Homework 5 of STAT 3355 Data Analysis for Statisticians & Actuaries Due: 2:30pm October 26 (Tuesday), 2021 Let’s work on the dataset diamonds in the package ggplot2. You can use the following code to...

Please follow the guidelines strictly


Homework 5 of STAT 3355 Data Analysis for Statisticians & Actuaries Due: 2:30pm October 26 (Tuesday), 2021 Let’s work on the dataset diamonds in the package ggplot2. You can use the following code to load the data. Use necessary code to read the description of the dataset, which contains 53940 samples and 10 variables. # Install the package if you never did install.packages("ggplot2") # Load the pacakge library(ggplot2) # Load the mpg dataset data("diamonds") Problem 1 (1× 5 = 5 points) Use ggplot2 to visualize the data. You need to paste the resulting plots and related code in order to get the full points. For each ggplot2 plot: • make it complete/readable, in other words, it should include axis label(s), title, and legend if necessary; • write 1–2 sentence about what the chart tells you about the data. (a) Choose a bin number or a binwidth (Hint: See page 11 of lecture 04c.pdf), explain why, and create a histogram of carat (b) Make a scatter plot of y =price against x =carat and set the color to clarity (c) Make a scatter plot of y =price against x =carat and add a smooth line to each group of points defined by clarity (d) Make a scatter plot of y =price against x =carat and facet it by clarity (e) Show carat vs cut, make a point, a jitter, a box plot and a violin plot, respectively. Which one is the best for visualization? 1 https://elearning.utdallas.edu/webapps/blackboard/execute/content/file?cmd=view&mode=designer&content_id=_3086018_1&course_id=_171899_1 Problem 2 (1× 5 = 5 points) Use ggplot2 to recreate the following plots with title. You need to paste the new plots and related code in order to get full points. (a) Recreate the following two plots, add a short title, and comment on the merits of each one compared to the other 0 1000 2000 3000 4000 5000 I1 SI2 SI1 VS2 VS1 VVS2 VVS1 IF clarity co un t cut Fair Good Very Good Premium Ideal Fair G ood V ery G ood P rem ium Ideal I1 SI2 SI1 VS2 VS1 VVS2 VVS1 IF 0 1000 2000 3000 4000 5000 0 1000 2000 3000 4000 5000 0 1000 2000 3000 4000 5000 0 1000 2000 3000 4000 5000 0 1000 2000 3000 4000 5000 clarity co un t cut Fair Good Very Good Premium Ideal (b) Recreate the following plot and add a short title 0 10000 20000 0 1 2 3 4 5 carat pr ic e clarity I1 SI2 SI1 VS2 VS1 VVS2 VVS1 IF 2 (c) Recreate the following plot and add a short title 0 5000 10000 15000 I1 SI2 SI1 VS2 VS1 VVS2 VVS1 IF clarity pr ic e cut Fair Good Very Good Premium Ideal (d) Recreate the following plot and add a short title 0 5000 10000 15000 0 1 2 3 carat pr ic e cut Fair Good Very Good Premium Ideal (e) Recreate the following plot and add a short title (Hint: Choose binwidth = 0.1) Fair G ood V ery G ood P rem ium Ideal 50 60 70 80 0.0 0.2 0.4 0.6 0.8 0.0 0.2 0.4 0.6 0.8 0.0 0.2 0.4 0.6 0.8 0.0 0.2 0.4 0.6 0.8 0.0 0.2 0.4 0.6 0.8 depth de ns ity 3