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# Solutions for Chapter 11.3: Linearization and Local Stability

## Full solutions for Advanced Engineering Mathematics | 5th Edition

ISBN: 9781449691721

Solutions for Chapter 11.3: Linearization and Local Stability

Solutions for Chapter 11.3
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##### ISBN: 9781449691721

Advanced Engineering Mathematics was written by and is associated to the ISBN: 9781449691721. Since 40 problems in chapter 11.3: Linearization and Local Stability have been answered, more than 33373 students have viewed full step-by-step solutions from this chapter. Chapter 11.3: Linearization and Local Stability includes 40 full step-by-step solutions. This expansive textbook survival guide covers the following chapters and their solutions. This textbook survival guide was created for the textbook: Advanced Engineering Mathematics , edition: 5.

Key Statistics Terms and definitions covered in this textbook
• a-error (or a-risk)

In hypothesis testing, an error incurred by failing to reject a null hypothesis when it is actually false (also called a type II error).

A formula used to determine the probability of the union of two (or more) events from the probabilities of the events and their intersection(s).

• All possible (subsets) regressions

A method of variable selection in regression that examines all possible subsets of the candidate regressor variables. Eficient computer algorithms have been developed for implementing all possible regressions

• Binomial random variable

A discrete random variable that equals the number of successes in a ixed number of Bernoulli trials.

• Bivariate distribution

The joint probability distribution of two random variables.

• C chart

An attribute control chart that plots the total number of defects per unit in a subgroup. Similar to a defects-per-unit or U chart.

• Coeficient of determination

See R 2 .

• Consistent estimator

An estimator that converges in probability to the true value of the estimated parameter as the sample size increases.

• Contour plot

A two-dimensional graphic used for a bivariate probability density function that displays curves for which the probability density function is constant.

• Crossed factors

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

• Curvilinear regression

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

• Density function

Another name for a probability density function

• Empirical model

A model to relate a response to one or more regressors or factors that is developed from data obtained from the system.

• Error variance

The variance of an error term or component in a model.

• Estimate (or point estimate)

The numerical value of a point estimator.

• Experiment

A series of tests in which changes are made to the system under study

• Extra sum of squares method

A method used in regression analysis to conduct a hypothesis test for the additional contribution of one or more variables to a model.

• Forward selection

A method of variable selection in regression, where variables are inserted one at a time into the model until no other variables that contribute signiicantly to the model can be found.

• Fraction defective control chart

See P chart

• Gamma function

A function used in the probability density function of a gamma random variable that can be considered to extend factorials

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