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So berechnen Sie Pearson Correlation

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Pearson's r measures the strength and direction of the linear relationship between two continuous variables. r ranges from −1 (perfect negative) to +1 (perfect positive); r=0 means no linear relationship.

Schritt-für-Schritt-Anleitung

  1. 1r = Σ(xi−x̄)(yi−ȳ) / √[Σ(xi−x̄)² × Σ(yi−ȳ)²]
  2. 2Positive r: both variables increase together
  3. 3Negative r: one increases as the other decreases
  4. 4r² = proportion of variance in Y explained by X

Gelöste Beispiele

Eingabe
r = 0.85 between height and weight
Ergebnis
Strong positive correlation · r²=0.72
Height explains 72% of weight variation

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