Lab Goal: The simple goal of this lab is to get you thinking about R and RStudio again.

This lab can be completed with only R and without RStudio, but you should really use RStudio. For reference material, see Applied Statistics with R chapter two through six.

Basic Calculations

[Exercise] Calculate \(e^2\).

[Exercise] Calculate the natural log of 3.

Getting Help

y = c(0, 2, NA, 3, 4, 1, 9, 0)

[Exercise] Calculate the mean of y with the missing values removed. Use only the mean() function.


[Exercise] Run the following code:

ggplot(mpg, aes(x = reorder(class, hwy), y = hwy, fill = class)) + 
  geom_boxplot() +
  xlab("class") +
  theme(legend.position = "none")

To do so, you will need to make sure the ggplot2 package is installed, and loaded.

[Exercise] Modify the following code to run, but without loading the entire MASS library. The lda() function is from the MASS package.

lda(Species ~ ., data = iris)$means

Vectors and Lists

x = 1:100

[Exercise] Calculate

\[ \sum_{i = 1}^{n} \ln(x_i). \]

That is, sum the log of each element of x.

[Exercise] After running the following code, how many of the elements of some_vector are larger than 1? A good solution will use only one line of code.

some_vector = rnorm(100)


[Exercise] Consider a random variable \(X\) that has a normal distribution with a mean of 5 and a variance of 9. Calculate

\[ P[X > c], \]

for \(c = 1, 2, 3, 4, 5, 6, 7, 8, 9, 10.\)