method. S ) 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 + bxit €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
method. S ) 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 + bxit €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
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.6: Regression And Median-fit Lines
Problem 6PPS
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Answer -
(A) N = 64
(B) N = 192
( C) N = 96
Posting same question third time please solve correctly.
Transcribed Image Text:method. S
) 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 + bxit €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+6) = 0.95
where = 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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