Statistics

Lab $3$b

Spring $2024$

Prior to class on January $30,$ enter your solutions to these problems using the form on Blackboard. Before you start working on part $b,$ be sure steps listed in the script for part a have been executed successfully:

Load the tidyverse library, and make sure the Packages box for ggplot$2$ is checked: library$($tidyverse$)$

Use the Import Dataset feature to import the csv file Chicago socioeconomic data; change the name to mydat and select 'Yes' for column headings.

Next enter and execute the following command to assign column names that are more convenient to work with:

colnames$($mydatc$(\text{'}$Num$\text{'},$ 'Name', 'Crowded', 'Poverty', 'Unemployed', $\text{'}$HS diploma', 'Young or old', 'Income', 'Hardship'$)$

A scatter plot matrix is a useful graphic for seeing an overall picture of potential interactions among the variables in a dataset. The command pairs$()$ can be used to create that figure; here is the default version: pairs$($mydat$)$

What kind of variable in the dataset led to the error message?

You can work around that problem by incorporating the slicing technique used in part a$.$ Modify the argument in the command pairs$()$ to create a scatter plot based on data in columns $3$ through $9.$ Use that figure to find answers to the following questions:

$2.$ Which variable appears to have a negative correlation with all the other variables?

$3.$ Which variable generally exhibits the lowest correlation relative to all the other variables?

$4.$ Which two variables appear to exhibit the most well$-$defined relationship, with the least scatter?