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US Solar Energy Consumption vs US Mobile Subscriptions

US Solar Energy Consumption and US Mobile Subscriptions correlate at r = +0.59 over 41 years (1984–2024), p < 0.0001. With the time trend removed, r = -0.59. Direction flips without the trend.

Verdict: Direction flips without the trend. The raw correlation is 0.59, but once each series' time trend is removed it becomes -0.59. The year-to-year movements run the opposite way to the long-run trends, so the headline number is misleading.

Pearson r
+0.59
p-value
< 0.0001
Years compared (n)
41 (1984–2024)
95% confidence interval
0.34 to 0.76
Correlation with the time trend removed
-0.59

Sources

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