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 3625 3750 3700 4050 2770 4870 4500 3450 2675 3750 3300 RBOT 370 340 375 305 350 205 400 370 285 230 345 285 (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. 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, 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? The value of r would decrease. The value of r would increase. The value of r would remain the same. The value of r would be multiplied by -1. (c) How would the value of r be affected if RBOT time were expressed in hours? O The value of r would be multiplied by -1. The value of r would decrease. The value of r would remain the same. The value of r would increase. You may need to use the appropriate table in the Appendix of Tables to answer this question.

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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 oll specimens.
3625 3750 3700 4050 2770 4870 4500 3450 2675 3750 3300
TOST 4200
RBOT
370 340 375 305 350 205 400 370 285 230 345 285
(a) Calculate the value of the sample correlation coefficient. (Round your answer to four decimal places.)
Interpret the value of the sample correlation coefficient.
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, negative linear relationship between TOST and RBOT.
The value of r indicates that there is a weak, negative linear relationship between TOST and RBOT.
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 decrease.
The value of r would increase.
The value of r would remain the same.
The value of r would be multiplied by -1.
(c) How would the value of r be affected if RBOT time were expressed in hours?
The value of r would be multiplied by -1.
The value of r would decrease.
The value of r would remain the same.
O The value of r would increase.
You may need to use the appropriate table in the Appendix of Tables to answer this question.
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 for x = TOST time (hr) and y = RBOT time (min) for 12 oll specimens. 3625 3750 3700 4050 2770 4870 4500 3450 2675 3750 3300 TOST 4200 RBOT 370 340 375 305 350 205 400 370 285 230 345 285 (a) Calculate the value of the sample correlation coefficient. (Round your answer to four decimal places.) Interpret the value of the sample correlation coefficient. 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, negative linear relationship between TOST and RBOT. The value of r indicates that there is a weak, negative linear relationship between TOST and RBOT. 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 decrease. The value of r would increase. The value of r would remain the same. The value of r would be multiplied by -1. (c) How would the value of r be affected if RBOT time were expressed in hours? The value of r would be multiplied by -1. The value of r would decrease. The value of r would remain the same. O The value of r would increase. You may need to use the appropriate table in the Appendix of Tables to answer this question.
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