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Graphing and curve fitting

Graphing and curve fitting. Physics 270. Graphing. y ( x ) Data Set #1. Graphing. What about error bars?. Graphing. Data Set #2. Graphing. Linear Regression Analysis AKA Linear Least Squares analysis. Simple linear regression describes the linear relationship between a predictor

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Graphing and curve fitting

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  1. Graphing and curve fitting Physics 270

  2. Graphing • y(x) Data Set #1

  3. Graphing What about error bars?

  4. Graphing • Data Set #2

  5. Graphing

  6. Linear Regression AnalysisAKA Linear Least Squares analysis Simple linear regression describes the linear relationship between a predictor variable, plotted on the x-axis, and a response variable, plotted on the y-axis dependent Variable (Y) Independent Variable (X)

  7. Linear Regression AnalysisAKA Linear Least Squares analysis Y 1.0 X

  8. Linear Least squares Analysis

  9. The best linear approximation involves finding values of a0 and a1 to minimize Absolute Deviation

  10. Linear Least squares Analysis

  11. Linear Least squares Analysis

  12. Linear Least squares Analysis

  13. Linear Curve fitting

  14. Example from Literature Barbara S. Andereck Am. J. Phys. 67, 528 (June 1999).

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