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Atmospheric CO₂ (Mauna Loa) vs US College Enrollment

Atmospheric CO₂ (Mauna Loa) and US College Enrollment correlate at r = +0.91 over 39 years (1971–2022), p < 0.0001. With the time trend removed, r = -0.76. Direction flips without the trend.

Verdict: Direction flips without the trend. The raw correlation is 0.91, but once each series' time trend is removed it becomes -0.76. The year-to-year movements run the opposite way to the long-run trends, so the headline number is misleading.

Pearson r
+0.91
p-value
< 0.0001
Years compared (n)
39 (1971–2022)
95% confidence interval
0.83 to 0.95
Correlation with the time trend removed
-0.76

Sources

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