comparing ARIMA model to data

hi,

i am trying to teach myself about ARIMA models. i have followed examples
from a number of sources and have more or less got the hang of how it
works. i would like to compare the output from the fitted model to the
original data. is this possible? or even a meaningful thing to do?

to be clear, for example, having generated a fit to some data using

fit <- arima(LakeHuron, order = c(1, 0, 1))

and then plotting the data with

plot(LakeHuron)

is it possible to overlay the output of the model on the original data
to compare how well it captures the variations in the data? i know that
predict can be used to extrapolate beyond the end of the data series,
but i want to evaluate the model within (not beyond) the original data.

best regards,
andrew.

Andrew B. Collier

Physicist
Waves and Space Plasmas Group
Hermanus Magnetic Observatory

Honorary Senior Lecturer                             tel: +27 31 2601157
Space Physics Research Institute                     fax: +27 31 2607795
University of KwaZulu-Natal, Durban, South Africa    gsm: +27 83 3813655