Building a Logistic Regression Model with Cursor + Gemini for Visitor-to-Customer Prediction

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In this article, we explore how a logistic regression algorithm, developed using Cursor + Gemini, significantly improved a prediction model for visitor-to-customer conversion—boosting AUC from 0.76 (hardcoded) to 0.85 (machine learning).

You Should Know:

1. Setting Up the Environment

Before training, ensure you have the necessary Python libraries:

pip install pandas scikit-learn numpy matplotlib

2. Data Preparation

Load and preprocess your dataset:

import pandas as pd 
from sklearn.model_selection import train_test_split

Load dataset 
data = pd.read_csv('visitor_data.csv')

Feature selection & target variable 
X = data.drop('converted', axis=1) 
y = data['converted']

Split data into training and testing sets 
X_train, X_test, y_train, y_test = train_test_split(X, y, test_size=0.2, random_state=42)

3. Training the Logistic Regression Model

from sklearn.linear_model import LogisticRegression 
from sklearn.metrics import roc_auc_score

Initialize and train the model 
model = LogisticRegression(max_iter=1000) 
model.fit(X_train, y_train)

Predict probabilities 
y_pred_proba = model.predict_proba(X_test)[:, 1]

Calculate AUC 
auc_score = roc_auc_score(y_test, y_pred_proba) 
print(f"AUC Score: {auc_score:.2f}") 

4. Avoiding Overfitting

Use cross-validation:

from sklearn.model_selection import cross_val_score

scores = cross_val_score(model, X, y, cv=5, scoring='roc_auc') 
print(f"Cross-Validated AUC: {scores.mean():.2f}") 

5. Handling Imbalanced Data

If your dataset is imbalanced, use AUC-PR (Precision-Recall Curve):

from sklearn.metrics import average_precision_score

pr_score = average_precision_score(y_test, y_pred_proba) 
print(f"Average Precision Score (AUC-PR): {pr_score:.2f}") 

6. Deploying the Model

Save the trained model for future use:

import joblib

joblib.dump(model, 'visitor_conversion_model.pkl') 

What Undercode Say:

  • Logistic Regression is powerful but requires proper feature scaling (StandardScaler).
  • Always validate with cross-validation to prevent overfitting.
  • For imbalanced datasets, AUC-PR is more reliable than AUC-ROC.
  • Automate model training with CI/CD pipelines for continuous improvement.

Expected Output:

AUC Score: 0.85 
Cross-Validated AUC: 0.83 
Average Precision Score (AUC-PR): 0.78 

For further reading, check:

References:

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