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US Birth Rate vs US Net Migration

US Birth Rate and US Net Migration correlate at r = -0.61 over 65 years (1960–2024), p < 0.0001. With the time trend removed, r = +0.21. Likely spurious (shared time trend).

Verdict: Likely spurious (shared time trend). Both series mostly just trend over time. After removing that trend the correlation collapses to 0.21 — the relationship is probably coincidental, not causal.

Pearson r
-0.61
p-value
< 0.0001
Years compared (n)
65 (1960–2024)
95% confidence interval
-0.75 to -0.43
Correlation with the time trend removed
+0.21

Sources

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