Re: How to show level of accuracy from original data FROM Re: Coefficients from Fit as a list?

*To*: mathgroup at smc.vnet.net*Subject*: [mg63442] Re: How to show level of accuracy from original data FROM Re: [mg63396] Coefficients from Fit as a list?*From*: "Lea Rebanks" <lrebanks at netvigator.com>*Date*: Sat, 31 Dec 2005 06:40:45 -0500 (EST)*Sender*: owner-wri-mathgroup at wolfram.com

Really helpful. Many thanks Bob. -----Original Message----- From: Bob Hanlon [mailto:hanlonr at cox.net] To: mathgroup at smc.vnet.net Subject: [mg63442] Re: How to show level of accuracy from original data FROM Re: [mg63396] Coefficients from Fit as a list? points={{0,-1},{1,2},{3,7},{4,6},{7,9},{11,14}}; model=a*x^2+b*x+c; param={a,b,c}; var=x; f[x_]=model/.FindFit[points,model,param,var]; SumOfSq=Total[(f/@points[[All,1]]-points[[All,2]])^2] 6.72994 or MSE=Mean[(f/@points[[All,1]]-points[[All,2]])^2] 1.12166 Bob Hanlon > > From: "Lea Rebanks" <lrebanks at onetelhk.net> To: mathgroup at smc.vnet.net > Subject: [mg63442] How to show level of accuracy from original data FROM Re: [mg63396] Coefficients from Fit as a list? > > Hi Bob, > > When using FindFit to give the best linear approximation to data set > points. Could you show me a simple example of code / function to show > level of accuracy / error deviation from original data set. > > Many thanks > > Lea Rebanks... > > -----Original Message----- > From: Bob Hanlon [mailto:hanlonr at cox.net] To: mathgroup at smc.vnet.net > Subject: [mg63442] [mg63414] Re: [mg63396] Coefficients from Fit as a list? > > points={{0,-1},{1,2},{3,7},{4,6},{7,9},{11,14}}; > > Fit[points,{1,x,x^2},x] > > -0.0592841*x^2 + 1.89613*x - 0.113262 > > Reverse@Most@Cases[%,_?NumericQ,Infinity] > > {-0.0592841,1.89613,-0.113262} > > param={a,b,c}; > > param/.FindFit[points,a*x^2+b*x+c,param,x] > > {-0.0592841,1.89613,-0.113262} > > Needs["Statistics`NonlinearFit`"]; > > param/.(BestFitParameters/. > NonlinearRegress[points, > a*x^2+b*x+c, x, param]) > > {-0.0592841,1.89613,-0.113262} > > > Bob Hanlon > > > > > From: "LectorZ" <lectorz at mail.ru> To: mathgroup at smc.vnet.net > > Date: 2005/12/29 Thu AM 02:57:28 EST > > Subject: [mg63442] [mg63414] [mg63396] Coefficients from Fit as a list? > > > > Hi there, > > > > How can I store the coefficients from the Fit function as a list? > > > > Thanks, > > > > LZ > > > > > > > >