Correlation Sandbox

STA-215 · Semester III · Statistics II

Correlation Coefficient

Pearson's r — strength and direction of a linear relationship.

Scatter plot (study hours vs score)

scorehours

Pearson r

0.996

Very strong positive

Formula

r = Σ(x−x̄)(y−ȳ) / √[Σ(x−x̄)² · Σ(y−ȳ)²]

numerator = 64.5, denominator = 64.8. r = 0 means no linear association — but the data could still curve.