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US Bank Lending Interest Rate vs US R&D Expenditure

US Bank Lending Interest Rate and US R&D Expenditure correlate at r = -0.50 over 26 years (1996–2021), p = 0.0097. With the time trend removed, r = +0.33. Direction flips without the trend.

Verdict: Direction flips without the trend. The raw correlation is -0.50, but once each series' time trend is removed it becomes 0.33. The year-to-year movements run the opposite way to the long-run trends, so the headline number is misleading.

Pearson r
-0.50
p-value
0.0097
Years compared (n)
26 (1996–2021)
95% confidence interval
-0.74 to -0.14
Correlation with the time trend removed
+0.33

Sources

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