Update #3: Human readable text summaries
Since launching the project, we've had a number of people come up to us and say: "Hey, that graph is sexy, but sometimes I might just want a quick text description of what the weather is going to do over the next hour."
For a while now, we've pondered that very problem. The thing is, a picture really is worth a thousand words. How do you boil down a squiggly complicated precipitation projection into a single sentence?
We've been working on it, and we think we've cracked the problem. The app can now generate text along the lines of: "It will start raining in 8 minutes, and stop 15 minutes later."
Check out the image below for some examples of actual output from this new system.
(So far, we're not quite sure how to best incorporate this text into the app. That's a problem for another day!)

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We're two guys, Jack Turner and Adam Grossman. We work as mild-mannered web / mobile developers, operating our company (Jackadam) out of an office in beautiful downtown Troy, NY. Visit our website, at http://jackadam.net
Similar to what Michael W. was saying: on the graph you could mark out the transitions, put a timestamps on the transition points, and between the transition points put the descriptive text like
+ 0 (now) +10 (3:45) +30 (4:05) +60 (4:10)
| Light rain | Heavy rain | No precipitation |
+0 (now)...........+10 (3:45)............ +30 (4:05).................... +60 (4:10)
| Light rain........ | Heavy rain......... | No precipitation........ |
KiltBear and Michael: Good ideas!