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US Annual CO₂ Emissions vs US Resident Patent Applications

US Annual CO₂ Emissions and US Resident Patent Applications correlate at r = +0.49 over 42 years (1980–2021), p = 9.3e-4. With the time trend removed, r = +0.05. Interpret with caution.

Verdict: Interpret with caution. Much of the apparent link is driven by a shared time trend: r falls from 0.49 to 0.05 once the trend is removed.

Pearson r
+0.49
p-value
9.3e-4
Years compared (n)
42 (1980–2021)
95% confidence interval
0.22 to 0.69
Correlation with the time trend removed
+0.05

Sources

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