Class Statistics I

This course will familiarize students with the basics of statistical thinking, language, and techniques.
Students should be able to recognize the usefulness and wide application of these methodologies to various contexts, particularly in their subject areas.
It is intended that students develop data analysis capabilities as well as acquire fundamental knowledge of probability theory and random variables.
It is intended that students develop their thinking skills, helping them to address and solve real practical problems in their area of study or in other contexts.

Exploratory Data Analysis

• Introduction (sample, population).
• One-dimensional analysis
• Data Types
• Frequency distribution and its graphical representation
• Location measurements (mean, moda, median, quantiles)
• Dispersion measures (sample amplitude, interquartile dispersion, variance, standard deviation, coefficient of variation)
• Two-dimensional analysis
• Scatter diagram
• Coefficient of linear correlation
• Simple linear regression

Probability

• Algebra of Events
• Probability Concepts
• Kolmogorov's axiomatic and its consequences.
• Conditioned probability.
• Independent events.
• Total probability theorem and Bayes theorem.

Random variables

• One-dimensional random variables.
• Functions of a random variable.
• Parameters (location and dispersion).

To the applicable.

• Murteira, B., Ribeiro, C.S., Silva, J.A., Pimenta, F. e Pimenta, C.. Introdução à Estatística. Escolar Editora, 2015.
• Newbold, P., Carlson, W.L., Thorne, B.M.. Statistics for Business and Economics. Prentice-Hall, 8ª Edição, 2012. (ISBN: 978-0132745659)
• Proença, I.M.. Estatística. Euedito, 2010. (ISBN: 9789892021362)