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