Great idea! Make sure to post a link in your signature, and considering using something like google sheets to automatically create a graph of the data. See my signature for an example.

This is called match the scramble and is part of the weekly competition.
I agree a relay would be fun, either 2-4 or 3-5. Would certain methods become more or less viable?

Not the best place to put this, but I don't think it deserves it's own thread:
When non cubers realize I can solve a cube: woah! That's so cool, how'd you do that?
When non cubers realize how often I solve a cube: don't you ever get bored?? You're such a nerd.

Child labor laws are the worst. They make so it's really hard to get any real amount of money until you're at least 16 (14 in some places) I imagine it would be hard to get non cubers to donate to something like that. I would suggest mowing lawns or finding a contractor who's willing to pay you...

Until high school I never got out of the habit of just waiting for my mom to tell me when my nails were too long before I cut them. Now my cube just tells me. I can't tell if that's pathetic or just nerdy.

I think the issue is that one person posted his accomplishment so others could celebrate/encourage his personal progress, and PDF (much simpler and more obvious abbreviation of penguinsdontfly....) used it as an opportunity to engage in interpersonal competition, which was taken by others as an...

So the data isn't very helpful :/ I'm still curious whether we could determine the limit based on the limits of a particular method (movecount, lookahead, etc.)

Here's the best I've gotten so far, but I think this is a dead end. I couldn't figure out how to transform the data into the shape of graph I was expecting with the math skills I have.
So assuming you can't mathematically calculate the limit of 3x3 times from the data we have available, perhaps...

You would use statistics to collect the data, but then using the line of best fit from statistics to determine the limit would be calculus, would it not?
Either way, I acknowledged in the OP that it would be difficult to procure reliable data and so I guess my question was more theoretical than...

I recently began solving the Square-1. My first ao5 was 6 minutes. Only a few days later I was averaging 1 minute.
Last month on 4x4 I was averaging 1:45 and now I've only shaved 15 seconds off my times.
A non-cuber might think I'm absolutely awful at 4x4, given that I've improved by such a...

But if you solve whatever piece happens to be within sight already you don't have to worry about searching at all until you get down to just a few pieces left usually.