Lecture_05_Polynomial_Regression

# Lecture_05_Polynomial_Regression - EGR 102 Introduction to...

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1 EGR 102 Lecture 5 1 EGR 102 Introduction to Engineering Modeling Curve Fitting Polynomial Regression Chapter 14.1 Figures from: “Applied Numerical Methods with MATLAB,” Steven Chapra, McGraw Hill EGR 102 Lecture 5 2 A Few Words about Academic Dishonesty What it is: Submitting work as your own that you did not do, or aiding someone else to do so Receiving or providing unauthorized assistance on any assignment or exam What it is not: Helping someone else to understand a concept or how to work a problem, when such help is authorized Working together on assignments, when allowed to do so Level of tolerance in engineering: ZERO Must be able to make good decisions under pressure Must act with integrity in all cases The health and safety of others depends upon complete honesty

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2 EGR 102 Lecture 5 3 Homework Assignments Should be completed by hand Helps in understanding the theory and the procedure Solutions should be validated, if at all possible Numerical solutions (e.g., Excel or MATLAB) can be used for validation Reading the textbook sections is very important Understanding the background, term definitions, assumptions, formulations and theory is necessary for proper application of methods Getting multiple points of view (e.g., lecture versus text) promotes a deeper understanding Working together is encouraged to aid in understanding, but always perform and turn in your own work EGR 102 Lecture 5 4 Curve Fitting Method(s) to fit an equation to discrete data points Two general approaches: Data exhibit a significant degree of scatter Derive a single line (curve) that represents the general trend of the data Data is very precise Pass a single curve through the points Three general applications in engineering: Trend analysis Predicting values between data points or beyond data range Hypothesis testing Comparing existing mathematical model with measured data Simplified modeling Developing simple math models to represent complex phenomenon
3 EGR 102 Lecture 5 5 Statistics Review Measures of Central Tendency Arithmetic mean : the sum of the individual data points ( x i ) divided by the number of points n : Median : the midpoint of a group of data.

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