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xiii Note to the reader: This is a customized book for Old Dominion ...

xiii Note to the reader: This is a customized book for Old Dominion ...

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REGRESSION 339Physical problemsChapter 06.00A Physical problem - general engineering 339Chapter 06.00B Physical problem - chemical engineeringChapter 06.00C Physical problem - civil engineering 343Chapter 06.00D Physical problem - computer engineeringChapter 06.00E Physical problem - electrical engineeringChapter 06.00F Physical problem - industrial engineeringChapter 06.00G Physical problem - mechanical engineering 346Chapter 06.01 Stat<strong>is</strong>tics background of regression analys<strong>is</strong> 351Review of stat<strong>is</strong>tical terminologies 351Elementary stat<strong>is</strong>tics 351A brief h<strong>is</strong><strong>to</strong>ry of regression 355Multiple-choice test 359Chapter 06.02 Introduction of regression analys<strong>is</strong> 359What <strong>is</strong> regression analys<strong>is</strong>? 359Compar<strong>is</strong>on of regression and correlation 360Uses of regression analys<strong>is</strong> 360Abuses of regression analys<strong>is</strong> 360Extrapolation 361Least squares methods 363Why minimize <strong>the</strong> sum of <strong>the</strong> square of <strong>the</strong> residuals? 363Multiple-choice testProblem set 365Chapter 06.03 Linear regression 366Why minimize <strong>the</strong> sum of <strong>the</strong> square of <strong>the</strong> residuals? 366Multiple-choice test 379Problem set 381Chapter 06.04 Nonlinear models <strong>for</strong> regression 383Nonlinear models using least squares 383Exponential model 383Growth model 387Polynomial models 389Linearization of data 393Exponential model 393Logarithmic functions 396Power functions 399Multiple-choice test 405Problem set 408Chapter 06.05 Adequacy of models <strong>for</strong> regression 411Quality of fitted model 411Plot <strong>the</strong> data and <strong>the</strong> regression model. 411Calculate <strong>the</strong> standard error of estimate. 412Calculate <strong>the</strong> coefficient of determination. 414xxi

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