Showing 7 results
Least Squares Regression Predictor
Dynamically adjust a line of best fit to actively minimize the sum of squared residuals (SSE) compared to the true OLS regression model.
Binomial Probability Model
Interactive Binomial exact probability mass function visualizing discrete histograms. Demonstrates dynamic skew based on fixed $n, p$ ratios and overlays large-sample normal convergence boundaries visually calculating exact vs cumulative density outcomes.
Confidence Intervals
Visualization generating multiple dynamic Confidence Interval margin 'nets' drawn from random standard errors. Empirically validates the meaning of 95% confidence by revealing the random capture vs failure rate against an unknown stationary population parameter line.
Linear Regression (LSRL)
Interactive graphical Least Squares regression engine visually proving the $e^2$ square-area minimization property via manual vs automatic fitting while actively mapping high leverage outlier penalties.
Chi-Square Test (Goodness of Fit)
Goodness of Fit interaction engine assessing categorical skew. Graphically maps individual $(O-E)^2/E$ penalty variance blocks onto nominal bar distributions to visually sum into absolute $\chi^2$ scalar outcomes linking directly to cumulative significance rejection limits.
Student's t-Distribution
Interactive dynamic rendering of Student's T probability density logic modeling $df$ expansion from 1 stabilizing towards normal Z convergence. Highlights fat tail density displacement explicitly revealing structural variance uncertainty for small sample designs.
Two-Way Independence
Probability matrices displaying Two-Way intersections visualizing Marginal row sums vs Joint cell probabilities dynamically tracking conditional shrinking denominators highlighting Independence verifications mathematically.