In a certain type of metal test specimen, the normal stress on a specimen is known to be functionally related to the shear resistance. The following is a set of coded experimental data on the two variables: Normal Stress, x Shear Resistance, y (MPa) (MPa)
In a certain type of metal test specimen, the normal stress on a specimen is known to be functionally related to the shear resistance. The following is a set of coded experimental data on the two variables: Normal Stress, x Shear Resistance, y (MPa) (MPa)
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Question
![In a certain type of metal test specimen, the
normal stress on a specimen is known to be
functionally related to the shear resistance.
The following is a set of coded experimental
data on the two variables:
Normal Stress, x
Shear Resistance, y
(MPa)
(MPa)
26.8
26.5
25.4
27.3
28.9
24.2
23.6
27.1
27.7
23.6
23.9
25.9
24.7
26.3
28.1
22.5
26.9
21.7
27.4
21.4
22.6
25.8
25.6
24.9
(a) Determine the equation of the best-fit
line that relates the normal stress and the
shear resistance of the metal specimen.
Evaluate the goodness of the fit of the said
equation.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3672f576-43f4-4eea-abcc-b344a08e7f39%2F5c2bcdd0-746c-409c-b146-d30b3810440d%2Fcpsacga_processed.png&w=3840&q=75)
Transcribed Image Text:In a certain type of metal test specimen, the
normal stress on a specimen is known to be
functionally related to the shear resistance.
The following is a set of coded experimental
data on the two variables:
Normal Stress, x
Shear Resistance, y
(MPa)
(MPa)
26.8
26.5
25.4
27.3
28.9
24.2
23.6
27.1
27.7
23.6
23.9
25.9
24.7
26.3
28.1
22.5
26.9
21.7
27.4
21.4
22.6
25.8
25.6
24.9
(a) Determine the equation of the best-fit
line that relates the normal stress and the
shear resistance of the metal specimen.
Evaluate the goodness of the fit of the said
equation.
![(b) Predict the magnitude of the normal
stress acting on the metal specimen
provided that its shear resistance is 24.0
MPa.
(c) Predict the magnitude of the shear
resistance of the metal specimen if a normal
stress of 29.0 MPa is acting on it.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3672f576-43f4-4eea-abcc-b344a08e7f39%2F5c2bcdd0-746c-409c-b146-d30b3810440d%2Fqyqrwbu_processed.png&w=3840&q=75)
Transcribed Image Text:(b) Predict the magnitude of the normal
stress acting on the metal specimen
provided that its shear resistance is 24.0
MPa.
(c) Predict the magnitude of the shear
resistance of the metal specimen if a normal
stress of 29.0 MPa is acting on it.
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