It uses the Sigmoid function to map any real-valued number into a value between 0 and 1. The Math: It models the "log-odds" of the probability
ln(p1−p)=β0+β1x1+...+βnxnl n open paren the fraction with numerator p and denominator 1 minus p end-fraction close paren equals beta sub 0 plus beta sub 1 x sub 1 plus point point point plus beta sub n x sub n Usually, if the predicted probability is ≥0.5is greater than or equal to 0.5 , it’s classified as "1"; otherwise, it's "0." 2. Multinomial Logistic Regression Logistic Regression: Binary and Multinomial
Instead of one sigmoid function, it uses the Softmax function . It essentially runs multiple binary regressions comparing each category to a "reference" category. It uses the Sigmoid function to map any
This is used when your target variable has (e.g., predicting if a user will choose Product A, B, or C). If the categories have a natural ranking (like
The categories must be nominal (no inherent order). If the categories have a natural ranking (like "Low, Medium, High"), you should use Ordinal Logistic Regression instead.