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Как да изчислим Linear Regression

Какво е Linear Regression?

The slope and intercept of a linear regression line (ŷ = mx + b) describe the best-fit straight line through a scatter of data points, minimising the sum of squared vertical residuals (OLS).

Ръководство стъпка по стъпка

  1. 1m = Σ(xi−x̄)(yi−ȳ) / Σ(xi−x̄)²
  2. 2b = ȳ − m × x̄
  3. 3Slope m has units of y/x
  4. 4Use for prediction: plug x into equation to get ŷ

Worked Examples

Вход
Height vs weight → slope = 0.65 kg/cm
Резултат
Each cm of height adds 0.65 kg to predicted weight
Slope interpretation depends on units

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