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US Birth Rate vs US R&D Expenditure

US Birth Rate and US R&D Expenditure correlate at r = -0.91 over 28 years (1996–2023), p < 0.0001. With the time trend removed, r = -0.52. Holds up after detrending.

Verdict: Holds up after detrending. Statistically significant (p = < 0.0001) and the association survives trend removal (detrended r = -0.52). Correlation still isn't causation, but this one isn't an obvious artifact.

Pearson r
-0.91
p-value
< 0.0001
Years compared (n)
28 (1996–2023)
95% confidence interval
-0.96 to -0.80
Correlation with the time trend removed
-0.52

Sources

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