Deep Learning Prerequisites: Linear Regression in Python

Data science: Learn linear regression from scratch and build your own working program in Python for data analysis.
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  • Lectures 32
  • Length 3.5 hours
  • Skill Level All Levels
  • Languages English
  • Includes Lifetime access
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    Available on iOS and Android
    Certificate of Completion
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About This Course

Published 9/2015 English

Course Description

This course teaches you about one popular technique used in machine learning, data science and statistics: linear regression. We cover the theory from the ground up: derivation of the solution, and applications to real-world problems. We show you how one might code their own linear regression module in Python.

Linear regression is the simplest machine learning model you can learn, yet there is so much depth that you'll be returning to it for years to come. That's why it's a great introductory course if you're interested in taking your first steps in the fields of:

  • deep learning
  • machine learning
  • data science
  • statistics

In the first section, I will show you how to use 1-D linear regression to prove that Moore's Law is true.

What's that you say? Moore's Law is not linear?

You are correct! I will show you how linear regression can still be applied.

In the next section, we will extend 1-D linear regression to any-dimensional linear regression - in other words, how to create a machine learning model that can learn from multiple inputs.

We will apply multi-dimensional linear regression to predicting a patient's systolic blood pressure given their age and weight.

Finally, we will discuss some practical machine learning issues that you want to be mindful of when you perform data analysis, such as generalization, overfitting, train-test splits, and so on.

This course does not require any external materials. Everything needed (Python, and some Python libraries) can be obtained for FREE.

If you are a programmer and you want to enhance your coding abilities by learning about data science, then this course is for you. If you have a technical or mathematical background, and you want to know how to apply your skills as a software engineer or "hacker", this course may be useful.

This course focuses on "how to build and understand", not just "how to use". Anyone can learn to use an API in 15 minutes after reading some documentation. It's not about "remembering facts", it's about "seeing for yourself" via experimentation. It will teach you how to visualize what's happening in the model internally. If you want more than just a superficial look at machine learning models, this course is for you.


All the code for this course can be downloaded from my github: /lazyprogrammer/machine_learning_examples

In the directory: linear_regression_class

Make sure you always "git pull" so you have the latest version!


  • calculus
  • linear algebra
  • probability
  • Python coding: if/else, loops, lists, dicts, sets
  • Numpy coding: matrix and vector operations, loading a CSV file

TIPS (for getting through the course):

  • Watch it at 2x.
  • Ask lots of questions on the discussion board. The more the better!
  • Realize that most exercises will take you days or weeks to complete.


  • (The Numpy Stack in Python)
  • Linear Regression in Python
  • Logistic Regression in Python
  • (Supervised Machine Learning in Python)
  • (Bayesian Machine Learning in Python: A/B Testing)
  • Deep Learning in Python
  • Practical Deep Learning in Theano and TensorFlow
  • (Supervised Machine Learning in Python 2: Ensemble Methods)
  • Convolutional Neural Networks in Python
  • (Easy NLP)
  • (Cluster Analysis and Unsupervised Machine Learning)
  • Unsupervised Deep Learning
  • (Hidden Markov Models)
  • Recurrent Neural Networks in Python
  • Natural Language Processing with Deep Learning in Python

    What are the requirements?

    • How to take a derivative using calculus
    • Basic Python programming
    • For the advanced section of the course, you will need to know probability
    • For the advanced section of the course, you will need to know the Gaussian distribution

    What am I going to get from this course?

    • Derive and solve a linear regression model, and apply it appropriately to data science problems
    • Program your own version of a linear regression model in Python

    Who is the target audience?

    • People who are interested in data science, machine learning, statistics and artificial intelligence
    • People new to data science who would like an easy introduction to the topic
    • People who wish to advance their career by getting into one of technology's trending fields, data science
    • Self-taught programmers who want to improve their computer science theoretical skills
    • Analytics experts who want to learn the theoretical basis behind one of statistics' most-used algorithms

    What you get with this course?

    Not for you? No problem.
    30 day money back guarantee.

    Forever yours.
    Lifetime access.

    Learn on the go.
    Desktop, iOS and Android.

    Get rewarded.
    Certificate of completion.


    Section 1: Introduction and Outline
    Introduction and Outline

    We will discuss a broad outline of what machine learning is, and how linear regression fits into the ecosystem of machine learning. We will discuss some examples of linear regression to give you a feel for what it can be used for.

    Introduction to Moore's Law Problem
    What can linear regression be used for?
    1 question
    Section 2: 1-D Linear Regression: Theory and Code
    Define the model in 1-D, derive the solution (Updated Version)
    Define the model in 1-D, derive the solution
    Coding the 1-D solution in Python
    Determine how good the model is - r-squared
    R-squared in code
    Demonstrating Moore's Law in Code
    1 question
    Section 3: Multiple linear regression and polynomial regression
    Define the multi-dimensional problem and derive the solution (Updated Version)
    Define the multi-dimensional problem and derive the solution
    How to solve multiple linear regression using only matrices
    Coding the multi-dimensional solution in Python
    Polynomial regression - extending linear regression (with Python code)
    Predicting Systolic Blood Pressure from Age and Weight
    1 question
    Section 4: Practical machine learning issues
    Generalization error, train and test sets
    Generalization and Overfitting Demonstration in Code
    Categorical inputs
    One-hot encoding
    1 question
    Probabilistic Interpretation of Squared Error
    L2 Regularization - Theory
    L2 Regularization - Code
    The Dummy Variable Trap
    Gradient Descent Tutorial
    Gradient Descent for Linear Regression
    Bypass the Dummy Variable Trap with Gradient Descent
    L1 Regularization - Theory
    L1 Regularization - Code
    L1 vs L2 Regularization
    Section 5: Conclusion and Next Steps
    Brief overview of advanced linear regression and machine learning topics
    Exercises, practice, and how to get good at this
    Section 6: Appendix
    BONUS: Where to get Udemy coupons and FREE deep learning material
    How to install Numpy, Scipy, Matplotlib, Pandas, IPython, Theano, and TensorFlow

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    Instructor Biography

    Lazy Programmer Inc., Data scientist and big data engineer

    I am a data scientist, big data engineer, and full stack software engineer.

    For my masters thesis I worked on brain-computer interfaces using machine learning. These assist non-verbal and non-mobile persons communicate with their family and caregivers.

    I have worked in online advertising and digital media as both a data scientist and big data engineer, and built various high-throughput web services around said data. I've created new big data pipelines using Hadoop/Pig/MapReduce. I've created machine learning models to predict click-through rate, news feed recommender systems using linear regression, Bayesian Bandits, and collaborative filtering and validated the results using A/B testing.

    I have taught undergraduate and graduate students in data science, statistics, machine learning, algorithms, calculus, computer graphics, and physics for students attending universities such as Columbia University, NYU, Humber College, and The New School. 

    Multiple businesses have benefitted from my web programming expertise. I do all the backend (server), frontend (HTML/JS/CSS), and operations/deployment work. Some of the technologies I've used are: Python, Ruby/Rails, PHP, Bootstrap, jQuery (Javascript), Backbone, and Angular. For storage/databases I've used MySQL, Postgres, Redis, MongoDB, and more.

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