## Quartic Regression

The quartic regression option finds the equation of
the form y = ax^{4} + bx^{3} + cx^{2} + dx + e
that best fits a set of data.
First, enter the data.

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 quartic.

Therefore, the best-fit quartic equation for this data is approximately
y = .00011x^{4} - .0104x^{3} - .0504x^{2} + 6.037x - 3.89.

(Note the scientific notation for the first term.)

**Note:** The resulting quartic equation is an exact fit if five noncollinear, nonparabolic,
noncubic 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`

.