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): |2 3 4 5 |8 9 7 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.
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): |2 3 4 5 |8 9 7 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.
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter5: A Survey Of Other Common Functions
Section5.4: Combining And Decomposing Functions
Problem 8E
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Transcribed Image Text:QI.
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):
5 6
Pressure (x) 1.02 2.08 2.89 4.01 5.32 5.83 7.26 7.96 9.11 9.99
1.15 0.85 1.56 1.72 4.32 5.07 5.00 5.31 6.17 7.04
1
2
3
7
8
9 10
4
Flux (y)
(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 Syg = 83.25961 and S, = 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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