Re: please solve

*To*: mathgroup at smc.vnet.net*Subject*: [mg52962] Re: please solve*From*: Robert <robert_dot_paynter_ at _eng_.ox.ac.uk>*Date*: Sat, 18 Dec 2004 03:59:35 -0500 (EST)*Organization*: Oxford University, England*References*: <cprk0m$r87$1@smc.vnet.net>*Sender*: owner-wri-mathgroup at wolfram.com

rcmcll at yahoo.com wrote: > Greetings: > > Could someone please solve this symbolically? > This is just the ols formula for beta-hat but I need a symbolic > solution for this special case. > > b = inv(x'x)x'y > > where > > x = 1 t t^2 > 1 t t^2 > 1 t t^2 > > > and simplify simplify simplify!! > > Thanks, > > Bob > Bob, I suggest you look at the formulations for Savitsky-Golay filtering, they should get you there in a nice systematic way, ie you will be able to extend if you wish. Perhaps searching for links more usually associated with signal & image processing might help. Regards Bob I really prefer my full name: Robert