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US Fertility Rate vs US Median Age

US Fertility Rate and US Median Age correlate at r = -0.57 over 74 years (1950–2023), p < 0.0001. With the time trend removed, r = +0.71. Direction flips without the trend.

Verdict: Direction flips without the trend. The raw correlation is -0.57, but once each series' time trend is removed it becomes 0.71. The year-to-year movements run the opposite way to the long-run trends, so the headline number is misleading.

Pearson r
-0.57
p-value
< 0.0001
Years compared (n)
74 (1950–2023)
95% confidence interval
-0.70 to -0.39
Correlation with the time trend removed
+0.71

Sources

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