Economics 481 Fall 2022 Problem Set #1 For each of the following problems, use R to find your answers. Show me the R code you used in your answer. For both of the problems you should get the R software running, and also have R-Studio working, too. 1. Load the built-in data set Orange and examine the help documentation. a. Create a histogram for the variable "age". b. Calculate the mean and standard deviation of the variable "circumference". c. Create a scatterplot for the age and circumference variables placing the tree's age along the horizontal axis and also calculate the correlation coefficient between the two variables. 2. The file PACCLAIMS . csy contains the number of weekly continuing unemployment assistance claims in Pennsylvania starting in January 2002. Load the file into R using the read.csv function. a. Use the summary ( ) command to find the maximum and minimum numbers of weekly claims. b. Create a boxplot for the number of weekly unemployment claims. c. Create a line plot of the number of weekly unemployment claims