|January 6th, 2017, 08:31 AM||#1|
Joined: Jan 2017
Finding an Accurate Exponential Function Equation Given 4 Points
I know I can employ the Generic Exponential Function Formula:
y = a*bt
given two points (t,y) of an Exponential Graph to find an Equation for said Function...
However, when I use the resulting Function Equation for further calculations, the Margin of Error of my results is too large to be acceptable.
In addition to the two (t,y) points used above, I also know two other (t,y) points of the graph; meaning I have a total of 4 known points for the Exponential Graph.
My Question is:
How can I employ All 4 Points in order to obtain a more Accurate Equation for the Exponential Graph?
|January 6th, 2017, 08:36 AM||#2|
Joined: Jul 2011
conduct an exponential regression using technology ...
ab-Exponential regression Calculator - High accuracy calculation
|January 6th, 2017, 09:20 AM||#3|
Joined: Jan 2015
But if you are asking for a curve, of the form that goes close to four given points, then you want to minimize the "mean square error": where the "" are the four points and you want to find a and b to minimize that.
|January 6th, 2017, 09:46 AM||#4|
Joined: Dec 2006
|accurate, equation, exponential, finding, function, points|
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