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Re: Generating best-fit line formula for arbitrary list

• To: mathgroup at smc.vnet.net
• Subject: [mg103386] Re: [mg103370] Generating best-fit line formula for arbitrary list
• From: Matthias Bode <lvsaba at hotmail.com>
• Date: Sat, 19 Sep 2009 05:27:15 -0400 (EDT)
• References: <200909180938.FAA09149@smc.vnet.net>

Hello Kelly:

Perhaps you are looking for

http://mathworld.wolfram.com/LeastSquaresFitting.html

as "the best-fit line for a given List".

Best regards,

MATTHIAS BODE
COCHABAMBA/BOLIVIA




> Date: Fri, 18 Sep 2009 05:38:02 -0400
> From: kelly.terry.jones at gmail.com
> Subject: [mg103370] Generating best-fit line formula for arbitrary list
> To: mathgroup at smc.vnet.net
>
> Mathematica's Fit function can find the best-fit line for a given List:
>
> Fit[Table[Prime[n],{n,1,20}],{1,x},x]
>
> I want Mathematica to spit out the formula for linear regression for
> an arbitrary list. This fails:
>
> Fit[s,{1,x},x]
>
> since "First argument s in Fit is not a list or a rectangular array".
>
> This works:
>
> t = Table[s[n],{n,1,20}]
> Fit[t,{1,x},x]
>
> but is ugly and unhelpful, since it mentions each of the 20 terms
> individually, and doesn't generalize to an arbitrary-size list.
>
> I'm looking for things like Mean[t] or Apply[Plus,t^2] in the answer.
>
> Can I make Mathematica give me the general formula here?
>
> --
> We're just a Bunch Of Regular Guys, a collective group that's trying
> to understand and assimilate technology. We feel that resistance to
> new ideas and technology is unwise and ultimately futile.
>

• References:
  • Generating best-fit line formula for arbitrary list
    • From: Kelly Jones <kelly.terry.jones@gmail.com>