Finding an Accurate Function Equation Given 4 Points

[Sam202]

Finding an Accurate Exponential Function Equation Given 4 Points

I know I can employ the Generic Exponential Function Formula:

y = a*b^t


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?

 

[stapel]

I know I can employ the Generic Exponential Function Formula:

y = a*b^t

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?

Maybe do an exponential regression...?