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):1234578.910Pressure (x)1.022.082.894.015.325.837.267.96 | 9.119.99Flux (y)1.150.851.561.724.325.075.005.316.177.04(a) Fit the least square regression equation to predict the flux (flow per area) throughthepressure 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 amembrane is 4.5.

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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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Insert Format Tools Add-ons Help Last edit was seconds ago В I U 三=三| 三|ニ三▼扫▼EE Normal text Comlc San. 10 100% > 1 I 2 3 II 4 I 5 I 6. 7 Taltson Lake is in the Canadian Northwest Territories. This lake has many fish. The following data was obtained by two fishermen visiting the lake. Let x = length of a fish in inches and let = weight in pounds. 46 x (inches) Ey (pounds) 41 15 20 24 36 12 24 the document will 34. Find the following values. a. SSxy=355 b. SSx=491.2 c. r-0.9608 d slope=355/491.2=0.7227 e y-intercept=-12.1388 f. linear regression equation:y=-12.1388+0.7227 9. coefficient of determination=| h. The point that must be used to find the y intercept is: i. The y value when x is 25: j. Make a scatterplot of the data and insert the line of best fit along with its equation (don't forget titles/labels) k. calculate the predicted y values, residuals, make the residual plot (don't forget titles/labels), and interpret what the residual plot tells us: ip
Need help with (c) and (d) Mist (airborne droplets or aerosols) is generated when metal-removing fluids are used in machining operations to cool and lubricate the tool and workpiece. Mist generation is a concern to OSHA, which has recently lowered substantially the workplace standard. An article gave the accompanying data on x = fluid-flow velocity for a 5% soluble oil (cm/sec) and y = the extent of mist droplets having diameters smaller than 10 µm (mg/m3): x 88 177 182 354 369 442 970 y 0.39 0.60 0.50 0.66 0.61 0.69 0.92 (a) The investigators performed a simple linear regression analysis to relate the two variables. Does a scatter plot of the data support this strategy? (b) What proportion of observed variation in mist can be attributed to the simple linear regression relationship between velocity and mist? (Round your answer to three decimal places.) (c) The investigators were particularly interested in the impact on mist of increasing velocity from 100 to 1000 (a…
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Suppose you are interested in uncovering the relationship between snowfall (in inches) in the month of December and the flow rate of Yosemite Falls in April (in cubic meters per second) over the span of years from 2005 to 2010 (inclusive). You observe the following snowfall and Yosemite Falls flowrate data: December Snowfall (X)=[16,19,18,16,20,17] and April Flowrate (Y)=[22,23,21,18,26,21]. What is TSS? About 4.37 About 6.27 About 13.33 About 22.46 None of the above are close
The velocities (in feet/min) of currents in the Columbia River in Washington State were measured every minute for just over an hour at a depth 95% the depth of the river. The velocities are listed in the table below. 210 208 197 194 210 221 199 210 210 205 201 194 214 163 201 203 208 190 210 217 217 201 184 188 172 184 214 199 205 210 210 201 221 205 192 212 208 226 181 197 212 201 212 194 203 181 202 188 218 201 197 208 197 199 201 199 199 190 205 197 201 236 194 214 210 194 Use this information to answer the following problems.
A tank is leaking at an increasing rate as indicated by the data below. Use the table to answer the following questions. Time (hr) 8 1 2 50 150 3 4 5 6 7 240 290 410 550 600 720 Leakage (gal/hr) 0 30 An upper limit estimate for the amount of material leaked after 4 hours is 730 gal. (Simplify your answer.) A lower limit estimate for the amount of material leaked after 4 hours is (Simplify your answer.) gal.
Medical studies of obesity use the Body Mass Index (BMI), which is defined by w BMI = where w is weight in kilograms and h is height in meters. (a) Using the fact that 1 kg = 2.2 lb and 1 meter = 39.4", calculate the BMI of a 5'5" woman who weighs 150 lb. (b) Which has more effect on the BMI: a 10% weight increase or a 10% height decrease? Justify your answer.
Tme 0,5. Census Dureau eeds to estimate Lhe meUlan income of TeImaies in Lne 0,5, They collect incomes from 3500 females. State the individual, variable, population, sample, parameter, and statistic:
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…
Can balloons hold more air or more water before bursting? A student purchased a large bag of 12-inch balloons. He randomly selected 10 balloons from the bag and then randomly assigned half of them to be filled with air until bursting and the other half to be filled with water until bursting. He used devices to measure the amount of air and water was dispensed until the balloons burst. Here are the data
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