The dataset US States has a great deal of information on the 50 states in the US, including two categorical variables and 14 quantitative variables. In the questions that follow, we ask you to use technology to do some analysis of this dataset.

(a) Choose one of the two categorical variables and use technology to create a frequency table and a relative frequency table of the values.

(b) Choose one of the quantitative variables and use technology to create a histogram. Describe the shape of the histogram. For the same variable, create a boxplot. Are there any outliers? Finally, for the same variable, give summary statistics: mean, standard deviation, and the five number summary.

(c) Choose any quantitative variable and any categorical variable and use technology to create a side-by-side boxplot. Describe what you see in the graph, and discuss any association that might exist between the variables, as evidenced by the graph.

(d) Create a two-way table of the two categorical variables. Find appropriate proportions to help you determine if there is an association between the two variables, and explain your reasoning.

(e) Choose any two quantitative variables and use technology to create a scatterplot. Describe the scatterplot: Is there an obvious positive or negative linear trend? Are there any outliers? Use technology to find the correlation and the least squares line to predict one variable from the other. Interpret the slope of the line in context.