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Normal Distribution Explorer
Adjust mean and standard deviation to see how the normal distribution bell curve shifts and stretches. Shade probability regions to compute areas under the curve and connect z-scores to percentiles.
Normal Distribution Explorer
Interactive Gaussian curve generator manipulating $\mu$ and $\sigma$ instantly mapped against the 68-95-99.7 Empirical Rule. Highlights discrete $Z$-score thresholds tracking precision standard deviation geometry exactly.
Scatterplots & Correlation (r)
Interactive scatterplot geometry demonstrating Pearson's correlation coefficient mapping bounds ($|r| \to 1$). Employs bivariate normal Box-Muller transformations to visually generate dynamic density clouds calculating $R^2$ determination variances overlaid mathematically on LSRL projection planes natively.