Interactive Correlation Simulator

Explore how correlation affects scatter plots, regression lines, and shared variance

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Scatter Plot

Click anywhere on the chart to add a point at that location

Interpretation Guide

Correlation Strength: Moderate positive correlation

-1.0
-0.5
0
+0.5
+1.0
Strong Negative No Correlation Strong Positive

What these values mean:

  • Pearson r: Measures the linear relationship between variables (-1 to +1). Values closer to +/-1 indicate stronger correlation.
  • R²: The coefficient of determination - shows what percentage of variation in one variable is explained by the other.
  • Spearman ρ: Measures the strength and direction of monotonic relationships, useful when data doesn't follow normal distribution.
  • p-value: Statistical significance - values below 0.05 typically indicate a significant correlation.

Regression equation: Predicts y based on x values. In the form y = intercept + slope*x.

Correlation Statistics

40% Shared Variance

Pearson r:

0.63

R²:

0.40

Spearman ρ:

0.62

p-value:

0.0001

Descriptive Statistics

Mean(x): 100.00
Mean(y): 100.00
SD(x): 5.00
SD(y): 3.00
Regression equation: y = 62.20 + 0.38*x
n: 50
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