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Atmospheric CO₂ (Mauna Loa) vs US Annual Working Hours per Worker

Atmospheric CO₂ (Mauna Loa) and US Annual Working Hours per Worker correlate at r = -0.80 over 65 years (1959–2023), p < 0.0001. With the time trend removed, r = +0.41. Direction flips without the trend.

Verdict: Direction flips without the trend. The raw correlation is -0.80, but once each series' time trend is removed it becomes 0.41. The year-to-year movements run the opposite way to the long-run trends, so the headline number is misleading.

Pearson r
-0.80
p-value
< 0.0001
Years compared (n)
65 (1959–2023)
95% confidence interval
-0.87 to -0.69
Correlation with the time trend removed
+0.41

Sources

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