## Logarithmic Regression

The logarithmic regression option finds the equation of
the form y = a + b ln x that best fits a set of data.
First, enter the data.

The values of x must, of course, be greater than zero.

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 logarithmic.

Therefore, the best-fit logarithmic equation for this data is approximately y = - 5.45 + 21.5 ln x.

The correlation coefficient, r, is about 0.995 and the coefficient of determination, r^{2}, is about 0.991.
which indicates a very good fit.

**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`

.