```xml <result> <column_name>Region: Northeast</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 percentages across entities is meaningless), product (not a ratio measure)</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> DIMENSION table with no sequence axis strongly priors against multiplicative. The column contains percentage values (0.00% to 11.34%) representing regional distribution shares - these are intensive levels (proportions) at entity grain, not ratios that compound. Summing percentages across entities is meaningless (you cannot add "0.57% Northeast" + "1.09% Northeast"); the natural aggregation is mean to find average regional representation. High distinct fraction (97%) confirms these are entity-level attributes, not repeated ratio factors. Classified as intensive_additive with mean as primary reducer. </reasoning> <table_type_conflict>false</table_type_conflict> </result> ```