The article "Application of Radial Basis Function Neural Networks in Optimization of Hard Turning of AISID2 Cold-Worked Tool Steel With a Ceramic Tool" (S. Basak, U. Dixit, and J. Davim, Journal of Engineering Manufacture, 2007:987-998) presents the results of an experiment in which the surface roughness (in um) was measured for 27 D2 steel specimens and compared with the roughness predicted by a neural network model. The results are presented in the following table. True Value (x) Predicted Value (y) 0.45 0.42 0.82 0.70 0.54 0.52 0.41 0.39 0.77 0.74 0.79 0.78 0.25 0.27 0.62 0.60 0.91 0.87 0.52 0.51 1.02 0.91 0.60 0.71 0.58 0.50 0.87 0.91 1.06 1.04 0.45 0.52 1.09 0.97 1.35 1.29 0.57 0.55 1.14 1.01 0.74 0.81 0.62 0.66 1.15 1.06 1.27 1.31 1.31 1.40 1.33 1.41 1.46 1.46 To check the accuracy of the prediction method, the linear model y = Bo + Bix + s is fit. If the prediction method is accurate, the value of Bo will be 0 and the value of B, will be 1. a. Compute the least-squares estimates î, and î,. b. Can you reject the null hypothesis H : Bo = 0? Can you reject the null hypothesis Ho : B1 = 1? C. d. Do the data provide sufficient evidence to conclude that the prediction method is not accurate? Compute a 95% confidence interval for the mean prediction when the true roughness is 0.8 μη. Someone claims that when the true roughness is 0.8 um, the mean prediction is only 0.75/
The article "Application of Radial Basis Function Neural Networks in Optimization of Hard Turning of AISID2 Cold-Worked Tool Steel With a Ceramic Tool" (S. Basak, U. Dixit, and J. Davim, Journal of Engineering Manufacture, 2007:987-998) presents the results of an experiment in which the surface roughness (in um) was measured for 27 D2 steel specimens and compared with the roughness predicted by a neural network model. The results are presented in the following table. True Value (x) Predicted Value (y) 0.45 0.42 0.82 0.70 0.54 0.52 0.41 0.39 0.77 0.74 0.79 0.78 0.25 0.27 0.62 0.60 0.91 0.87 0.52 0.51 1.02 0.91 0.60 0.71 0.58 0.50 0.87 0.91 1.06 1.04 0.45 0.52 1.09 0.97 1.35 1.29 0.57 0.55 1.14 1.01 0.74 0.81 0.62 0.66 1.15 1.06 1.27 1.31 1.31 1.40 1.33 1.41 1.46 1.46 To check the accuracy of the prediction method, the linear model y = Bo + Bix + s is fit. If the prediction method is accurate, the value of Bo will be 0 and the value of B, will be 1. a. Compute the least-squares estimates î, and î,. b. Can you reject the null hypothesis H : Bo = 0? Can you reject the null hypothesis Ho : B1 = 1? C. d. Do the data provide sufficient evidence to conclude that the prediction method is not accurate? Compute a 95% confidence interval for the mean prediction when the true roughness is 0.8 μη. Someone claims that when the true roughness is 0.8 um, the mean prediction is only 0.75/
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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Transcribed Image Text:The article "Application of Radial Basis Function Neural Networks in Optimization of Hard
Turning of AISID2 Cold-Worked Tool Steel With a Ceramic Tool" (S. Basak, U. Dixit, and
J. Davim, Journal of Engineering Manufacture, 2007:987-998) presents the results of an
experiment in which the surface roughness (in um) was measured for 27 D2 steel specimens
and compared with the roughness predicted by a neural network model. The results are
presented in the following table.
True Value (x)
Predicted Value (y)
0.45
0.42
0.82
0.70
0.54
0.52
0.41
0.39
0.77
0.74
0.79
0.78
0.25
0.27
0.62
0.60
0.91
0.87
0.52
0.51
1.02
0.91
0.60
0.71
0.58
0.50
0.87
0.91
1.06
1.04
0.45
0.52
1.09
0.97
Transcribed Image Text:1.35
1.29
0.57
0.55
1.14
1.01
0.74
0.81
0.62
0.66
1.15
1.06
1.27
1.31
1.31
1.40
1.33
1.41
1.46
1.46
To check the accuracy of the prediction method, the linear model y = Bo + Bix + s is fit. If
the prediction method is accurate, the value of Bo will be 0 and the value of B, will be 1.
a. Compute the least-squares estimates î, and î,.
b. Can you reject the null hypothesis H : Bo = 0?
Can you reject the null hypothesis Ho : B1 = 1?
C.
d.
Do the data provide sufficient evidence to conclude that the prediction method is not
accurate?
Compute a 95% confidence interval for the mean prediction when the true roughness is
0.8 μη.
Someone claims that when the true roughness is 0.8 um, the mean prediction is only
0.75/<m. Do these data provide sufficient evidence for you to conclude that this claim
is false? Explain.
e.
f.
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