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Exponential Regression

An exponential regression is the process of finding the equation of the exponential function that fits best for a set of data. As a result, we get an equation of the form y = a b x where a ≠ 0 .

The relative predictive power of an exponential model is denoted by R 2 . The value of R 2 varies between 0 and 1 . The more close the value is to 1 , the more accurate the model is.

Example:

Consider the set of data. Determine the exponential regression for the set.

( 0 , 3 ) , ( 1 , 7 ) , ( 2 , 10 ) , ( 3 , 24 ) , ( 4 , 50 ) , ( 5 , 95 )

Enter the x -coordinates and y -coordinates in your calculator and do an exponential regression. The equation of the function that best approximates the points is y = 3.0465 ( 1.988 ) x .

Plot the graph. You should get a graph like this.