Robert M. Sholl’s portfolio

Bootstrap Lab

Refit a regression line on resampled copies of the data and watch the slope's sampling distribution, and its confidence interval, build up one resample at a time.

The data and every refit line

Filled points were drawn into the latest resample; the number inside is how many times. Hollow points were left out this time.

Sampling distribution of the slope

Sampling distribution of the intercept

Parameter uncertainty

Does the interval settle down?

Slope percentile-interval endpoints as resamples accumulate.

How many distinct rows does a resample use?

Each resample has n rows but repeats some. On average 1 − (1 − 1/n)n ≈ 63.2% are distinct.