Logistic regression
Unveiling the Mechanics of Logistic Regression Building upon the foundations of linear regression, we delve into the mechanics and mathematical underpinnings of Logistic regression. The underlying concept of logistic regression revolves around capturing the probabilistic relationship between input features and the binary output. This relationship is elegantly established through the logistic or sigmoid function, which smoothly maps the input space to a range between 0 and 1. This function allows us to interpret the output as the probability of belonging to a particular class. Imagine, a scenario where we are presented with a set of input features, such as the age and income of individuals, and our goal is to predict whether they are likely to purchase a particular product. Logistic regression steps up to the challenge by estimating the parameters—weights and biases—that maximize the likelihood of the observed data given the model's predictions. To get the optimal ...