Hypothetical population - less variability around the line
In order to understand the sampling distribution associated with the slope coefficient, it is valuable to visualize the impact changes in the sample and population have on the slope coefficient. Here, reducing the variance associated with the response variable around the line changes the variability associated with the slope statistics.
Este exercício faz parte do curso
Inference for Linear Regression in R
Instruções do exercício
- Look at the plot that has been drawn for you.
- Swap
popdatafornew_popdatain the sampling code, and redraw the plot. - Look at the new plot. How is it different?
Exercício interativo prático
Experimente este exercício completando este código de exemplo.
# Update the sampling to use new_popdata
many_samples <- popdata %>%
rep_sample_n(size = 50, reps = 100)
# Rerun the plot; how does it change?
ggplot(many_samples, aes(x = explanatory, y = response, group = replicate)) +
geom_point() +
geom_smooth(method = "lm", se = FALSE)