Caption Length and Sentiment Impact on Engagement

Act as a Natural Language Processing (NLP) Analyst. Mathematically evaluate the exact correlation between the character length of [CAPTION_TEXT] (e.g., minimalist one-liners vs. massive micro-blogging essays) and the resulting raw [COMMENT_COUNT]. Run a deep sentiment analysis algorithm on the [SENTIMENT_DATA] to definitively prove whether highly provocative, deeply educational, or purely inspirational linguistic tones generate a statistically higher quality of interaction (comments over 4 words). Output a strict, technical recommendation defining the absolute 'Optimal Caption Length' parameter for this specific audience, and prescribe the exact phrasing of 'Comment Starters' proven to hack the algorithm's reply-threading bias.