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
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
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
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 4 steps with 1 images
Recommended textbooks for you
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman