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Outline
A Geometry Teacher Meets the Correlation Coefficient
The Problem That Started it All
Correlation Fun Facts
Fun Fact About Regression Lines
Fun Facts About Z-Scores
A Simpler Problem
A Geometry Teacher Meets the Correlation Coefficient
Author:
Steve Phelps
Topic:
Correlation
,
Geometry
An investigation into the correlation coefficient and some unexpected conics
Table of Contents
The Problem That Started it All
The Original Problem
Correlation Fun Facts
The Correlation Coefficient as a Slope
Correlation as the Cosine of an Angle
Correlation as a Geometric Mean of Slopes
Correlation as the Mean of Rectangle Areas
Fun Fact About Regression Lines
Correlation and the Least Squares Regression Line
Finding Equations of LSRL: Old School
Fun Facts About Z-Scores
Z-Scores as Geometric Transformations
A Simpler Problem
Correlation of the Vertices of a Triangle
Guess the Equation
Next
The Original Problem
New Resources
Tracing an Ellipse Using Two Circles
Assistants (custom GPTs or Gemini Gems) for Math
AI for Math Teachers (prompt examples)
bewijs stelling van Pythagoras
Circumference of a unit circle
Discover Resources
standing_wave_in_out
ellipse
Line Symmetry 1
The Changing Diagram
presentation
Midpoint vs Trapezoid Rule Error
Discover Topics
Equilateral Triangles
Pyramid
Curve Sketching
Quadratic Equations
Trigonometric Functions
