To put all the coefficients in a column, use the TRANSPOSE function.

To get predicted Y values, use the TREND function. For this model, the
syntax is
=TREND(B2:B53,A2:A53^{0,1,2,3,4,5,6},prediction_x_ vals,0,)
If you just want the predicted values for the original data, you can omit
the third argument
=TREND(B2:B53,A2:A53^{0,1,2,3,4,5,6},,0,)

Jerry

"gdors" wrote:

Very nice solution! Is there a way to present the resulting coefficients in
the same column as the data? Or, better yet, to predict the value of Y from a
New X and known Xs and known Ys that fit well to a polynomial?

"B. R.Ramachandran" wrote:

Hi Andrew,

Let's suppose that the x- and y- ranges are in A2:A53 and B2:B53 respectively.
Select a 7 column x 1 row area, enter the following formula, and confirm
with CTRL-SHIFT-ENTER.

=LINEST(B2:B53,A2:A53^{0,1,2,3,4,5,6},0,)

The formula will return the 7 coefficients, starting from the zeroth order
and ending with the 6th order.

If you want to have the coefficients shown starting from the 6th order and
ending in the zeroth order, modify the formula as,

=LINEST(B2:B53,A2:A53^{6,5,4,3,2,1,0},0,)

Regards,
B. R. Ramachandran