Welcome to the Advanced Linear Models for Data Science Class 2: Statistical Linear Models. This class is an introduction to least squares from a linear algebraic and mathematical perspective. Before beginning the class make sure that you have the following:
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Advanced Statistics for Data Science SpecializationJohns Hopkins UniversityAbout this Course
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Advanced Level
Approx. 6 hours to complete
English
Subtitles: Arabic, French, Portuguese (European), Chinese (Simplified), Italian, Vietnamese, Korean, German, Russian, Turkish, English, Spanish
Shareable Certificate
Earn a Certificate upon completion
100% online
Start instantly and learn at your own schedule.
Course 4 of 4 in the
Flexible deadlines
Reset deadlines in accordance to your schedule.
Advanced Level
Approx. 6 hours to complete
English
Subtitles: Arabic, French, Portuguese (European), Chinese (Simplified), Italian, Vietnamese, Korean, German, Russian, Turkish, English, Spanish
Offered by
Johns Hopkins University
The mission of The Johns Hopkins University is to educate its students and cultivate their capacity for life-long learning, to foster independent and original research, and to bring the benefits of discovery to the world.
Syllabus - What you will learn from this course
2 hours to complete
Introduction and expected values
In this module, we cover the basics of the course as well as the prerequisites. We then cover the basics of expected values for multivariate vectors. We conclude with the moment properties of the ordinary least squares estimates.
2 hours to complete
7 videos (Total 38 min), 3 readings, 1 quiz
7 videos
Multivariate expected values, the basics4m
Expected values, matrix operations2m
Multivariate variances and covariances5m
Multivariate covariance and variance matrix operations5m
Expected values of quadratic forms3m
Expected value properties of least squares estimates13m
3 readings
Welcome to the class10m
Course textbook10m
Introduction to expected values10m
1 practice exercise
Expected Values30m
1 hour to complete
The multivariate normal distribution
In this module, we build up the multivariate and singular normal distribution by starting with iid normals.
1 hour to complete
4 videos (Total 31 min), 2 readings, 1 quiz
4 videos
The singular normal distribution7m
Normal likelihoods5m
Normal conditional distributions8m
2 readings
Introduction to the multivariate normal10m
A note on the last quiz question.10m
1 practice exercise
the multivariate normal20m
1 hour to complete
Distributional results
In this module, we build the basic distributional results that we see in multivariable regression.
1 hour to complete
8 videos (Total 60 min), 1 reading, 1 quiz
8 videos
Confidence intervals for regression coefficients6m
F distribution4m
Coding example7m
Prediction intervals11m
Coding example5m
Confidence ellipsoids7m
Coding example6m
1 reading
Distributional results10m
1 practice exercise
Distributional results20m
1 hour to complete
Residuals
In this module we will revisit residuals and consider their distributional results. We also consider the so-called PRESS residuals and show how they can be calculated without re-fitting the model.
1 hour to complete
4 videos (Total 32 min), 2 readings, 1 quiz
4 videos
Code demonstration3m
Leave one out residuals8m
Press residuals14m
2 readings
Residuals10m
Thanks for taking the course10m
1 practice exercise
Residuals30m
Reviews
TOP REVIEWS FROM ADVANCED LINEAR MODELS FOR DATA SCIENCE 2: STATISTICAL LINEAR MODELS
by SMApr 2, 2020
This is a great course from Johns Hopkins University . By taking this course, I improved my Data Management, Statistical Programming, and Statistics skills.
by SJAug 6, 2020
This course is very powerfull for statistical linear
by MLJan 30, 2017
Good course on applied linear statistical modeling.
About the Advanced Statistics for Data Science Specialization
Fundamental concepts in probability, statistics and linear models are primary building blocks for data science work. Learners aspiring to become biostatisticians and data scientists will benefit from the foundational knowledge being offered in this specialization. It will enable the learner to understand the behind-the-scenes mechanism of key modeling tools in data science, like least squares and linear regression.
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