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L04_Plotting_Regression

# L04_Plotting_Regression - Announcements Fill out course...

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Announcements Fill out course survey Available on course website: http://www.vuse.vanderbilt.edu/es140/ Install MATLAB Must be in an ENG building Be wired! Follow instructions sent previously Introduce Challenge 1

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Click to edit Master subtitle style Challenge 1 Open up the Assignment/Word file “Challenge 1” on Bb and read the challenge statement. Generate Ideas: 1) What are your initial ideas about how this challenge can be accomplished? 2) What background knowledge is needed? 3) What do you know about graphical analysis already? 4) What insights into curve-fitting do you need to learn in order to solve this problem?
CURVE FITTING AND LINEAR REGRESSION

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Click to edit Master subtitle style Variable Relationships Data obtained through experimentation are called “empirical.” Relationships among data points may be complicated. We can try to fit them into a “closed form” equation—there are many ways that this can be done. Generally, we use one of the following four categories of equation: Linear Exponential Power Periodic
Click to edit Master subtitle style Quick Reference Chart for Variable Relationships Relationship Type Standard Form Logarithmic Form Graphs a straight line on… Linear y = mx + b Rectilinear paper Power y = bxm log y = m log x + log b or ln y = m ln x + ln b Log-log paper Exponential y = bemx ln y = mx + ln b Semi-log paper

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Polymer films that are only a few nanometers (nm) thick can be grown from surfaces to construct barrier coatings, biocompatible surfaces, and smart films. Open up the Excel file “Polymer Thickness Data” to find data on polymer thickness as a function of time. Make a plot of these data. Determine the correlation coefficient. If the thickness increases sufficiently linearly with time (R2 > 0.99), then the polymerization is said to be “Controlled.” a) Is this a controlled polymerization? b)
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L04_Plotting_Regression - Announcements Fill out course...

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