A worked example, rendered from real sample data. Sign in to run the tool on your own input.
Ad spend (k$): 1 2 3 4 5 6 7 8
Signups: 2 4 5 4 7 8 9 11═══ Verdict ═══
✓ Pearson r = 0.9682 is significant (p = 0.000079 < α = 0.05, two-tailed)
ℹ very strong positive linear relationship; r² = 0.9374 means 93.7% of the variance in Signups moves with Ad spend (k$)
✓ Pearson and Spearman agree, which is what a roughly linear relationship looks like
═══ Pearson (linear) ═══
r: 0.9682
r² (coefficient of determination): 0.9374
t statistic: 9.4774
Degrees of freedom: 6
p-value (two-tailed): 0.000079
95% CI for r (Fisher z): 0.8293 to 0.9944
Strength: very strong positive
Pearson measures straight-line association only, and a single far-out point can dominate it.
═══ Spearman (monotonic, rank based) ═══
rho: 0.9581
t statistic: 8.1935
p-value (two-tailed): 0.000178
Strength: very strong positive
Use Spearman when the relationship is curved but consistently rising or falling, when the data are ordinal (ratings, ranks), or when outliers are distorting Pearson.
═══ Kendall tau-b ═══
tau-b: 0.9092
Concordant pairs: 26
Discordant pairs: 1
z: 3.0929
p-value (normal approximation): 0.001982
tau-b is the most robust of the three for small samples and heavy ties, at the cost of power.
═══ Data Checks ═══
Sample size: 8 pairs
Ad spend (k$): mean 4.5000, sd 2.4495
Signups: mean 6.2500, sd 3.0119
Fitted line: Signups = 1.1905 × Ad spend (k$) + 0.8929
✓ No values beyond the 1.5×IQR fences
Largest Cook's distance: 0.358 at point 4
⚠ With 8 pairs, r is a noisy estimate — look at the width of the CI above
═══ Correlation Is Not Causation ═══
This says Ad spend (k$) and Signups move together. It does not say Ad spend (k$) causes Signups.
Signups
…
Analyze correlation between variables. Part of the DevTools Surf developer suite. Browse more tools in the Statistics collection.