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US Infant Mortality vs US Resident Patent Applications

US Infant Mortality and US Resident Patent Applications correlate at r = -0.92 over 42 years (1980–2021), p < 0.0001. With the time trend removed, r = +0.31. Direction flips without the trend.

Verdict: Direction flips without the trend. The raw correlation is -0.92, but once each series' time trend is removed it becomes 0.31. The year-to-year movements run the opposite way to the long-run trends, so the headline number is misleading.

Pearson r
-0.92
p-value
< 0.0001
Years compared (n)
42 (1980–2021)
95% confidence interval
-0.95 to -0.85
Correlation with the time trend removed
+0.31

Sources

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