 13.13.1: Suppose the variables x commuting distance and y commuting time are...
 13.13.2: The x values and standardized residuals for the chlorine flow/etch ...
 13.13.3: Example 12.6 presented the residuals from a simple linear regressio...
 13.13.4: Wear resistance of certain nuclear reactor components made of Zirca...
 13.13.5: As the air temperature drops, river water becomes supercooled and i...
 13.13.6: The accompanying data on x true density (kg/mm3 ) and y moisture co...
 13.13.7: The article Effects of Gamma Radiation on Juvenile and Mature Cutti...
 13.13.8: Continuous recording of heart rate can be used to obtain informatio...
 13.13.9: Consider the following four (x, y) data sets; the first three have ...
 13.13.10: a. Show that n i1 ei 0 when the ei s are the residuals from a simpl...
 13.13.11: a. Express the ith residual Yi Y i (where Y i 0 1xi ) in the form c...
 13.13.12: a. Could a linear regression result in residuals 23, 27, 5, 17, 8, ...
 13.13.13: Recall that 0 1x has a normal distribution with expected value 0 1x...
 13.13.14: If there is at least one x value at which more than one observation...
 13.13.15: No tortilla chip aficionado likes soggy chips, so it is important t...
 13.13.16: Polyester fiber ropes are increasingly being used as components of ...
 13.13.17: The following data on mass rate of burning x and flame length y is ...
 13.13.18: Failures in aircraft gas turbine engines due to high cycle fatigue ...
 13.13.19: Thermal endurance tests were performed to study the relationship be...
 13.13.20: Exercise 14 presented data on body weight x and metabolic clearance...
 13.13.21: A plot in the article Thermal Conductivity of Polyethylene: The Eff...
 13.13.22: In each of the following cases, decide whether the given function i...
 13.13.23: Suppose x and y are related according to a probabilistic exponentia...
 13.13.24: Kyphosis refers to severe forward flexion of the spine following co...
 13.13.25: The following data resulted from a study commissioned by a large ma...
 13.13.26: d. The last line of output is from a request for estimation and pre...
 13.13.27: The following data on y glucose concentration (g/L) and x fermentat...
 13.13.28: The viscosity (y) of an oil was measured by a cone and plate viscom...
 13.13.29: Highalumina refractory castables have been extensively investigate...
 13.13.30: c. The estimated standard deviation of 0 1x 2x2 when x 2.5 is 53.5....
 13.13.31: The accompanying data was obtained from a study of a certain method...
 13.13.32: The following data is a subset of data obtained in an experiment to...
 13.13.33: In many polynomial regression problems, rather than fitting a cente...
 13.13.34: The following data resulted from an experiment to assess the potent...
 13.13.35: The article The Respiration in Air and in Water of the Limpets Pate...
 13.13.36: Cardiorespiratory fitness is widely recognized as a major component...
 13.13.37: Cardiorespiratory fitness is widely recognized as a major component...
 13.13.38: Let y wear life of a bearing, x1 oil viscosity, and x2 load. Suppos...
 13.13.39: Let y sales at a fastfood outlet (1000s of $), x1 number of compet...
 13.13.40: The article Readability of Liquid Crystal Displays: A Response Surf...
 13.13.41: The ability of ecologists to identify regions of greatest species r...
 13.13.42: c. When x1 1300 and x2 7, the estimated standard deviation of y is ...
 13.13.43: An experiment carried out to study the effect of the molecontents o...
 13.13.44: The authors of the article An Ultracentrifuge Flour Absorption Meth...
 13.13.45: The article Analysis of the Modeling Methodologies for Predicting t...
 13.13.46: A regression analysis carried out to relate y repair time for a wat...
 13.13.47: Efficient design of certain types of municipal waste incinerators r...
 13.13.48: 5 1.867, 6 4.208, 7 .975, 8 3.750, 9 2.325, SSE 23.379, and R2 .938...
 13.13.49: The article The Influence of Temperature and Sunshine on the Alpha...
 13.13.50: a. When the model Y 0 1x1 2x2 3 x2 1 4 x2 2 5 x1x2 !is fit to the h...
 13.13.51: d. Fitting the firstorder model with regression function Yx1x2 0 1...
 13.13.52: Utilization of sucrose as a carbon source for the production of che...
 13.13.53: Snowpacks contain a wide spectrum of pollutants that may represent ...
 13.13.54: NaOH Silicate Test H2O2 Conc. Conc. Temp. Bright. No. (x1) (x2) (x3...
 13.13.55: The article Bank Full Discharge of Rivers (Water Resources J., 1978...
 13.13.56: In an experiment to study factors influencing wood specific gravity...
 13.13.57: In the accompanying table, we give the smallest SSE for each number...
 13.13.58: The article Creep and Fatigue Characteristics of Ferrocement Slabs ...
 13.13.59: MINITABs Best Regression option was used on the wood specific gravi...
 13.13.60: The accompanying MINITAB output resulted from applying both the bac...
 13.13.61: Reconsider the wood specific gravity data referred to in Exercise 5...
 13.13.62: Reconsider the wood specific gravity data referred to in Exercise 5...
 13.13.63: Multiple regression output from MINITAB for the PAH data of Exercis...
 13.13.64: Refer to the waterdischarge data given in Exercise 55 and let y ln...
 13.13.65: Obs ppv Ratio Obs ppv Ratio 1 160 .996 16 708 .990 2 164 .996 17 80...
 13.13.66: The authors of the article LongTerm Effects of Cathodic Protection...
 13.13.67: The article Validation of the Rockport Fitness Walking Test in Coll...
 13.13.68: a. Does a scatter plot of log(time) versus log(edges) suggest an ap...
 13.13.69: Air pressure (psi) and temperature (F) were measured for a compress...
 13.13.70: An aeronautical engineering student carried out an experiment to st...
 13.13.71: An ammonia bath is the one most widely used for depositing PdNi al...
 13.13.72: The article An Experimental Study of Resistance Spot Welding in 1 m...
 13.13.73: The accompanying data on x frequency (MHz) and y output power (W) f...
 13.13.74: Conductivity is one important characteristic of glass. The article ...
 13.13.75: The effect of manganese (Mn) on wheat growth is examined in the art...
 13.13.76: The accompanying MINITAB output resulted from a request to fit the ...
 13.13.77: A multiple regression analysis was carried out to relate y tensile ...
 13.13.78: A study was carried out to relate time to failure (y) of a certain ...
 13.13.79: The article A Statistical Analysis of the Notch Toughness of 9% Nic...
 13.13.80: a. Does the model appear to specify a useful relationship between y...
 13.13.81: Does exposure to air pollution result in decreased life expectancy?...
 13.13.82: Given that R2 .723 for the model containing predictors x1, x4, x5, ...
Solutions for Chapter 13: Nonlinear and Mutiple Regression
Full solutions for Probability and Statistics for Engineering and the Sciences (with Student Suite Online)  7th Edition
ISBN: 9780495382171
Solutions for Chapter 13: Nonlinear and Mutiple Regression
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Analytic study
A study in which a sample from a population is used to make inference to a future population. Stability needs to be assumed. See Enumerative study

Backward elimination
A method of variable selection in regression that begins with all of the candidate regressor variables in the model and eliminates the insigniicant regressors one at a time until only signiicant regressors remain

Box plot (or box and whisker plot)
A graphical display of data in which the box contains the middle 50% of the data (the interquartile range) with the median dividing it, and the whiskers extend to the smallest and largest values (or some deined lower and upper limits).

Categorical data
Data consisting of counts or observations that can be classiied into categories. The categories may be descriptive.

Comparative experiment
An experiment in which the treatments (experimental conditions) that are to be studied are included in the experiment. The data from the experiment are used to evaluate the treatments.

Contingency table.
A tabular arrangement expressing the assignment of members of a data set according to two or more categories or classiication criteria

Continuous distribution
A probability distribution for a continuous random variable.

Control limits
See Control chart.

Convolution
A method to derive the probability density function of the sum of two independent random variables from an integral (or sum) of probability density (or mass) functions.

Correlation matrix
A square matrix that contains the correlations among a set of random variables, say, XX X 1 2 k , ,…, . The main diagonal elements of the matrix are unity and the offdiagonal elements rij are the correlations between Xi and Xj .

Crossed factors
Another name for factors that are arranged in a factorial experiment.

Cumulative distribution function
For a random variable X, the function of X deined as PX x ( ) ? that is used to specify the probability distribution.

Curvilinear regression
An expression sometimes used for nonlinear regression models or polynomial regression models.

Deining relation
A subset of effects in a fractional factorial design that deine the aliases in the design.

Dispersion
The amount of variability exhibited by data

Eficiency
A concept in parameter estimation that uses the variances of different estimators; essentially, an estimator is more eficient than another estimator if it has smaller variance. When estimators are biased, the concept requires modiication.

Error propagation
An analysis of how the variance of the random variable that represents that output of a system depends on the variances of the inputs. A formula exists when the output is a linear function of the inputs and the formula is simpliied if the inputs are assumed to be independent.

Ftest
Any test of signiicance involving the F distribution. The most common Ftests are (1) testing hypotheses about the variances or standard deviations of two independent normal distributions, (2) testing hypotheses about treatment means or variance components in the analysis of variance, and (3) testing signiicance of regression or tests on subsets of parameters in a regression model.

Gamma random variable
A random variable that generalizes an Erlang random variable to noninteger values of the parameter r

Harmonic mean
The harmonic mean of a set of data values is the reciprocal of the arithmetic mean of the reciprocals of the data values; that is, h n x i n i = ? ? ? ? ? = ? ? 1 1 1 1 g .