DataGraph has a click-action functionality allows you to click on a graph and update variables. Then you can base commands on the values of these variables (e.g., mask data).
It is not web-based but you could use in a presentation, for example in Presentation mode.
We mimicked the website you provided in an example that has been uploaded to File > On-line examples, “Interactive Line Plot”.
Is this is similar to what you wanted?
If so, we can make a demo video to show how we made this file.