
Calculus Calculus Math Forum 
 LinkBack  Thread Tools  Display Modes 
January 6th, 2017, 07:31 AM  #1 
Newbie Joined: Jan 2017 From: California Posts: 1 Thanks: 0  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, 07:36 AM  #2 
Math Team Joined: Jul 2011 From: Texas Posts: 2,755 Thanks: 1405 
conduct an exponential regression using technology ... abExponential regression Calculator  High accuracy calculation 
January 6th, 2017, 08:20 AM  #3  
Math Team Joined: Jan 2015 From: Alabama Posts: 3,185 Thanks: 871  Quote:
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, 08:46 AM  #4 
Global Moderator Joined: Dec 2006 Posts: 19,045 Thanks: 1618  

Tags 
accurate, equation, exponential, finding, function, points 
Search tags for this page 
Click on a term to search for related topics.

Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
Finding the Derivative of an Exponential Function  suhdude  Calculus  1  March 10th, 2016 03:34 PM 
Finding power function equation from two points?  wh1t3crayon  Algebra  2  October 13th, 2014 10:22 PM 
Finding the equation given 3 points  pikachu26134  Algebra  1  November 11th, 2011 09:01 PM 
Deriving Exponential function with 2 points  robertw711  Calculus  1  September 8th, 2009 08:10 PM 
Finding the equation given 3 points  pikachu26134  Abstract Algebra  0  December 31st, 1969 04:00 PM 