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During oil drilling operations, components of the drilling assembly may suffer from sulfide stress cracking. An article reported on a study in which the composition of a standard grade of steel was analyzed. The following data on y = threshold stress (% SMYS) and x = yield strength (MPa) was read from a graph in the article (which also included the equation of the least squares line). x 634 643 712 709 835 820 810 870 856 923 y 100 92 78 75 87 83 74 63 923 878 937 55 57 47 43 948 Σ*, = 10,575, ΣΥ, = 892, Σx? = 8,739,877, Σy? = 65,852, Σ×y, = 701,865 (a) What proportion of observed variation in stress can be attributed to the approximate linear relationship between the two variables? (Round your answer to four decimal places.) (b) Compute the estimated standard deviation sa (Round your answer to four decimal places.) Does it appear that this true average change has been precisely estimated? has been precisely estimated. O This is a fairly wide interval, so O This is a fairly wide interval, so O This is a fairly wide interval, so O This is a fairly narrow interval, so O This is a fairly narrow interval, so ₁ has been precisely estimated. , has not been precisely estimated. , has been precisely estimated. has not been precisely estimated. 38 (c) Calculate a confidence interval using confidence level 95% for the expected change in stress associated with a 1 MPa increase in strength. (Round your answers to three decimal places.)

During oil drilling operations, components of the drilling assembly may suffer from sulfide stress cracking. An article reported on a study in which the composition of a standard grade of steel was analyzed. The following data on y = threshold stress (% SMYS) and x = yield strength (MPa) was read from a graph in the article (which also included the equation of the least squares line). x 634 643 712 709 835 820 810 870 856 923 y 100 92 78 75 87 83 74 63 923 878 937 55 57 47 43 948 Σ*, = 10,575, ΣΥ, = 892, Σx? = 8,739,877, Σy? = 65,852, Σ×y, = 701,865 (a) What proportion of observed variation in stress can be attributed to the approximate linear relationship between the two variables? (Round your answer to four decimal places.) (b) Compute the estimated standard deviation sa (Round your answer to four decimal places.) Does it appear that this true average change has been precisely estimated? has been precisely estimated. O This is a fairly wide interval, so O This is a fairly wide interval, so O This is a fairly wide interval, so O This is a fairly narrow interval, so O This is a fairly narrow interval, so ₁ has been precisely estimated. , has not been precisely estimated. , has been precisely estimated. has not been precisely estimated. 38 (c) Calculate a confidence interval using confidence level 95% for the expected change in stress associated with a 1 MPa increase in strength. (Round your answers to three decimal places.)

MATLAB: An Introduction with Applications
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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During oil drilling operations, components of the drilling assembly may suffer from sulfide stress cracking. An article reported on a study in which the composition of a standard grade of steel was analyzed. The following data on y = threshold stress (% SMYS) and x = yield strength (MPa) was read from a graph in the article (which also included the equation of the least squares line). X 634 643 712 709 y S = 100 92 87 83 835 78 (b) Compute the estimated standard deviation s 820 810 75 74 870 63 856 923 878 937 57 55 ΣΥ, = 10,575, ΣΥ, = 892, Σχιζ = 8,739,877, = 8,739,877, Σy? L x = 65,852, ExY, = 701,865 (a) What proportion of observed variation in stress can be attributed to the approximate linear relationship between the two variables? (Round your answer to four decimal places.) (Round your answer to four decimal places.) SB₁ 47 Does it appear that this true average change has been precisely estimated? O This is a fairly wide interval, so has been precisely estimated. 0 O This is a fairly wide interval, so ₁ has been precisely estimated. O This is a fairly wide interval, so ₁ has not been precisely estimated. O This is a fairly narrow interval, so has been precisely estimated. 1 948 43 38 (c) Calculate a confidence interval using confidence level 95% for the expected change in stress associated with a 1 MPa increase in strength. (Round your answers to three decimal places.) O This is a fairly narrow interval, so has not been precisely estimated. 0
Transcribed Image Text:During oil drilling operations, components of the drilling assembly may suffer from sulfide stress cracking. An article reported on a study in which the composition of a standard grade of steel was analyzed. The following data on y = threshold stress (% SMYS) and x = yield strength (MPa) was read from a graph in the article (which also included the equation of the least squares line). X 634 643 712 709 y S = 100 92 87 83 835 78 (b) Compute the estimated standard deviation s 820 810 75 74 870 63 856 923 878 937 57 55 ΣΥ, = 10,575, ΣΥ, = 892, Σχιζ = 8,739,877, = 8,739,877, Σy? L x = 65,852, ExY, = 701,865 (a) What proportion of observed variation in stress can be attributed to the approximate linear relationship between the two variables? (Round your answer to four decimal places.) (Round your answer to four decimal places.) SB₁ 47 Does it appear that this true average change has been precisely estimated? O This is a fairly wide interval, so has been precisely estimated. 0 O This is a fairly wide interval, so ₁ has been precisely estimated. O This is a fairly wide interval, so ₁ has not been precisely estimated. O This is a fairly narrow interval, so has been precisely estimated. 1 948 43 38 (c) Calculate a confidence interval using confidence level 95% for the expected change in stress associated with a 1 MPa increase in strength. (Round your answers to three decimal places.) O This is a fairly narrow interval, so has not been precisely estimated. 0
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