Basic Math Concepts – Linear Regression
1. Arithmetic Operations
- Addition, subtraction, multiplication, division
- Why: Needed for calculating sums like ∑x , ∑y , and so on
2. Averages (Mean)
- Formula: xˉ=∑x / n
- Why: Helps to understand “center” of the data and later used in interpretation
3. Squares and Square Roots
- Understanding x² (e.g., 3² = 9)
- Why: Used to calculate ∑x², also in measuring errors (like MSE)
4. Basic Algebra
- Understanding variables (x, y), constants, and solving equations
- Why: Regression line is an equation: y = mx + c
5. Summation (Σ Notation)
- Notation like ∑x, ∑xy
- Why: Helps compactly represent data operations (used in slope/intercept formulas)
6. Slope and Intercept
- Concept of slope = “rise over run” in a line
Intercept = where the line crosses y-axis- Why: Key to understanding what the regression line really means
7. Correlation Intuition
- Not mandatory, but helpful to grasp: do two variables increase/decrease together?
- Why: Regression builds on this idea — fitting a line where such a pattern exists
Linear Regression – Visual Roadmap