Difference between revisions of "Find an Exponential Regression Using a Graphing Calculator"

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{{stub|date=2016-05-12}}Sometimes, you will be given a series of points and want to find an exponential equation without having to resort to algebra. Luckily, you can use a graphing calculator to find the regression - it's easier than you'd think!
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Sometimes, you will be given a series of points and want to find an exponential equation without having to resort to algebra. Luckily, you can use a graphing calculator to find the regression - it's easier than you'd think!
 
[[Category:Algebra]]
 
[[Category:Algebra]]
 
== Steps ==
 
== Steps ==
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#  Interpret the regression. At the top, you should see the equation the calculator is using. It will say y=a*b^x. The value of "a" is initial value (the y-intercept) and the value of "b" is 1 plus the rate. You can easily write out the equation and find out the rate and initial value from this data. Also be aware of the "r" value. The closer the value is to 1, the better fit the regression is to the data. If the value is less than or near .5, you may be better off with a different model. For anything significantly higher than .5, but less than .9, you might want to graph it and use your discretion as to whether or not the model fits.
 
#  Interpret the regression. At the top, you should see the equation the calculator is using. It will say y=a*b^x. The value of "a" is initial value (the y-intercept) and the value of "b" is 1 plus the rate. You can easily write out the equation and find out the rate and initial value from this data. Also be aware of the "r" value. The closer the value is to 1, the better fit the regression is to the data. If the value is less than or near .5, you may be better off with a different model. For anything significantly higher than .5, but less than .9, you might want to graph it and use your discretion as to whether or not the model fits.
  
== Video ==
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{{Video:Find an Exponential Regression Using a Graphing Calculator|}}
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== Related Articles ==
 
== Related Articles ==