# Inference for Linear Regression in R

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

4 Hours15 Videos59 Exercises10,752 Learners4650 XPStatistical Inference Track

or

By continuing, you accept our Terms of Use, our Privacy Policy and that your data is stored in the USA. You confirm you are at least 16 years old (13 if you are an authorized Classrooms user).

## 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.

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.

Variability in regression lines
50 xp
Regression output: example I
100 xp
First random sample, second random sample
100 xp
Superimpose lines
100 xp
Research question
50 xp
Regression hypothesis
50 xp
Variability of coefficients
50 xp
Original population - change sample size
100 xp
Hypothetical population - less variability around the line
100 xp
Hypothetical population - less variability in x direction
100 xp
What changes the variability of the coefficients?
50 xp
2. 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. 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. 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. 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.

In the following tracks

Statistical Inference

Collaborators

Nick CarchediNick Solomon

#### 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.

## What do other learners have to say?

I've used other sites—Coursera, Udacity, things like that—but DataCamp's been the one that I've stuck with.

Devon Edwards Joseph
Lloyds Banking Group

DataCamp is the top resource I recommend for learning data science.

Louis Maiden