An article in Biotechnology Progress [“Optimization of Conditions for Bacteriocin Extraction in PEG/Salt Aqueous Two-Phase Systems Using Statistical Experimental Designs” (2001, Vol. 17, pp. 366–368)] reported an experiment to investigate and optimize the extraction of nisin in aqueous two-phase systems (ATPS). Nisin recovery was the dependent variable (y). The two regressor variables were the concentration (%) of PEG 4000 (indicated as x1) and the concentration (%) of Na2SO4 (indicated as x2). The data is shown below. a) Find the fit parameters of the proposed model. b) Establish, b

An article in Biotechnology Progress [“Optimization of Conditions for Bacteriocin Extraction in PEG/Salt Aqueous Two-Phase Systems Using Statistical Experimental Designs” (2001, Vol. 17, pp. 366–368)] reported an experiment to investigate and optimize the extraction of nisin in aqueous two-phase systems (ATPS). Nisin recovery was the dependent variable (y). The two regressor variables were the concentration (%) of PEG 4000 (indicated as x1) and the concentration (%) of Na2SO4 (indicated as x2). The data is shown below. a) Find the fit parameters of the proposed model. b) Establish, b

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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An article in Wood Science and Technology, "Creep in Chipboard, Part 3: Initial Assessment of the lInfluence of Moisture Content and Level of Stressing on Rate of Creep and Time to Failure" (1981, Vol. 15. pp. 125-144) studied the deflection (mm) of particleboard from stress levels of relative humidity. Assume that the two variables are related according to the simple linear regression model. The data are shown below x = Stress level (%) 54 54 61 61 68 68 75 75 75 y = Deflection (mm) 16.473 18.693 14.305 15.121 13.505 11.64 11.168 12.534 11.224 a. Calculate the least square estimates of the intercept (a) and slope (b). What is the estimate of o (c)? b. Find the estimate of the mean deflection if the stress level can be limited to 69% (d). c. Estimate the change in the mean deflection associated with a 8% increment in stress level (e). (a) 1.118 (Round your answer to 2 decimal places.) (b) i 12.936 (Round your answer to 3 decimal places.) (c) -2.216 (Round your answer to 3 decimal…
After ingesting 15 mL of 95% alcohol, the blood alcohol level of a 75 kg adult male rises rapidly to a maximum level then gradually decreases over time. Measurements of the subject's blood alcohol level at time t (in minutes) since the maximum blood alcohol level was observed gave the following results: Time t (in minutes) Blood alcohol level, B (in mg/L) 10 25 60 70 90 150 160 130 70 60 40 20 a) Using least squares regression, determine an equation of the form B= Be-kt that best fits the relationship shown. You do not need to graph the data. (Note any transformations you have applied to your data: x→, y→, round the values that appear in your final equation to three significant figures, and use the correct variable names...not x and y.)| b) Using your equation from part a), estimate the time t at which the subject's blood alcohol level will be 90 mg/L? Round your answer to the nearest minute.
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7B A study was conducted that measured the total brain volume (TBV) (in mm3) of patients that had schizophrenia and patients that are considered normal. Table #1 contains the TBV of the normal patients and Table #2 contains the TBV of schizophrenia patients ("SOCR data Oct2009," 2013). Table #1: Total Brain Volume (in mm3) of Normal Patients 1663407 1583940 1299470 1535137 1431890 1578698 1453510 1650348 1288971 1366346 1326402 1503005 1474790 1317156 1441045 1463498 1650207 1523045 1441636 1432033 1420416 1480171 1360810 1410213 1574808 1502702 1203344 1319737 1688990 1292641 1512571 1635918 Table #2: Total Brain Volume (in mm3) of Schizophrenia Patients 1331777 1487886 1066075 1297327 1499983 1861991 1368378 1476891 1443775 1337827 1658258 1588132 1690182 1569413 1177002 1387893 1483763 1688950 1563593 1317885 1420249 1363859 1238979…
Consider the following simple linear regression model, Y; = Po + B₁X₁ + εi, for i=1,2,...,n, where &'s are all independent and normally distributed with E(₁) = 0, and Var(₁) = 0². i) Check whether a statistic Y = Y + B₁ (X₁-X) is an unbiased estimator of the mean of the response variable E(Y) or not. Justify your conclusion.
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7. a) What are residual plots and box plots? b) Do the stability analysis of the following model which is formulated to study the effect of toxicant on one competing species where the environmental toxicant concentration is being taken to change w.r.t. time. dN = rN, - α,Ν,N, - d,C,N , dt dN2 = rN, - α,N,., dt dCo = k,P - g,C, – m¡C, dt dP Q- hp – kPN, + gC,N . dt along with the initial conditions. N, (0) = N10,N2 (0)= N20,C, (0)= 0, P(0)= P, > 0 %3D Here, N1 (t) = Density of prey population
question 2
MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER An economist is studying the job market in Denver area neighborhoods. Let x represent the total number of jobs in a given neighborhood, and let y represent the number of entry-level jobs in the same neighborhood. A sample of six Denver neighborhoods gave the following information (units in hundreds of jobs). 13 34 52 28 50 25 y 2 9 A USE SALT Complete parts (a) through (e), given Ex = 202, Ey = 27, Ex = 7938, Ey = 159, Exy = 1071, and r 0.7844. %3D %3D %3D (a) Draw a scatter diagram displaying the data. 50 8 3 20 30 40 50 4 7 8. x (total number of jobs (in hundreds)) x (total number of jobs (in hundreds)) 50 8 40 30 2. 40 30 20 y (number of entry-level jobs (in hundreds)) of entry-level jobs (in hundreds)) 3. 4. y (number of entry-level jobs (in hundreds)) entry-level jobs (in hundreds)