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US Resident Patent Applications vs US Urban Population
US Resident Patent Applications and US Urban Population correlate at r = +0.93 over 42 years (1980–2021), p < 0.0001. With the time trend removed, r = +0.29. 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 0.29 — the relationship is probably coincidental, not causal.
- Pearson r
- +0.93
- p-value
- < 0.0001
- Years compared (n)
- 42 (1980–2021)
- 95% confidence interval
- 0.88 to 0.96
- Correlation with the time trend removed
- +0.29
Sources
- US Resident Patent Applications (applications): World Bank. US Resident Patent Applications (World Bank indicator IP.PAT.RESD).
- US Urban Population (% of total): World Bank. US Urban Population (World Bank indicator SP.URB.TOTL.IN.ZS).
Related pairs
- US Rural Population vs US Urban Population (r = -1.00)
- 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)
Correlation does not imply causation. How the verdict is worked out.