```xml <result> <column_name>Dystopia Residual</column_name> <family>additive</family> <subtype>intensive_additive</subtype> <confidence>0.85</confidence> <requires_user_confirmation>false</requires_user_confirmation> <sum_meaningful>false</sum_meaningful> <signed>false</signed> <reducers> <primary_reducer>mean</primary_reducer> <valid_reducers>mean, min, max, median, distribution</valid_reducers> <excluded_reducers>sum (summing a residual/level is meaningless), product (not a ratio)</excluded_reducers> <average_semantics>arithmetic_mean</average_semantics> </reducers> <inner_outer_measure> <inner_measure_reducer>min</inner_measure_reducer> <outer_measure_reducer>max</outer_measure_reducer> </inner_outer_measure> <multiplicative_partner_derivable>false</multiplicative_partner_derivable> <reasoning> Gate prior: DIMENSION table with no sequence axis makes multiplicative highly implausible. The column name "Dystopia Residual" indicates a residual/error term from a regression model - a level or intensity measure, not an extensive quantity. Center of mass (mean=2.33, median=2.29, range 0.82-3.84) is bounded and centered away from both 0 and 1, consistent with an intensive level. No zeros, strictly positive, but not centered near 1.0 (center_near_one=false, range_bounded_near_one=false), ruling out ratio_multiplicative. Negative log_symmetry_gain confirms this is not a multiplicative ratio. Classification: intensive_additive with mean as the natural rollup. </reasoning> <table_type_conflict>false</table_type_conflict> </result> ```