Mathematical Modeling of Social Media : Descriptive Statistics and Poisson Regression Analysis of Facebook Data

Social media platforms offer excellent opportunities for real life Mathematical modeling, Data science and Math education. We carried out detailed descriptive statistics and a Poisson regression analysis of Facebook data. We used cluster sampling to infer about the population. The five number summary and frequency distributions of friends ages and their number of Facebook posts were computed. We used the observed data to estimate the expectation or average value of the number of Facebook posts per week. We used Poisson distribution models to analyze the discrete probability distributions of the number of posts on Facebook. Alan Thuy is a freshmen student, currently studying Calculus I at Lake Washington Institute of Technology (LWIT). Alan is also a Math tutor at the MathLab at LWIT. Dr. Narayani Choudhury is a Math instructor at Lake Washington Institute of Technology. Email: Narayani.choudhury@lwtech.edu