Thingspeak looks like a nice place to store data, it has Matlab analytics built in.
Non-commercial users are limited to
" Non-commercial users can use ThingSpeak for free subject to the limitations of the free license option. Users of the free option will be limited to sending no more than 3 million messages each year to the ThingSpeak service. For users of the free option, the message update interval limit remains limited at 15 seconds. "