Question 64047
One way to get the exponential regression equation is to 
use a calculator with that function programmed into it.
The TI-83 is such a calculator.
Using it I get this exponential equation:
y=(65.59)*(9.984)^x
-------------
Another way to proceed:
Pick two points from your data set:
(100,14.1) and (35,37)
The form is y=ab^x
Each point gives a form:
14.1=ab^100
37=ab^35
------------
You need to solve for a and for b.
Divide the 1st by the 2nd to get:
(14.1/37)=b^65
Take the 65th root of both sides to get:
b=0.986....
Substitute that value into one of the equations to solve for "a", as follows:
37=a(0.986...)^35
37=a(0.608...)
EQUATION:
y=(0.608..)(0.986...)^x
---------------------------
You will get a little different equation if you pick 
different points, but you will get an exponential equation.
--------
Hope this helps.
Cheers,
Stan H.