DATA 606 - Statistics & Probability - Fall 2021

Foundation for Inference Part 2

Click here to open the slides (PDF).

Here’s the R code for the random number discussion.

sample(1:100, 1)
## [1] 59
sample(1:100, 1)
## [1] 67
set.seed(2112); sample(1:100, 1)
## [1] 6
random_numbers <- integer(1000)
for(i in 1:length(random_numbers)) {
    set.seed(i)
    random_numbers[i] <- sample(1:100, 1)
}
plot(1:length(random_numbers), random_numbers)

cor.test(1:length(random_numbers), random_numbers)
## 
##  Pearson's product-moment correlation
## 
## data:  1:length(random_numbers) and random_numbers
## t = -0.11161, df = 998, p-value = 0.9112
## alternative hypothesis: true correlation is not equal to 0
## 95 percent confidence interval:
##  -0.06551171  0.05847292
## sample estimates:
##          cor 
## -0.003532972