The article "Enthalpies and Entropies of Transfer of Electrolytes and Ions from Water toMixed Aqueous Organic Solvents" (G. Hefter, Y. Marcus, and W. Waghorne, ChemicalReviews, 2002:2773–2836) presents measurements of entropy and enthalpy changes formany salts under a variety of conditions. The following table presents the results forentropies of transfer (in J/K · mol) from water to water + methanol of NaCl (table salt) overa range of concentrations of methanol:Concentration (%)Entropy510-120-730-1740-2850-3960-5270-6580-8090-98100-121Fit polynomial models of degrees 1, 2, and 3 to predict the entropy (y) from theconcentration (x).a.b.Which degree polynomial is the most appropriate? Explain.Using the most appropriate model, find 99% confidence intervals for the coefficients.C.

Enter the given data in EXCEL sheet and create the variables x2 and x3 as shown below:

Answered: The article "Enthalpies and Entropies…

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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4. Let X and Y have the joint pmf defined by f(0,0) = f(1,2) = 0.2, f(0,1) = f(1, 1) = 0.3 (and f(x, y) = 0 elsewhere). (a) Represent the joint probability mass function by a table. (b) Give the marginal probability mass functions of X and Y in the “margins" of the table in (a). (c) Compute ux, µY , ox,oỷ, Cov(X,Y), and p. (d) Tabulate the conditional probability mass function of Y given X = 1. (e) Tabulate the conditional probability mass function of X given Y = 0.
Using the chart below, Given 6 degrees of freedom and an ?=0.05, what is the critical value of X2 for 1-(?/2)?
Chemists examined the relationship between the maximum absorption rate y (in nanomoles) and the Hammell subsliuent constant x for metachyoophane compounds. The data are given below. Hammett Maximum Observation Constant Ahsorption 0.01 200 12 0.75 346 13 0.06 303 14 -0.26 314 15 0.17 301 0.42 332 -0.18 303 0.52 343 19 1.02 368 10 0.38 326 0.63 339 Summary quantities are Ey = 3574, E = 1188426, Ex, = 3.52, E x} = 2.7238, and x, V- 1226.27. Assume that the two variables are related according to the simple linear regression model. 1. The least squares estimate of the slope is .Round to 1 decimal place. 2. The least squares estimate of the intercept is . Round to 1 decimal place. 3. If the Hammett constant x is set to 0.17, what is the predicted maximum absorption? Round to 1 decimal place. 4. The observed value of maximum absorption at x = 0.17 is y = 301. What is the value of the coresponding residual? Round to 1 decimal place. 5. The totell sum of squares of y is and the error sum of…
The article "Experimental Design Approach for the Optimization of the Separation of Enantiomers in Preparative Liquid Chromatography" (S. Lai and Z. Lin, Separation Science and Technology, 2002: 847–875) describes an experiment involving a chemical process designed to separate enantiomers. A model was fit to estimate the cycle time (y) in terms of the flow rate (x1), sample concentration (x2), and mobile-phase composition (x3). The results of a least-squares fit are presented in the following table. (The article did not provide the value of the t statistic for the constant term.) Predictor Coefficient т Constant 1.603 X1 -0.619 -22.289 0.000 X2 0.086 3.084 0.018 0.306 11.011 0.000 0.272 8.542 0.000 0.057 1.802 0.115 0.105 3.300 0.013 X1X2 -0.022 -0.630 0.549 XXз -0.036 -1.004 0.349 X>Xз 0.036 1.018 0.343 Of the following, which is the best next step in the analysis? i. Nothing needs to be done. This model is fine. Drop x;, x;, and x from the model, and then perform an F test. iii. Drop…
You are conducting quality control for a company that manufactures LED displays. The factory you are assessing is supposed to have a manufacturing defect rate of 1 in 100 LED displays. As part of your assessment, you want to verify this defect rate by analyzing a random sample of LED displays. You are planning to randomly sample 1500 displays from this factory and observe how many of them contain manufacturing defects. Let Zi be equal to 1 if the i’th display has a defect and 0 otherwise, for i = 1,...,1500. (a) What is the statistic that you will use to estimate the defect rate for this factory? How do you compute it using Z1, Z2, . . . , Z1500? (b) Assuming that the true defect rate for this factory is in fact 1 in 100 displays, can we approximate the sampling distribution of the statistic that you selected in part (a) using a normal distribution? Please state and check the requirements for applying the approximation, and identify the mean and standard deviation of the normal…
Question 6 Consider the random variable X with density function f (x) -x2 for – 1 -1 O y>1 O
QUESTION 3 Suppose that the continuous random variables X and Y have the joint density function 4xy x, y = [0, 1] 0 otherwise f(x, y) = and suppose the expected values of Y is E(Y) Round to 4 decimal places if needed. = 3. Find the variance of Y.
Consider drawing samples of size n = 12 from U(0,12) Consider estimators for the population variance. One such estimator is the familiar s. When you draw such a sample, what is E(s') ? Another is the sample range r, where r= ymax - Ymin %3D When you draw such a sample, what is E(r) ? Hint: E(y max) = 144/13 using Theorem 3.10.1 Isr unbiased? Isr consistent?

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