Correlation and Regression: the Coefficient r, Least Squares, Correlation Is Not Causation

How to measure the strength of a linear relationship between two variables. A scatter plot of hours of study and quiz scores, the correlation coefficient r ≈ 0.92 computed step by step, the scale from −1 to 1, and why r measures only a linear relationship. The regression line y = mx + b by least squares, found with the derivative: y = 1.2x + 1.8 and a prediction. And why correlation does not imply causation (ice cream and drownings, illustrative data). A summary of the statistics topic. Animated on the board: no voice, just the mathematics. 0:00 Correlation 1:45 The regression line 3:39 Correlation and causation 5:15 Summary of the topic #statistics #correlation #regression #leastsquares #math #tutor