12. (MINITAB doesn't support this method. See Chapter 8 in the DOE book.) An experiment is required to estimate the slope of response y as a linear function of independent variable x, i.e. the model for y(x) has the form = yi bo+ bị Xi+€i where the b; are regression coefficients that estimate the ß; parameters. The safe range of x values is limited to the interval 20 ≤ x ≤40. The nominal slope is expected to be ẞ₁ = dy/dx = 6 and the experiment must estimate the true slope with 10% precision and 95% confidence, i.e. the 95% confidence interval for the slope parameter B₁ should have the form P(b₁-8
12. (MINITAB doesn't support this method. See Chapter 8 in the DOE book.) An experiment is required to estimate the slope of response y as a linear function of independent variable x, i.e. the model for y(x) has the form = yi bo+ bị Xi+€i where the b; are regression coefficients that estimate the ß; parameters. The safe range of x values is limited to the interval 20 ≤ x ≤40. The nominal slope is expected to be ẞ₁ = dy/dx = 6 and the experiment must estimate the true slope with 10% precision and 95% confidence, i.e. the 95% confidence interval for the slope parameter B₁ should have the form P(b₁-8
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
Answer
(a) N = 64
(b) N = 192
(c) N = 96
Posting same question 4th time. Solve correct way
Transcribed Image Text:12. (MINITAB doesn't support this method. See Chapter 8 in the DOE book.) An experiment is required to
estimate the slope of response y as a linear function of independent variable x, i.e. the model for y(x)
has the form
=
yi bo+ bị Xi+€i
where the b; are regression coefficients that estimate the ß; parameters. The safe range of x values is
limited to the interval 20 ≤ x ≤40. The nominal slope is expected to be ẞ₁ = dy/dx = 6 and the
experiment must estimate the true slope with 10% precision and 95% confidence, i.e. the 95%
confidence interval for the slope parameter B₁ should have the form
P(b₁-8<B₁ <b₁ + 8) = 0.95
where S = 0.6. The standard deviation of the noise is expected to be σ = 24. Determine the total
number of observations required under each of the following experiment designs:
a. All of the observations are concentrated at the two extreme levels of x in a balanced manner.
b. Observations are distributed uniformly between 20 and 40.
c. An equal number of observations are taken at each of x =
20, 30, and 40.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps with 5 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