Logistic Regression is primarily used for predicting which of the following?

Logistic regression is primarily used for predicting categories, particularly binary outcomes, such as yes/no or pass/fail scenarios. The model is designed to estimate the probability that a given input belongs to a particular category. It does this by applying the logistic function, which transforms the linear combination of the input features into a probability score that ranges between 0 and 1.

This probabilistic interpretation allows users to classify observations into distinct categories based on a threshold, commonly set at 0.5. If the predicted probability is greater than this threshold, the model predicts one category (e.g., "yes" or "pass"); if it's less, it predicts the other category (e.g., "no" or "fail").

The other options—predicting numeric values, analyzing relationships between variables, and determining parts of a whole—are not the primary use cases for logistic regression. Predicting numeric values typically involves regression techniques such as linear regression, while exploring relationships between variables may involve correlation analysis or other statistical methods. Determining parts of a whole is related to percentage calculations or compositional data analysis, which logistic regression does not specifically address. Therefore, the most accurate description of logistic regression's primary usage is indeed for predicting categorical outcomes.