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US GDP per Capita vs US Urban Population

US GDP per Capita and US Urban Population correlate at r = +0.90 over 66 years (1960–2025), p < 0.0001. With the time trend removed, r = -0.41. Direction flips without the trend.

Verdict: Direction flips without the trend. The raw correlation is 0.90, but once each series' time trend is removed it becomes -0.41. The year-to-year movements run the opposite way to the long-run trends, so the headline number is misleading.

Pearson r
+0.90
p-value
< 0.0001
Years compared (n)
66 (1960–2025)
95% confidence interval
0.84 to 0.94
Correlation with the time trend removed
-0.41

Sources

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Correlation does not imply causation. How the verdict is worked out.