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US Alcohol Consumption vs US Fertility Rate

US Alcohol Consumption and US Fertility Rate correlate at r = -0.77 over 21 years (2000–2020), p < 0.0001. With the time trend removed, r = +0.38. Direction flips without the trend.

Verdict: Direction flips without the trend. The raw correlation is -0.77, 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
-0.77
p-value
< 0.0001
Years compared (n)
21 (2000–2020)
95% confidence interval
-0.90 to -0.51
Correlation with the time trend removed
+0.38

Sources

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