Notes on Standardized Data and Correlation Coefficient

  • Similar vs. Standardized Scatter

    • Analogy to Similar Triangles: Similar triangles are not identical but are proportional; one is a scaled version of the other. Similarly, the original scatter plot and the standardized scatter plot are related proportionally.

    • Original Data vs. Standardized Data: The standardized data represents a compressed version of the original scatter. While the absolute positions of the dots change, the relative scatter (the relationship between the points) remains the same.

    • Least Squares Regression Lines (LSRL):

      • The LSRLs for the original and standardized data are not the same; they have different slopes.

      • Despite different slopes, the relative scatter and the relationship between the data points are preserved.

  • Desmos Activity: 2.2.1 Correlation Coefficient

    • Objective: To visually demonstrate the concepts of standardized data and the correlation coefficient.

    • Steps for Activity Navigation:

      1. Open modules -> 2.2.1 ->