Welcome to a deep dive into an intriguing aspect of data science - feature combinations! This lesson will bring you up to speed on the methods and principles behind creating, understanding, using, and validating feature combinations. By the end of this session, you'll be familiar with how they can enhance your Machine Learning model's performance.

What are feature combinations, you may ask? Imagine you're tasked with predicting the price of a house. You might have features like Number of Rooms and Square Footage. While they are useful features themselves, creating new ones by combining or transforming the existing ones could provide a more nuanced picture of your data. For example, creating a new feature, Area per Room, might capture more valuable information. Let's dive in deeper!

Before we start coding, it's important to understand the core principles of feature combinations. These involve aggregating two or more existing features to create a new one, usually through operations such as addition, subtraction, multiplication, or division. They enhance our data by generating new attributes or 'features' that extend our perspective on the data, potentially uncovering hidden patterns that improve our model's predictive accuracy.

However, you should be cautious about creating feature combinations without carefully considering your data and the problem at hand. Always ground your rationale in domain knowledge and the context of your data. Now that we've clarified the theory, let's put our knowledge into practice with some Python code!

Here is an example of feature combination that can be applicable to the UCI Abalone Dataset! Note that we separate out the numeric features so we can compute correlation.