Homework Assignment: Analyzing NYC Flight Data

This homework assignment uses the flights dataset from the nycflights13 package, which contains real-world data on over 336,000 flights departing from New York City airports (JFK, LGA, EWR) in 2013. The dataset includes variables such as departure and arrival times (with date components), airline carrier (categorical), origin and destination airports (categorical), delays (with missing values for cancelled flights), distance, and more. It is sourced from the US Bureau of Transportation Statistics.

Objectives

This assignment reinforces the Week 4 topics:

  • Parsing and manipulating dates/times using lubridate.
  • Creating and analyzing time series with zoo.
  • Working with factors, inspecting levels, and recoding them.
  • Identifying and handling missing data (e.g., removal, imputation).

All questions (except the final reflection) require you to write and run R code to solve them. Submit your URL for your RPubs. Make sure to comment your code, along with key outputs (e.g., summaries, plots, or tables). Use the provided setup code to load the data.

Setup

Install and load the necessary packages if not already done:

#install.packages(c("nycflights13", "dplyr", "lubridate", "zoo", "forcats"))  # If needed
library(nycflights13)
library(dplyr)
## 
## Attaching package: 'dplyr'
## The following objects are masked from 'package:stats':
## 
##     filter, lag
## The following objects are masked from 'package:base':
## 
##     intersect, setdiff, setequal, union
library(lubridate)
## 
## Attaching package: 'lubridate'
## The following objects are masked from 'package:base':
## 
##     date, intersect, setdiff, union
library(zoo)
## 
## Attaching package: 'zoo'
## The following objects are masked from 'package:base':
## 
##     as.Date, as.Date.numeric
library(forcats)  # For factor recoding; base R alternatives are acceptable
data(flights)  # Load the dataset

Explore the data briefly with str(flights) and head(flights) to understand the structure. Note: Dates are in separate year, month, day columns; times are in dep_time and arr_time (as integers like 517 for 5:17 AM).

#Explore your data here
str(flights)
## tibble [336,776 × 19] (S3: tbl_df/tbl/data.frame)
##  $ year          : int [1:336776] 2013 2013 2013 2013 2013 2013 2013 2013 2013 2013 ...
##  $ month         : int [1:336776] 1 1 1 1 1 1 1 1 1 1 ...
##  $ day           : int [1:336776] 1 1 1 1 1 1 1 1 1 1 ...
##  $ dep_time      : int [1:336776] 517 533 542 544 554 554 555 557 557 558 ...
##  $ sched_dep_time: int [1:336776] 515 529 540 545 600 558 600 600 600 600 ...
##  $ dep_delay     : num [1:336776] 2 4 2 -1 -6 -4 -5 -3 -3 -2 ...
##  $ arr_time      : int [1:336776] 830 850 923 1004 812 740 913 709 838 753 ...
##  $ sched_arr_time: int [1:336776] 819 830 850 1022 837 728 854 723 846 745 ...
##  $ arr_delay     : num [1:336776] 11 20 33 -18 -25 12 19 -14 -8 8 ...
##  $ carrier       : chr [1:336776] "UA" "UA" "AA" "B6" ...
##  $ flight        : int [1:336776] 1545 1714 1141 725 461 1696 507 5708 79 301 ...
##  $ tailnum       : chr [1:336776] "N14228" "N24211" "N619AA" "N804JB" ...
##  $ origin        : chr [1:336776] "EWR" "LGA" "JFK" "JFK" ...
##  $ dest          : chr [1:336776] "IAH" "IAH" "MIA" "BQN" ...
##  $ air_time      : num [1:336776] 227 227 160 183 116 150 158 53 140 138 ...
##  $ distance      : num [1:336776] 1400 1416 1089 1576 762 ...
##  $ hour          : num [1:336776] 5 5 5 5 6 5 6 6 6 6 ...
##  $ minute        : num [1:336776] 15 29 40 45 0 58 0 0 0 0 ...
##  $ time_hour     : POSIXct[1:336776], format: "2013-01-01 05:00:00" "2013-01-01 05:00:00" ...
head(flights)
## # A tibble: 6 × 19
##    year month   day dep_time sched_dep_time dep_delay arr_time sched_arr_time
##   <int> <int> <int>    <int>          <int>     <dbl>    <int>          <int>
## 1  2013     1     1      517            515         2      830            819
## 2  2013     1     1      533            529         4      850            830
## 3  2013     1     1      542            540         2      923            850
## 4  2013     1     1      544            545        -1     1004           1022
## 5  2013     1     1      554            600        -6      812            837
## 6  2013     1     1      554            558        -4      740            728
## # ℹ 11 more variables: arr_delay <dbl>, carrier <chr>, flight <int>,
## #   tailnum <chr>, origin <chr>, dest <chr>, air_time <dbl>, distance <dbl>,
## #   hour <dbl>, minute <dbl>, time_hour <dttm>
tail(flights)
## # A tibble: 6 × 19
##    year month   day dep_time sched_dep_time dep_delay arr_time sched_arr_time
##   <int> <int> <int>    <int>          <int>     <dbl>    <int>          <int>
## 1  2013     9    30       NA           1842        NA       NA           2019
## 2  2013     9    30       NA           1455        NA       NA           1634
## 3  2013     9    30       NA           2200        NA       NA           2312
## 4  2013     9    30       NA           1210        NA       NA           1330
## 5  2013     9    30       NA           1159        NA       NA           1344
## 6  2013     9    30       NA            840        NA       NA           1020
## # ℹ 11 more variables: arr_delay <dbl>, carrier <chr>, flight <int>,
## #   tailnum <chr>, origin <chr>, dest <chr>, air_time <dbl>, distance <dbl>,
## #   hour <dbl>, minute <dbl>, time_hour <dttm>

Question 1: Creating Dates with lubridate

Create a column dep_datetime by combining year, month, day, and dep_time into a POSIXct datetime using lubridate. (Hint: Use make_datetime function to combine: year, month, day, for hour and min use division, e.g., hour = dep_time %/% 100, min = dep_time %% 100.)

Show the first 5 rows of flights with dep_datetime.

Output: First 5 rows showing year, month, day, dep_time, and dep_datetime.

flights <- flights |> 
  mutate(dep_datetime = make_datetime(year, month, day, hour = dep_time %% 100, min = dep_time %% 100))

flights |>
  select(year,month,day,dep_time,dep_datetime) |>
  head(5)
## # A tibble: 5 × 5
##    year month   day dep_time dep_datetime       
##   <int> <int> <int>    <int> <dttm>             
## 1  2013     1     1      517 2013-01-01 17:17:00
## 2  2013     1     1      533 2013-01-02 09:33:00
## 3  2013     1     1      542 2013-01-02 18:42:00
## 4  2013     1     1      544 2013-01-02 20:44:00
## 5  2013     1     1      554 2013-01-03 06:54:00

Question 2: Simple Date Manipulations with lubridate

Using dep_datetime from Question 1, create a column weekday with the day of the week (e.g., “Mon”) using wday(dep_datetime, label = TRUE). Use table() to show how many flights occur on each weekday.

Output: The table of flight counts by weekday.

flights <- flights |>
  mutate(weekday = wday(dep_datetime,label= TRUE))

table(flights$weekday)
## 
##   Sun   Mon   Tue   Wed   Thu   Fri   Sat 
## 43926 44492 48107 48959 49192 48982 44863

Question 3: Time Series with zoo

Filter for flights from JFK (origin == “JFK”) and create a zoo time series of departure delays (dep_delay) by dep_datetime. Plot the time series (use plot()). (Hint: Use a subset to avoid memory issues, e.g., first 1000 JFK flights using `slice_head().)

Output: The time series plot.

jfk_flights <- flights |>
  filter(origin == "JFK") |>
  arrange(dep_datetime) |>
  slice_head(n = 1000)

jfk_delays_ts <- zoo(jfk_flights$dep_delay, jfk_flights$dep_datetime) 
## Warning in zoo(jfk_flights$dep_delay, jfk_flights$dep_datetime): some methods
## for "zoo" objects do not work if the index entries in 'order.by' are not unique
plot(jfk_delays_ts)

Question 4: Working with Factors

Convert the origin column (airports: “JFK”, “LGA”, “EWR”) to a factor called origin_factor. Show the factor levels with levels() and create a frequency table with table(). Make a bar plot of flights by airport using barplot().

Output: The levels, frequency table, and bar plot.

flights <- flights |>
  mutate(factor_origin = factor(origin)) 
levels(flights$factor_origin)
## [1] "EWR" "JFK" "LGA"
table(flights$factor_origin)
## 
##    EWR    JFK    LGA 
## 120835 111279 104662
barplot(table(flights$factor_origin),main = "Origin of Flights")

Question 5: Recoding Factors

Recode origin_factor from Question 4 into a new column origin_recoded with full names: “JFK” to “Kennedy”, “LGA” to “LaGuardia”, “EWR” to “Newark” using fct_recode() or base R. Create a bar plot of the recoded factor.

Output: The new levels and bar plot.

flights <- flights |>
  mutate(origin_recoded = fct_recode(factor_origin, 
                                    "Kennedy" = "JFK", 
                                    "LaGuardia" = "LGA", 
                                    "Newark" = "EWR"))

table(flights$origin_recoded)
## 
##    Newark   Kennedy LaGuardia 
##    120835    111279    104662
barplot(table(flights$origin_recoded))

Question 6: Handling Missing Data

Count missing values in dep_delay and arr_delay using colSums(is.na(flights)). Impute missing dep_delay values with 0 (assuming no delay for cancelled flights) in a new column dep_delay_imputed. Create a frequency table of dep_delay_imputed for delays between -20 and 20 minutes (use filter() to subset).

Output: NA counts, and the frequency table for imputed delays.

colSums(is.na(flights[,c("dep_delay", "arr_delay")]))
## dep_delay arr_delay 
##      8255      9430
flights <- flights |>
  mutate(dep_delay_imputed = ifelse(is.na(dep_delay),0, dep_delay))

table(flights$dep_delay_imputed [flights$dep_delay_imputed >= -20 &
                     flights$dep_delay_imputed <= 20])
## 
##   -20   -19   -18   -17   -16   -15   -14   -13   -12   -11   -10    -9    -8 
##    37    19    81   110   162   408   498   901  1594  2727  5891  7875 11791 
##    -7    -6    -5    -4    -3    -2    -1     0     1     2     3     4     5 
## 16752 20701 24821 24619 24218 21516 18813 24769  8050  6233  5450  4807  4447 
##     6     7     8     9    10    11    12    13    14    15    16    17    18 
##  3789  3520  3381  3062  2859  2756  2494  2414  2256  2140  2085  1873  1749 
##    19    20 
##  1730  1704

Question 7: Reflection (No Coding)

Reflect on the assignment: What was easy or hard about working with flight dates or missing data? How might assuming zero delay for missing values (Question 6) affect conclusions about flight punctuality? What did you learn about NYC flights in 2013? (150-200 words)

This assignment was somewhat challenging, especially working with missing data. Working with the flight dates wasn’t to hard, though I initially forgot to use the datetime() function properly, which caused several errors in multiple questions before I fixed the issue. When using colSums(is.na) to check for missing values, I thought I had to use the $ symbol, but now I know that’s only when referencing a single column.

From the NYC flights data set for 2013, I learned that flight activity was very high throughout the week, showing that each day had over 40,000 flights, with Thursday having the most, at 49,192. Looking at the origin of the flights, filtering flights from JFK and plotting the first 1000 flights listed to create a plot, most flights left on time, but on January 3 there was a huge spike in delays. When we looked at the data from all origins, we find that there were 120,835 flights from EWR, 111,279 from JFK and 104,662 from LGA in 2013. Lastly, we looked through the data to find how many missing values there were within departure and arrival delays. It listed that there were 8,255 departure delays and 9,430 arrival delays in 2013.