Statistics for Engineers and Scientists
4th Edition
ISBN: 9780073401331
Author: William Navidi Prof.
Publisher: McGraw-Hill Education
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Question
Chapter 8, Problem 18SE
a.
To determine
Obtain a linear model
Also obtain a residual plot and comment on the appropriateness of the model.
b.
To determine
Obtain a linear model
Also obtain a residual plot and comment on the appropriateness of the model.
c.
To determine
Find the coefficients and their standard deviations for polynomial of degrees 2, 3, 4 and 5.
Obtain residual plot for each of the polynomials.
d.
To determine
Explain the reason of quartic model
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The poaching model for Species Z is
Z' = a Z (1Z) - b
where the variable Z represents the population of
Species Z and Z = 0.2 when t = 0. If a = 0.4 and
b = 0.14, what can be said about the population
of Species Z in the long run?
a) The population will level off near 85% of its
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c)
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Revert Don.
6. The simulation of parameter-distributed processes is connected with discretization in space and
time. The distribution of changes in the temperature x of a heated at the front massive long metal
piece is described by the following partial differential equation:
a²x(z,t)
Oz²
ax(z,t)
(1)
= -a(x-0₂)+b
at
where 0, is the ambient temperature, a and b are constants.
Derive the discrete model by applying discretization first with respect to z (z;= i.Az) and after that
with respect to t (tk=k.At), using backward finite differences for the corresponding derivatives.
The article "Low-Temperature Heat Capacity and Thermodynamic Properties of 1,1,1-
trifluoro-2,2-dichloroethane" (R. Varushchenko and A. Druzhinina, Fluid Phase Equilibria,
2002-109-119) descrībes an experiment in which samples of Freon R-123 were melted in a
calorimeter. Various quantities of energy were supplied to the calorimeter for melting. The
equilibrium melting temperatures () and fractions melted (f) were measured. The least-
squares line was fit to the model t= R, + B,(1/f) + Ewhere 1/f is the reciprocal fraction. The
results of the fit are as follows.
The regression equation is
Temperature = 145.74 - 0.052 Reciprocal Frac
Predictor
Constant
Recip Frac -0.05180 0.00226-22.906 0.000
S= 0.019516R-Sq = 97.6% R-Sq(adj) = 97.4%
Analysis of Variance
Source DF
Regressiop 1 0.200 0.200524.700.000
Residual
Елог
т Р
145.736 0.00848 17190.10.000
Coef SE Coef
MS
F P
130.004950.000381
Total
14 0.205
a. Estimate the temperature at which half of the sample will melt (i.e., f= 12).
Can you…
Chapter 8 Solutions
Statistics for Engineers and Scientists
Ch. 8.1 - In an experiment to determine the factors...Ch. 8.1 - Prob. 2ECh. 8.1 - Prob. 3ECh. 8.1 - The article Application of Analysis of Variance to...Ch. 8.1 - Prob. 5ECh. 8.1 - Prob. 6ECh. 8.1 - Prob. 7ECh. 8.1 - Refer to Exercise 7. a. Find a 95% confidence...Ch. 8.1 - In a study of the lung function of children, the...Ch. 8.1 - Prob. 10E
Ch. 8.1 - Prob. 11ECh. 8.1 - The following MINITAB output is for a multiple...Ch. 8.1 - Prob. 13ECh. 8.1 - Prob. 14ECh. 8.1 - Prob. 15ECh. 8.1 - The following data were collected in an experiment...Ch. 8.1 - The November 24, 2001, issue of The Economist...Ch. 8.1 - The article Multiple Linear Regression for Lake...Ch. 8.1 - Prob. 19ECh. 8.2 - In an experiment to determine factors related to...Ch. 8.2 - In a laboratory test of a new engine design, the...Ch. 8.2 - In a laboratory test of a new engine design, the...Ch. 8.2 - The article Influence of Freezing Temperature on...Ch. 8.2 - The article Influence of Freezing Temperature on...Ch. 8.2 - The article Influence of Freezing Temperature on...Ch. 8.3 - True or false: a. For any set of data, there is...Ch. 8.3 - The article Experimental Design Approach for the...Ch. 8.3 - Prob. 3ECh. 8.3 - An engineer measures a dependent variable y and...Ch. 8.3 - Prob. 5ECh. 8.3 - The following MINITAB output is for a best subsets...Ch. 8.3 - Prob. 7ECh. 8.3 - Prob. 8ECh. 8.3 - (Continues Exercise 7 in Section 8.1.) To try to...Ch. 8.3 - Prob. 10ECh. 8.3 - Prob. 11ECh. 8.3 - Prob. 12ECh. 8.3 - The article Ultimate Load Analysis of Plate...Ch. 8.3 - Prob. 14ECh. 8.3 - Prob. 15ECh. 8.3 - Prob. 16ECh. 8.3 - The article Modeling Resilient Modulus and...Ch. 8.3 - The article Models for Assessing Hoisting Times of...Ch. 8 - The article Advances in Oxygen Equivalence...Ch. 8 - Prob. 2SECh. 8 - Prob. 3SECh. 8 - Prob. 4SECh. 8 - In a simulation of 30 mobile computer networks,...Ch. 8 - The data in Table SE6 (page 649) consist of yield...Ch. 8 - Prob. 7SECh. 8 - Prob. 8SECh. 8 - Refer to Exercise 2 in Section 8.2. a. Using each...Ch. 8 - Prob. 10SECh. 8 - The data presented in the following table give the...Ch. 8 - The article Enthalpies and Entropies of Transfer...Ch. 8 - Prob. 13SECh. 8 - Prob. 14SECh. 8 - The article Measurements of the Thermal...Ch. 8 - The article Electrical Impedance Variation with...Ch. 8 - The article Groundwater Electromagnetic Imaging in...Ch. 8 - Prob. 18SECh. 8 - Prob. 19SECh. 8 - Prob. 20SECh. 8 - Prob. 21SECh. 8 - Prob. 22SECh. 8 - The article Estimating Resource Requirements at...Ch. 8 - Prob. 24SE
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