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Last updated:

November 26, 2022

Duration:

Unlimited Duration

FREE

This course includes:

Unlimited Duration

Badge on Completion

Certificate of completion

Unlimited Duration

Description

This subject is a computer-oriented introduction to probability and data analysis.

It is designed to give students the knowledge and practical experience they need to interpret lab and field data. Basic probability concepts are introduced at the outset because they provide a systematic way to describe uncertainty. They form the basis for the analysis of quantitative data in science and engineering. The MATLAB® programming language is used to perform virtual experiments and to analyze real-world data sets, many downloaded from the web. Programming applications include display and assessment of data sets, investigation of hypotheses, and identification of possible casual relationships between variables. This is the first semester that two courses, Computing and Data Analysis for Environmental Applications (1.017) and Uncertainty in Engineering (1.010), are being jointly offered and taught as a single course.

Course Curriculum

  • Course Introduction Unlimited
  • Descriptive Statistics Unlimited
  • Probability Unlimited
  • Joint Probability, Independence, Repeated Trials Unlimited
  • Combinatorial Methods for Deriving Probabilities Unlimited
  • Conditional Probability and Baye’s Theorem Unlimited
  • Random Variables and Probability Distributions Unlimited
  • Expectation, Functions of a Random Variable Unlimited
  • Some Common Probability Distributions Unlimited
  • Multivariate Probability Unlimited
  • Populations and Samples Unlimited
  • Estimation Unlimited
  • Confidence Intervals Unlimited
  • Testing Hypotheses about a Single Population Unlimited
  • Testing Hypotheses about Two Populations Unlimited
  • Small Sample Statistics Unlimited
  • Analysis of Variance Unlimited
  • Analysis of Variance (contd.) Unlimited
  • Multifactor Analysis of Variance Unlimited
  • Linear Regression Unlimited
  • Analyzing Regression Results Unlimited

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Massachusetts Institute of Technology