Is this statement correct for formal usage?
This model is a good approximation to the data.
Or, should I use
This model is a good approximation of the data.
English Language Learners Stack Exchange is a question and answer site for speakers of other languages learning English. It only takes a minute to sign up.Sign up to join this community
It appears "approximation of" would be best suited for numbers (mathematical approximation) and "approximation to" best for conceptual approximations.
approximation noun [ C, usually singular ] UK /əˌprɒksɪˈmeɪʃən/ US
a figure that is close to a particular number or time but not exactly that number or time:
Sales-tax receipts provide **an approximation of** retail sales.
something that is similar to another thing but not exactly the same:
**approximation to sth** A closer **approximation to** the truth is that he started out as a genuine entrepreneur.