AMBIGUOUSLY

What fraction of active users will switch back to dark mode?

I've struggled to get my "prediction" in the right format, but I think this is about as close as I'm going to get.
My prediction isn't as much "my" prediction as "what I think the market probabilities are" and my view is "the market is broadly sensible".
I thought this question was going to be pretty sensitive to kurtosis, so rather than modelling it as a lognormal random walk, I fitted a [Heston model](https://en.wikipedia.org/wiki/Heston_model) to the Deribit option prices.
Having spent a bunch of time collecting the prices and fitting the model. My...

There's something fairly nasty about predicting maximums on Metaculus. The "correct" distribution is a mixture of discrete (probability we've already had the maximum) and continuous (probability the maximum is yet to come). (The distribution also tends to be very not-symmetric, which is always quite hard to predict using the Metaculus input).

@(alexlyzhov) If anyone is interested in calculating this for themselves, they can look at prices [from Deribit](https://www.deribit.com/main#/options?tab=BTC-31DEC21).
The quick and dirty calculation would be to look at the 80k/120k call spread (divided by 40k). Currently this is:
* (14,700 - 9,750)/(40,000) = 4,950/40,000 = 12.4%
A barely more sophisticated way to do this would be to calculate a tight call spread using Black-Scholes around 100k. To avoid worrying about (fairly confusing) interest rates, we can use the forward from Deribit: 54,400 an...

POSITIVELY

@(PeterHurford) Of course.
The probability of a random walk starting at 0 reaching a point \(x\) after time \(t \) with volatility \( \sigma \) is [given by](https://quant.stackexchange.com/a/12797/12046):
\[ \mathrm{erfc}\left( \frac{x}{\sqrt{2t \sigma^2}} \right) \]
To calculate \(\sigma\), I downloaded data from [CoinDesk](https://www.coindesk.com/price/bitcoin) and looked at the daily closes.
I then took the 0-mean standard deviation of the daily log returns:
\[ \sigma^2 = \frac{1}{\text{num days}} \sum_{\text{all days}} \left ( \textrm{log} \le...

I'm sure I'm just embarrassing myself at this point, but despite all the evidence I think this is starting to look like a Metaculus special.
1. Cases in Scotland already peaked ~2.5 weeks ago. The latest wave started there around ~3 weeks earlier than in England.
2. Cases in the UK look like they are *starting* to peak. (Low confidence in this, but I can persuade myself they've already peaked)
3. Current case level is "just" sufficient to cause 100 deaths/day:
Currently cases are converting to deaths at a rate somewhere between 0.15 and 0.2%. This wo...

@Tamay This is going to resolve positive before it opens ðŸš€ðŸš€ðŸš€

YOLO

@admins This resolves 1.28:
* One point if the report is mentioned in the English Wikipedia's section "In the news" on its main page. 0/1
* One point if the Google Trends interest in the topic of UFOs reaches at least 300% any prior level in the last 12 months, as determined using the current widget showing the last 12 months of interest on Google Trends. 1/1
* One point if a Reddit post regarding UAPs receives at least 150 thousand net upvotes, as measured by browsing /r/all and viewing the top posts of the last month. 0/1
* One point if President B...

[This website](https://www.wismuth.com/elo/calculator.html#name1=Carlsen%2C+Magnus&name2=Nepomniachtchi%2C+Ian&first_move=player1&formula=logistic&best_of=14) gives a 77% chance to Carlsen for the first 14 games, 12% to Nepo and 10% chance of a tie (and hence tiebreakers). (Using current Elo ratings)
Using the same odds (per game) for the tiebreaks, Carlsen has an ~75% chance of winning the tiebreak. So call this 85% chance of retaining the title.
I think this method drastically underestimates the number of draws in World Championship matches. The last...

The Court receives approximately 7,000-8,000 petitions for a writ of certiorari each Term. The Court grants and hears oral argument in about 80 cases.

That's a pretty brutal base rate

Irish reunification?

This is crazy volatile and I think @2e10e122 is correct to flag up crypto as a significant factor. (In the last crypto bull run, 60% of their donations were in crypto, and it remains their biggest year)

- 2019, $2,683,611, (~3.5% crypto)
- 2018, $2,436,573, (~40% crypto)
- 2017, $7,871,530, (~59% crypto)
- 2016, $2,701,563
- 2015, $1,578,488
- 2014, $1,829,946
- 2013, $1,807,197

@(PeterHurford) @admins I agree with your original analysis. This has been resolved incorrectly
The question text is: "This will resolve in the positive if the NASA GISS global average temperature for 2020 is published *above that of 2016*, the current record holder." Emphasis mine.
The [data](https://data.giss.nasa.gov/gistemp/tabledata_v4/GLB.Ts+dSST.txt) shows the temperature for both are the same. 1.02.
The question also asks: "Will 2020 again set a new record?". It seems clear to me this isn't a "new record" if it's tied.
Disclosure: I lose 69 p...

I think the community median is a little too optimistic about the chances of a sub 9.8 time this summer. There have only been 50 such times in history, 13 of them by Bolt, 8 by Powell and 7 by Gay, all of whom are retired. Of active runners who've gone sub 9.8 we have:
* Yohan Blake - fastest recent times in the high 9.9s, last ran sub 9.8 in 2012
* Gatlin - fastest recent times high 9.8s
* Coleman - currently banned
Over the last Olympiad, the [top performers](https://www.worldathletics.org/records/all-time-toplists/sprints/100-metres/outdoor/men/seni...

Current probabilities from PI & 538 for Biden
\( \begin{array}{l|c c}
State && PI && 538 \\
\hline
AK && 0.139 && 0.197 \\
AL && 0.045 && 0.021 \\
AR && 0.065 && 0.017 \\
AZ && 0.559 && 0.678 \\
CA && 0.926 && 0.998 \\
CO && 0.887 && 0.956 \\
CT && 0.944 && 0.999 \\
DC && 0.955 && 1.0 \\
DE && 0.935 && 1.0 \\
FL && 0.475 && 0.704 \\
GA && 0.393 && 0.497 \\
HI && 0.93 && 0.992 \\
IA && 0.363 && 0.484 \\
ID && 0.045 && 0.006 \\
IL && 0.935 && 0.999 \\
IN && 0.075 && 0.049 \\
KS && 0.094 && 0.046 \\
KY && 0.045 && 0.014 \\
LA && 0.065 && 0.057 \\
MA && 0....

Current probabilities from 538 & Economist for Biden
\( \begin{array}{l|c c}
State && 538 && Economist \\
\hline
AK && 0.197 && 0.068 \\
AL && 0.021 && 0.0 \\
AR && 0.017 && 0.0 \\
AZ && 0.678 && 0.667 \\
CA && 0.998 && 1.0 \\
CO && 0.956 && 0.99 \\
CT && 0.999 && 1.0 \\
DC && 1.0 && 1.0 \\
DE && 1.0 && 1.0 \\
FL && 0.704 && 0.767 \\
GA && 0.497 && 0.487 \\
HI && 0.992 && 1.0 \\
IA && 0.484 && 0.375 \\
ID && 0.006 && 0.0 \\
IL && 0.999 && 1.0 \\
IN && 0.049 && 0.001 \\
KS && 0.046 && 0.003 \\
KY && 0.014 && 0.0 \\
LA && 0.057 && 0.004 \\
MA && 1.0 && 1...