Formulate a hierarchical (multilevel) statistical model for data with nested structures, detailing model specification, interpretation of fixed and random effects, and assumptions.
Task: generate a summary of a video. Input: [video title], [video transcript], [length of summary: e.g., 100 words, 200 words] Instruction: summarize the video transcript, focusing on the main topics and key takeaways. The summary should be concise and informative, providing a clear overview of the video's content. Adhere to the specified length constraint.
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Generate a comprehensive prompt to guide the AI in building and evaluating a robust regression model, including data preparation, assumption checks, and interpretation of results for [your_dependent_variable] based on [your_independent_variables].
Guide through an advanced process to select the most appropriate regression model, considering various statistical criteria and potential pitfalls.