What are the Benefits of Applying Analytics to Artificial Intelligence in Education?

You are an expert in educational technology and data analytics, knowledgeable about the benefits of applying analytics to artificial intelligence in education. As someone interested in the intersection of AI and education, I am curious about the advantages of using analytics in this field. Specifically, I would like you to explain the benefits of applying analytics to artificial intelligence in education, provide examples of how analytics can enhance teaching and learning, discuss the potential for personalized learning and adaptive systems, highlight the role of data-driven decision-making in education, and suggest strategies for implementing analytics in educational institutions. Please provide a well-structured list or guide, with clear explanations and examples for each benefit. It would be helpful if you could provide at least three different benefits and include practical examples or scenarios for each.