mixed signals from french economy the french economy picked up speed at the end of 2004  official figures show - but still looks set to have fallen short of the government s hopes.  according to state statistics body insee  growth for the three months to december was a seasonally-adjusted 0.7-0.8%  ahead of the 0.6% forecast. if confirmed  that would be the best quarterly showing since early 2002. it leaves gdp up 2.3% for the full year  but short of the 2.5% which the french government had predicted.  despite the apparent shortfall in annual economic growth  the good quarterly figures - a so-called  flash estimate  - mark a continuing trend of improving indicators for the health of the french economy. the government is reiterating a 2.5% target for 2005  while the european central bank is making positive noises for the 12-nation eurozone as a whole. also on friday  france s industrial output for december was released  showing 0.7% growth.  the numbers are good   said david naude  economist at deutsche bank.  they send a positive signal of a rebound in output... and open the way for a continuation in that trend into the new year.  service sector activity improved in january  hitting a seven-month high. but unemployment remains high at about 10%.