| ID | Claim | Value | Verified |
|---|---|---|---|
| F4-001 | Adding a derived variable inflates R2 by 1.03x at sigma_x=8.56 | 1.026 | fails |
| F4-002 | Adding a derived variable inflates R2 by 141.42x at sigma_x=0.15 | 141.421 | holds |
| F4-003 | Adding a derived variable inflates R2 by 1.01x at sigma_x=17.19 | 1.006 | fails |
| F4-004 | Adding a derived variable inflates R2 by 1.14x at sigma_x=3.90 | 1.137 | fails |
| F4-005 | Adding a derived variable inflates R2 by 1.02x at sigma_x=10.29 | 1.018 | fails |
| F4-006 | Adding a derived variable inflates R2 by 1.13x at sigma_x=3.48 | 1.132 | fails |
| F4-007 | Adding a derived variable inflates R2 by 1.56x at sigma_x=1.95 | 1.556 | holds |
| F4-008 | Adding a derived variable inflates R2 by 7.69x at sigma_x=0.58 | 7.69 | holds |
| F4-009 | Adding a derived variable inflates R2 by 1.02x at sigma_x=9.72 | 1.02 | fails |
| F4-010 | Adding a derived variable inflates R2 by 1.02x at sigma_x=8.00 | 1.023 | fails |
| F4-011 | Adding a derived variable inflates R2 by 1.06x at sigma_x=5.16 | 1.061 | fails |
| F4-012 | Adding a derived variable inflates R2 by 3.41x at sigma_x=0.82 | 3.406 | holds |
| F4-013 | Adding a derived variable inflates R2 by 1.00x at sigma_x=18.89 | 1.004 | fails |
| F4-014 | Adding a derived variable inflates R2 by 112.65x at sigma_x=0.13 | 112.648 | holds |
| F4-015 | Adding a derived variable inflates R2 by 28.01x at sigma_x=0.33 | 28.011 | holds |
| F4-016 | Adding a derived variable inflates R2 by 1.37x at sigma_x=2.17 | 1.369 | fails |
| F4-017 | Adding a derived variable inflates R2 by 1.01x at sigma_x=11.24 | 1.013 | fails |
| F4-018 | Adding a derived variable inflates R2 by 1.05x at sigma_x=5.90 | 1.053 | fails |
| F4-019 | Adding a derived variable inflates R2 by 3.96x at sigma_x=0.89 | 3.959 | holds |
| F4-020 | Adding a derived variable inflates R2 by 1.01x at sigma_x=14.08 | 1.008 | fails |
| F4-021 | Adding a derived variable inflates R2 by 1.01x at sigma_x=14.13 | 1.008 | fails |
| F4-022 | Adding a derived variable inflates R2 by 1.02x at sigma_x=8.80 | 1.021 | fails |
| F4-023 | Adding a derived variable inflates R2 by 1.30x at sigma_x=2.45 | 1.303 | fails |
| F4-024 | Adding a derived variable inflates R2 by 18.74x at sigma_x=0.27 | 18.739 | holds |
| F4-025 | Adding a derived variable inflates R2 by 1829.13x at sigma_x=0.12 | 1829.125 | holds |
| F4-026 | Adding a derived variable inflates R2 by 1.03x at sigma_x=7.28 | 1.03 | fails |
| F4-027 | Adding a derived variable inflates R2 by 1.88x at sigma_x=1.51 | 1.879 | holds |
| F4-028 | Adding a derived variable inflates R2 by 3.67x at sigma_x=0.87 | 3.667 | holds |
| F4-029 | Adding a derived variable inflates R2 by 1.00x at sigma_x=30.13 | 1.002 | fails |
| F4-030 | Adding a derived variable inflates R2 by 7.01x at sigma_x=0.65 | 7.009 | holds |
| F4-031 | Adding a derived variable inflates R2 by 1.01x at sigma_x=13.29 | 1.009 | fails |
| F4-032 | Adding a derived variable inflates R2 by 2.02x at sigma_x=1.50 | 2.017 | holds |
| F4-033 | Adding a derived variable inflates R2 by 7.17x at sigma_x=0.66 | 7.171 | holds |
| F4-034 | Adding a derived variable inflates R2 by 1.27x at sigma_x=2.58 | 1.267 | fails |
| F4-035 | Adding a derived variable inflates R2 by 1.00x at sigma_x=26.54 | 1.002 | fails |
| F4-036 | Adding a derived variable inflates R2 by 1.01x at sigma_x=17.20 | 1.006 | fails |
| F4-037 | Adding a derived variable inflates R2 by 151.18x at sigma_x=0.15 | 151.181 | holds |
| F4-038 | Adding a derived variable inflates R2 by 139.10x at sigma_x=0.15 | 139.1 | holds |
| F4-039 | Adding a derived variable inflates R2 by 1.24x at sigma_x=2.92 | 1.238 | fails |
| F4-040 | Adding a derived variable inflates R2 by 1.92x at sigma_x=1.53 | 1.92 | holds |
| F4-041 | Adding a derived variable inflates R2 by 1.14x at sigma_x=3.55 | 1.138 | fails |
| F4-042 | Adding a derived variable inflates R2 by 9.41x at sigma_x=0.49 | 9.406 | holds |
| F4-043 | Adding a derived variable inflates R2 by 16.27x at sigma_x=0.43 | 16.274 | holds |
| F4-044 | Adding a derived variable inflates R2 by 1.01x at sigma_x=11.06 | 1.015 | fails |
| F4-045 | Adding a derived variable inflates R2 by 5.20x at sigma_x=0.74 | 5.196 | holds |
| F4-046 | Adding a derived variable inflates R2 by 2.65x at sigma_x=1.16 | 2.652 | holds |
| F4-047 | Adding a derived variable inflates R2 by 65.30x at sigma_x=0.12 | 65.297 | holds |
| F4-048 | Adding a derived variable inflates R2 by 1.27x at sigma_x=2.62 | 1.267 | fails |
| F4-049 | Adding a derived variable inflates R2 by 1.07x at sigma_x=4.92 | 1.072 | fails |
| F4-050 | Adding a derived variable inflates R2 by 54.82x at sigma_x=0.30 | 54.816 | holds |
| F4-051 | Adding a derived variable inflates R2 by 1.01x at sigma_x=17.73 | 1.006 | fails |
| F4-052 | Adding a derived variable inflates R2 by 1.00x at sigma_x=31.00 | 1.002 | fails |
| F4-053 | Adding a derived variable inflates R2 by 87.62x at sigma_x=0.13 | 87.616 | holds |
| F4-054 | Adding a derived variable inflates R2 by 40.31x at sigma_x=0.24 | 40.312 | holds |
| F4-055 | Adding a derived variable inflates R2 by 23.20x at sigma_x=0.46 | 23.198 | holds |
| F4-056 | Adding a derived variable inflates R2 by 2.08x at sigma_x=1.45 | 2.077 | holds |
| F4-057 | Adding a derived variable inflates R2 by 9.13x at sigma_x=0.40 | 9.133 | holds |
| F4-058 | Adding a derived variable inflates R2 by 1.29x at sigma_x=2.35 | 1.292 | fails |
| F4-059 | Adding a derived variable inflates R2 by 1.16x at sigma_x=3.28 | 1.159 | fails |
| F4-060 | Adding a derived variable inflates R2 by 191.97x at sigma_x=0.15 | 191.974 | holds |
| F4-061 | Adding a derived variable inflates R2 by 1.01x at sigma_x=13.96 | 1.008 | fails |
| F4-062 | Adding a derived variable inflates R2 by 2.29x at sigma_x=1.18 | 2.293 | holds |
| F4-063 | Adding a derived variable inflates R2 by 2.73x at sigma_x=1.10 | 2.73 | holds |
| F4-064 | Adding a derived variable inflates R2 by 1.03x at sigma_x=7.25 | 1.03 | fails |
| F4-065 | Adding a derived variable inflates R2 by 1.78x at sigma_x=1.43 | 1.784 | holds |
| F4-066 | Adding a derived variable inflates R2 by 1.19x at sigma_x=2.82 | 1.195 | fails |
| F4-067 | Adding a derived variable inflates R2 by 1.02x at sigma_x=8.76 | 1.025 | fails |
| F4-068 | Adding a derived variable inflates R2 by 1.44x at sigma_x=2.01 | 1.436 | fails |
| F4-069 | Adding a derived variable inflates R2 by 10.24x at sigma_x=0.43 | 10.241 | holds |
| F4-070 | Adding a derived variable inflates R2 by 42.84x at sigma_x=0.29 | 42.838 | holds |
| F4-071 | Adding a derived variable inflates R2 by 1.00x at sigma_x=29.35 | 1.002 | fails |
| F4-072 | Adding a derived variable inflates R2 by 23.07x at sigma_x=0.30 | 23.067 | holds |
| F4-073 | Adding a derived variable inflates R2 by 1.34x at sigma_x=2.17 | 1.34 | fails |
| F4-074 | Adding a derived variable inflates R2 by 2.26x at sigma_x=1.24 | 2.258 | holds |
| F4-075 | Adding a derived variable inflates R2 by 1.00x at sigma_x=27.98 | 1.002 | fails |
| F4-076 | Adding a derived variable inflates R2 by 17.94x at sigma_x=0.42 | 17.936 | holds |
| F4-077 | Adding a derived variable inflates R2 by 93.01x at sigma_x=0.25 | 93.007 | holds |
| F4-078 | Adding a derived variable inflates R2 by 1.82x at sigma_x=1.52 | 1.816 | holds |
| F4-079 | Adding a derived variable inflates R2 by 1.01x at sigma_x=18.37 | 1.006 | fails |
| F4-080 | Adding a derived variable inflates R2 by 1.01x at sigma_x=13.74 | 1.009 | fails |
| F4-081 | Adding a derived variable inflates R2 by 11.87x at sigma_x=0.43 | 11.869 | holds |
| F4-082 | Adding a derived variable inflates R2 by 1.01x at sigma_x=15.91 | 1.008 | fails |
| F4-083 | Adding a derived variable inflates R2 by 1.01x at sigma_x=14.21 | 1.008 | fails |
| F4-084 | Adding a derived variable inflates R2 by 1.03x at sigma_x=7.35 | 1.035 | fails |
| F4-085 | Adding a derived variable inflates R2 by 2147.09x at sigma_x=0.12 | 2147.09 | holds |
| F4-086 | Adding a derived variable inflates R2 by 5.32x at sigma_x=0.68 | 5.322 | holds |
| F4-087 | Adding a derived variable inflates R2 by 1.02x at sigma_x=9.59 | 1.019 | fails |
| F4-088 | Adding a derived variable inflates R2 by 7.73x at sigma_x=0.52 | 7.729 | holds |
| F4-089 | Adding a derived variable inflates R2 by 33.43x at sigma_x=0.33 | 33.432 | holds |
| F4-090 | Adding a derived variable inflates R2 by 1.01x at sigma_x=14.66 | 1.009 | fails |
| F4-091 | Adding a derived variable inflates R2 by 1.01x at sigma_x=13.17 | 1.011 | fails |
| F4-092 | Adding a derived variable inflates R2 by 75.64x at sigma_x=0.34 | 75.636 | holds |
| F4-093 | Adding a derived variable inflates R2 by 50.27x at sigma_x=0.20 | 50.272 | holds |
| F4-094 | Adding a derived variable inflates R2 by 1.19x at sigma_x=3.01 | 1.186 | fails |
| F4-095 | Adding a derived variable inflates R2 by 1.04x at sigma_x=6.91 | 1.036 | fails |
| F4-096 | Adding a derived variable inflates R2 by 1.01x at sigma_x=13.10 | 1.011 | fails |
| F4-097 | Adding a derived variable inflates R2 by 31.06x at sigma_x=0.26 | 31.058 | holds |
| F4-098 | Adding a derived variable inflates R2 by 2.21x at sigma_x=1.27 | 2.21 | holds |
| F4-099 | Adding a derived variable inflates R2 by 8.84x at sigma_x=0.59 | 8.842 | holds |
| F4-100 | Adding a derived variable inflates R2 by 138.38x at sigma_x=0.14 | 138.382 | holds |
A failing entry is not a defect in the code — it is a case where the stated inequality does not hold over the full range, which bounds the claim's domain of validity. Those cases are kept.
Incoprea Research · study 10, 1,000 verified claims · 3 November 2026. Computation only.