regression - How do I explain the line of best fit in this diagram? - Cross Validated

I teach an intro statistics class at my university (as a graduate student) and I was scouring the internet for interesting graphs on the history of linear regression when I came upon this picture

Simple Linear Regression in R - GeeksforGeeks

Linear Regression in Machine learning - GeeksforGeeks

Constructing a best fit line

Regression Analysis: Step by Step Articles, Videos, Simple Definitions

Path Analysis

4. Regression and Prediction - Practical Statistics for Data Scientists [Book]

StackingCVRegressor: stacking with cross-validation for regression - mlxtend

Random Forest Regression - The Definitive Guide

Frontiers Common statistical concepts in the supervised Machine Learning arena

Chapter 7 Multivariate Adaptive Regression Splines

Line of Best Fit: Definition, How It Works, and Calculation

K-Fold Cross Validation Technique and its Essentials

Linear Regression (2 of 4)

7 of the Most Used Regression Algorithms and How to Choose the Right One, by Dominik Polzer