Asymptopia

The voyage to get to Asymptopia starts.

**Guess the slope. Beat the noise. Watch the estimator converge.**

Asymptopia is a fast, arcade-flavored game about a real statistical idea: as

your sample size grows, an estimator gets more accurate — and you can *feel*

it happen.

Each stage, a hidden linear model is drawn: `y = α + βx + ε`. You're shown a

scatter of noisy data and asked to guess the slope **β** by aiming a line

through the cloud. Lock in your guess and fire the **magnet** — it sweeps

along your line and reels in every point it passes close to, and every point

caught is a point scored.

You clear the stage if your guess lands inside the *true* 90% sampling band of

the ordinary-least-squares estimator. Clear it, and the sample size doubles —

3 observations, then 6, 12, 24… all the way to 12,288 — and the band gets

tighter. Miss it, and the round ends.

At the end of every round you get the full reveal: the true line, the OLS

fit, your guess, the exact p-value of your call, and a live "funnel" plot

showing exactly where in the shrinking band you landed, stage by stage. Play

enough rounds and a growing histogram shows the shape of *every* guess you've

ever made — a sharp spike at zero means you're reading the noise well.

## Why it's fun even if you've never heard of OLS

You don't need to know any statistics to play — you're just eyeballing a line

through a cloud of dots and trying to beat a shrinking target. But if you

*have* studied econometrics, regression, or statistics, Asymptopia is the

large-sample-properties lecture turned into a reflex game: consistency,

asymptotic normality, and shrinking confidence intervals, all live under your

cursor.

## Features

- Endless-doubling stages, from n = 3 to n = 12,288

- A magnet-catch minigame that turns "how well does your line fit" into a

  real-time score

- Exact statistics under the hood — every band, every p-value, every OLS fit

  is the real computation, not a fudge

- A persistent high-score table (type your name in!)

- An all-time histogram of every guess you've made, across every session

- Original synth sound design + "Neon Laser Horizon" by Kevin MacLeod on the

  results and high-score screens

## Controls

- **Mouse** — aim your guess line through the data

- **Arrow keys** — fine-tune the slope (hold Shift for coarse steps)

- **Click / Enter / Space** — lock in your guess

- **H** (title screen) — view high scores

- **Esc** — bail out of a round

## Credits

Built by Bernardo Lara E. with Claude.

Music: "Neon Laser Horizon" by Kevin MacLeod (incompetech.com), licensed under

Creative Commons: By Attribution 4.0

(http://creativecommons.org/licenses/by/4.0/).