King County unsheltered rate vs. rent-predicted rate, all large CoCs
Question: How far is King County's unsheltered rate per 10,000 above or below the rate predicted from its median rent?
Result: 2015: +8.08 (95% PI -8.94 to 25.09); 2016: +13.85 (95% PI 1.18 to 26.51); 2017: +13.25 (95% PI -3.93 to 30.43); 2018: +19.18 (95% PI 5.91 to 32.44); 2019: +7.52 (95% PI -13.01 to 28.04); 2022: +17.48 (95% PI -7.38 to 42.33); 2024: +25.96 (95% PI 0.7 to 51.22)
Operation: Leave-one-out OLS of homelessness rate on median gross rent; King County residual with 95% prediction interval
Scope: All full-count CoCs, King excluded
| Estimate | Value | Uncertainty | Method | n |
|---|---|---|---|---|
| 2015 King County unsheltered rate minus rent-predicted rate | 8.08 ± 8.52 per 10,000 residents (95% CI -8.94 to 25.09) | ± one standard error; 95% confidence interval | Leave-one-out OLS on median rent; 95% prediction interval | 66 |
| 2016 King County unsheltered rate minus rent-predicted rate | 13.85 ± 6.31 per 10,000 residents (95% CI 1.18 to 26.51) | ± one standard error; 95% confidence interval | Leave-one-out OLS on median rent; 95% prediction interval | 54 |
| 2017 King County unsheltered rate minus rent-predicted rate | 13.25 ± 8.6 per 10,000 residents (95% CI -3.93 to 30.43) | ± one standard error; 95% confidence interval | Leave-one-out OLS on median rent; 95% prediction interval | 66 |
| 2018 King County unsheltered rate minus rent-predicted rate | 19.18 ± 6.61 per 10,000 residents (95% CI 5.91 to 32.44) | ± one standard error; 95% confidence interval | Leave-one-out OLS on median rent; 95% prediction interval | 55 |
| 2019 King County unsheltered rate minus rent-predicted rate | 7.52 ± 10.27 per 10,000 residents (95% CI -13.01 to 28.04) | ± one standard error; 95% confidence interval | Leave-one-out OLS on median rent; 95% prediction interval | 66 |
| 2022 King County unsheltered rate minus rent-predicted rate | 17.48 ± 12.43 per 10,000 residents (95% CI -7.38 to 42.33) | ± one standard error; 95% confidence interval | Leave-one-out OLS on median rent; 95% prediction interval | 63 |
| 2024 King County unsheltered rate minus rent-predicted rate | 25.96 ± 12.62 per 10,000 residents (95% CI 0.7 to 51.22) | ± one standard error; 95% confidence interval | Leave-one-out OLS on median rent; 95% prediction interval | 59 |
- Rent alone explains little of the variation across large CoCs, so the prediction intervals are wide.
- King County switched to respondent-driven sampling in 2022; its 2022 and 2024 rates are not directly comparable with visual counts.
- Cross-sectional association within one year; not a causal estimate.
Robustness check for: King County total homelessness rate vs. rent-predicted rate, all large CoCs