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Sydney Average Temperature vs US Resident Patent Applications

Sydney Average Temperature and US Resident Patent Applications correlate at r = +0.58 over 42 years (1980–2021), p < 0.0001. With the time trend removed, r = +0.51. Holds up after detrending.

Verdict: Holds up after detrending. Statistically significant (p = < 0.0001) and the association survives trend removal (detrended r = 0.51). Correlation still isn't causation, but this one isn't an obvious artifact.

Pearson r
+0.58
p-value
< 0.0001
Years compared (n)
42 (1980–2021)
95% confidence interval
0.34 to 0.75
Correlation with the time trend removed
+0.51

Sources

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