paid course

Inference for Linear Regression

In this course you'll learn how to perform inference using linear models.

  • 4 hours
  • 15 Videos
  • 59 Exercises
  • 2,594 Participants
  • 4,650 XP

Course Description

Previously, you learned the fundamentals of both statistical inference and linear models; now, the next step is to put them together. This course gives you a chance to think about how different samples can produce different linear models, where your goal is to understand the underlying population model. From the estimated linear model, you will learn how to create interval estimates for the effect size as well as how to determine if the effect is significant. Prediction intervals for the response variable will be contrasted with estimates of the average response. Throughout the course, you'll gain more practice with the dplyr and ggplot2 packages, and you will learn about the broom package for tidying models; all three packages are invaluable in data science.

In this course you'll learn how to perform inference using linear models.

Course Outline

  1. 1

    Inferential ideas

    Free

    In the first chapter, you will understand how and why to perform inferential (instead of descriptive only) analysis on a regression model.

  2. t-Based Inference For the Slope Parameter

    In this chapter you will learn about how to use the t-distribution to perform inference in linear regression models. You will also learn about how to create prediction intervals for the response variable.

  3. Building on Inference in Simple Linear Regression

    This chapter covers topics that build on the basic ideas of inference in linear models, including multicollinearity and inference for multiple regression models.

  1. 1

    Inferential ideas

    Free

    In the first chapter, you will understand how and why to perform inferential (instead of descriptive only) analysis on a regression model.

  2. Simulation-based inference for the slope parameter

    In this chapter you will learn about the ideas of the sampling distribution using simulation methods for regression models.

  3. t-Based Inference For the Slope Parameter

    In this chapter you will learn about how to use the t-distribution to perform inference in linear regression models. You will also learn about how to create prediction intervals for the response variable.

  4. Technical Conditions in linear regression

    Additionally, you will consider the technical conditions that are important when using linear models to make claims about a larger population.

  5. Building on Inference in Simple Linear Regression

    This chapter covers topics that build on the basic ideas of inference in linear models, including multicollinearity and inference for multiple regression models.

Jo Hardin
Jo Hardin

Professor at Pomona College

Jo Hardin is a professor of mathematics and statistics at Pomona College. Her statistical research focuses on developing new robust methods for high throughput data. Recently, she has also worked closely with the statistics education community on ways to integrate data science early into a statistics curriculum. When not working with students or on her research, she loves to put on a pair of running shoes and hit the road.

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Course Instructor

Jo Hardin
Jo Hardin

Professor at Pomona College

Jo Hardin is a professor of mathematics and statistics at Pomona College. Her statistical research focuses on developing new robust methods for high throughput data. Recently, she has also worked closely with the statistics education community on ways to integrate data science early into a statistics curriculum. When not working with students or on her research, she loves to put on a pair of running shoes and hit the road.

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Collaborator(s)
  • Nick Carchedi

    Nick Carchedi

  • Nick Solomon

    Nick Solomon

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