Re: damped oscilations data fit
- To: mathgroup at smc.vnet.net
- Subject: [mg70585] Re: damped oscilations data fit
- From: "Ray Koopman" <koopman at sfu.ca>
- Date: Fri, 20 Oct 2006 05:21:54 -0400 (EDT)
- References: <eh4ntl$7sb$1@smc.vnet.net><eh7aqc$e8r$1@smc.vnet.net>
Ray Koopman wrote: > [...] guess at the form of the function: > y = a + b*Sin[t/c]*Exp[-t/d] > [...] y = a + (b1*Sin[t/c] + b2*Cos[t/c])*Exp[-t/d] gives a better fit: the root-mean-square residual is .291, compared to .327 for the sine-only model. The difference is statistically significant (assuming the residuals are i.i.d. normal), and the plot looks better. The parameter estimates are a = 54.5192, b1 = 2.22174, b2 = -0.60541, c = 82.0552, d = 2661.24