412612Test1

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School

American University *

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412

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Statistics

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Apr 3, 2024

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AMERICAN UNIVERSITY STAT 412/612 TEST 1 Be sure to provide all r code that produces the requested plots/output tibbles or data frames . Use ggplot coding to produce graphs and plots as demonstrated in class. Submit all results in a n Rmardown file and a word file or a n Rmarkdown file and a pdf. library(tidyverse) library(dplyr) library(ggplot2) midwest View(midwest) V = ∏r 2 h SA = 2(∏rh + ∏r 2 ) For some of the problems, you have to determine what variables to use. Problems 1 – 10 are for undergraduate (412) and graduate (612) students. # 1 # Using the midwest data frame produce a data table that shows output for the Ohio (OH) only. Produce correct output by using two methods. First use the piping method and then use the assignment method. # 2 # Using the midwest data frame, produce a data table that shows white population that is greater than 50,000 but less than 90,000 for the state of Indiana (IN) # 3 # Using the midwest data , produce a data frame (20 observations) that shows only the variables state, county , poptotal , popamerindian , percamerindian for the state of Indiana. Also, your data frame should show popamerindian in descending order. Which county in Indiana has the highest number of Native Americans? # 4 # Using the midwest data and dplyr functions, create a data frame for only the state of Michigan (MI) showing those counties that have a known poverty population that is greater than 10,000 and a percentage of professionals that is greater than 10 percent. Only select variables that you need for the data frame, your output should only have four variables and six (rows) / observations. # 5 # Using the midwest data and dplyr commands and functions, write r code that will show the mean of the poverty population for the counties of each state. # 6 # Using the midwest data, produce a scatter plot showing a relationship between the variables poppovertyknown and poptotal (Let poptotal = x and poppovertyknown = y). # 7 # Using the midwest data, write r code that will produce the following side by side boxplots.

# 8 # Using the midwest data, write r code that will produce a facet plot that shows scatter plots (red data points) with respect to the levels for the variable state . Also add code that will generate regression lines through your scatter plots that feature x = percollege and y = percprof. Title your facet plot "College/Professional Work Scatter Plots" # 9 # Using the midwest data frame, create a bar graph that shows the different counts for each state in the data set. Your bars should have different colors. Which state has the highest count? # 10 # The formula used to find the volume of a cylinder is V = pi times r squared and the formula to find the Surface Area of a cylinder is A = 2(pi times r times h + pi times r squared) Using the formal notation and process for writing a function, as demonstrated in class, to write a function that will calculate the Volume and the Surface Area of a given cylinder. Test your function by calculating answers for r = 5 and h = 10. # Questions 11 and 12 are for graduate students (612) only # 11 # A partial data frame to be generated from the midwest data frame is given below. Write r code and apply dplyr functions that will produce an additional 20 rows to the 5 rows shown. A tibble: 72 x 6 state county poptotal popadults Ratio Percent <chr> <chr> <int> <int> <dbl> <dbl> 1 Wisconsin ADAMS 15 682 11 378 0.726 72.6

2 Wisconsin ASHLAND 16 307 10 262 0.629 62.9 3 Wisconsin BARRON 40 750 26 198 0.643 64.3 4 Wisconsin BAYFIELD 14 008 9 418 0.672 67.2 5 Wisconsin BROWN 194 594 120 575 0.620 62.0 # 12# Use ggplot coding to produce the side-by-side plots shown below. (Hint: use the categorical variable state and the quantitative variable area of the midwest data table.

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