Summary – Decision Tree Regression

Step 1: Prepare our Data

  • Organize our data as a table: features → target value
  • Features can be numeric (e.g., area) or categorical (e.g., location)
  • Target must be a continuous numeric value (e.g., price, rent)

Step 2: Choose a Splitting Criterion

  • For every feature:
    • Try possible split points (e.g., area > 1200)
    • Divide the data into left/right groups
  • Calculate the total squared error after the split:

    Error=∑(actual−predicted)2

Step 3: Find the Best Split

  • Choose the feature and value that minimizes total error
  • This becomes a decision node

Step 4: Recursively Split the Data

  • Apply the same logic to each child node (left/right)
  • Keep splitting until:
    • Maximum depth reached, or
    • Number of samples is small, or
    • Target values are similar (node is “pure”)

Step 5: Assign Prediction at Leaf Nodes

  • For each leaf (end of a branch):
    • Set the prediction as the mean of target values in that group

Step 6: Make Predictions

    For any new input:

    • Start at the root
    • Traverse the tree based on feature comparisons
    • Reach a leaf, return the prediction stored there

Optional Enhancements

  • Add pruning to prevent overfitting
  • Use categorical feature encoding
  • Combine with Random Forest for ensemble learning

Decision Tree Regression – Visual Roadmap