Suppose I have a toy example for linear regression
set.seed(0) n_data=50 true_coeff_b1=0.37 noise_ratio=0.13 conf_int_level=0.77 x=runif(n_data) y=true_coeff_b1*x+noise_ratio*rnorm(n_data) fit=lm(y~x-1) summary(fit) confint(fit)
Whats the relationship between Std. Error and Confidence Interval (as shown in red boxes in the figure?)
I remember from some book, they are different things, one is point estimation another is a random interval estimation (population parameter is fixed and unknown). But is there any relationship between them?