Holistic Numerical Methods

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Maple

REGRESSION

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Major

General


BACKGROUND

 

Pre-Requisites for Regression [PDF] [DOC]

Objectives of Regression [PDF] [DOC]

A Primer on Statistical Terminology for Regression Analysis [PDF] [DOC]

Introduction to Regression [PDF] [DOC]

Test Your Knowledge on Background of Regression  [HTML] [FLASH] [PDF] [DOC]

 

PHYSICAL PROBLEM

 

Finding the best Finding the best mousetrap for a mousetrap car for a Finding the best mousetrap for a mousetrap car car [PDF] [DOC]

 

NUMERICAL METHOD

 

LINEAR REGRESSION MODEL

 

 

Pre-Requisites for Linear Regression [PDF] [DOC]

Objectives of Linear Regression [PDF] [DOC]

How Does Linear Regression Work? [PDF] [DOC]

Linear Regression Background: Part 1 of 2 [YOUTUBE 8:10]

Linear Regression Background: Part 2 of 2 [YOUTUBE 3:55]

Linear Regression Derivation: Part 1 of 2 [YOUTUBE 6:22]

Linear Regression Derivation: Part 2 of 2 [YOUTUBE 8:44]

Linear Regression: Example [YOUTUBE 10:24]

Linear Regression With Zero Intercept: Derivation [YOUTUBE 9:32]

Linear Regression With Zero Intercept: Example [YOUTUBE 8:48]

A Power Point Presentation on Linear Regression [PDF] [PPT]

Worksheet of Linear Regression [PDF] [MWS]

Test Your Knowledge of Linear Regression [HTML] [FLASH] [PDF] [DOC]

 

NONLINEAR REGRESSION MODELS

 

 

Pre-Requisites for Nonlinear Regression [PDF] [DOC]

Objectives of Nonlinear Regression [PDF] [DOC]

How does Nonlinear Regression Work? [PDF] [DOC]

Power Model: Derivation: Part 1 of 2 [YOUTUBE 4:07]

Power Model: Derivation: Part 2 of 2 [YOUTUBE 8:11]

Power Model : Transformed Data: Derivation [YOUTUBE 8:52]

Power Model : Transformed Data: Example Part 1 of 2  [YOUTUBE 5:49]

Power Model : Transformed Data: Example Part 2 of 2  [YOUTUBE 9:12]

Exponential Model Regression: Derivation: Part 1 of 2 [YOUTUBE 5:50]

Exponential Model Regression: Derivation: Part 2 of 2 [YOUTUBE 9:50]

Exponential Model :  Example Part 1 of 2  [YOUTUBE 10:07]

Exponential Model :  Example Part 2 of 2  [YOUTUBE 1:44]

Exponential Model : Transformed Data: Derivation [YOUTUBE 9:37]

Exponential Model : Transformed Data: Example Part 1 of 2  [YOUTUBE 7:11]

Exponential Model : Transformed Data: Example Part 2 of 2  [YOUTUBE 9:14]

Saturation Growth Model: Transformed Data: Derivation [YOUTUBE 8:27]

Harmonic Decline Curve: Transformed Data: Derivation [YOUTUBE 9:16]

Harmonic Decline Curve : Transformed Data: Example Part 1 of 2  [YOUTUBE 6:18]

Harmonic Decline Curve : Transformed Data: Example Part 2 of 2  [YOUTUBE 8:47]

Polynomial Model :  Derivation: Part 1 of 2  [YOUTUBE 7:47]

Polynomial Model :  Derivation: Part 2 of 2   [YOUTUBE 9:40]

Polynomial Model :  Example Part 1 of 2  [YOUTUBE 6:42]

Polynomial Model :  Example Part 2 of 2  [YOUTUBE 6:16]

A Power Point Presentation on Nonlinear Regression [PDF] [PPT]

Worksheet of Nonlinear Regression without Data Linearization [PDF] [MWS]

Worksheet of Nonlinear Regression with Data Linearization [PDF] [MWS]

Worksheet of Polynomial Regression [PDF] [MWS]

Test Your Knowledge of Nonlinear Regression [HTML] [FLASH] [PDF] [DOC]

ANECDOTES

 

Comparing Nonlinear Regression Models - With and Without Data Linearization [PDF] [MWS]

On Adequacy of Regression Models [PDF] [DOC] [PDF] [MWS]
Multivariate Least Squares Fitting
[PDF] [DOC]

 

 

 

 

 
 

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Copyrights: University of South Florida, 4202 E Fowler Ave, Tampa, FL 33620-5350. All Rights Reserved. Questions, suggestions or comments, contact mathforcollege@yahoo.com.   This material is based upon work supported by the National Science Foundation under Grant# Creative Commons License0126793, 0341468, 0717624,  0836981, 0836916, 0836805.  Any opinions, findings, and conclusions or recommendations expressed in this material are those of the author(s) and do not necessarily reflect the views of the National Science Foundation.  Other sponsors include Maple, MathCAD, USF, FAMU and MSOE.  Based on a work at http://nm.mathforcollege.com.  Holistic Numerical Methods licensed under a Creative Commons Attribution-NonCommercial-NoDerivs 3.0 Unported License.

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