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CURVE FITTING

Posted by saleem Monday, September 14, 2009

Features:

The "Curve Fitting" is a polynomial curve fitting software, which facilitates to find and plot polynomial equation, which passes through the user defined points. This software does 2 major roles. i) To find out the polynomial equation which passes through the points specified by the user and to plot that equation as a graph. Features such as zooming in, zooming out, zoom to a selected area and a free movement by mouse click & drag are included in this software, which helps to view the graph for any location at the required view depth. Also this software supports for taking a nice printout of the graph as well as to save the graph as a picture file.

How to start with Curve Fitting software ?

  • Open Genius Maker software and click "Curve Fitting" button. It opens the Curve Fitting software window.
  • Left side is the graph plotting area and the controls are given at the right side.
  • There are 3 frames on the right side.
    1. Add points - To add new points for the polynomial to pass through.
    2. Delete points - To delete a point from consideration.
    3. Viewing controls - To assist you to see various regions of the graph.

EXAMPLE:

  • Now let us take an example. Let us try to find the polynomial which passes through the following 4 points.

    • (2,1)
    • (0,0)
    • (-1,3)
    • (4,-3)
  • Type x = 2 and y = 1.
  • Click "Add Point"
  • You can see a small red circle along with the point serial number in the graph area at the location of (2,1). Also you can see a horizontal straight line passing through that point.
  • Just below the graph area, the equation for the simplest polynomial curve passing through this point is displayed. Now it reads as y = 1.
  • Let us add the second point. Type x = 0 and y = 0.

  • Click "Add Point"
  • You can see a small red circle along with the point serial number in the graph area at the location of (0,0). Also you can see a straight line passing through the above 2 points.
  • Just below the graph area, the equation for the simplest polynomial curve passing through this point is displayed. Now it reads as 2y = 1x.
  • Follow the similar procedure to add the third point (-1,3)

  • Now the graph becomes a parabola of equation 6y = 7x² - 11x.
  • Add the fourth point (4,-3)

  • Now the graph becomes a third order polynomial curve of equation 120y = -43x³ + 183x² - 134x.

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