QI.When purifying drinking water you can use a so-called membrane filtration. In anexperiment one wishes to examine the relationship between the pressure drop across amembrane and the flux (flow per area) through the membrane. We observe thefollowing 10 related values of pressure (x) and flux (y):5 6Pressure (x) 1.02 2.08 2.89 4.01 5.32 5.83 7.26 7.96 9.11 9.991.15 0.85 1.56 1.72 4.32 5.07 5.00 5.31 6.17 7.04123789 104Flux (y)(a) Fit the least square regression equation to predict the flux (flow per area) throughthe 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 amembrane is 4.5.

Given data indicates the pressure drop across a membrane and the flux through the membrane. The…

Answered: When purifying drinking water you can…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter7: Analytic Trigonometry

Section7.6: The Inverse Trigonometric Functions

Problem 92E

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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 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…
The efficiency for a steel specimen immersed in a phosphating tank is the weight of the phosphate coating divided by the metal loss (both in mg/ft2). An article gave the accompanying data on tank temperature (x) and efficiency ratio (y). Temp. 171 Ratio y = Ratio Temp. 181 181 173 Ratio 0.76 1.35 1.44 Temp. 183 183 174 1.53 1.58 1.69 USE SALT 181 175 1.09 181 175 176 1.05 1.18 181 182 177 183 185 185 186 0.98 182 2.11 2.19 0.92 1.45 187 1.71 1.98 2.62 1.43 2.56 2.96 1.95 178 1.88 183 1.00 189 3.14 (a) Determine the equation of the estimated regression line. (Round all numerical values to four decimal places.) (b) Calculate a point estimate for true average efficiency ratio when tank temperature is 183. (Round your answer to four decimal places.) (c) Calculate the values of the residuals from the least squares line for the four observations for which temperature is 183. (Round your answers to two decimal places.) (183, 1.00) (183, 1.71) (183, 1.98) (183, 2.62) Why do they not all have…
The efficiency for a steel specimen immersed in a phosphating tank is the weight of the phosphate coating divided by the metal loss (both in mg/ft). An article gave the accompanying data on tank temperature (x) and efficiency ratio (y). Temp. 171 173 174 175 175 176 177 178 Ratio 0.86 1.29 1.40 1.05 1.01 1.04 0.94 1.78 Temp. 181 181 181 181 181 182 182 183 Ratio 1.41 1.56 1.63 2.03 2.07 0.76 1.47 0.84 Temp. 183 183 183 185 185 186 187 189 Ratio 1.75 1.92 2.64 1.39 2.58 2.90 1.81 3.16 In USE SALT (a) Determine the equation of the estimated regression line. (Round all numerical values to four decimal places.) y = -15.3081 + 0.0939x (b) Calculate a point estimate for true average efficiency ratio when tank temperature is 183. (Round your answer to four decimal places.) 1.8756 (c) Calculate the values of the residuals from the least squares line for the four observations for which temperature is 183. (Round your answers to two decimal places.) (183, 0.84) |-1.03 (183, 1.75) |-0.12 (183,…

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