Timeline for Is it possible that X and Y are uncorrelated but X can significantly predict Y?
Current License: CC BY-SA 4.0
9 events
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| Feb 13 at 3:13 | history | edited | User1865345 | CC BY-SA 4.0 |
added 32 characters in body
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| Jul 18, 2022 at 6:17 | comment | added | jpa | @LorenPechtel As long as the range is symmetric. | |
| Jul 18, 2022 at 1:09 | comment | added | Loren Pechtel | @jpa They don't correlate even if you extend the range, do they?? | |
| Jul 17, 2022 at 9:00 | comment | added | jpa |
Another example is Y = cos(X) over -pi...pi, where X directly determines Y but they are uncorrelated.
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| Jul 17, 2022 at 3:43 | comment | added | Loren Pechtel | @Dave In his example Z isn't a value, but a knowledge of the relationship. A human can eyeball it and see what's going on but the correlation is going to come out zero. | |
| Jul 16, 2022 at 19:41 | comment | added | Emma N. | Dave: yep, I meant X alone can predict Y. | |
| Jul 16, 2022 at 19:17 | comment | added | Georg M. Goerg | Fair. That's why I included the first (toy) example to give specific (x,y) example without the conditional example. | |
| Jul 16, 2022 at 19:15 | comment | added | Dave | This is interesting, but I take the question to ask if $X$ alone can predict $Y$. | |
| Jul 16, 2022 at 19:13 | history | answered | Georg M. Goerg | CC BY-SA 4.0 |