Interactive Demonstration of Hyperbola and Correlation Statistics

① This GeoGebra example dynamically demonstrates the geometric construction of a hyperbola while integrating statistical concepts such as correlation, geometric mean, and histograms, offering a cross-disciplinary visualization. ② Core mathematical concepts include the standard equation and asymptotes of a hyperbola, geometric mean, correlation coefficient, histogram representation, rational numbers, and similarity transformations. ③ Construction highlights: The example uses the If and Sequence commands to generate sequences, defines points T, A, V, B and parameters h, a, k, b, c, transval, gsize; builds coordinate grids via gridlines, ticks, xaxis, yaxis; uses text objects text1 through text3_4 for annotations; sets f1 and f2 as hyperbola branches, corr for correlation, asymptotes for asymptote lines, and check for interactive validation. ④ Suitable for high school to early college students to explore connections between conic sections and statistics, and as a reference for educators creating interactive lessons.