  We investigate the non-equilibrium two-time correlation and response
functions and the associated fluctuation-dissipation ratio for the
ferromagnetic Ising chain with Glauber dynamics. The scaling behavior of these
quantities at low temperature and large times is studied in detail. This
analysis encompasses the self-similar domain-growth (aging) regime, the spatial
and temporal Porod regimes, and the convergence toward equilibrium. The
fluctuation-dissipation ratio admits a non-trivial limit value $X_\infty=1/2$
at zero temperature, and more generally in the aging regime.
