Class Fundamentals of Statistics for Data Science

This subject is devoted to fundamental concepts in the theory of probability, statistics and statistical inference

Not applicable

1. Descriptive Statistics Types of data: integers, continuous, categorical, arrays, matrices Frequency tables Measures of central tendency and variability Visualization   2. Linear Regression Independent vs. dependent variables. Scatter plots Covariance and Pearson coefficient Regression line, residuals, least squares method Calculating the estimate for the response given a certain value for the independent variable   3. Probability Random experiment. Sample space. Event. Operations between events Properties of the probability function. Probability of the union of events Law of total probability Bayes' theorem Conditional probability. Independent events   4. Statistical Inference Sample and random sample Estimator and estimate for a proportion Hypothesis test for a proportion

In class, the ideas that underpin the program of this Curricular Unit (CU) are discussed, and multiple examples and application exercises are analyzed.   For each topic of this CU, a set of application exercises is presented. Students are encouraged to solve these exercises and to present any doubts they may have.   This CU will share content and support material with another CU (Introduction to Data Science).   All support material and relevant information will be shared with the students through Moodle.   The evaluation has a continuous component, which consists of 2 tests (35% each) and an assignment in R/RStudio (30%) that will be done in groups of between 2 and 3 elements.   Students who obtain a final grade greater than or equal to 10 points are considered approved.

Morais, M. C. (2020): Probabilidades e Estatística: Teoria, Exemplos e Exercícios. IST Press (Coleção Ensino da Ciência e da Tecnologia). Murteira, B., Ribeiro, C.S., Andrade e Silva, J., e Pimenta C. (2010): Introdução à Estatística. Escolar Editora. Murteira, B. (1993): Análise Exploratória de Dados - Estatística Descritiva. McGraw-Hill.