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 artide gave the accompanying data on tank temperature (x) and efficiency ratio (y).Temp.Ratio174 176 1770.81 1.32 1.51178 1781.120.98Temp. 184 184 184Ratio 1.52 1.57 1.54 2.08 2.20184 184Temp. 186 186 186Ratio1.84 1.97 2.61(a) Determine the equation of the estimated regression line.1881881.56 2.531791851891811.09 1.79180185 1861.421900.931922.95 1.86 3.05(b) Calculate a point estimate for true average efficiency ratio when tank temperature is 186.(c) Calculate the values of the residuals from the least squares line for the four observations for which temperature is 186.Why do they not all have the same sign?(d) What proportion of the observed variation in efficiency ratio can be attributed to the simple linear regression relationship between the two variables?

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Answered: The efficiency for a steel specimen…

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 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…
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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. 173 175 176 177 177 178 179 180 Ratio 0.94 1.21 1.44 1.05 1.09 1.02 0.96 1.88 Temp. 183 183 183 183 183 184 184 185 Ratio 1.53 1.50 1.57 2.07 2.05 0.86 1.53 0.80 Temp. 185 185 185 187 187 188 189 191 Ratio 1.71 1.96 2.76 1.59 2.60 3.10 1.81 3.18 In USE SALT (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 185. (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 185. (Round your answers to two decimal places.) (185, 0.80) (185, 1.71) (185, 1.96) (185, 2.76) Why do they not all have…
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