Homework 1

Due: Monday Sept. 16, 2024 at 10pm

This assignment has a total of 23 pts possible. Your score out of 20 will noted and scaled to 5 points (maximum of 5).

Question 1 – Conceptual Questions: (2pts each)

• Part A What does it mean to say two variables are associated with each other?

• Part B What does it mean to say two variables are independent of each other?

• Part C What does the distribution of a variable tell us?

Question 2 For this question, we will be using the iris dataset, giving the measurements, in centimeters, of the variables for sepal and petal length and width. You can read more on the dataset here. An image of what these variables correspond to on a flower are provided below.

NOTE: You will need to edit out the image from your document in order for it to knit to a .pdf doc. If your doc does not knit, this may be the cause.

To load this data into R, simply copy and paste the following into your Rmd file in an R code chunk

library(ggplot2)
data(iris)

Use this data to answer the following questions:

• Part A How many observations and variables are in the iris dataset? In one sentence, briefly describe what constitutes an observation in this data. (2 pts)

• Part B Use the code below to create the appropriate plot to visualize the relationship between the variables Sepal.Width and Sepal.Length. Do these two variables appear to be associated? If so, comment on the strength of this association. (2 pt)

ggplot(iris, aes(Sepal.Width, Sepal.Length)) + geom_point()

• Part C Use the code below to create the plot again, this time adding additional information for the variable Species. Has anything changed in the association between Sepal.Width and Sepal.Length? Comment on the strength, form, and direction of any associations you see (1pt)

ggplot(iris, aes(Sepal.Width, Sepal.Length, color = Species)) + geom_point()

Question 3:

From the IMS Textbook, do the following exercises (you do not need to read anything from the textbook to answer these):

• Ch 4.8: #5, #6
• Ch 5.10 #1, #2

Write your answers to these exercises below:

• IMS Ch 4.8, #5 (3pts)

• IMS Ch 4.8, #6 (4pts)

• IMS Ch 5.10, #1 (3pts)

• IMS Ch 5.10, #2 (2pts)