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US Coal Consumption vs US Adult Obesity

US Coal Consumption and US Adult Obesity correlate at r = -0.32 over 45 years (1980–2024), p = 0.031. With the time trend removed, r = +0.85. Direction flips without the trend.

Verdict: Direction flips without the trend. The raw correlation is -0.32, but once each series' time trend is removed it becomes 0.85. The year-to-year movements run the opposite way to the long-run trends, so the headline number is misleading.

Pearson r
-0.32
p-value
0.031
Years compared (n)
45 (1980–2024)
95% confidence interval
-0.56 to -0.03
Correlation with the time trend removed
+0.85

Sources

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