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US Population vs US R&D Expenditure

US Population and US R&D Expenditure correlate at r = +0.83 over 28 years (1996–2023), p < 0.0001. With the time trend removed, r = -0.85. Direction flips without the trend.

Verdict: Direction flips without the trend. The raw correlation is 0.83, but once each series' time trend is removed it becomes -0.85. The year-to-year movements run the opposite way to the long-run trends, so the headline number is misleading.

Pearson r
+0.83
p-value
< 0.0001
Years compared (n)
28 (1996–2023)
95% confidence interval
0.66 to 0.92
Correlation with the time trend removed
-0.85

Sources

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