Title: Puzzle game: Prediction and Classification of Wordle Solution Words

Abstract: In MCM/ICM 2023, we proposed a new result prediction model for the popular game Wordle launched by The New York Times. We first preprocessed the raw data and then established a prediction model based on ARIMA to predict the number of report results as of March 1, 2023. We selected word usage frequency, word information entropy, and the number of repeated letters contained in the word as the attributes of the word, and conducted a correlation analysis between these three attributes and the percentage of seven attempts. We also established a regression model based on the XGBoost algorithm, predicted the distribution of reported results, and predicted the correlation percentage of "EERIE". In addition, we also constructed a word classification model that classified words into "simple", "moderate", and "difficult", and explored the relationship between the three attributes and the classification results. Finally, we calculated the percentage of players in the dataset who needed 3 or more attempts for each word. The appendix provides relevant information and problems to be solved for the mathematical modeling competition.