Dr. Sharmila Sharad More discusses regression analysis using Python. Regression analysis seeks relationships between variables, such as how employee salaries relate to experience, education, role, and city. Logistic regression specifically is used for binary classification problems to predict whether an event occurs or not based on independent variables. Examples include predicting email spam, fraudulent transactions, and whether tumors are malignant or benign. Logistic regression calculates the probability of a binary event and deals with classification issues.