CorrelateAI › Pairs
US Military Expenditure vs US Resident Patent Applications
US Military Expenditure and US Resident Patent Applications correlate at r = -0.67 over 42 years (1980–2021), p < 0.0001. With the time trend removed, r = +0.21. Likely spurious (shared time trend).
Verdict: Likely spurious (shared time trend). Both series mostly just trend over time. After removing that trend the correlation collapses to 0.21 — the relationship is probably coincidental, not causal.
- Pearson r
- -0.67
- p-value
- < 0.0001
- Years compared (n)
- 42 (1980–2021)
- 95% confidence interval
- -0.81 to -0.47
- Correlation with the time trend removed
- +0.21
Sources
- US Military Expenditure (% of GDP): World Bank. US Military Expenditure (World Bank indicator MS.MIL.XPND.GD.ZS).
- US Resident Patent Applications (applications): World Bank. US Resident Patent Applications (World Bank indicator IP.PAT.RESD).
Related pairs
- US Mobile Subscriptions vs US Resident Patent Applications (r = +0.99)
- US Adult Obesity vs US Resident Patent Applications (r = +0.98)
- US Resident Patent Applications vs US Population (r = +0.98)
- Atmospheric CO₂ (Mauna Loa) vs US Resident Patent Applications (r = +0.97)
- US GDP per Capita vs US Resident Patent Applications (r = +0.97)
- US GDP (current US$) vs US Resident Patent Applications (r = +0.97)
Correlation does not imply causation. How the verdict is worked out.