'Speculatively' definitions:

Definition of 'speculatively'

adverb

With speculation; in a speculative manner; "he looked at her speculatively"

From: GCIDE

Speculative \Spec"u*la*tive\ (sp[e^]k"[-u]*l[.a]*t[i^]v), a. [Cf. F. sp['e]culatif, L. speculativus.]
1. Given to speculation; contemplative. [1913 Webster]
The mind of man being by nature speculative. --Hooker. [1913 Webster]
2. Involving, or formed by, speculation; ideal; theoretical; not established by demonstration. --Cudworth. [1913 Webster]
3. Of or pertaining to vision; also, prying; inquisitive; curious. [R.] --Bacon. [1913 Webster]
4. Of or pertaining to speculation in land, goods, shares, etc.; as, a speculative dealer or enterprise. [1913 Webster]
The speculative merchant exercises no one regular, established, or well-known branch of business. --A. Smith. [1913 Webster]
5. (Finance) More risky than typical investments; not investment grade. [PJC] -- {Spec"u*la*tive*ly}, adv. -- {Spec"u*la*tive*ness}, n. [1913 Webster]