Finding polynomials from a set of coordinates
03-10-2017, 07:42 PM (This post was last modified: 03-10-2017 09:06 PM by Han.)
Post: #2
 Han Senior Member Posts: 1,882 Joined: Dec 2013
RE: Finding polynomials from a set of coordinates
http://support.hp.com/us-en/document/c01939749

EDIT: I don't have my HP50G in front of me and the screenshots in the link above do not list polynomial fit as a choice, so the link above my not apply directly to you if you are looking for a polynomial fit. So if there is no polynomial fit option, you would need to do it by hand using the Vandermonde matrix. https://en.wikipedia.org/wiki/Polynomial_regression

EDIT #2:

[[ 8 ] [ 5 ] [ 11 ] [ 16 ] [ 18 ] [ 14]]
[ 0 4 8 12 16 20 ]
VANDERMONDE
/

returns

[[ 8 ]
[ '-439/120' ]
[ '203/192' ]
[ '-151/1536' ]
[ '13/3072' ]
[ '-3/40960' ]]

This is a list of the cefficients $$a_0, a_1, \dotsm, a_5$$ of the polynomial
$a_0 + a_1 \cdot x + a_2 \cdot x^2 + a_3 \cdot x^3 + a_4 \cdot x^4 + a_5 \cdot x^5$
That is, $$a_0 = 8$$, $$a_1 = -\frac{439}{120}$$, $$a_2 = \frac{203}{192}$$, $$a_3 = -\frac{151}{1536}$$, $$a_4 = \frac{13}{3072}$$, and $$a_5 = -\frac{3}{40960}$$.

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 Messages In This Thread Finding polynomials from a set of coordinates - tdh79 - 03-10-2017, 07:39 PM RE: Finding polynomials from a set of coordinates - Han - 03-10-2017 07:42 PM RE: Finding polynomials from a set of coordinates - Juan14 - 03-10-2017, 08:44 PM RE: Finding polynomials from a set of coordinates - tdh79 - 03-12-2017, 07:56 PM RE: Finding polynomials from a set of coordinates - Han - 03-10-2017, 09:09 PM RE: Finding polynomials from a set of coordinates - tdh79 - 03-10-2017, 09:13 PM RE: Finding polynomials from a set of coordinates - Han - 03-10-2017, 09:18 PM RE: Finding polynomials from a set of coordinates - tdh79 - 03-10-2017, 09:57 PM RE: Finding polynomials from a set of coordinates - SlideRule - 03-11-2017, 12:53 AM RE: Finding polynomials from a set of coordinates - grsbanks - 03-11-2017, 10:25 AM RE: Finding polynomials from a set of coordinates - SlideRule - 03-12-2017, 01:49 PM RE: Finding polynomials from a set of coordinates - Csaba Tizedes - 03-12-2017, 05:58 PM RE: Finding polynomials from a set of coordinates - Dieter - 03-12-2017, 06:38 PM RE: Finding polynomials from a set of coordinates - Csaba Tizedes - 03-12-2017, 08:27 PM RE: Finding polynomials from a set of coordinates - Dieter - 03-12-2017, 11:31 PM RE: Finding polynomials from a set of coordinates - Csaba Tizedes - 03-13-2017, 03:00 PM RE: Finding polynomials from a set of coordinates - grsbanks - 03-13-2017, 03:05 PM RE: Finding polynomials from a set of coordinates - Csaba Tizedes - 03-13-2017, 03:37 PM RE: Finding polynomials from a set of coordinates - SlideRule - 03-13-2017, 02:11 AM RE: Finding polynomials from a set of coordinates - SlideRule - 03-14-2017, 02:20 AM RE: Finding polynomials from a set of coordinates - tdh79 - 03-19-2017, 10:35 AM RE: Finding polynomials from a set of coordinates - SlideRule - 03-19-2017, 11:49 PM

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