Recap: Inference for Regression

Review all the inferences for regression.

We'll cover the following

Theory-based inference for regression
Summary of statistical inference

Theory-based inference for regression

When we interpreted the regression table, we mentioned that R doesn’t compute its values using simulation-based methods for constructing confidence intervals and conducting hypothesis tests using the infer package. Rather, R uses a theory-based approach using mathematical formulas, similar to theory-based confidence intervals and theory-based hypothesis tests. These formulas were derived in a time when computers didn’t exist, so it would’ve been incredibly labor-intensive to run extensive simulations.

In particular, there’s a formula for the standard error of the fitted slope $𝑏_1$ :

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Getting Started with Data in R

Data Visualization

Data Wrangling

Data Importing and “Tidy” Data

Basic Regression

Multiple Regression

Statistical Inference with the infer Package

Bootstrapping and Confidence Intervals

Hypothesis Testing

Inference for Regression

Tell a Story with Data

Appendix

Recap: Inference for Regression

Theory-based inference for regression