Informações sobre o curso
4.4
80 ratings
20 reviews
Welcome to the Advanced Linear Models for Data Science Class 1: Least Squares. 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: - A basic understanding of linear algebra and multivariate calculus. - A basic understanding of statistics and regression models. - At least a little familiarity with proof based mathematics. - Basic knowledge of the R programming language. After taking this course, students will have a firm foundation in a linear algebraic treatment of regression modeling. This will greatly augment applied data scientists' general understanding of regression models....
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Advanced Level

Nível avançado

Clock

Sugerido: 6 weeks of study, 1-2 hours/week

Aprox. 10 horas restantes
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English

Legendas: English

Habilidades que você terá

StatisticsLinear RegressionR ProgrammingLinear Algebra
Globe

cursos 100% online

Comece imediatamente e aprenda em seu próprio cronograma.
Calendar

Prazos flexíveis

Redefinir os prazos de acordo com sua programação.
Advanced Level

Nível avançado

Clock

Sugerido: 6 weeks of study, 1-2 hours/week

Aprox. 10 horas restantes
Comment Dots

English

Legendas: English

Programa - O que você aprenderá com este curso

1

Seção
Clock
1 hora para concluir

Background

We cover some basic matrix algebra results that we will need throughout the class. This includes some basic vector derivatives. In addition, we cover some some basic uses of matrices to create summary statistics from data. This includes calculating and subtracting means from observations (centering) as well as calculating the variance. ...
Reading
7 vídeos (Total de 28 min), 4 leituras, 1 teste
Video7 videos
Matrix derivatives5min
Coding example2min
Centering by matrix multiplication6min
Coding example2min
Variance via matrix multiplication6min
Coding example2min
Reading4 leituras
Welcome to the class10min
Course textbook10min
Grading10min
In this module10min
Quiz1 exercício prático
Background Quiz12min

2

Seção
Clock
1 hora para concluir

One and two parameter regression

In this module, we cover the basics of regression through the origin and linear regression. Regression through the origin is an interesting case, as one can build up all of multivariate regression with it....
Reading
6 vídeos (Total de 29 min), 2 leituras, 1 teste
Video6 videos
Centering first8min
Coding example1min
Connection with linear regression7min
Coding example1min
Fitted values and residuals4min
Reading2 leituras
Before you begin10min
Before you begin10min
Quiz1 exercício prático
One Parameter Regression Quiz10min

3

Seção
Clock
1 hora para concluir

Linear regression

In this lecture, we focus on linear regression, the most standard technique for investigating unconfounded linear relationships. ...
Reading
8 vídeos (Total de 23 min), 2 leituras, 1 teste
Video8 videos
Coding example1min
Prediction2min
Coding example2min
Residuals2min
Coding example1min
Generalizations6min
Generalizations example2min
Reading2 leituras
Before you begin10min
Generalizations10min
Quiz1 exercício prático
Linear Regression Quiz12min

4

Seção
Clock
1 hora para concluir

General least squares

We now move on to general least squares where an arbitrary full rank design matrix is fit to a vector outcome....
Reading
6 vídeos (Total de 39 min), 1 leitura, 1 teste
Video6 videos
Coding example3min
Second derivation of least squares4min
Projections9min
Third derivation of least squares12min
Coding example4min
Reading1 leituras
Before you begin10min
Quiz1 exercício prático
General Least Squares Quiz20min
4.4

Melhores avaliações

por DLJun 8th 2016

We need more advanced, theoretical courses on Coursera, like this one, in order to deeply understand the more general courses like Regression Models and Linear Models.

por SPApr 30th 2017

Good mathematical rigour for the analysis of linear models. Builds some good intuition for the geometry of least squares which helps in model result interpretation.

Instrutores

Brian Caffo, PhD

Professor, Biostatistics
Bloomberg School of Public Health

Sobre 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....

Perguntas Frequentes – FAQ

  • Once you enroll for a Certificate, you’ll have access to all videos, quizzes, and programming assignments (if applicable). Peer review assignments can only be submitted and reviewed once your session has begun. If you choose to explore the course without purchasing, you may not be able to access certain assignments.

  • When you purchase a Certificate you get access to all course materials, including graded assignments. Upon completing the course, your electronic Certificate will be added to your Accomplishments page - from there, you can print your Certificate or add it to your LinkedIn profile. If you only want to read and view the course content, you can audit the course for free.

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