Graphing Techniques.

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Presentation transcript:

Graphing Techniques

Data Time (s) Trial 1 (m) Trial 2 (m) Trial 3 (m) Trail 4 (m) 1.0 1.9 1.8 2.0 2.1 7.8 7.9 8.2 8.1 3.0 17.5 18.1 18.2 17.7 4.0 31.0 32.5 33.5 30.5

Scatter Plot

Curve Fitting with Error Bars

Is It Really Quadratic?

Or Is It Linear?

Quadratic Transformed to Linear

Most Common Best Fit Linear (Direct or Indirect) Quadratic Inverse Inverse Square All four can be “converted” to linear for comparison using the values indicated.

Direct X Y 1 3 2 5 7 4 9

Indirect X Y 1 9 2 7 3 5 4

Quadratic (Square) X Y 1 10 2 40 3 90 4 160

Inverse X Y 1 100 2 50 3 33.3 4 25

Inverse Square X Y 1 100 2 25 3 11.1 4 6.25

Other Functions Relationship Graph

Multiple Variables Investigate one variable at a time using a power best fit Combine the equations to find the single equation for the situation

Extrapolate vs. Interpolate

Manual Best Fit Line