Homework Assignment 2: Data Analysis and Visualization Insights

--- title: "Homework Assignment 2" author: "han wang" date: "2024/1/30" output: pdf_document: default word_document: default html_document: df_print: paged --- ```{r setup, include=FALSE} knitr::opts_chunk$set(echo = TRUE) library(tidyverse) ## Include the command to load the data here!!!! ``` * * * ## Question 1 ### a) Plot 1 and 3 are positive associations Plot 2 is a no association Plot 4 is a negative association. ## Question 2 (Exercise 1.4 on Page 19): ### a) The means and standard deviations of the distributions (1) and (2) are the same but there are outliers in (2) and no outliers in (1). ### b) The means of the distributions (1) and (2) are the same. However, the standard deviation of distribution (2) will be larger than that of distribution (1) because the values of distribution (2) are further from the mean than those of distribution (1). ### c) The means of distributions (1) and (2) are different and the mean of distribution (2) is larger than that of distribution (1). This is because the value of distribution (2) is further away from the mean than the value of distribution (1) ### d) The means of distributions (1) and (2) are different and the mean of distribution (2) is smaller than that of distribution (1). This is because since the value of distribution (2) is further away from the mean than the value of distribution (1) ## Question 3 : ### a)

a-2 b-3 c-1 ## Question 4 (Exercise 1.12 on Page 21): ### a) The median is approximately 30 ### b) The relative frequency distribution of the AQI is right skewed, with the mean higher than the median. ### c) Q1 is approximately 15, Q3 is approximately 40, IQR is approximately 25. ### d) There were no unusual AQIs. ## Question 5 : ### a) Median best represents these data IQR best represents the variability of the data ### b) Typical observations are best represented by the mean The variability of the observations is best represented by the IQR ### c) The most representative of a typical observation is the mean The standard deviation best represents variability ### d) The median is the best representation The best representation of variability is the standard deviation ## Question 6 : ### a) The distribution of percent Hispanic population is skewed to the left, and the log- transformed distribution is clearly bell-shaped ### b) the histogram allows us to understand the overall distribution of the data. ### c) None of the visualizations are more helpful

## Question 7 ### a) 40.879% ### b) 30.549% ### c) 16.22% ### d) 43.59% 32.99% 16% ### e) Political ideology as a factor influencing the views of immigrants ## Question 8 (Exercise 1.40 on Page 37): Write your answers for question 8 here. ### a) Freshman scores will lower the average score. ### b) 64 ### c) further away from the mean, thus increasing the standard deviation ## Question 9 (Exercise 1.43 on Page 38): Write your answers for question 9 here. ### a) Write your answer for question 9a here. ### b) Write your answer for question 9b here. ### c) Write your answer for question 9c here. ## Question 10: ### a) mean:42.75 median:32.5 ### b)

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Range:63 Variance:340.69 Standard deviation:18.46 ### c)

Homework 1 Template-17b249f8-9f32-4f5a-a2e7-b8bf8b7df98f

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