課程信息
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....
Globe

100% 在線課程

立即開始,按照自己的計劃學習。
Calendar

可靈活調整截止日期

根據您的日程表重置截止日期。
Advanced Level

高級

Clock

建議:6 weeks of study, 1-2 hours/week

完成時間大約為10 小時
Comment Dots

English

字幕:English

您將獲得的技能

StatisticsLinear RegressionR ProgrammingLinear Algebra
Globe

100% 在線課程

立即開始,按照自己的計劃學習。
Calendar

可靈活調整截止日期

根據您的日程表重置截止日期。
Advanced Level

高級

Clock

建議:6 weeks of study, 1-2 hours/week

完成時間大約為10 小時
Comment Dots

English

字幕:English

教學大綱 - 您將從這門課程中學到什麼

1

章節
Clock
完成時間為 1 小時

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 個視頻(共 28 分鐘), 4 個閱讀材料, 1 個測驗
Video7 個視頻
Matrix derivatives5分鐘
Coding example2分鐘
Centering by matrix multiplication6分鐘
Coding example2分鐘
Variance via matrix multiplication6分鐘
Coding example2分鐘
Reading4 個閱讀材料
Welcome to the class10分鐘
Course textbook10分鐘
Grading10分鐘
In this module10分鐘
Quiz1 個練習
Background Quiz12分鐘

2

章節
Clock
完成時間為 1 小時

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 個視頻(共 29 分鐘), 2 個閱讀材料, 1 個測驗
Video6 個視頻
Centering first8分鐘
Coding example1分鐘
Connection with linear regression7分鐘
Coding example1分鐘
Fitted values and residuals4分鐘
Reading2 個閱讀材料
Before you begin10分鐘
Before you begin10分鐘
Quiz1 個練習
One Parameter Regression Quiz10分鐘

3

章節
Clock
完成時間為 1 小時

Linear regression

In this lecture, we focus on linear regression, the most standard technique for investigating unconfounded linear relationships. ...
Reading
8 個視頻(共 23 分鐘), 2 個閱讀材料, 1 個測驗
Video8 個視頻
Coding example1分鐘
Prediction2分鐘
Coding example2分鐘
Residuals2分鐘
Coding example1分鐘
Generalizations6分鐘
Generalizations example2分鐘
Reading2 個閱讀材料
Before you begin10分鐘
Generalizations10分鐘
Quiz1 個練習
Linear Regression Quiz12分鐘

4

章節
Clock
完成時間為 1 小時

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 個視頻(共 39 分鐘), 1 個閱讀材料, 1 個測驗
Video6 個視頻
Coding example3分鐘
Second derivation of least squares4分鐘
Projections9分鐘
Third derivation of least squares12分鐘
Coding example4分鐘
Reading1 個閱讀材料
Before you begin10分鐘
Quiz1 個練習
General Least Squares Quiz20分鐘
4.4

熱門審閱

創建者 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.

創建者 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.

講師

Brian Caffo, PhD

Professor, Biostatistics
Bloomberg School of Public Health

關於 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....

常見問題

  • 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.

還有其他問題嗎?請訪問 學生幫助中心