed in hours? The value of r would increase.The value of r would remain the same. The value of r would be multiplied by −1.The value of r would decrease.
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 for x = TOST time (hr) and y = RBOT time (min) for 12 oil specimens. TOST 4200 3575 3750 3700 4050 2770 4870 4475 3450 2700 3750 3325 RBOT 370 345 375 310 350 205 400 375 285 220 345 280 (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. The value of r indicates that there is a strong, negative linear relationship between TOST and RBOT.The value of r indicates that there is a weak, positive linear relationship between TOST and RBOT. 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. (b) How would the value of r be affected if we had let x = RBOT time and y = TOST time? The value of r would remain the same.The value of r would decrease. The value of r would be multiplied by −1.The value of r would increase. (c) How would the value of r be affected if RBOT time were expressed in hours? The value of r would increase.The value of r would remain the same. The value of r would be multiplied by −1.The value of r would decrease.
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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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 for x = TOST time (hr) and y = RBOT time (min) for 12 oil specimens.
| TOST | 4200 | 3575 | 3750 | 3700 | 4050 | 2770 | 4870 | 4475 | 3450 | 2700 | 3750 | 3325 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| RBOT | 370 | 345 | 375 | 310 | 350 | 205 | 400 | 375 | 285 | 220 | 345 | 280 |
(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.
(b) How would the value of r be affected if we had let x = RBOT time and y = TOST time?
(c) How would the value of r be affected if RBOT time were expressed in hours?
r =
Interpret the value of the sample correlation coefficient.
The value of r indicates that there is a strong, negative linear relationship between TOST and RBOT.The value of r indicates that there is a weak, positive linear relationship between TOST and RBOT. 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.
(b) How would the value of r be affected if we had let x = RBOT time and y = TOST time?
The value of r would remain the same.The value of r would decrease. The value of r would be multiplied by −1.The value of r would increase.
(c) How would the value of r be affected if RBOT time were expressed in hours?
The value of r would increase.The value of r would remain the same. The value of r would be multiplied by −1.The value of r would decrease.
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