Lecture_05_Polynomial_Regression-1

Lecture_05_Polynomial_Regression-1 - EGR 102 Introduction...

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EGR 102 Introduction to Engineering Modeling Curve Fitting olynomial Regression Polynomial Regression Chapter 15.1-15.3 EGR 102 Lecture 5 1 Figures from: “Applied Numerical Methods with MATLAB,” Steven Chapra, McGraw Hill
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FewWordsabout 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 evel of tolerance in engineering: ERO ± Level of tolerance in engineering: ZERO ± Must be able to make good decisions under pressure ± Must act with integrity in all cases he health and safety of others depends upon complete honesty EGR 102 Lecture 5 2 ± The health and safety of others depends upon complete honesty
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Homework Assignments ± Should be completed by hand ± Helps in understanding the theory and the procedure olutions should be validated, if at all possible ± Solutions should be validated, if at all possible ± Numerical solutions (e.g., Excel or MATLAB) can be used for validation eading the textbook sections is very important ± 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 EGR 102 Lecture 5 3 always perform and turn in your own work
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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 ass a single curve through the oints (interpolation) ± Pass a single curve through the points (interpolation) ± Three general applications in engineering: ± Trend analysis redicting values between data points or beyond data range ± Predicting values between data points or beyond data range ± Hypothesis testing ± Comparing existing mathematical model with measured data ± implified modeling EGR 102 Lecture 5 4 Spe do d eg ± Developing simple math models to represent complex phenomenon
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tatistics Review Statistics Review Measures of Central Tendency ± Arithmetic mean: the sum of the individual data points (x i ) divided by the number of points n: x i = ±
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Lecture_05_Polynomial_Regression-1 - EGR 102 Introduction...

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