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ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2020/ii/paper-1/13j/i/solution
Past exam of the mathematics course of the University of Cambridge 2020 ii Paper 1 13J i Solution by
Codex 0 Created 2026-09-24 Updated 2026-09-29
Kilometres is an ordinal categorical variable: its five levels have a meaningful order. Treating it as an ordinary factor would use four indicator variables and hence four unrelated regression coefficients. Converting the levels to numerical scores instead imposes a single linear trend across successive mileage bands. This is more parsimonious and gives greater precision when that trend is a reasonable approximation, although it also assumes that adjacent levels are equally spaced in their effect. New to topics? Read the docs here!