Inference for Linear Regression in R
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In this course you’ll learn how to perform inference using linear models.
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.
What You’ll Learn
Inferential ideas
In the first chapter, you will understand how and why to perform inferential (instead of descriptive only) analysis on a regression model.
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.
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.
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.
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.
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