SE method - bootstrap CI for slope
The twins study was used to weigh in on the question of whether IQ is a result of nature (your genes) or nurture (your environment). If IQ was purely a result of nature, what slope would you expect to see in your linear model?
Recall that one way to create a confidence interval for a statistic is to calculate the statistic repeatedly under different bootstrap samples and to find the standard deviation associated with the bootstrapped statistics.
The twins
data is already loaded in your workspace.
This exercise is part of the course
Inference for Linear Regression in R
Exercise instructions
- As with the previous exercise, use the
infer
steps on thetwins
data to specify aFoster
vs.Biological
model, generate 1000 bootstrapped replicates, and calculate the slope statistic. - Calculate the confidence interval of
stat
as the mean plus or minus two standard deviations.
Hands-on interactive exercise
Have a go at this exercise by completing this sample code.
set.seed(4747)
# Calculate the slope statistic
# from 1000 bootstrap replicates of
# the Foster vs. Biological model
# of the twins dataset
boot_slope <- ___
# Create a confidence interval of stat
# 2 std devs each side of the mean
boot_slope %>%
summarize(
lower = ___,
upper = ___
)