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US Adult Obesity vs US CO₂ Emissions per Capita

US Adult Obesity and US CO₂ Emissions per Capita correlate at r = -0.78 over 45 years (1980–2024), p < 0.0001. With the time trend removed, r = +0.67. Direction flips without the trend.

Verdict: Direction flips without the trend. The raw correlation is -0.78, but once each series' time trend is removed it becomes 0.67. The year-to-year movements run the opposite way to the long-run trends, so the headline number is misleading.

Pearson r
-0.78
p-value
< 0.0001
Years compared (n)
45 (1980–2024)
95% confidence interval
-0.87 to -0.63
Correlation with the time trend removed
+0.67

Sources

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