VisuApps
Experience stochastic phenomena visually
Apps
A model is a form with parameters: polynomials of degree 0 to 12 by least squares, residuals as squares (area = loss), held-out error over the degree and parameters that explode when overfitting.
Probability & statisticsTry it
Watch balls bounce through pegs and form a histogram. Adjust row count and probability and compare the result with the theoretical binomial distribution.
Probability & statisticsTry it
Eight draggable data points — signed rectangles around the means make covariance and the regression slope visible, including correlation sign and magnitude.
Probability & statisticsTry it
Rebuild 2.0 (preview): covariance as rectangle areas around the centroid, switchable units, least squares as real squares, both regression lines.
Probability & statisticsTry it
Many coin-flip runs at once: the relative frequency runs into the narrowing 95 % funnel, while the absolute heads surplus widens it — with exact values, the binomial distribution and the gambler's fallacy after 10 heads.
Probability & statisticsTry it
Spray, erase or place points one by one: quadrants show the covariance as signed rectangles, plus r, Spearman, R², two regression lines and examples where r misleads (U shape, outlier, two groups).
Probability & statisticsTry it
Least-squares line on lecture data: errors as squares, SST = SSR + SSE as a right triangle, SSE as a bowl over slope and position; Anscombe, a parabola and a confounder show what R² does not reveal.
Probability & statisticsTry it
Three, ten or a hundred doors: probability visibly flows onto the door the host leaves shut — plus a Bayes table, a tree, an ignorant host and the strategies always switch, never switch, 50/50 simulated thousands of times.
Probability & statisticsTry itWant to use these apps in your courses? Let’s find out what works for you.
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