A lot of the comments make the point that doing "real" science at home is pretty much impossible now due to the need for expensive equipment, and decades of experience. As a professional scientist I think that's nonsense. I think what people are missing is the shifting paradigm of how things are measured. I'm really excited by the possibilities suggested by (for instance) the next generation of smart phones, that hopefully might have many more sensors embedded (RFID, gas sensors, temperature/pressure)... and for the large scale distributed sensor networks that might result. The web of things, ubiquitous computing and widespread availability of cheap hardware that makes good enough (not excellent, but good enough) measurements over a wide scale are going to give professional (and amateur) scientists a whole new lever on the world.
Additionally some scientific disciplines (like astronomy oddly enough) have become data rich in the last few years, I literally have tapes and discs containing data I'll likely never get round to analysing because I don't have time. Likewise for all my colleagues, who have similar piles in their offices. The arrival of the new generation of all-sky telescopes (like the LSST) which will give us access to the sky in the time-domain isn't really going to change that, it's only going to get worse in fact.
All of which puts doing "real" science at home well in the reach of most (educated) amateurs.