5.1 Byers and Williams (Viscosities of Binary and Ternary Mixtures of PolyaromaticHydrocarbons," Journal of Chemical and Engineering Data, 32, 349 – 354, 1987)studied the impact of temperature (the regressor) on the viscosity (the response) oftoluene - tetralin blends. The following table gives the data for blends with a 0.4 molarfraction of toluene.+Temperature (°C)Viscosity (mPa·s)1.13324.935.00.977244.90.853255.10.755065.20.672375.20.602185.20.542095.20.5074a. Plot a scatter diagram. Does it seem likely that a straight line model will be adequate?

The given information is- The regressor (X) is temperature (°C) and the response variable (Y) is…

Answered: 1 Byers and Williams (Viscosities of…

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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Q2C. Considering the following MA(3) process: Yt=ut 0.7ut-1 - 0.2ut-2 +0.4ut-3 Where ut is a white noise process with variance equal to 1. What is the value Yk = cov(yt, Yt-k) for k = 0? Provide the correct answer along with the working steps and underlying assumptions used to calculate the value of yk = cov(yt, Yt-k) for k = 0. i. Yo = 1.69 ii. Yo = 0.63 iii. Yo = 1 iv. Yo = 0
3. In an experiment on immunization of cattle from tuberculosis, the following results were obtained : Affected Not affected Inoculated 12 26 Not inoculated 16 6 Calculate x and discuss the effect of vaccine in controlling susceptibility to tuberculosşis (5% value of x for one degree of freedom = 3.84).
12:08 AT&T * 4 all 65% 3. RT = 22 and US = 18 VT = R UV = RS = ST = U II
Find the instantaneous form for each of the following phasors: 20 (a) A, = j10a, +a (b) B, = j4e-*a, + 6e*P*a, (c) C, = j2e=20%e¬J#lda -20z
Bb.29.
1-What these statistics tell you about the kurtosis of the variables:
Skoog.151.7-22. Two different analytical methods were used to determine residual chlorine in sewage effluents. Both methods were used on the same samples, but each sample came from various locations with differing amounts of contact time with the effluent. Two methods were used to determine the concentration of Cl in mg/L, and the results are shown in the following table: Sample Method A Method B 1 0.39 0.36 0.84 1.35 3 1.76 2.56 4 3.35 3.92 4.69 5.35 7.70 8.33 7 10.52 10.70 8. 10.92 10.91 (a) What type of t test should be used to compare the two methods and why? (b) Do the two methods give different results? State and test the appropriate hypotheses. (c) Does the conclusion depend on whether the 90%, 95%, or 99% confidence levels are used?
2.2 (31) Virulence and pathogen transmission The number of new infections produced by an individual infected with a pathogen such as influenza depends on the mortality rate that the pathogen causes. This pathogen-induced mortality rate is referred to as the pathogen's virulence. (The photo shows victims at Camp Funston of the influenza epidemic of 1918.] Extremely high levels of virulence result in very little transmission because the infected individual dies before infecting other individuals. Under certain assumptions, the number of new infections N is related to virulence v by the function
The article "Oxidation State and Activities of Chromium Oxides in Cao-SiO,-CrO, Slag System" (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,5 for several specimens. The data, extracted from a larger table, are presented in the following table. х У 2.6 10.20 5.03 19.9 8.84 0.8 6.62 5.3 2.89 20.3 2.31 39.4 7.13 5.8 3.40 29.4 5.57 2.2 7.23 5.5 2.12 33.1 1.67 44.2 5.33 13.1 16.70 0.6 9.75 2.2 2.74 16.9 2.58 35.5 1.50 48.0 Compute 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 y when x= 5.0.
11.S13 An article in the Journal of Applied Polymer Sci- ence ["Preparation and Characterizations of Thermotropic Copolyesters of p-Hydroxybenzoic Acid, Sebacic Acid, and Hydroquinone" (1995, Vol. 56, pp. 471–476)] reported on a study of the effect of the mole ratio of sebacic acid on the intrinsic vis- cosity of copolyesters. The data follow: Mole ratio x 1.O 0.9 0.8 0.7 0.6 0.5 0.4 0.3 Viscosity y 0.45 0.20 0.34 0.58 0.70 0.57 0.55 0.44 a. Construct a scatter diagram of the data. b. Fit a simple linear repression model. c. Test for significance of regression. Calculate R² for the model. d. Analyze the residuals and comment on model adequacy.

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