Applied Data Science Coding with Python - Regression with CART Algorithm
Regression is a statistical method used to understand the relationship between a dependent variable and one or more independent variables. In other words, it is used to predict a continuous value based on certain inputs. One popular algorithm used for regression is called the Classification and Regression Trees (CART) algorithm.
The CART algorithm is a type of decision tree algorithm. A decision tree is a flowchart-like structure in which internal node represents feature(or attribute), the branch represents a decision rule, and each leaf node represents the outcome. The CART algorithm is used to build a decision tree for both classification and regression problems.
In the CART algorithm, the goal is to find the most important feature in the data set that can be used to make predictions about the dependent variable. The algorithm starts by selecting the feature that best separates the data into different groups. This feature is known as the root node of the decision tree. The data is then split into two groups based on the selected feature, with one group representing the observations where the feature has a certain value, and the other group representing the observations where the feature has a different value.
The process is then repeated for each group, selecting the feature that best separates the data within that group. This continues until a stopping criterion is met, such as a maximum tree depth or a minimum number of samples in a leaf node.
The CART algorithm can be implemented in Python using the scikit-learn library. The library provides a DecisionTreeRegressor class, which can be used to train a decision tree model on a given data set. The class provides a number of parameters that can be used to control the behavior of the algorithm, such as the maximum tree depth or the minimum number of samples in a leaf node.
Once the model is trained, it can be used to make predictions about the dependent variable for new observations. The model can also be used to understand the relationship between the dependent variable and the independent variables by examining the decision rules in the tree.
In summary, the CART algorithm is a powerful tool for regression problems. It builds a decision tree that can be used to predict a continuous value based on certain inputs. It is implemented in Python using the scikit-learn library which provides an easy-to-use interface for training and using the model. It is a powerful algorithm that can give a good insight on the relationship between the dependent variable and the independent variables.
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