The article "Oxidation State and Activities of Chromium Oxides in Cao-SiO,-CrO, SlagSystem" (Y. Xiao, L. Holappa, and M. Reuter, Metallurgical and Materials Transactions B,2002:595-603) presents the amount x (in mole percent) and activity coefficient y of CrO,5for several specimens. The data, extracted from a larger table, are presented in the followingtable.хУ2.610.205.0319.98.840.86.625.32.8920.32.3139.47.135.83.4029.45.572.27.235.52.1233.11.6744.25.3313.116.700.69.752.22.7416.92.5835.51.5048.0Compute the least-squares line for predicting y from x.b. Plot the residuals versus the fitted values.Compute the least-squares line for predicting y from 1/x.d. Plot the residuals versus the fitted values.C.Using the better fitting line, find a 95% confidence interval for the mean value of ywhen x= 5.0.

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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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4. Captopril is a drug designed to lower systolic blood pressure. When subjects were treated with this drug, their systolic blood pressure readings (in mm Hg) were measured before and after the drug was taken. Results are given in the accompanying table (based on data from “Essential Hypertension: Effect of an Oral Inhibitor of Angiotensin-Converting Enzyme”, by MacGregor et al., BMJ, Vol. 2). Using a 0.01 significance level, is there sufficient evidence to support the claim that captopril has an effect on systolic blood pressure? Explain why statistical methods from Z-interval, Z-test, T-interval or T-test –cannot be used for this problem. Then, use the sign test to conduct the required test in R studio. Please show your work.
A method of estimating earth temperature based on local precipitation is to build models based on 100s of years of earth at several different constant green house gas level (So constant global temperature for 100s of years) , and compare the correlation of statistical relationships between predicted precipitation patterns in a region, and observed precipitation patterns for a region in a few year time period.
9) Find L3.2 (5) using the nodes xo = 3,x1 = 4, x2 = 6 ,x3 = 8 %3D
Ims.tu.edu.sa قائمة القراءة. Remaining Time: 34 minutes, 24 seconds. v Question Completion Status: QUESTION 1 "Suppose X has an exponential distribution with ß=1/2 , then P (X2 2) is " 0.3988 O 0.0183 0.4786 O 0.2916 QUESTION 2 "Suppose X has an exponential distribution with ß=1/4 , then P (Xs1.) is " O 0.9817 O 0.3246 O 0.4105 O 0.5116 QUESTION 3
4. We wish to learn the relationship between ranks and variate values via an empirical study. Let X1,..., Xn R1,..., R, be the ranks of X1,..., Xn, i.e., R; = rank(X;), i = 1,..., n. Please simulate data X1,..., X,n, with n = 100, and four types of distributions of X, X ~ X ~xỉ, X - N (0, 1), X ~ Bin(5,0.9), respectively; for each distribution of X, compute the Pearson "product-moment" sample correlation coefficients Pi, p2 and ps as follows: i.i.d. X, where X has a continuous C.D.F. and E(X?) < oo. Let Unif (0, 1), 1 (a) pi using {(X;, R;) : i = 1,..., n}; (b) p2 using {(Xi, Ri+1) : i = 1,..., n – 1}; (c) Pz using {(X;, R;-1) : i = 2,..., n}. Please summarize your results and conclusion.
The article "The Selection of Yeast Strains for the Production of Premium Quality South African Brandy Base Products" (C. Steger and M. Lambrechts, Journal of Industrial Microbiology and Biotechnology, 2000:431-440) presents detailed information on the volatile compound composition of base wines made from each of 16 selected yeast strains. Following are the concentrations of total esters (in mg/L) in each of the wines. 284.34 173.01 229.55 312.95 215.34 188.72 144.39 172.79 139.38 197.81 303.28 256.02 658.38 105.14 295.24 170.41 Compute the mean concentration. a. b. Compute the median concentration. Compute the first quartile of the concentrations. C. d. Compute the third quartile of the concentrations. Construct a boxplot for the concentrations. What features does it reveal? e.
9.12 For the chemical reaction data of Table 7.4 with dependent variable y2, compute the diagnostic measures ŷi, &i, hii, ri, ti, and Di. Display these in a table similar to Table 9.1. Are there outliers or potentially influential obser- vations? Calculate PRESS and compare to SSE.
Poly(3-hydroxybutyrate) (PHB), a semicrystalline polymer that is fully biodegradable and biocompatible, is obtained from renewable resources. From a sustainability perspective, PHB offers many attractive properties though it is more expensive to produce than standard plastics. The accompanying data on melting point (°C) for each of 12 specimensof the polymer using a differential scanning calorimeter appeared in the article “The Melting Behaviour of Poly (3-Hydroxybutyrate) by DSC. Reproducibility Study” (Polymer Testing, 2013: 215-220). Compute the following:a. The sample rangeb. The sample variance s2 from the definition [Hint: First subtract 180 from each observation.]c. The sample standard deviationd. s2 using the shortcut method
The authors of a paper compared two different methods for measuring body fat percentage. One method uses ultrasound, and the other method uses X-ray technology. The table gives body fat percentages for 16 athletes using each of these methods (a subset of the data given in a graph that appeared in the paper). For purposes of this exercise, you can assume that the 16 athletes who participated in this study are representative of the population of athletes. Athlete 0 Ho: Md = Ha: Md 0 < 0 5 6 7 8 9 10 11 12 13 14 15 16 X-ray 4.75 7.00 9.25 12.00 17.25 29.50 5.50 6.00 8.00 8.50 9.25 11.00 12.00 14.00 17.00 18.00 USE SALT Ultrasound 4.75 4.00 9.00 11.75 17.00 27.75 6.50 6.75 8.75 9.75 9.50 12.00 12.25 15.75 18.00 18.50 X Find the test statistic and P-value. (Use a table or SALT. Round your test statistic to one decimal place and your P-value to three decimal places.) t = P-value = 0.000 Mx-ray ultrasound.)
2. The following passage is from a paper. Also significant was the proportion of males and their water consumption (8 oz. servings) compared to females (X2 = 8.136, P-value = 0.087). Males came closer to meeting recommended daily water intake (64 oz. or more) than females (29.8% vs. 20.9%). This statement was based on carrying out a chi-square test of homogeneity using data in a two-way table where rows corresponded to sex (male, female) and columns corresponded to number of servings of water consumed per day, with categories none, one, two to three, four to five, and six or more. A) What hypotheses did the researchers test? H0: Sex and number of servings of water consumed per day are not independent. Ha: Sex and number of servings of water consumed per day are independent. H0: The proportions falling into each of the water categories are the same for both sexes.Ha: The proportions falling into each of the water categories are not the same for both sexes. H0: The…
5. (a) Establish the formula: nroxdy = n,r,0x, Oy, + n2r20x,Oy, + n,dx,dy, + nzdx,dy2 Where dx, = x - i, dy, = 91 - y, dx, = X2 - X, dy, = y2 - y 5. (b) Find the correlation coefficient of combined sample given that %3D %3! Sample Size Mean of X Var(X) Mean of Y Correlation between X and Y Var(Y) Group 1 n = 100 i, = 80 ox? = 10 y, = 100 o = 15 %3! = 0.6 Group 2 n2 = 150 = 72 Ox = 12 y, = 118 o = 18 2 = 0.4

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