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Tokyo Average Temperature vs US Fertility Rate

Tokyo Average Temperature and US Fertility Rate correlate at r = -0.26 over 64 years (1960–2023), p = 0.037. With the time trend removed, r = +0.38. Direction flips without the trend.

Verdict: Direction flips without the trend. The raw correlation is -0.26, but once each series' time trend is removed it becomes 0.38. The year-to-year movements run the opposite way to the long-run trends, so the headline number is misleading.

Pearson r
-0.26
p-value
0.037
Years compared (n)
64 (1960–2023)
95% confidence interval
-0.48 to -0.02
Correlation with the time trend removed
+0.38

Sources

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