IST 687 HW1.knit

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Dec 6, 2023

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11/29/23, 7:56 PM HW1.knit file:///C:/Users/empet/OneDrive/Desktop/Fall 2023/Elyse Peterson HW1.knit_files/HW1.knit_files/IST687 HW1.knit.html 1/3 Intro to Data Science - HW 1 Copyright Jeffrey Stanton, Jeffrey Saltz, and Jasmina Tacheva # Enter your name here: Elyse Peterson Attribution statement: (choose only one and delete the rest) # 1. I did this homework by myself, with help from the book and the professor. Define a variable: x <- 280 Define the following vectors, which represent the population (in thousands) and number of colleges in each of the five counties in Central New York (CNY) – Cayuga , Cortland , Madison , Onondaga , and Oswego , in this order: population <- c(80, 49, 73, 467, 122) colleges <- c(2, 2, 3, 9, 2) Part 1: Calculating statistics using R A. Show the number of observations in the population vector with the length() function: length(population) ## [1] 5 B. Show the number of observations in the colleges vector with the length() function: length(colleges) ## [1] 5 C. Calculate the average CNY population using the mean() function: mean(population) ## [1] 158.2 D. Calculate the average number of colleges in CNY using the mean() function: mean(colleges)

11/29/23, 7:56 PM HW1.knit file:///C:/Users/empet/OneDrive/Desktop/Fall 2023/Elyse Peterson HW1.knit_files/HW1.knit_files/IST687 HW1.knit.html 2/3 ## [1] 3.6 E. Calculate the total CNY population using the sum() function: sum(population) ## [1] 791 F. Calculate the total number of colleges in CNY using the sum() function: sum(colleges) ## [1] 18 G. Calculate the average CNY population again, this time using the results from steps A & E : sum(population)/length(population) ## [1] 158.2 H. Calculate the average number of colleges in CNY again, this time using the results from steps B & F : sum(colleges)/length(colleges) ## [1] 3.6 Part 2: Using the max/min and range functions in {r} I. How many colleges does the county with most colleges have? Hint: Use the max() function: max(colleges) ## [1] 9 J. What is the population of the least populous county in CNY? Hint: Use the min() function: min(population) ## [1] 49 K. Display the populations of the least populous and most populous county in the dataset together. Hint: Use the range() function:

11/29/23, 7:56 PM HW1.knit file:///C:/Users/empet/OneDrive/Desktop/Fall 2023/Elyse Peterson HW1.knit_files/HW1.knit_files/IST687 HW1.knit.html 3/3 range(population) ## [1] 49 467 Part 3: Vector Math L. Create a new vector called extraPop , which is the current population of a county + 50 (each county has 50,000 more people): extraPop<- population+50 M. Calculate the average of extraPop : mean(extraPop) ## [1] 208.2 N. In a variable called bigCounties , store all the population numbers from the original population vector which are greater than 120 (using subsetting in R): bigCounties<-population[population>120] bigCounties ## [1] 467 122 O. Report the length of bigCounties : length(bigCounties) ## [1] 2

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