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University of Pittsburgh

Probability Theory and Regression for Predictive Analytics

University of Pittsburgh via Coursera

Overview

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Transform your data science capabilities with the "Probability Theory and Regression for Predictive Analytics" course. This program is designed to provide essential mathematical and statistical skills necessary for predictive modeling and data analysis. Dive into probability concepts, including conditional probability, Bayes’ Theorem, and various probability distributions. Further, apply regression techniques to enhance your ability to predict and interpret data trends. Begin by understanding and calculating conditional probabilities and learning Bayes’ Theorem for probabilistic inference. Explore different probability distributions such as Bernoulli, Binomial, Geometric, Poisson, and Normal distributions, which are fundamental for modeling and analyzing data. Advance to ordinary least squares (OLS) regression, applying matrix transposition and probabilistic techniques to fit linear models to data. Gain a deeper understanding of regression analysis methodologies, from basics to advanced topics, including multicollinearity, interaction effects, Lasso regression, and logistic regression. Engage in practical assignments and real-world projects to apply probability theory and regression techniques, using Python as a powerful tool for statistics and predictive analytics. By the end of this course, you'll be equipped with a solid foundation to tackle advanced data science topics confidently.

Syllabus

  • Conditional Probabilities, Bayes' Theorem, and Probability Theory
    • This module will introduce basic concepts from probability theory.
  • Advanced Regression Analysis
    • This module covers essential concepts in regression analysis, from basics like covariance and correlation to advanced topics such as multicollinearity, interaction effects, Lasso regression, and logistic regression. It provides tools for interpreting, diagnosing, and improving regression models.

Taught by

Morgan Frank

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