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US Resident Patent Applications vs US Population Aged 65+
US Resident Patent Applications and US Population Aged 65+ correlate at r = +0.77 over 42 years (1980–2021), p < 0.0001. With the time trend removed, r = -0.45. Direction flips without the trend.
Verdict: Direction flips without the trend. The raw correlation is 0.77, but once each series' time trend is removed it becomes -0.45. The year-to-year movements run the opposite way to the long-run trends, so the headline number is misleading.
- Pearson r
- +0.77
- p-value
- < 0.0001
- Years compared (n)
- 42 (1980–2021)
- 95% confidence interval
- 0.61 to 0.87
- Correlation with the time trend removed
- -0.45
Sources
- US Resident Patent Applications (applications): World Bank. US Resident Patent Applications (World Bank indicator IP.PAT.RESD).
- US Population Aged 65+ (% of total): World Bank. US Population Aged 65+ (World Bank indicator SP.POP.65UP.TO.ZS).
Related pairs
- US Mobile Subscriptions vs US Resident Patent Applications (r = +0.99)
- US Wind Power Generation vs US Population Aged 65+ (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.