Where does “sociolinguistics” come from?

I need to work through this chain carefully, but I notice some issues with the provided chain that make it difficult to construct an accurate etymology for "sociolinguistics." The chain provided appears incomplete or corrupted—it includes repeated entries (Proto-Indo-European dn̥ǵʰwéh₂s appears twice), and the connection between these roots and "sociolinguistics" is unclear. The chain seems to trace "linguist" but doesn't properly account for the "socio-" element, and the PIE roots listed don't clearly connect to standard etymologies for "language" or "tongue." Without a reliable, complete chain showing how "socio-" + "linguistics" derives through the languages, I cannot write an accurate one-sentence summary that names every language in order and maintains historical integrity. Could you verify the etymology chain? A proper chain for "sociolinguistics" should trace: - English

sociolinguistics (English): The study of social and cultural effects on...

Definitions

  1. The study of social and cultural effects on...

Ancestry of “sociolinguistics”, step by step

StepLanguageWordMeaning
1EnglishlinguisticsThe scientific study of language
2English-icsForms nouns referring to fields of knowledge or...
3English-icUsed to form adjectives from nouns with the...
4EnglishimageAn optical or other representation of a real...
5Frenchimagepicture, image; frame; first-person singular...
6Portugueseimagemimage; picture; figure; image; image; face
7Spanishimagenimage
8Italianimmagineimage; imago
9Latinimāginem
10Latinim-Alternative form of in-; form of "in"; in
11Latinīn-un-, non-, not
12Latinînin, at, on, upon, from (space)
13Latinenlookǃ beholdǃ; reallyǃ?; come onǃ
14Proto-Italicenin
15Proto-Indo-Europeanh₁énin

Words derived from “sociolinguistics

Every word from Proto-Indo-European h₁énEvery word from Latin īn-Every word from Proto-Italic en