Graphing and curve fitting

Graphing and curve fittingPhysics 270Graphingy(x)Data Set #1

t (s)y (cm)11.323.534.245.057.068.8710.1812.5913.01015.6

Graphing

What about error bars?GraphingData Set #2

t (s)y (cm)10.823.033.544.255.165.976.887.598.1109.0Graphing

Linear Regression AnalysisAKA Linear Least Squares analysisSimple linear regression describes the linear relationship between a predictor variable, plotted on the x-axis, and a response variable, plotted on the y-axis

Independent Variable (X)dependent Variable (Y)Linear Regression AnalysisAKA Linear Least Squares analysis

XY

1.0

Linear Least squares Analysis

The best linear approximation involves finding values of a0 and a1 to minimizeAbsolute Deviation

Linear Least squares Analysis

Linear Least squares AnalysisLinear Least squares Analysis

Linear Curve fitting

Example from Literature

Am. J. Phys. 67, 528 (June 1999).Barbara S. Andereck