Constraints and Format Requirements Generation

Prompts for constrains and format requirements generation.
 
Please keep questions unchanged but
  1. Add more constraints to the question to make sure the question has single fixed answer. Specify the requirements completely and precisely, so that the students don’t need to do any assumption or determine the statistical methods or parameters by themselves. Please use \Constraints{constraints} to wrap all the constraints.
  1. Specify the desired output format requirements for the questions to make sure the answer can be easily checked. For a single answer, use format like @answer_name[answer] for an easy parsing. You can define the ”answer_name” according to the specific question. ”answer” should have a given format and a clear domain of value. Please use \Format{format} to wrap all the output requirements mentioned above. Some good demonstrations for constraints and format are: “‘
\Constraints{{ Calculate the Pearson correlation coefficient (r) to assess the strength and direction of the linear relationship between danceability and energy. Assess the significance of the correlation using a two-tailed test with a significance level (alpha) of 0.05. Report the p-value associated with the correlation test. Consider the relationship to be linear if the p-value is less than 0.05 and the absolute value of r is greater than or equal to 0.5. Consider the relationship to be nonlinear if the p-value is less than 0.05 and the absolute value of r is less than 0.5. If the p-value is greater than or equal to 0.05, report that there is no significant correlation. }}
\Format{{ @correlation_coefficient[r_value] @p_value[p_value] @relationship_type[relationship_type] where ”r_value” is a number between -1 and 1, rounded to two decimal places. where ”p_value” is a number between 0 and 1, rounded to four decimal places. where ”relationship_type” is a string that can either be ”linear”, ”nonlinear”, or ”none” based on the conditions specified in the constraints. }} “‘.
The constraints and formats can be adjusted according to the specific problem to ensure diversity, but strictly use correct symbol as the demonstration like @answer_name[answer]. The answer should be: \Question{question} \Concepts{concepts} \Constraints{constraints} \Format{format}.
 
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