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Johns Hopkins - Advanced Linear Models for Data Science 1: Least Squares 

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Advanced Linear Models for Data Science 1: Least Squares
 at 
Coursera 
Overview

Duration

8 hours

Total fee

Free

Mode of learning

Online

Difficulty level

Advanced

Official Website

Explore Free Course External Link Icon

Credential

Certificate

Advanced Linear Models for Data Science 1: Least Squares
Table of content
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  • Overview
  • Highlights
  • Course Details
  • Curriculum

Advanced Linear Models for Data Science 1: Least Squares
 at 
Coursera 
Highlights

  • Earn a certificate from the university of Johns Hopkins upon completion of course.
  • Flexible deadlines according to your schedule.
Details Icon

Advanced Linear Models for Data Science 1: Least Squares
 at 
Coursera 
Course details

More about this course
  • 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.

Advanced Linear Models for Data Science 1: Least Squares
 at 
Coursera 
Curriculum

Background

Introduction

Matrix derivatives

Coding example

Centering by matrix multiplication

Coding example

Variance via matrix multiplication

Coding example

Welcome to the class

Course textbook

Grading

In this module

Background Quiz

One and two parameter regression

Regression through the origin

Centering first

Coding example

Connection with linear regression

Coding example

Fitted values and residuals

Before you begin

Before you begin

One Parameter Regression Quiz

Linear regression

Least squares

Coding example

Prediction

Coding example

Residuals

Coding example

Generalizations

Generalizations example

Before you begin

Generalizations

Linear Regression Quiz

General least squares

Least squares

Coding example

Second derivation of least squares

Projections

Third derivation of least squares

Coding example

Before you begin

General Least Squares Quiz

Least squares examples

Basic examples of design matrices and fits

Group effects

Change of parameterization

ANCOVA

Least Squares Examples Quiz

Bases and residuals

Bases, introduction

Bases 2, Fourier

Bases 3, SVDs

Bases, coding example

Introduction to residuals

Partitioning variability

Bases Quiz

Residuals Quiz

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Advanced Linear Models for Data Science 1: Least Squares
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