AI-generated Computed, not drawn Bar and Simpson inputs are illustrative

This visualization workshop was generated by Claude (Anthropic) for the STAT 101 course materials. Every number on it is computed in your browser and recomputed on every knob change: every mean, the sample variance with the n − 1 divisor, the covariance, the correlation, the regression slope and intercept, the exaggeration factor, and the pooled and per-group slopes. Nothing on this page is sketched.

Anscombe’s quartet is the canonical published dataset — the eleven (x, y) pairs of each of the four sets are recovered verbatim from Anscombe’s 1973 table, not invented. The four sets were constructed to share their summary statistics; this page confirms that they do, live, to two decimals, while drawing the four scatterplots so you can see they look nothing alike. The two-bar values and the Simpson dataset are hand-chosen illustrative inputs; the arithmetic done on them is real.

Anscombe’s quartet: F. J. Anscombe, “Graphs in Statistical Analysis,” The American Statistician, vol. 27, no. 1, pp. 17–21, 1973 (Table 1). Sample variance uses the n − 1 (Bessel) divisor, the unbiased estimator; the “identical statistics” claim is stated for that estimator, so the divisor is load-bearing. Simpson’s paradox: E. H. Simpson, “The Interpretation of Interaction in Contingency Tables,” JRSS B, vol. 13, 1951.

Visualization workshop — when a chart tells the truth, and when it lies

Course demo — reached from the Labs & Demos hub; the page itself is English‑only for now. Built for STAT-101 Module 2. Three things a good chart makes obvious and a summary number hides: Anscombe’s quartet (four datasets, identical statistics, four different shapes), a truncated axis (how a 5% gap is made to look like a doubling), and Simpson’s paradox (a trend that reverses once you split by group). Every statistic is computed here, so “which chart is honest” has a number attached.

 

 
 

 

 
 

Anscombe — which set to highlight

 

 

Truncated axis — the bar comparison

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Simpson’s paradox

 

 

The four sets, in numbers

 

 

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The arithmetic, in full