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John Hopkins University - Advanced Linear Models for Data Science 2: Statistical Linear Models 

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Advanced Linear Models for Data Science 2: Statistical Linear Models
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Coursera 
Overview

Duration

6 hours

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Total fee

Free

Mode of learning

Online

Difficulty level

Advanced

Official Website

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Credential

Certificate

Advanced Linear Models for Data Science 2: Statistical Linear Models
 at 
Coursera 
Highlights

  • Earn a certificate from the university of Johns Hopkins upon completion of course.
  • Flexible deadlines according to your schedule.
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Advanced Linear Models for Data Science 2: Statistical Linear Models
 at 
Coursera 
Course details

More about this course
  • 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:
  • - 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.

Advanced Linear Models for Data Science 2: Statistical Linear Models
 at 
Coursera 
Curriculum

Introduction and expected values

Introductory video

Multivariate expected values, the basics

Expected values, matrix operations

Multivariate variances and covariances

Multivariate covariance and variance matrix operations

Expected values of quadratic forms

Expected value properties of least squares estimates

Welcome to the class

Course textbook

Introduction to expected values

Expected Values

The multivariate normal distribution

Normals and multivariate normals

The singular normal distribution

Normal likelihoods

Normal conditional distributions

Introduction to the multivariate normal

A note on the last quiz question.

the multivariate normal

Distributional results

Chi squared results for quadratic forms

Confidence intervals for regression coefficients

F distribution

Coding example

Prediction intervals

Coding example

Confidence ellipsoids

Coding example

Distributional results

Distributional results

Residuals

Residuals distributional results

Code demonstration

Leave one out residuals

Press residuals

Residuals

Thanks for taking the course

Residuals

Advanced Linear Models for Data Science 2: Statistical Linear Models
 at 
Coursera 
Admission Process

    Important Dates

    May 25, 2024
    Course Commencement Date

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    Advanced Linear Models for Data Science 2: Statistical Linear Models
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