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Thanks! I mostly intend for this app to be a teaching aide, i.e. soemthing I pull up while lecturing and walk them through what's going on.
- Regression estimate: The estimated slope of the line, or (to interpret it causally), the estimated effect that X has on Y
- Standard deviation: How spread apart the values are from the mean. For example, rolling a six-sided dice has smaller variance than rolling a 20-sided dice. The 20-sided dice gives values that are more spread out. In other words, higher SD = more noise.
You can tell how much noise there is by how sparead out the blue dots are around the line, yes.
Really cool, and I can see how it could help your students visualise and assimilate the concepts. When I studied statistics in school, it was merely about formulas, and not much about understanding the concepts and their real world application... In hindsight I think it was just a waste of time!
Could you please define your terms for the lay audience?
Also, can you tell if the data is noisy just by looking at the blue dots?
Thanks.