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(e) Construct a 98% confidence interval for the mean flux for the pressure drop across a membrane is 4.5.

(e) Construct a 98% confidence interval for the mean flux for the pressure drop across a membrane is 4.5.

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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When purifying drinking water you can use a so-called membrane filtration. In an experiment one wishes to examine the relationship between the pressure drop across a membrane and the flux (flow per area) through the membrane. We observe the following 10 related values of pressure (x) and flux (y): 1 2 3 4 5 6 7 8 9 10 Pressure (x) 1.02 2.08 2.89 4.01 5.32 5.83 7.26 7.96 9.11 9.99 Flux (y) 1.15 0.85 1.56 1.72 4.32 5.07 5.00 5.31 6.17 7.04 (a) Fit the least square regression equation to predict the flux (flow per area) through the pressure drop across a membrane. (b) Find the estimated flux when the pressure drop across a membrane is 4.50. (c) Calculate the coefficient of correlation. Interpret your result. (d) Given Sxx = 83.25961 and Se = 0.64460653. Test, at the 0.01 level of significance, whether there is linear relationship between the pressure drop across a membrane and the flux (flow per area) through the membrane. (e) Construct a 98% confidence interval for the mean flux for the pressure drop across a membrane is 4.5.
Transcribed Image Text:When purifying drinking water you can use a so-called membrane filtration. In an experiment one wishes to examine the relationship between the pressure drop across a membrane and the flux (flow per area) through the membrane. We observe the following 10 related values of pressure (x) and flux (y): 1 2 3 4 5 6 7 8 9 10 Pressure (x) 1.02 2.08 2.89 4.01 5.32 5.83 7.26 7.96 9.11 9.99 Flux (y) 1.15 0.85 1.56 1.72 4.32 5.07 5.00 5.31 6.17 7.04 (a) Fit the least square regression equation to predict the flux (flow per area) through the pressure drop across a membrane. (b) Find the estimated flux when the pressure drop across a membrane is 4.50. (c) Calculate the coefficient of correlation. Interpret your result. (d) Given Sxx = 83.25961 and Se = 0.64460653. Test, at the 0.01 level of significance, whether there is linear relationship between the pressure drop across a membrane and the flux (flow per area) through the membrane. (e) Construct a 98% confidence interval for the mean flux for the pressure drop across a membrane is 4.5.
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