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method. ) 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+bixi + €i = where the b; are regression coefficients that estimate the ẞi 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 ẞ₁ should have the form = 0.95 P(b₁-8< B₁

method. ) 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+bixi + €i = where the b; are regression coefficients that estimate the ẞi 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 ẞ₁ should have the form = 0.95 P(b₁-8< B₁

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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Answer- (A) N= 64 (B) N=192 (C) N =96
method. ) 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+bixi + €i = where the b; are regression coefficients that estimate the ẞi 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 ẞ₁ should have the form = 0.95 P(b₁-8< B₁ <b₁ + 6) = 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.
Transcribed Image Text:method. ) 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+bixi + €i = where the b; are regression coefficients that estimate the ẞi 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 ẞ₁ should have the form = 0.95 P(b₁-8< B₁ <b₁ + 6) = 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.
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