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US Milk Consumption per Person vs US R&D Expenditure

US Milk Consumption per Person and US R&D Expenditure correlate at r = -0.55 over 28 years (1996–2023), p = 0.0024. With the time trend removed, r = +0.43. Direction flips without the trend.

Verdict: Direction flips without the trend. The raw correlation is -0.55, but once each series' time trend is removed it becomes 0.43. The year-to-year movements run the opposite way to the long-run trends, so the headline number is misleading.

Pearson r
-0.55
p-value
0.0024
Years compared (n)
28 (1996–2023)
95% confidence interval
-0.77 to -0.22
Correlation with the time trend removed
+0.43

Sources

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