Exponential Regression


The exponential regression option finds the equation of the form y = aebx that best fits a set of data. Press to choose the statistics application. Choose fit data... and press . Enter the data.

The values of y must be greater than zero. (This is because the method for determining the values of a and b in the regression equation is a least-squares fit on the values for x and ln y.)



The data shown here are the points {(2,11.4), (3,17), (5,27.3), (7,36.1), (11,47.7), (13,49.9)}.

Press to choose a statistics calculation option.



Select Exponential Fit and press .



Press to calculate the regression.



The regression equation is in level 3 of the stack, the correlation in level 2, and covariance in level 1. To view the entire correlation press . Press again to see the regression equation itself.



Therefore, the best-fit exponential equation for this data is approximately y = 11.78e0.125x.