King County total rate vs. rent-predicted rate, HUD Major City CoCs only
Question: Same as king-total-vs-rent, comparing only with HUD Major City CoCs.
Result: 2015: +1.93 (95% PI -45.25 to 49.1); 2016: -8.11 (95% PI -57.39 to 41.17); 2017: +6.23 (95% PI -38.39 to 50.86); 2018: -7.5 (95% PI -50.63 to 35.62); 2019: -2.63 (95% PI -43.38 to 38.12); 2022: +9.38 (95% PI -27.93 to 46.68); 2024: +14.24 (95% PI -47.74 to 76.21)
Operation: Leave-one-out OLS of homelessness rate on median gross rent; King County residual with 95% prediction interval
Scope: HUD 2025 Major City CoCs with full counts, King excluded
| Estimate | Value | Uncertainty | Method | n |
|---|---|---|---|---|
| 2015 King County total rate minus rent-predicted rate | 1.93 ± 23.34 per 10,000 residents (95% CI -45.25 to 49.1) | ± one standard error; 95% confidence interval | Leave-one-out OLS on median rent; 95% prediction interval | 42 |
| 2016 King County total rate minus rent-predicted rate | -8.11 ± 24.19 per 10,000 residents (95% CI -57.39 to 41.17) | ± one standard error; 95% confidence interval | Leave-one-out OLS on median rent; 95% prediction interval | 34 |
| 2017 King County total rate minus rent-predicted rate | 6.23 ± 22.08 per 10,000 residents (95% CI -38.39 to 50.86) | ± one standard error; 95% confidence interval | Leave-one-out OLS on median rent; 95% prediction interval | 42 |
| 2018 King County total rate minus rent-predicted rate | -7.5 ± 21.17 per 10,000 residents (95% CI -50.63 to 35.62) | ± one standard error; 95% confidence interval | Leave-one-out OLS on median rent; 95% prediction interval | 34 |
| 2019 King County total rate minus rent-predicted rate | -2.63 ± 20.16 per 10,000 residents (95% CI -43.38 to 38.12) | ± one standard error; 95% confidence interval | Leave-one-out OLS on median rent; 95% prediction interval | 42 |
| 2022 King County total rate minus rent-predicted rate | 9.38 ± 18.41 per 10,000 residents (95% CI -27.93 to 46.68) | ± one standard error; 95% confidence interval | Leave-one-out OLS on median rent; 95% prediction interval | 39 |
| 2024 King County total rate minus rent-predicted rate | 14.24 ± 30.53 per 10,000 residents (95% CI -47.74 to 76.21) | ± one standard error; 95% confidence interval | Leave-one-out OLS on median rent; 95% prediction interval | 37 |
- 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