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.

แบบฝึกหัดนี้เป็นส่วนหนึ่งของหลักสูตร

Inference for Linear Regression in R

ดูคอร์ส

คำแนะนำการฝึกหัด

Look at the plot that has been drawn for you.
Swap popdata for new_popdata in the sampling code, and redraw the plot.
Look at the new plot. How is it different?

แบบฝึกหัดเชิงโต้ตอบแบบลงมือทำ

ลองทำแบบฝึกหัดนี้โดยเติมโค้ดตัวอย่างนี้ให้สมบูรณ์

# 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)

แก้ไขและรันโค้ด