What types of data connections can Power BI establish?

Power BI can establish various types of data connections to cater to different reporting and data analysis needs, and the listed types of connections in the correct answer encompass the main methodologies used in Power BI.

DirectQuery allows users to connect directly to the data source in real-time, making it possible to query large datasets without importing all the data into Power BI. This is particularly useful for scenarios where live data is essential and recent updates are critical for decision-making.

The Import method enables users to load data into Power BI from various sources, creating a version of the data that is stored within Power BI itself. This approach is beneficial when the datasets are manageable in size and do not require real-time information, allowing for faster performance when querying compared to DirectQuery.

Live Connection is utilized primarily with services like SQL Server Analysis Services (SSAS). In this mode, the analysis is performed directly on the data source without importing the data into Power BI, ensuring that users are always working with the latest data while also leveraging the capabilities of the analysis services for complex calculations and measures.

The other options refer to categories or types of connections that are either too broad or not specific to Power BI's capabilities. For example, data warehousing and cloud connection is a broader categorization