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US Energy Use per Capita vs US Resident Patent Applications

US Energy Use per Capita and US Resident Patent Applications correlate at r = -0.47 over 42 years (1980–2021), p = 0.0015. With the time trend removed, r = -0.11. Holds up after detrending.

Verdict: Holds up after detrending. Statistically significant (p = 0.0015) and the association survives trend removal (detrended r = -0.11). Correlation still isn't causation, but this one isn't an obvious artifact.

Pearson r
-0.47
p-value
0.0015
Years compared (n)
42 (1980–2021)
95% confidence interval
-0.68 to -0.20
Correlation with the time trend removed
-0.11

Sources

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