Simulation-Based Inference for Regression

When we interpreted the third through seventh columns of a regression table, we stated that R doesn’t do simulations to compute these values. Rather, R uses theory-based methods that involve mathematical formulas.

We’ll use the simulation-based methods to recreate the values in the regression table. In particular, we’ll use the infer package workflow to:

• Construct a 95% confidence interval for the population slope $\beta_1$ using bootstrap resampling with replacement. We did this with the pennies data and with the mythbusters_yawn data.

• Conduct a hypothesis test of $H_0\space : \space \beta_1=0$ vs. $H_A\space : \space \beta_1 \neq0$ ...