Power Regression
The power regression option finds the equation of
the form y = axb that best fits a set of data.
First, enter the data.
The values of x and 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 ln 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 view the statistics calculation options.
Press 
for regressions, then
to select power.
Therefore, the best-fit power equation for this data is approximately y = 7.01x0.8.
The correlation coefficient, r, is about 0.992 and the coefficient of determination, r2, is about 0.986.
Note: If an error message occurs, make
sure the data was entered correctly or press
to view the setup.
Use 
, 
,
and the menu keys to select List1 for 2Var XList,
List2 for 2Var YList,
and 1 for 2Var Freq.