## Quadratic Regression

The quadratic regression option finds the equation of
the form y = ax^{2} + bx + c that best fits a set of data.
First, enter the data.

The data shown here is 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 quadratic.

Therefore, the best-fit quadratic equation for this data is approximately
y = -0.23x^{2} + 7.13x - 2.11.

**Note:** The resulting quadratic equation is an exact fit if three noncollinear data points
are entered. The correlation coefficient r is not calculated.

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`

.