Test (1031) and the Rotating Bomb Uxidation 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 3625 RBOT 370 335 TOST 4870 4475 RBOT 400 375 3750 3675 4050 2795 375 315 350 205 3450 285 (a) Calculate.the.value of the sample correlation coefficient. (Round your answer to four decimal places.) re 2700 3750 3275 220 345 280 Enter a number. Interpret the value of the sample correlation coefficient. 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, positive 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, 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 increase. o The value of r would remain the same. The value of r would decrease. 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. o The value of r would remain the same. The value of r would increase. The value of r would decrease.
Test (1031) and the Rotating Bomb Uxidation 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 3625 RBOT 370 335 TOST 4870 4475 RBOT 400 375 3750 3675 4050 2795 375 315 350 205 3450 285 (a) Calculate.the.value of the sample correlation coefficient. (Round your answer to four decimal places.) re 2700 3750 3275 220 345 280 Enter a number. Interpret the value of the sample correlation coefficient. 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, positive 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, 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 increase. o The value of r would remain the same. The value of r would decrease. 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. o The value of r would remain the same. The value of r would increase. The value of r would decrease.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
Problem 9PPS
Related questions
Question
Please calculate r, t, and the p-value
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
3625 3750 3675 4050 2795
335
375
315
350
205
4870 4475
400
375
3450 2700
285
220
3750 3275
345
280
(a)..Calculate.the.value of the sample correlation coefficient. (Round your answer to four decimal places.)
x
Enter a number.
Interpret the value of the sample correlation coefficient.
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, positive 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, 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 increase.
o The value of r would remain the same.
The value of r would decrease.
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.
o The value of r would remain the same.
The value of r would increase.
The value of r would decrease.
Transcribed Image Text:Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to three decimal places.)
t =
P-value =
State the conclusion in the problem context.
O Fail to reject Ho. The model is not useful.
O Reject Ho. The model is useful.
Fail to reject Ho. The model is useful.
Reject Ho. The model is not useful.
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