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
Chapter3: Polynomial Functions
Section: Chapter Questions
Problem 18T
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(a) N = 64
(b) N = 192
(c) N = 96
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