Dynamic Correlation Coefficient: Interactive Scatter Plot and Fit Line

① This example demonstrates how a dynamic slider controls data point distribution, updating the scatter plot, fitted line, and correlation coefficient in real time, revealing the changing strength of linear association between variables. ② Core mathematical concepts include Pearson correlation coefficient, linear regression (least squares), data distribution and continuity, supplemented by boxplot, histogram, and cosine function visualizations. ③ Construction highlights: uses GeoGebra's FitLineY command to generate the regression line, manages data points via a list (liste1), employs a slider (a) for dynamic adjustment, and displays the correlation value using LaTeX text (metin1); objects A through H are draggable points for interactive modification. ④ Suitable for high school to university-level statistics and data analysis teaching, ideal for demonstrating the intuitive relationship between correlation and regression, helping students understand how outliers or data distribution affect the correlation coefficient, and useful for classroom demonstrations or self-directed exploration.