R Exam
Blair McKee
3/23/2020
Introduction
The purpose of this document is to help the Ohio department of education perform an analysis on the universities within the state of Ohio. This analysis will show comparisons from schools in Ohio and how they compare to other schools on a regional and national level. The analysis will be performed using data from the US Department of Education, an organization responsible for collecting and reporting data on all institutions of higher education in the country. The analysis will also include visualizations that will make the information tangible and easier to understand.
Sections
The document is structured with the following sections:
Required Packages Data Preparation & Cleaning Simple Analysis & Trends Directed Analysis *Self-Directed Analysis
Required Packages
The packages required for this markdown are: * Tidyverse #the entire tidyverse collection * skimr #data summary * sqldf #use sql commands to make calculations * rmarkdown #convert markdown documents to html * dplyr #easy data manipulation * DT #creating clear data tables
Scorecard
Question 3.1
Download the .csv to your working directory then import it using the following url: https://myxavier-my.sharepoint.com/:x:/g/personal/mckeeb_xavier_edu/EWgls4KocS1HitszISWEIy0B7EdF3zj7KaQuRv7zdzTVog?download=1
#Import Data using a CSV file
scorecard <- read.csv("https://myxavier-my.sharepoint.com/:x:/g/personal/mckeeb_xavier_edu/EWgls4KocS1HitszISWEIy0B7EdF3zj7KaQuRv7zdzTVog?download=1")
scorecard1 <- read_csv("http://asayanalytics.com/scorecard")
scorecard1 %>%
filter(STABBR %in% c("OH","PA","IN","WV", "KY", "MI")) %>%
group_by(INSTNM)## # A tibble: 1,221 x 29
## # Groups: INSTNM [1,209]
## ID INSTNM CITY STABBR ZIP CONTROL LOCALE LATITUDE LONGITUDE HBCU
## <dbl> <chr> <chr> <chr> <chr> <chr> <dbl> <dbl> <dbl> <chr>
## 1 143233 Betha… Rich… IN 47374 2 32 39.8 -84.9 0
## 2 150048 Ancil… Dona… IN 46513 2 42 41.3 -86.4 0
## 3 150066 Ander… Ande… IN 46012 2 13 40.1 -85.7 0
## 4 150136 Ball … Munc… IN 47306 1 13 40.2 -85.4 0
## 5 150145 Bethe… Mish… IN 46545 2 13 41.7 -86.2 0
## 6 150163 Butle… Indi… IN 46208 2 11 39.8 -86.2 0
## 7 150172 Calum… Whit… IN 46394 2 21 41.7 -87.5 0
## 8 150215 Chris… Indi… IN 46208 2 11 39.8 -86.2 0
## 9 150251 Colle… Valp… IN 46385 3 21 41.5 -87.1 0
## 10 150288 Conco… Fort… IN 46825 2 11 41.1 -85.1 0
## # … with 1,211 more rows, and 19 more variables: MENONLY <dbl>,
## # WOMENONLY <dbl>, ADM_RATE <dbl>, ACTCM25 <dbl>, ACTCM75 <dbl>,
## # ACTCMMID <dbl>, SAT_AVG <dbl>, UGDS <chr>, COSTT4_A <dbl>, AVGFACSAL <dbl>,
## # PCTPELL <dbl>, PCTFLOAN <dbl>, AGE_ENTRY <dbl>, FEMALE <dbl>,
## # MARRIED <dbl>, DEPENDENT <dbl>, VETERAN <dbl>, FIRST_GEN <dbl>,
## # FAMINC <dbl>Question 3.2
Perform the following data cleaning tasks.
sum(is.na(scorecard)) ## [1] 49030colSums(is.na(scorecard)) ## ID INSTNM CITY STABBR ZIP CONTROL LOCALE LATITUDE
## 0 0 0 0 0 0 444 445
## LONGITUDE HBCU MENONLY WOMENONLY ADM_RATE ACTCM25 ACTCM75 ACTCMMID
## 445 0 444 444 5078 5823 5823 5823
## SAT_AVG UGDS COSTT4_A AVGFACSAL PCTPELL PCTFLOAN AGE_ENTRY FEMALE
## 5795 0 3531 2868 770 770 500 1429
## MARRIED DEPENDENT VETERAN FIRST_GEN FAMINC
## 1392 921 4538 1247 500#Data Cleaning and Conformity
scorecard$CONTROL <- as.numeric(scorecard$CONTROL)
scorecard$UGDS <- as.character(scorecard$UGDS)
scorecard$UGDS <- as.numeric(scorecard$UGDS)
scorecard$INSTNM <- str_remove_all(scorecard$INSTNM,"\\'")
scorecard$LOCALE <- replace(scorecard$LOCALE,scorecard$LOCALE == -3, NA)
scorecard$HBCU <- replace(scorecard$HBCU,scorecard$HBCU == "NULL", NA)
scorecard$UGDS <- replace(scorecard$UGDS,scorecard$UGDS == "NULL", NA)
scorecard$CONTROL <- replace(scorecard$CONTROL, scorecard$CONTROL == "Public", 1)
scorecard$CONTROL <- replace(scorecard$CONTROL, scorecard$CONTROL == "For-Profit", 2)
scorecard$CONTROL <- replace(scorecard$CONTROL, scorecard$CONTROL == "Private Non-Profit", 3)
scorecard$CONTROL <- replace(scorecard$CONTROL, scorecard$CONTROL == "Private For-Profit", 4)##Dummy Variables
## [1] "below" "below" "below" "above" "below" "above" "below" "below" "below"
## [10] "above" "above" "below" "below" "below" "below" "below" "below" "below"
## [19] "below" "below" "below" "below" "below" "below" "below" "below" "below"
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## [91] "above" NA "below" "below" "below" "below" "below" "below" "below"
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## [181] "below" NA "below" "below" "below" "below" "above" NA NA
## [190] "below" "below" NA "below" "below" "below" "below" "below" "above"
## [199] "below" "below" "below" "below" "above" "below" "below" "below" NA
## [208] "below" "below" "above" "above" NA "above" "above" "above" "below"
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## [226] "below" "below" "below" "below" "above" "below" "below" "above" "below"
## [235] "below" "below" "above" "above" NA "below" "below" "below" "above"
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## [253] "below" "below" "below" "below" "below" "below" "below" "above" "below"
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## [271] "below" "below" "above" "below" "below" NA "below" "above" "below"
## [280] "below" "below" "below" "below" "below" "below" "below" "below" NA
## [289] "below" "below" "below" "above" NA "below" "below" "below" NA
## [298] "below" "below" "above" "above" "above" "below" "below" NA NA
## [307] "below" "below" "below" NA "below" "below" "below" NA "below"
## [316] "below" "below" "below" "below" "below" "below" NA "below" "below"
## [325] "below" "above" "below" "above" NA "below" "below" "below" "below"
## [334] "above" "below" "below" "below" "below" "below" "below" "above" "below"
## [343] "below" "above" "below" "below" "below" "below" NA "below" "below"
## [352] "above" "below" "below" "below" "below" "below" "below" "below" "below"
## [361] "above" "below" "below" "below" "below" "below" "above" "below" NA
## [370] "below" "below" "below" "below" "below" "below" "below" "below" "above"
## [379] "below" "above" "below" "below" "below" "below" "below" "below" "below"
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## [397] "below" "below" "below" NA "below" "below" "below" "below" "below"
## [406] "below" "above" "above" "below" "below" "above" "below" "above" "below"
## [415] "below" "below" NA NA "above" "above" "below" "below" "below"
## [424] "above" "above" "below" "above" "above" "below" "below" "below" NA
## [433] "below" "above" "below" "below" "below" "below" "below" "below" "below"
## [442] NA "below" "below" "below" "below" "below" "below" "below" "below"
## [451] "above" "above" "above" "below" NA "above" NA "below" "below"
## [460] "above" "below" "below" "below" "below" "below" "below" "above" "below"
## [469] "below" NA "above" "below" "below" "below" "below" "below" "above"
## [478] "below" "below" "below" "below" "below" "above" "below" "above" "below"
## [487] "below" "above" "below" "below" NA NA NA "below" "above"
## [496] "below" "below" NA "above" "below" "below" "below" "below" "below"
## [505] NA "below" "below" "below" "below" "below" "below" "below" "below"
## [514] NA "above" "above" "below" NA "below" NA "below" "below"
## [523] "below" "below" "below" "below" "below" "below" "below" "above" "below"
## [532] "above" "below" "above" "below" "below" "below" "below" "above" "below"
## [541] "above" "below" "below" "below" "below" "below" "below" NA "above"
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## [649] "above" "above" "above" "below" "below" "below" NA "below" "below"
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## [667] "below" "above" "below" "below" "below" "below" "below" "below" "above"
## [676] "below" "below" "above" "below" "below" "below" "above" "above" "below"
## [685] "below" "below" "below" "below" "below" "below" "below" "below" "below"
## [694] "below" "above" "above" "below" "above" "below" "below" "below" "below"
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## [883] NA "below" "below" "below" "below" "below" "above" "below" "below"
## [892] "above" "above" "below" "below" "below" "below" "above" "below" "below"
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## [910] NA "below" "below" "above" "above" "above" "below" "below" "below"
## [919] "below" "below" "below" "below" "above" "below" NA "below" NA
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## [937] "below" "below" "above" "above" "below" "below" "below" "above" "below"
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## [955] "below" "below" "below" "above" "below" "below" "below" NA "below"
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## [973] "below" "above" "below" "above" "below" NA "below" NA "below"
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## [1009] "above" NA "above" "below" "above" "above" "below" "below" "below"
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## [1207] NA "below" "below" "below" "above" "below" "below" "below" "above"
## [1216] "below" "below" "below" "below" "below" "below" "below" "above" NA
## [1225] "below" "below" "below" "below" "above" "below" "above" "above" "below"
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## [1306] "below" NA "above" "below" "below" "below" "below" "below" "below"
## [1315] "below" "below" "below" "below" "above" "above" "above" NA "below"
## [1324] "below" "above" NA "below" "below" "below" "below" "above" "below"
## [1333] "above" "below" "below" "below" "below" "below" "below" "below" "below"
## [1342] "below" "below" "below" NA "below" "below" "below" "above" "above"
## [1351] "below" "below" "above" "below" "below" "below" "below" "below" "below"
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## [1486] "below" "above" "below" "below" "above" "below" "below" "below" "below"
## [1495] "above" "above" "above" "below" "above" NA NA "above" "above"
## [1504] "above" "below" "above" "below" "above" "above" NA "above" "below"
## [1513] "above" "above" "below" "above" "below" "below" "below" "above" "above"
## [1522] "above" "below" "below" "below" NA "above" "above" "above" "above"
## [1531] "below" "below" "below" "below" "below" "below" "below" "above" NA
## [1540] "above" "below" "above" "below" "below" "above" "above" "above" "above"
## [1549] "below" "below" "above" "above" "below" "above" NA "below" "above"
## [1558] "above" NA "above" "above" "below" "above" "below" "above" "above"
## [1567] "below" "above" "below" "below" "above" "below" "below" "above" "above"
## [1576] "above" "above" "below" NA "below" "below" "above" "above" "below"
## [1585] "above" "above" "above" "below" "below" "above" NA NA "above"
## [1594] "below" "above" "above" "below" "below" "above" "below" "below" "below"
## [1603] NA "below" "below" "above" "below" NA "above" "below" "above"
## [1612] "above" "above" "below" "above" "below" "above" "above" "above" "below"
## [1621] "above" "above" "above" "above" "above" "above" "above" "above" "above"
## [1630] "above" "above" "above" "below" "below" "above" "below" "above" "above"
## [1639] "below" "below" "below" "below" "above" NA "below" NA "above"
## [1648] "below" "below" "above" "above" NA "above" "below" "below" "below"
## [1657] "below" NA "below" "above" "below" "below" "below" "below" "above"
## [1666] "below" "below" "above" "below" "below" "above" "below" "above" "below"
## [1675] "below" NA "above" "below" "above" "below" "below" "below" "below"
## [1684] "below" "above" "below" "above" "below" "below" "below" "below" "below"
## [1693] "above" "below" "above" "above" "below" "below" "below" "below" "below"
## [1702] "below" "below" "below" "below" "above" "below" "above" "below" "above"
## [1711] "above" "below" "above" "below" "below" "below" "below" "above" "below"
## [1720] "below" "below" "below" "below" "above" "below" "above" NA "below"
## [1729] "below" "below" "below" "below" "below" "below" "above" NA "below"
## [1738] "below" "above" "below" "below" "below" "above" "below" "below" "above"
## [1747] "above" "above" "above" "below" "above" "above" "above" "below" "above"
## [1756] "below" "below" "below" "below" "below" "above" "above" NA "below"
## [1765] "below" "above" "below" "below" NA "above" "below" "above" "above"
## [1774] "above" "below" "below" "below" "above" "above" "below" "above" "below"
## [1783] "below" "below" "above" "above" "below" "above" "below" "below" "below"
## [1792] "above" "below" "above" "below" "below" "below" "below" "below" "above"
## [1801] "below" "above" "above" "above" "above" "above" "above" "above" "below"
## [1810] "above" "below" "below" "above" "below" NA "below" "above" "below"
## [1819] "below" "above" NA "below" "below" "below" "below" "below" "below"
## [1828] "below" "below" "below" "below" "below" "below" "below" "below" "below"
## [1837] "below" "below" "below" "below" "below" "above" "below" "above" "below"
## [1846] "below" "above" "below" "below" "above" "below" "below" "below" "below"
## [1855] "below" "below" "below" "below" "below" NA "below" NA "below"
## [1864] "above" "below" "below" "below" "below" "below" "below" "above" "below"
## [1873] "below" "below" "below" "below" NA "above" NA "below" "above"
## [1882] "below" "below" NA "below" "below" "above" "above" "below" "below"
## [1891] "below" "below" "below" "below" "below" "below" "below" "above" "above"
## [1900] NA NA "below" "below" "below" "above" "above" "below" "below"
## [1909] NA "above" "below" "below" "below" "below" "below" "above" "below"
## [1918] "above" "below" "above" "above" "above" "below" "below" "below" NA
## [1927] "below" "above" "above" "above" "below" "below" "below" "below" "below"
## [1936] "above" "above" "below" "above" "below" "below" "below" "below" "above"
## [1945] "below" NA "below" "below" "above" "below" "below" "below" "above"
## [1954] "above" "below" "below" NA "above" "above" "above" "above" "above"
## [1963] "below" "below" "below" "below" "below" "above" "below" "below" "below"
## [1972] "below" "below" "below" "below" "above" "below" "below" "below" "below"
## [1981] "above" "above" "below" "above" "below" "above" "below" "below" "above"
## [1990] "above" "below" "above" "below" "above" "above" "above" "below" "above"
## [1999] NA "below" "above" "below" "above" "below" "below" "above" "above"
## [2008] "above" "below" "below" "above" "above" "above" "below" "below" "below"
## [2017] "above" "below" "above" "above" "above" "below" "above" "below" "below"
## [2026] "below" "below" "below" "below" "above" "below" "above" "below" "below"
## [2035] "above" "below" "above" "below" "below" "above" "above" "below" "above"
## [2044] "below" "below" "below" "below" "below" "above" "above" "above" "above"
## [2053] "above" "below" "below" "below" "below" "below" "below" "below" "above"
## [2062] "above" "above" "below" "above" "below" NA "below" "below" "below"
## [2071] "below" "below" "below" "below" "below" "above" "below" "above" "below"
## [2080] "below" "below" "below" "above" "below" "above" "above" "below" "below"
## [2089] "below" "above" "below" "above" "below" "above" "above" "below" "below"
## [2098] "below" "below" "below" "below" "below" "below" "below" "below" "below"
## [2107] "below" "below" "below" "above" "above" NA "below" "below" NA
## [2116] "below" "above" "below" "below" "below" "below" "below" "below" "above"
## [2125] "below" "above" "below" "above" "below" "above" "above" "above" "above"
## [2134] "above" "below" "below" "above" "below" "below" "below" "above" "above"
## [2143] "below" "below" "below" "above" "below" "above" "below" "below" "below"
## [2152] "below" "below" "below" "below" "below" "below" "below" "below" "below"
## [2161] "below" "above" "below" "below" "below" "below" "below" "below" "below"
## [2170] "below" "below" "below" "above" "below" NA "below" "below" "below"
## [2179] "below" "below" "below" "above" "below" "below" "above" NA NA
## [2188] "above" "below" "above" "above" "below" "above" "above" "below" "below"
## [2197] "below" NA "above" "above" "below" "below" NA "below" "below"
## [2206] "below" "below" "below" "below" "below" NA "below" "below" "below"
## [2215] "below" "below" "below" "above" "below" "below" "below" "above" "below"
## [2224] "below" NA "below" "above" "above" "below" "below" NA "above"
## [2233] "below" "above" "below" "below" "above" "below" "below" "below" "above"
## [2242] "above" "above" "below" "above" "above" "below" "below" "below" "below"
## [2251] "below" "below" "below" "below" "below" "below" "below" "below" "below"
## [2260] "below" "below" "below" "below" NA "below" "above" "above" "above"
## [2269] NA "above" "below" "below" "below" "above" "below" "above" "below"
## [2278] "above" "above" "below" "below" "below" NA "below" "above" "above"
## [2287] "below" "below" "above" "above" "above" "above" "below" "below" "above"
## [2296] "below" "above" "above" "below" "below" "below" "above" "above" "below"
## [2305] "above" "above" "above" "below" "below" "below" "below" "below" "below"
## [2314] "below" "above" "above" "above" "below" "below" "above" "above" "below"
## [2323] "below" NA "below" "below" "below" "below" "below" "below" "below"
## [2332] "below" "below" "below" "above" "below" "below" "above" "below" NA
## [2341] "below" "above" "below" "below" "above" "below" NA "below" NA
## [2350] "below" NA "above" "below" "above" "below" "below" NA "above"
## [2359] "below" "below" "below" "below" "below" "below" "above" "above" "below"
## [2368] "below" "below" "above" "below" "below" "below" "below" "below" "above"
## [2377] "above" "above" "above" NA "below" "below" "above" NA "above"
## [2386] "below" "above" "above" "above" "above" "below" "above" "below" "below"
## [2395] "above" "above" "above" NA NA "above" "above" "below" "above"
## [2404] "below" "below" "above" "below" "below" "above" "above" "below" "above"
## [2413] "above" "above" "above" "above" "above" "above" "below" "above" "above"
## [2422] "above" "above" "above" "above" "above" "above" "below" "below" "above"
## [2431] "below" "below" "above" "below" "below" "above" "below" NA NA
## [2440] "below" "below" "below" "below" "below" "below" "above" NA "below"
## [2449] "above" NA "above" "above" "below" "above" "above" "above" "above"
## [2458] "below" "below" "below" "above" "below" NA "below" "below" NA
## [2467] "above" "below" "below" "below" "below" "below" "above" "below" "below"
## [2476] "below" "above" "below" "below" "below" "above" "below" "above" "below"
## [2485] "above" "below" "below" "below" "above" "below" "below" "below" "below"
## [2494] "below" "below" "below" "below" "above" "above" "below" "above" "below"
## [2503] "below" "above" "below" "below" "below" "below" "below" "below" "above"
## [2512] "below" "below" "below" "below" "above" "below" "below" "below" "below"
## [2521] "below" "below" "below" "above" "below" "below" "below" "above" "below"
## [2530] "below" "below" "above" "above" "below" "below" "below" "below" "above"
## [2539] "below" "below" "below" "below" "above" "above" "above" "below" "below"
## [2548] "above" "above" "below" "above" "below" "below" "below" "below" "below"
## [2557] "below" "above" "below" "below" "below" "below" "below" "below" "below"
## [2566] "below" "below" "below" "below" "below" "below" "below" "below" "below"
## [2575] "below" "below" NA "below" "below" "below" "below" "above" "below"
## [2584] "above" NA "below" "below" "below" "below" "above" "below" "below"
## [2593] "below" "above" "below" "above" "above" NA "below" "below" "above"
## [2602] "below" "below" "below" "above" "above" "above" "below" "above" "above"
## [2611] "below" "above" "above" "below" "below" "below" "below" "below" "above"
## [2620] "below" "above" "below" NA "below" "above" "below" "above" "below"
## [2629] "below" "below" "above" "below" "below" "below" NA "below" "below"
## [2638] "above" "below" "above" "below" "above" "above" "below" "below" "below"
## [2647] "below" "above" "above" "above" "below" "below" "below" "below" "below"
## [2656] "above" "above" "above" "above" "below" "above" "above" "below" "below"
## [2665] "below" "above" "below" "above" "below" "below" "below" "above" "below"
## [2674] "below" "below" "below" "above" "above" "above" "below" "below" "below"
## [2683] "above" "below" "below" "below" "above" "below" "below" "below" NA
## [2692] "above" "above" "above" "below" "below" "below" "below" "above" "below"
## [2701] "below" "above" "above" "above" "above" "above" "above" "above" "above"
## [2710] "above" "above" "above" "below" "below" "below" "below" "below" "below"
## [2719] "above" "above" "above" "below" "below" "below" NA "above" "above"
## [2728] "above" "below" "below" "below" "above" "above" "above" "above" "below"
## [2737] "above" "below" "below" "below" "below" "below" "above" NA "above"
## [2746] "above" "below" "above" "below" "above" "above" "above" "above" "above"
## [2755] "above" "below" "below" "below" "below" "above" "above" "above" "above"
## [2764] "above" "above" "above" "below" "above" "above" "above" "below" "below"
## [2773] "below" NA "above" "below" "above" "below" "below" "below" "below"
## [2782] "above" "below" "below" "below" "below" "below" "below" "above" "below"
## [2791] "below" "below" "above" "above" "below" "below" "below" NA "above"
## [2800] NA "below" "above" "above" "below" "above" "below" "below" "above"
## [2809] NA "above" "above" "above" "above" "above" "below" "below" "below"
## [2818] "above" "above" "below" "below" "below" "below" "below" "below" "below"
## [2827] "below" "below" "below" "below" "below" "below" "below" "below" "below"
## [2836] "below" "below" "below" "below" "below" "below" NA "above" "above"
## [2845] "below" "above" "below" "above" "below" "above" "above" "below" "above"
## [2854] "below" "below" "below" "below" "below" "below" "below" "below" "below"
## [2863] "below" "below" "below" "above" "below" "below" "below" "below" "below"
## [2872] "below" "below" "below" "below" "below" "below" "below" "below" "below"
## [2881] "below" "below" "above" "below" "below" "below" "below" "below" "above"
## [2890] "below" "below" "above" "above" "below" "below" "below" "below" "below"
## [2899] NA "below" "above" "below" "above" "below" "below" "above" "above"
## [2908] "above" "above" "above" "below" "below" "below" "below" "below" "below"
## [2917] "below" "above" "above" "below" "below" "below" "below" "below" "below"
## [2926] "below" "below" "above" "below" NA "above" "above" "below" "below"
## [2935] "above" NA "above" "below" "below" "above" "below" "above" "below"
## [2944] "above" "below" NA "above" "below" "below" "below" "below" "below"
## [2953] "below" "above" NA NA "above" "below" "above" "above" "below"
## [2962] "below" "below" "below" "above" "above" "above" "above" "below" "below"
## [2971] "above" "below" "below" "below" "below" "above" "above" "below" "above"
## [2980] "below" "below" "above" "above" "above" "below" "above" "above" "above"
## [2989] "above" "above" "above" "below" "below" "below" "below" "below" "below"
## [2998] "below" "below" "below" "below" "below" "below" NA "below" "above"
## [3007] "above" "above" "above" "above" "below" "above" NA "above" "below"
## [3016] "below" "above" "below" "above" "above" "below" "above" "above" "above"
## [3025] "below" "below" "below" "above" "above" "above" "below" "above" "above"
## [3034] "above" "below" "above" "above" NA "below" "below" "below" "above"
## [3043] "below" "below" "above" "below" "below" "below" "below" "above" "above"
## [3052] NA "below" "above" "below" "above" "above" "below" "below" "below"
## [3061] "above" "above" "below" "above" "above" "below" "above" "above" "above"
## [3070] "above" "below" "above" "below" "below" "above" "below" "below" "below"
## [3079] "above" "above" "above" "above" "above" "above" "above" "above" "above"
## [3088] "above" "above" "above" "above" "above" "above" "above" "above" "above"
## [3097] "above" "above" "above" "above" "below" "below" "below" "above" "above"
## [3106] "below" "above" "above" "above" "above" "above" "below" "above" "below"
## [3115] "above" "above" "above" "above" "above" "below" "below" "below" "below"
## [3124] NA "above" NA "below" "below" "below" NA NA "below"
## [3133] "below" "above" "below" "above" "above" "above" "above" "above" "below"
## [3142] "above" "above" "above" "below" "below" "above" "above" "above" "below"
## [3151] "below" "below" "below" "above" "above" "below" "below" "above" NA
## [3160] "above" "above" "below" "above" "below" "below" "below" NA "above"
## [3169] "below" "above" "below" "above" "below" "below" "above" "above" "below"
## [3178] "above" "above" "below" "above" NA "below" "above" "above" "above"
## [3187] "below" "above" "below" "above" "above" "above" "below" "below" "above"
## [3196] "below" "below" "above" "above" "above" "above" "below" "below" "below"
## [3205] "below" "below" "above" "above" "below" "below" "above" "below" "below"
## [3214] "above" "below" "below" "above" "below" "above" "below" "below" "above"
## [3223] "below" "above" "below" "above" "below" "below" "below" "above" "below"
## [3232] "below" "below" "below" "below" "below" "below" "below" "below" "above"
## [3241] "above" "below" "below" "above" "below" "above" "above" "above" "below"
## [3250] "below" "below" "above" "below" "below" NA "below" "below" "below"
## [3259] "below" "below" "below" "below" "below" "above" "above" "below" "above"
## [3268] "below" "above" "above" "above" "below" "above" NA "above" "above"
## [3277] "below" "below" NA "above" "below" "above" NA "above" "above"
## [3286] "below" "above" NA "below" "below" "above" "above" "below" "below"
## [3295] "above" "below" "below" "below" "below" "above" "below" "above" "above"
## [3304] "below" "above" NA "below" "below" "below" "below" "below" "below"
## [3313] "above" "below" "below" "below" "below" "below" "below" "below" "below"
## [3322] "below" "above" "below" "below" "below" "below" "below" "below" "below"
## [3331] "above" "below" "below" "below" "below" "below" "above" "below" "below"
## [3340] "below" "above" "below" "below" NA "below" "below" "below" NA
## [3349] "below" NA "below" "below" "below" "below" "below" "below" "below"
## [3358] "above" "below" "below" "above" "below" "below" "below" "below" "below"
## [3367] "above" "below" "below" "below" "below" "below" "below" "below" "above"
## [3376] NA "below" "above" "above" "below" "below" "below" "below" "below"
## [3385] "below" "below" "below" "above" "above" "below" "below" "below" "below"
## [3394] "above" "below" "below" "below" "below" "above" "above" "below" "below"
## [3403] "above" "below" NA "below" "below" "below" NA "above" "below"
## [3412] "below" "below" "below" "below" "below" "below" "below" "below" "below"
## [3421] "below" "above" "below" "below" "above" "below" "above" "above" "below"
## [3430] NA "above" "below" "above" "below" "below" "below" "below" "below"
## [3439] "below" "below" NA "below" "below" "below" "below" "below" "below"
## [3448] "below" "above" "below" "below" "above" "below" "below" "below" "below"
## [3457] "below" "below" "above" "below" "below" "below" "below" "below" "below"
## [3466] "below" "below" "below" "below" "below" "below" "below" "below" "above"
## [3475] "below" "below" "above" "below" "above" "below" "above" "below" "below"
## [3484] "below" "below" "below" "below" "below" "below" "below" "below" "below"
## [3493] "below" "below" "above" "below" NA "below" "below" "below" "below"
## [3502] "below" "below" "below" "below" "below" "below" "below" "below" "below"
## [3511] "above" "below" "below" "above" "below" "below" "above" "below" "below"
## [3520] "above" "below" "below" "below" "below" NA "below" "below" "above"
## [3529] "below" "below" "below" "above" "above" "above" "below" "below" "below"
## [3538] "above" "below" "below" "below" "below" "above" "below" "below" "above"
## [3547] "below" "above" "above" "below" "below" NA "above" "below" NA
## [3556] "above" "below" "below" "below" "below" "above" "below" "below" "above"
## [3565] "below" "above" "below" "below" "below" "below" "below" "below" "below"
## [3574] "below" "below" "above" "below" "below" "below" "below" "below" "above"
## [3583] "above" "below" "below" "below" "below" "below" "below" "below" "below"
## [3592] "below" "below" "below" "below" "below" "below" "below" "below" "below"
## [3601] "above" "below" "below" "above" "below" "above" "above" "above" "above"
## [3610] "below" "below" "above" "below" "above" "above" "above" "above" "above"
## [3619] "below" "above" "below" "below" "above" "below" NA "above" "above"
## [3628] "below" "below" "above" "below" "below" "above" "above" "below" "below"
## [3637] "below" "above" "below" "below" "below" "above" "below" "below" NA
## [3646] "below" "above" "above" "below" "below" "above" "below" "above" "above"
## [3655] "above" "below" "above" "below" "below" "above" "below" "above" "below"
## [3664] "below" "above" "above" "below" "below" "below" "below" "above" "below"
## [3673] "below" "below" "above" "below" "below" "below" "below" "below" "above"
## [3682] "below" "above" "above" "below" "below" "below" "above" "above" "below"
## [3691] "above" "above" "above" "above" "below" "below" "below" "below" "above"
## [3700] "below" "below" NA "below" "below" "above" "below" "above" "above"
## [3709] "above" "below" "below" "below" "below" "above" "above" "below" "below"
## [3718] "below" "below" "below" "below" "below" "below" "above" "below" "below"
## [3727] "below" "below" "below" "below" "above" "below" "below" "below" "below"
## [3736] "below" "below" "below" "below" "above" "below" "below" "below" "below"
## [3745] "below" "below" "below" "below" "below" "below" "below" "below" "below"
## [3754] "below" "above" "below" "below" "above" "below" "above" "below" "above"
## [3763] "below" "below" "above" "above" "below" "below" "below" "below" "below"
## [3772] "below" "below" "below" "above" "above" "above" "below" "above" "below"
## [3781] "above" "above" "below" "above" "below" "below" "below" "below" "above"
## [3790] "below" "below" "below" "above" "below" "below" "above" "below" "below"
## [3799] "below" "below" "below" "above" "below" "below" "below" "below" "below"
## [3808] "below" "above" "below" "above" "below" "below" "above" "below" "below"
## [3817] NA "below" "below" "above" "above" "above" "below" "below" "below"
## [3826] "below" "above" "above" "below" "below" "below" "below" "above" "above"
## [3835] "below" "below" "above" "above" "above" "above" "above" "below" "below"
## [3844] "below" "below" "below" "above" "above" "above" "above" "below" "below"
## [3853] "below" "above" "above" "below" "below" NA "below" "below" "below"
## [3862] "above" "above" NA "above" "below" "below" "below" "below" "below"
## [3871] "above" "below" "below" "below" "above" "below" NA "below" "above"
## [3880] "above" "above" "above" "above" "above" "below" "above" "above" "above"
## [3889] "above" "above" "above" "above" "below" "below" "below" "below" "below"
## [3898] "below" "below" "below" "below" "above" "below" "below" "below" "below"
## [3907] "below" "below" "below" "below" "below" "below" "below" "below" "below"
## [3916] "below" "below" "below" "below" "below" "below" "below" "below" "below"
## [3925] "below" "below" NA "below" "below" "below" "below" "below" "below"
## [3934] "below" "below" "below" "below" "below" "below" "below" "below" "below"
## [3943] "below" "below" "below" "below" "below" "below" "below" "below" NA
## [3952] "below" "below" "below" "below" "below" "below" NA "below" "below"
## [3961] "below" "below" "below" "below" "below" "below" "below" "below" "below"
## [3970] "below" "below" NA "below" "below" "below" "below" "below" "below"
## [3979] "below" "above" "above" "below" "below" "below" "below" "below" "below"
## [3988] "below" "below" "below" "below" "below" "below" "below" "below" "below"
## [3997] "below" "above" "below" "below" "below" "below" "below" "below" "below"
## [4006] "below" "below" "below" "below" "below" "below" "below" "below" NA
## [4015] "below" "below" "below" "below" NA "below" "below" "below" "below"
## [4024] "below" "below" "below" NA "below" "below" "above" "below" "above"
## [4033] "below" "below" "below" "below" "below" "below" "below" "below" "below"
## [4042] "below" "below" "above" "below" "below" "below" "below" "below" "below"
## [4051] "below" "below" "below" "below" "below" "below" "below" "below" "below"
## [4060] "below" "below" "below" "below" "below" "below" "below" "below" "below"
## [4069] "below" "below" "below" "below" "below" "below" "below" "below" "below"
## [4078] "below" "below" "below" "above" "below" "below" "above" NA "below"
## [4087] "below" "below" "below" "below" "below" "below" "below" "below" "below"
## [4096] "below" "below" "below" "below" "below" "below" "below" "below" "below"
## [4105] "below" "below" "below" "above" "below" "below" "below" "below" "below"
## [4114] "below" "below" "below" "below" "below" "below" "below" "below" "below"
## [4123] "below" "below" "below" "below" "above" "below" "below" "above" "below"
## [4132] "below" "below" "below" "below" "below" "above" "below" "below" "below"
## [4141] "below" NA "below" "below" "below" "below" "below" "below" "below"
## [4150] NA "below" "below" "below" "below" NA "below" "below" "below"
## [4159] "below" "below" "below" "below" "below" "below" "below" "below" "below"
## [4168] "below" "below" NA "below" "below" "below" "below" "below" "below"
## [4177] "below" "below" "below" "below" "below" "below" "below" "below" "below"
## [4186] NA "below" "below" "below" "below" "below" "below" NA "below"
## [4195] "below" "below" "below" "below" "below" "below" "below" "below" "below"
## [4204] "below" "below" "below" "below" "below" "below" "below" NA "below"
## [4213] "below" "below" "below" "below" "below" "below" "below" "above" "below"
## [4222] "below" "below" "below" "below" "below" NA "below" "below" "below"
## [4231] "below" "below" "below" "below" "below" "below" "below" "below" "below"
## [4240] "below" "below" "below" "below" "below" "below" "below" "below" "below"
## [4249] "below" "below" "below" "below" "below" "below" "below" "below" "below"
## [4258] "below" "below" "below" "below" "below" "below" "below" "below" "below"
## [4267] "below" "below" "below" "below" "below" "below" "below" "below" "below"
## [4276] "below" "below" "below" "above" "above" "above" "below" "below" "below"
## [4285] "below" "below" "below" "below" "below" "below" "below" "below" "below"
## [4294] "below" "below" "below" "below" "below" "below" "below" "below" "below"
## [4303] "below" "below" NA "below" "below" "below" NA "below" "below"
## [4312] "below" "below" "below" "below" "below" "below" "below" "below" "below"
## [4321] "below" "below" "below" "below" "below" "below" "below" "below" "below"
## [4330] "below" "below" "below" "below" "below" "below" "below" "below" "below"
## [4339] "below" "below" "below" "below" "below" "below" "above" NA "below"
## [4348] "below" "below" "below" "below" "below" "below" "below" "below" "below"
## [4357] "below" "below" "below" "below" "below" "below" "below" "below" "below"
## [4366] "below" "below" "below" "below" NA "below" "above" "below" "below"
## [4375] "below" "below" "below" "below" "below" "below" "below" "above" "below"
## [4384] "below" "below" NA "below" "below" "below" "below" "below" "below"
## [4393] "below" "below" "below" "below" NA "below" "below" "below" "below"
## [4402] "below" "below" "below" "below" "below" "below" "below" "below" "below"
## [4411] "below" "below" "below" "below" "below" "below" "below" "below" "below"
## [4420] "below" "below" "below" "below" "below" "above" "below" "below" "below"
## [4429] "below" "below" "below" "below" "below" "below" "below" "below" "below"
## [4438] "below" "below" "below" NA "below" "below" "below" "below" NA
## [4447] NA "below" "below" "below" "below" "below" "below" "below" "below"
## [4456] "below" "below" "below" "below" "below" "below" NA "below" NA
## [4465] "below" "above" "below" "below" "below" "below" "below" "below" "below"
## [4474] "below" "below" "below" "below" "below" "below" "below" "below" "below"
## [4483] "below" "below" "below" "below" "below" "below" "below" "below" "above"
## [4492] "below" "below" "below" "below" "below" "above" "below" "above" "below"
## [4501] "below" NA "below" "below" "below" "below" "below" "below" "below"
## [4510] "below" "below" "below" "below" "below" "below" "below" "below" "below"
## [4519] "below" "below" "below" "below" "below" "below" "below" "below" "below"
## [4528] "below" "below" "below" "below" "below" "below" "below" "below" "below"
## [4537] "below" "below" "below" "below" "below" "below" "below" "below" "below"
## [4546] "below" "below" "below" "below" "below" "below" "below" "below" "below"
## [4555] "below" "below" "below" "below" "below" "below" "below" "below" "below"
## [4564] "below" "below" "below" "below" "below" "below" "below" "below" "below"
## [4573] "below" "below" "below" "below" "below" "below" "below" "below" "below"
## [4582] "below" "below" "below" "below" "below" "below" "below" "below" "below"
## [4591] "below" "above" "below" NA "below" NA "below" "below" "below"
## [4600] "below" "below" "below" "below" "below" "below" "below" "below" "below"
## [4609] "below" "below" NA "below" "below" "below" "below" "below" "below"
## [4618] "below" "below" "below" "below" "below" "below" "below" "above" "below"
## [4627] NA "below" "below" "below" NA "below" "below" "below" "below"
## [4636] "below" "below" "below" "below" "above" "below" "below" "below" "below"
## [4645] "below" "below" "below" NA "below" "below" "below" "below" "above"
## [4654] "below" "below" "below" "below" "below" "below" "below" "below" "below"
## [4663] "below" "below" "below" "below" "below" "below" "below" "below" "above"
## [4672] NA NA "below" "below" "below" "below" "below" "below" "below"
## [4681] "below" "below" "below" "below" "below" "above" "below" "below" "below"
## [4690] "above" "below" "above" "below" "below" "below" "below" "below" "below"
## [4699] "below" "below" "below" "below" "below" "below" "below" "below" "below"
## [4708] "below" "below" NA "above" NA "below" "below" "below" "below"
## [4717] "below" "below" "below" "below" "below" "below" "below" "below" "below"
## [4726] "below" NA "below" "below" "above" "below" "below" "below" "below"
## [4735] "below" "below" "above" "below" "above" "below" "below" "below" "below"
## [4744] "above" "below" "below" "below" "below" "below" "below" "below" NA
## [4753] "below" "below" "below" "below" "below" "below" "below" "below" "below"
## [4762] "below" "below" "below" NA "below" "below" "below" "below" "below"
## [4771] "below" "below" "below" "below" NA "below" "below" "below" "below"
## [4780] "below" NA "below" "below" "below" "below" "below" "below" "below"
## [4789] "below" "below" "below" "below" "below" "below" "above" "above" "above"
## [4798] "below" "below" "below" "below" "above" NA "below" "below" "below"
## [4807] "below" NA "below" "above" "below" "below" "below" "below" "below"
## [4816] "below" "below" "below" "below" "below" "below" "below" "below" "below"
## [4825] "below" "below" "below" "below" "below" "below" "below" "below" "below"
## [4834] "below" "below" "below" "below" "below" "above" "below" "below" "below"
## [4843] "below" "below" "below" "below" "below" "below" "below" "below" "below"
## [4852] "below" "below" "below" "below" "below" "below" "below" "below" NA
## [4861] "above" "below" "below" "below" "below" NA "below" "below" "below"
## [4870] "below" "below" "below" "below" "below" "below" "below" "below" "below"
## [4879] "below" "below" "below" NA "below" "above" "below" "below" "below"
## [4888] "below" NA "below" "below" "below" "below" "below" "below" "below"
## [4897] "above" "below" "below" "below" "below" "below" "below" "below" "below"
## [4906] "below" "below" "below" "below" NA NA "below" "below" "below"
## [4915] NA "below" NA "below" "below" "below" "below" "below" "above"
## [4924] "below" "below" "below" "below" "below" "below" "below" "below" "below"
## [4933] "below" "below" "below" "below" "below" "below" "below" "below" "below"
## [4942] "below" "below" "below" "below" "below" "below" "below" "below" "above"
## [4951] NA "below" "below" "below" "below" "below" "below" NA "below"
## [4960] "above" "below" NA "below" "below" "below" "below" "below" "below"
## [4969] "below" "below" "below" "below" "below" "below" "below" NA "below"
## [4978] "below" "below" "below" "below" "below" "below" "below" "below" "below"
## [4987] "below" NA "below" "below" NA "below" NA "below" "below"
## [4996] "below" "below" "below" "below" "below" "below" "below" "below" "below"
## [5005] "below" "below" "below" "below" "below" "above" "below" "below" "below"
## [5014] "below" "below" "below" "below" "below" "below" "below" "below" "below"
## [5023] NA "below" "below" "below" "below" "below" "below" "below" "below"
## [5032] "below" "below" "below" NA "below" "below" "below" "below" "below"
## [5041] "below" "below" "below" "below" "below" "below" "below" "below" "below"
## [5050] "below" "below" "below" "below" "above" "below" "below" "below" "below"
## [5059] "below" NA "below" "below" "below" "below" "below" "below" "below"
## [5068] "below" "below" "below" NA "below" "below" "below" "below" "below"
## [5077] "below" "below" "below" "below" "below" "below" "below" "below" "above"
## [5086] "below" NA "below" "below" "below" "below" "below" "below" "below"
## [5095] "below" "below" "below" "below" "below" "below" "below" "below" "below"
## [5104] "below" "below" "below" "below" "below" "below" "above" "above" "below"
## [5113] "below" "below" "below" "below" "below" "below" "below" NA "below"
## [5122] "below" "below" "below" NA "above" "below" "below" "below" "below"
## [5131] "below" "below" "below" "below" "below" "below" "below" "below" "below"
## [5140] "below" "below" "below" "below" NA "below" "below" "below" "below"
## [5149] "below" "below" "below" "below" "below" NA "below" "below" "below"
## [5158] "below" "below" "below" "below" "below" "below" "below" "below" "below"
## [5167] "below" "below" "below" "below" "below" "below" "below" "below" "below"
## [5176] "below" "below" "below" "below" "below" "below" "below" "below" "below"
## [5185] "below" "below" "below" "below" NA "below" "below" "below" "below"
## [5194] "below" "below" "below" "below" NA "below" "below" "below" "below"
## [5203] "below" "below" "below" "below" "below" "below" "below" "below" "below"
## [5212] "below" "below" "below" "above" "below" "below" "below" "below" "below"
## [5221] "below" "below" "below" "below" "below" "above" "below" "below" "below"
## [5230] "below" "below" "below" "below" "below" "below" "below" "below" "below"
## [5239] "below" "below" NA "below" "below" "below" "below" "below" "below"
## [5248] "below" "below" "below" "above" "below" "below" "below" "below" "below"
## [5257] "below" "below" "below" "below" "below" "below" "below" "below" "below"
## [5266] "below" "below" "below" "below" "below" "above" "above" "below" "below"
## [5275] "below" "below" "below" NA "below" "below" "below" "below" "below"
## [5284] "below" "below" "below" "below" "below" "below" "below" "below" "below"
## [5293] "below" "below" "below" "below" "below" NA "below" "below" "below"
## [5302] NA "below" "below" NA "above" "below" "below" "below" "below"
## [5311] "below" "below" "below" "below" "below" "below" "below" "below" "below"
## [5320] "below" "below" "below" "below" "below" "above" "below" "below" "below"
## [5329] "below" "below" "below" "below" "below" "below" "below" "below" "below"
## [5338] "below" "below" "below" "below" "below" "below" "below" "below" "below"
## [5347] "below" NA "below" "below" "below" "below" "below" NA "below"
## [5356] "below" NA "below" "below" "below" NA "below" "below" "below"
## [5365] "below" "below" "below" "below" "below" "below" "below" "below" "below"
## [5374] "below" "below" "below" "below" "below" "below" "below" "above" "below"
## [5383] "below" "below" NA "below" "below" "below" "below" "below" "above"
## [5392] "below" "below" "below" "below" "below" "below" "below" "below" "below"
## [5401] "below" "below" "below" "below" "below" "below" "below" "below" "below"
## [5410] "below" "below" "below" "below" "below" "below" "below" "below" "below"
## [5419] "below" "below" "below" "below" "below" "below" "below" "below" "below"
## [5428] "below" "below" "below" "below" "above" "above" "above" "above" "below"
## [5437] "below" "below" "below" "below" "below" "below" "below" "above" "below"
## [5446] "below" "below" "below" "below" "below" "below" "below" "below" "below"
## [5455] "below" "below" "below" NA "below" "below" "below" "below" "below"
## [5464] "below" "below" "below" "below" "below" "below" "below" "below" "below"
## [5473] "below" "below" "below" "above" NA "below" "below" "below" "below"
## [5482] NA "below" "below" "below" NA "below" "below" "below" "below"
## [5491] "below" "below" "below" "below" "below" "below" "below" "below" "below"
## [5500] "below" NA "below" "below" "below" "below" "below" "below" "below"
## [5509] "below" "below" "below" "below" "below" "below" "below" "below" "below"
## [5518] "below" "below" "below" "above" "below" NA NA "below" "below"
## [5527] "below" "below" "below" "below" "below" "below" "below" "below" "above"
## [5536] "below" "below" "below" "below" NA "below" "below" "below" "below"
## [5545] "below" "below" "below" "below" "below" "below" "below" "below" "below"
## [5554] "below" "below" "below" "below" "below" "below" "below" "below" NA
## [5563] "below" "below" "below" "below" "below" "below" "below" "below" "below"
## [5572] "below" "below" "below" "below" "above" "below" "below" "below" "above"
## [5581] "below" "below" "below" "below" "above" "below" "below" "below" NA
## [5590] "below" "below" NA "below" "below" "below" "above" "above" "below"
## [5599] "below" "below" "below" "below" "below" "below" "below" "below" "below"
## [5608] "below" "below" "below" "below" "below" "below" "below" "above" "below"
## [5617] "below" "below" "below" "below" "below" "below" "below" "below" "below"
## [5626] "below" "below" "below" "below" "below" "below" "below" "below" "below"
## [5635] "below" "below" "below" "below" "below" "below" "below" "above" "below"
## [5644] "below" "below" "below" "below" "below" "below" "below" "below" "below"
## [5653] "below" "below" "below" "below" "below" "below" "below" "below" NA
## [5662] "below" "below" "below" "below" "below" "below" "below" "below" "below"
## [5671] "below" "below" "below" "below" "below" "below" "below" "below" "below"
## [5680] "below" "below" "below" "below" "below" "below" "below" "below" "below"
## [5689] "below" "below" "below" "below" "below" "below" "below" "below" "below"
## [5698] "below" "below" "below" "below" "below" NA "below" "below" "below"
## [5707] "below" "below" "below" "below" "below" "below" "below" NA "below"
## [5716] "below" "below" "below" "below" "below" "below" "below" "below" "below"
## [5725] "below" "below" "below" "below" "above" "below" "below" "below" "below"
## [5734] "below" "below" "below" "below" "below" "below" "below" "below" "below"
## [5743] "below" "below" "below" "below" "below" "below" "below" "below" "below"
## [5752] "below" "below" "below" NA "below" "below" "below" "below" "below"
## [5761] "below" "below" "below" "below" "below" "below" "above" "below" NA
## [5770] "below" "below" "below" "below" "below" "below" "below" "below" "below"
## [5779] "below" "below" "below" "below" NA "below" "below" "below" "below"
## [5788] "above" "below" "below" "below" "below" "below" "below" "below" "below"
## [5797] "below" "below" "below" "below" "above" "below" "above" "below" "below"
## [5806] "below" "below" "below" "below" "below" "below" "below" "below" "below"
## [5815] NA NA "below" NA "below" "below" "below" "below" "below"
## [5824] "below" "below" "below" "below" "below" "below" "below" "below" "below"
## [5833] NA "below" "below" "below" "below" "below" "below" "below" "below"
## [5842] "below" NA "above" "below" "below" "below" "below" "below" "below"
## [5851] "below" "below" "below" "below" "below" "below" "below" "below" "below"
## [5860] "below" "below" "below" "below" "below" "below" "below" "below" "below"
## [5869] "below" "below" "below" "below" "below" "below" "below" NA "below"
## [5878] "below" "below" "below" "below" "below" "below" "below" "below" "below"
## [5887] "below" NA "below" "below" "below" "below" "below" "below" "below"
## [5896] "below" "above" NA "below" "below" "below" "below" "below" "below"
## [5905] "above" "above" "below" "below" "below" "below" "below" "below" "below"
## [5914] "below" "below" "below" "below" "below" "below" "below" "below" "below"
## [5923] "below" "below" "below" "below" "below" "below" "below" "below" "below"
## [5932] "below" "below" "below" "below" "below" "below" "below" "below" "below"
## [5941] "below" "below" "above" "below" "below" "below" "below" "below" "below"
## [5950] "below" "below" "below" "below" NA "below" "below" "below" "below"
## [5959] "below" "above" NA "below" "above" "below" "below" "below" "below"
## [5968] "below" "below" "below" NA "below" "below" "below" "below" "below"
## [5977] NA NA "below" "below" "below" "below" "below" "below" "below"
## [5986] "below" "below" "below" "below" "below" "below" "below" "below" NA
## [5995] "below" "below" "above" "above" "below" "below" "below" "below" "below"
## [6004] "below" "below" "below" "below" "below" "below" "below" "below" "below"
## [6013] "below" "below" "below" "below" "below" "below" "below" "below" "below"
## [6022] "below" "below" "below" NA "below" "below" "below" "below" "below"
## [6031] "below" "below" "below" "below" "below" "below" "below" "below" "below"
## [6040] "below" "below" "below" "below" "below" "below" "below" "below" NA
## [6049] "below" "below" "below" "below" "below" "below" "below" "below" "below"
## [6058] "below" "below" "below" "below" "below" "below" "below" "below" "below"
## [6067] "below" "below" "below" "above" "below" "below" "below" NA "below"
## [6076] "below" "below" "below" "below" "below" "below" "below" "below" "below"
## [6085] "above" "below" "below" "above" "below" "below" NA "below" "below"
## [6094] "below" "below" NA "below" "below" "below" "below" "below" "below"
## [6103] "below" "below" "below" "below" NA "below" "below" "below" "below"
## [6112] "below" "below" "below" "below" "above" "below" "below" "below" "below"
## [6121] "below" "below" "below" "below" NA "below" "below" "below" NA
## [6130] "below" "below" "below" "below" "below" "below" "below" "below" "below"
## [6139] NA "below" "below" NA "below" "below" "below" "below" "below"
## [6148] "below" "below" "below" "below" "below" "below" "below" "below" "below"
## [6157] "below" NA "below" "below" "below" "below" "below" "below" NA
## [6166] "below" "below" "below" "below" "below" "below" "below" "below" "below"
## [6175] "below" "below" "below" "below" "below" "below" "below" "below" "below"
## [6184] "below" "below" "below" "below" "below" "below" "below" "below" "above"
## [6193] "below" "below" "below" "below" "below" "below" "below" "below" "below"
## [6202] "below" "below" "below" "below" "below" "below" "below" "below" "below"
## [6211] "below" "below" "below" "below" "below" "below" "below" "below" "below"
## [6220] "below" "below" "below" "above" "below" "above" "below" NA "below"
## [6229] "below" "below" "below" "below" "below" "above" "below" "below" "below"
## [6238] "below" "above" "below" "below" "below" "below" "below" "below" "below"
## [6247] "below" "below" "below" "below" "below" "below" "below" "below" "below"
## [6256] "below" "below" "below" "below" NA "below" "below" "below" "below"
## [6265] "below" "below" "below" "below" "below" "below" NA "below" "below"
## [6274] "below" "below" "below" "below" "below" "below" "below" "below" NA
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## [6598] NA NA NA NA NA NA NA NA NA
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## [6625] NA NA NA NA NA NA NA NA NA
## [6634] NA NA NA NA NA NA NA NA NA
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## [6661] NA NA NA NA NA NA NA NA NA
## [6670] NA NA "below" "below" "below" "below" "below" "below" "above"
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## [6913] "below" "below" "below" NA "below" "above" "below" "below" "below"
## [6922] "below" "below" "below" "below" "above" NA NA NA NA
## [6931] NA NA "below" "below" "below" "below" "below" "below" "below"
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## [6949] NA NA NA NA "below" "above" "above" "above" "above"
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## [7003] "below" "below" "below" "below" "below" "below" "below" "below" "below"
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## [7021] "below" "below" "below" "below" "below" "below" "below" "below" "below"
## [7030] "below" "below" "below" "below" "below" "below" "below" "below" "below"
## [7039] "below" "below" "below" "below" "below" "above" NA "below" "below"
## [7048] "below" "below" "below" "below" "below" "below" "below" "below" "below"
## [7057] "below" "below" "below" "below" "below" "below" "below" "below" "below"
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## [7084] "below" "below" NA NA NA NA NA NA NA
## [7093] NA NA NA NA NA NA "below" "below" "below"
## [7102] "below" NA NA NA "below" "below" NA NA NA
## [7111] NA "below" "below" "below" NA## [1] "University" "University" "University" "University" "University"
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## [6791] "University" "University" "University" "University" "College"
## [6796] "College" "College" "College" "College" "University"
## [6801] "University" "University" "University" "College" "College"
## [6806] "College" "College" "College" "College" "College"
## [6811] "College" "College" "College" "University" "University"
## [6816] "University" "University" "University" "University" "University"
## [6821] "University" "University" "University" "University" "University"
## [6826] "College" "College" "College" "University" "University"
## [6831] "University" "College" "College" "College" "College"
## [6836] "College" "College" "College" "College" "College"
## [6841] "College" "College" "College" "University" "College"
## [6846] "College" "College" "College" "College" "College"
## [6851] "College" "College" "College" "College" "College"
## [6856] "College" "College" "College" "College" "College"
## [6861] "College" "College" "College" "College" "College"
## [6866] "College" "College" "College" "College" "College"
## [6871] "College" "College" "College" "College" "College"
## [6876] "College" "College" "University" "University" "College"
## [6881] "College" "University" "University" "University" "University"
## [6886] "College" "College" "College" "University" "University"
## [6891] "College" "University" "College" "College" "College"
## [6896] "College" "College" "College" "University" "University"
## [6901] "University" "University" "University" "University" "University"
## [6906] "University" "University" "University" "College" "College"
## [6911] "College" "College" "College" "College" "University"
## [6916] "University" "College" "University" "University" "College"
## [6921] "College" "College" "College" "University" "University"
## [6926] "University" "University" "University" "University" "University"
## [6931] "University" "University" "College" "University" "University"
## [6936] "University" "University" "University" "University" "University"
## [6941] "University" "University" "University" "University" "University"
## [6946] "University" "University" "College" "College" "College"
## [6951] "College" "College" "University" "University" "University"
## [6956] "University" "University" "University" "University" "University"
## [6961] "University" "University" "University" "University" "University"
## [6966] "University" "University" "University" "University" "University"
## [6971] "University" "University" "University" "University" "University"
## [6976] "University" "University" "College" "College" "College"
## [6981] "University" "College" "College" "College" "College"
## [6986] "College" "University" "University" "University" "University"
## [6991] "University" "University" "University" "University" "University"
## [6996] "University" "University" "University" "University" "College"
## [7001] "University" "College" "College" "College" "College"
## [7006] "College" "College" "University" "University" "University"
## [7011] "University" "University" "College" "College" "University"
## [7016] "University" "College" "College" "College" "University"
## [7021] "University" "University" "University" "University" "University"
## [7026] "University" "University" "University" "University" "College"
## [7031] "College" "University" "College" "College" "College"
## [7036] "University" "University" "University" "University" "University"
## [7041] "University" "University" "University" "University" "University"
## [7046] "University" "University" "University" "University" "University"
## [7051] "College" "University" "University" "University" "University"
## [7056] "University" "University" "University" "University" "University"
## [7061] "College" "University" "University" "University" "University"
## [7066] "University" "University" "University" "University" "University"
## [7071] "University" "University" "University" "University" "University"
## [7076] "University" "University" "University" "University" "University"
## [7081] "University" "University" "University" "University" "College"
## [7086] "University" "University" "University" "University" "University"
## [7091] "University" "University" "University" "University" "University"
## [7096] "University" "University" "University" "College" "University"
## [7101] "University" "College" "University" "University" "University"
## [7106] "University" "University" "University" "College" "University"
## [7111] "University" "University" "College" "University" "University"## [1] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [13] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [25] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [37] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [49] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [61] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [73] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [85] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [97] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [109] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [121] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [133] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [145] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [157] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [169] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [181] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [193] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [205] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [217] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [229] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [241] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [253] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [265] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [277] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [289] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [301] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [313] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [325] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [337] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [349] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [361] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [373] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [385] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [397] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [409] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [421] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [433] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [445] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [457] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [469] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [481] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [493] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [505] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [517] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [529] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [541] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [553] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [565] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [577] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [589] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [601] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [613] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [625] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [637] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [649] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [661] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [673] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [685] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [697] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [709] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [721] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [733] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [745] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [757] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [769] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [781] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [793] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [805] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [817] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [829] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [841] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [853] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [865] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [877] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [889] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [901] "No" "No" "No" "No" "No" "No" "No" "No" "No" "Yes" "No" "No"
## [913] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [925] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [937] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [949] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [961] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [973] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [985] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [997] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [1009] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [1021] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [1033] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [1045] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [1057] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [1069] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "Yes"
## [1081] "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes"
## [1093] "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes"
## [1105] "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes"
## [1117] "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes"
## [1129] "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes"
## [1141] "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "No" "No"
## [1153] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [1165] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [1177] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [1189] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [1201] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [1213] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [1225] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [1237] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [1249] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [1261] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [1273] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [1285] "No" "No" "No" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes"
## [1297] "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes"
## [1309] "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes"
## [1321] "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes"
## [1333] "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes"
## [1345] "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "No" "No" "No"
## [1357] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [1369] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [1381] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [1393] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [1405] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [1417] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [1429] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [1441] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [1453] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [1465] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [1477] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [1489] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [1501] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [1513] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [1525] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [1537] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [1549] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [1561] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [1573] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [1585] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [1597] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [1609] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [1621] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "Yes" "Yes"
## [1633] "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes"
## [1645] "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes"
## [1657] "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes"
## [1669] "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes"
## [1681] "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes"
## [1693] "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes"
## [1705] "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes"
## [1717] "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes"
## [1729] "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "No" "No" "No"
## [1741] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [1753] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [1765] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [1777] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [1789] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [1801] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [1813] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [1825] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [1837] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [1849] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [1861] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [1873] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [1885] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [1897] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [1909] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [1921] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [1933] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [1945] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [1957] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [1969] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [1981] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [1993] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [2005] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [2017] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [2029] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [2041] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [2053] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [2065] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [2077] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [2089] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [2101] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [2113] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [2125] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [2137] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [2149] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [2161] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [2173] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [2185] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [2197] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [2209] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [2221] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [2233] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [2245] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [2257] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [2269] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [2281] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [2293] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [2305] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [2317] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [2329] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [2341] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [2353] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [2365] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [2377] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [2389] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [2401] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [2413] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [2425] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [2437] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [2449] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [2461] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [2473] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [2485] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [2497] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [2509] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [2521] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [2533] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [2545] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [2557] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [2569] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [2581] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [2593] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [2605] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [2617] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [2629] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [2641] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [2653] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [2665] "Yes" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [2677] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [2689] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [2701] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [2713] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [2725] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [2737] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [2749] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [2761] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [2773] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [2785] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [2797] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [2809] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [2821] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [2833] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [2845] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [2857] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [2869] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [2881] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [2893] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [2905] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [2917] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [2929] "No" "No" "No" "No" "No" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes"
## [2941] "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes"
## [2953] "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes"
## [2965] "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes"
## [2977] "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes"
## [2989] "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "No" "Yes" "Yes"
## [3001] "Yes" "Yes" "Yes" "Yes" "No" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes"
## [3013] "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes"
## [3025] "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes"
## [3037] "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes"
## [3049] "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes"
## [3061] "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes"
## [3073] "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes"
## [3085] "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes"
## [3097] "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes"
## [3109] "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes"
## [3121] "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes"
## [3133] "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes"
## [3145] "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes"
## [3157] "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes"
## [3169] "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes"
## [3181] "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "No" "No" "No"
## [3193] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [3205] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [3217] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [3229] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [3241] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [3253] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [3265] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [3277] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [3289] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [3301] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [3313] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [3325] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [3337] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [3349] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [3361] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [3373] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [3385] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [3397] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [3409] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [3421] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [3433] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [3445] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [3457] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [3469] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [3481] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [3493] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [3505] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [3517] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [3529] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [3541] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [3553] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [3565] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [3577] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [3589] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [3601] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [3613] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [3625] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [3637] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [3649] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [3661] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [3673] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [3685] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [3697] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [3709] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [3721] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [3733] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [3745] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [3757] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [3769] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [3781] "No" "No" "No" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes"
## [3793] "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes"
## [3805] "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes"
## [3817] "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes"
## [3829] "Yes" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [3841] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [3853] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [3865] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [3877] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [3889] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [3901] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [3913] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [3925] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [3937] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [3949] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [3961] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [3973] "No" "No" "No" "No" "No" "No" "No" "No" "Yes" "No" "No" "No"
## [3985] "No" "No" "No" "No" "No" "No" "No" "Yes" "No" "No" "No" "No"
## [3997] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [4009] "No" "No" "Yes" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [4021] "No" "No" "No" "No" "Yes" "Yes" "Yes" "Yes" "No" "No" "No" "Yes"
## [4033] "No" "No" "Yes" "Yes" "Yes" "No" "No" "Yes" "Yes" "No" "No" "No"
## [4045] "No" "No" "No" "No" "No" "No" "Yes" "Yes" "Yes" "No" "Yes" "No"
## [4057] "No" "Yes" "No" "No" "No" "No" "Yes" "No" "No" "No" "No" "No"
## [4069] "No" "No" "No" "No" "No" "No" "Yes" "Yes" "Yes" "Yes" "No" "Yes"
## [4081] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "Yes"
## [4093] "No" "No" "No" "Yes" "No" "No" "No" "No" "No" "No" "No" "No"
## [4105] "No" "No" "No" "No" "No" "No" "Yes" "No" "No" "No" "No" "No"
## [4117] "No" "No" "No" "No" "No" "No" "No" "No" "No" "Yes" "No" "No"
## [4129] "No" "No" "No" "Yes" "Yes" "No" "No" "No" "Yes" "No" "No" "No"
## [4141] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "Yes"
## [4153] "No" "No" "No" "No" "No" "No" "Yes" "Yes" "No" "Yes" "No" "No"
## [4165] "Yes" "No" "No" "No" "No" "No" "No" "No" "Yes" "No" "No" "Yes"
## [4177] "No" "No" "No" "No" "Yes" "No" "No" "No" "No" "No" "No" "No"
## [4189] "No" "No" "No" "No" "No" "Yes" "No" "No" "No" "No" "No" "No"
## [4201] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [4213] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [4225] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [4237] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [4249] "No" "No" "No" "No" "No" "No" "No" "Yes" "Yes" "Yes" "No" "No"
## [4261] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [4273] "No" "No" "No" "No" "No" "No" "No" "No" "No" "Yes" "Yes" "Yes"
## [4285] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "Yes" "No"
## [4297] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "Yes" "No"
## [4309] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [4321] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [4333] "No" "No" "No" "Yes" "No" "No" "No" "No" "No" "No" "No" "No"
## [4345] "No" "No" "No" "No" "No" "No" "No" "Yes" "No" "No" "No" "No"
## [4357] "No" "No" "No" "No" "No" "No" "No" "No" "No" "Yes" "No" "Yes"
## [4369] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [4381] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [4393] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [4405] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [4417] "No" "No" "No" "Yes" "Yes" "No" "No" "No" "No" "No" "No" "No"
## [4429] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [4441] "No" "No" "No" "No" "No" "No" "Yes" "No" "No" "No" "No" "Yes"
## [4453] "No" "No" "No" "Yes" "No" "No" "No" "No" "No" "No" "No" "No"
## [4465] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [4477] "No" "No" "Yes" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [4489] "No" "No" "No" "No" "No" "No" "Yes" "No" "No" "Yes" "Yes" "Yes"
## [4501] "No" "No" "Yes" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [4513] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [4525] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "Yes"
## [4537] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [4549] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [4561] "No" "No" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes"
## [4573] "Yes" "Yes" "Yes" "Yes" "No" "No" "No" "No" "No" "No" "No" "No"
## [4585] "Yes" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "Yes"
## [4597] "Yes" "No" "Yes" "No" "Yes" "No" "No" "No" "No" "No" "No" "No"
## [4609] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [4621] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "Yes" "No"
## [4633] "No" "No" "Yes" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [4645] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [4657] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [4669] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "Yes"
## [4681] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "Yes" "No"
## [4693] "No" "Yes" "No" "Yes" "No" "No" "No" "No" "No" "No" "Yes" "No"
## [4705] "No" "No" "No" "No" "No" "No" "Yes" "No" "No" "No" "No" "No"
## [4717] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [4729] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [4741] "No" "No" "Yes" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [4753] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [4765] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [4777] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [4789] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [4801] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [4813] "Yes" "No" "No" "No" "Yes" "Yes" "No" "No" "No" "No" "No" "No"
## [4825] "No" "No" "No" "Yes" "Yes" "No" "No" "No" "No" "No" "No" "No"
## [4837] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [4849] "No" "Yes" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [4861] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [4873] "No" "Yes" "Yes" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [4885] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [4897] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "Yes"
## [4909] "Yes" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [4921] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [4933] "No" "No" "No" "Yes" "No" "No" "No" "No" "No" "No" "No" "No"
## [4945] "No" "No" "No" "No" "No" "No" "Yes" "No" "No" "No" "No" "No"
## [4957] "No" "No" "No" "Yes" "Yes" "No" "No" "No" "No" "No" "No" "No"
## [4969] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [4981] "Yes" "No" "No" "No" "Yes" "No" "No" "No" "No" "No" "No" "No"
## [4993] "No" "Yes" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [5005] "No" "No" "No" "Yes" "Yes" "No" "No" "Yes" "Yes" "No" "No" "No"
## [5017] "No" "No" "No" "No" "No" "No" "No" "No" "No" "Yes" "No" "No"
## [5029] "No" "No" "No" "No" "No" "No" "Yes" "No" "No" "No" "No" "No"
## [5041] "No" "No" "No" "No" "Yes" "No" "No" "No" "No" "No" "No" "No"
## [5053] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [5065] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [5077] "Yes" "No" "No" "No" "No" "No" "Yes" "No" "No" "No" "No" "No"
## [5089] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "Yes"
## [5101] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [5113] "No" "No" "No" "No" "Yes" "No" "No" "No" "No" "No" "No" "No"
## [5125] "No" "No" "No" "No" "No" "No" "No" "Yes" "No" "No" "No" "No"
## [5137] "Yes" "No" "No" "Yes" "No" "Yes" "No" "No" "Yes" "No" "No" "No"
## [5149] "No" "No" "No" "No" "No" "No" "Yes" "No" "Yes" "No" "No" "Yes"
## [5161] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [5173] "No" "No" "No" "No" "No" "No" "No" "Yes" "No" "No" "Yes" "No"
## [5185] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [5197] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "Yes" "No"
## [5209] "No" "No" "Yes" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [5221] "No" "No" "No" "No" "Yes" "No" "No" "Yes" "No" "No" "No" "No"
## [5233] "No" "No" "No" "No" "No" "No" "No" "No" "Yes" "No" "No" "No"
## [5245] "No" "No" "Yes" "No" "No" "Yes" "No" "No" "No" "No" "No" "No"
## [5257] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "Yes"
## [5269] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [5281] "No" "No" "Yes" "Yes" "No" "No" "No" "No" "No" "No" "No" "No"
## [5293] "No" "No" "No" "No" "No" "No" "No" "No" "No" "Yes" "No" "No"
## [5305] "No" "No" "No" "No" "Yes" "No" "No" "No" "No" "No" "No" "No"
## [5317] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [5329] "No" "No" "No" "No" "No" "No" "No" "Yes" "No" "Yes" "No" "No"
## [5341] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [5353] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [5365] "No" "Yes" "No" "No" "No" "Yes" "Yes" "Yes" "No" "No" "No" "No"
## [5377] "No" "No" "No" "No" "No" "No" "Yes" "No" "No" "No" "No" "No"
## [5389] "No" "No" "No" "No" "No" "No" "No" "No" "No" "Yes" "No" "Yes"
## [5401] "No" "No" "No" "Yes" "No" "No" "No" "No" "No" "No" "No" "No"
## [5413] "No" "Yes" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [5425] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "Yes"
## [5437] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [5449] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [5461] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [5473] "No" "No" "No" "No" "Yes" "Yes" "Yes" "No" "No" "No" "No" "No"
## [5485] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [5497] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "Yes" "Yes"
## [5509] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [5521] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [5533] "No" "No" "Yes" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [5545] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [5557] "No" "No" "No" "Yes" "Yes" "Yes" "No" "No" "Yes" "No" "No" "No"
## [5569] "Yes" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [5581] "No" "No" "No" "No" "No" "No" "No" "No" "Yes" "No" "No" "No"
## [5593] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [5605] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "Yes" "Yes"
## [5617] "No" "No" "No" "No" "Yes" "Yes" "No" "No" "No" "No" "No" "No"
## [5629] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [5641] "No" "No" "No" "Yes" "Yes" "No" "No" "No" "No" "No" "No" "No"
## [5653] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [5665] "No" "No" "No" "No" "Yes" "Yes" "No" "No" "No" "No" "Yes" "No"
## [5677] "No" "No" "No" "Yes" "No" "No" "No" "No" "No" "Yes" "No" "Yes"
## [5689] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [5701] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [5713] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [5725] "No" "No" "Yes" "No" "Yes" "No" "No" "No" "No" "No" "No" "No"
## [5737] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [5749] "No" "No" "No" "No" "No" "No" "No" "Yes" "Yes" "No" "Yes" "No"
## [5761] "No" "No" "No" "No" "No" "No" "No" "No" "No" "Yes" "No" "No"
## [5773] "No" "No" "Yes" "No" "No" "No" "No" "No" "No" "Yes" "No" "No"
## [5785] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [5797] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [5809] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "Yes"
## [5821] "Yes" "No" "No" "No" "No" "No" "No" "No" "No" "No" "Yes" "No"
## [5833] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [5845] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [5857] "No" "No" "No" "No" "No" "Yes" "No" "No" "Yes" "No" "No" "No"
## [5869] "No" "No" "No" "No" "No" "No" "No" "No" "Yes" "No" "Yes" "No"
## [5881] "Yes" "No" "No" "No" "No" "Yes" "No" "No" "No" "No" "No" "No"
## [5893] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [5905] "No" "No" "No" "No" "No" "No" "No" "No" "No" "Yes" "No" "No"
## [5917] "No" "Yes" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [5929] "No" "No" "No" "Yes" "No" "No" "No" "No" "No" "No" "No" "No"
## [5941] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "Yes" "No"
## [5953] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [5965] "No" "No" "No" "Yes" "No" "No" "No" "No" "No" "No" "No" "No"
## [5977] "No" "No" "No" "No" "No" "No" "Yes" "No" "No" "No" "No" "No"
## [5989] "No" "No" "No" "No" "No" "No" "No" "No" "No" "Yes" "No" "No"
## [6001] "No" "No" "No" "Yes" "No" "No" "No" "No" "No" "No" "No" "No"
## [6013] "No" "Yes" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [6025] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [6037] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [6049] "No" "No" "No" "No" "Yes" "No" "No" "No" "No" "No" "No" "No"
## [6061] "No" "No" "No" "No" "No" "No" "No" "No" "No" "Yes" "No" "No"
## [6073] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [6085] "Yes" "Yes" "No" "Yes" "No" "No" "No" "No" "No" "No" "No" "No"
## [6097] "No" "No" "No" "Yes" "No" "No" "No" "Yes" "No" "No" "No" "No"
## [6109] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [6121] "No" "No" "No" "Yes" "Yes" "No" "No" "No" "No" "No" "No" "No"
## [6133] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [6145] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [6157] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [6169] "Yes" "No" "No" "No" "No" "No" "No" "Yes" "Yes" "Yes" "No" "No"
## [6181] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [6193] "No" "No" "Yes" "No" "No" "No" "No" "No" "No" "No" "No" "Yes"
## [6205] "No" "No" "No" "No" "No" "No" "No" "Yes" "No" "No" "No" "No"
## [6217] "No" "No" "Yes" "No" "No" "No" "No" "No" "No" "Yes" "No" "No"
## [6229] "No" "No" "No" "No" "No" "No" "No" "No" "Yes" "No" "No" "No"
## [6241] "No" "No" "No" "No" "No" "No" "Yes" "No" "No" "No" "No" "No"
## [6253] "No" "No" "Yes" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [6265] "No" "No" "No" "No" "No" "Yes" "No" "No" "No" "No" "Yes" "No"
## [6277] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [6289] "No" "No" "No" "No" "No" "No" "No" "Yes" "No" "No" "Yes" "Yes"
## [6301] "Yes" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "Yes"
## [6313] "Yes" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [6325] "No" "No" "No" "Yes" "No" "No" "No" "No" "No" "No" "No" "Yes"
## [6337] "No" "No" "No" "No" "No" "No" "Yes" "No" "No" "No" "No" "No"
## [6349] "No" "No" "No" "No" "Yes" "No" "No" "No" "No" "No" "No" "No"
## [6361] "No" "No" "No" "Yes" "No" "No" "No" "No" "No" "No" "No" "No"
## [6373] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [6385] "No" "No" "Yes" "No" "No" "No" "No" "No" "No" "No" "No" "Yes"
## [6397] "No" "No" "No" "No" "Yes" "No" "Yes" "No" "No" "No" "No" "No"
## [6409] "Yes" "No" "No" "No" "No" "No" "Yes" "No" "No" "No" "No" "No"
## [6421] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [6433] "No" "No" "No" "Yes" "No" "No" "No" "No" "No" "No" "No" "No"
## [6445] "No" "No" "No" "Yes" "No" "No" "No" "No" "No" "No" "Yes" "No"
## [6457] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [6469] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [6481] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [6493] "No" "No" "No" "No" "No" "No" "No" "No" "Yes" "Yes" "No" "No"
## [6505] "No" "Yes" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [6517] "No" "No" "Yes" "No" "No" "No" "No" "No" "Yes" "No" "Yes" "No"
## [6529] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "Yes"
## [6541] "No" "No" "No" "No" "Yes" "Yes" "No" "No" "Yes" "No" "Yes" "No"
## [6553] "Yes" "No" "No" "No" "No" "No" "No" "Yes" "Yes" "No" "No" "Yes"
## [6565] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [6577] "No" "No" "No" "No" "Yes" "No" "No" "No" "No" "No" "No" "No"
## [6589] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [6601] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "Yes" "No"
## [6613] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "Yes" "No"
## [6625] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [6637] "No" "No" "No" "Yes" "No" "No" "No" "No" "No" "No" "Yes" "Yes"
## [6649] "No" "Yes" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [6661] "No" "No" "No" "Yes" "No" "No" "No" "No" "No" "No" "No" "No"
## [6673] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [6685] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [6697] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [6709] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [6721] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [6733] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [6745] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "Yes"
## [6757] "No" "No" "No" "No" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes"
## [6769] "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes"
## [6781] "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "No" "No" "No" "No" "No" "No"
## [6793] "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "No" "No" "No" "No" "No"
## [6805] "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes"
## [6817] "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "No" "No"
## [6829] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [6841] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [6853] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [6865] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [6877] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [6889] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [6901] "No" "No" "Yes" "No" "No" "No" "No" "Yes" "Yes" "Yes" "Yes" "Yes"
## [6913] "Yes" "Yes" "Yes" "No" "Yes" "Yes" "Yes" "No" "No" "No" "No" "No"
## [6925] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [6937] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [6949] "No" "No" "No" "No" "No" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes"
## [6961] "Yes" "Yes" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [6973] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [6985] "No" "No" "No" "Yes" "No" "No" "No" "No" "No" "No" "No" "No"
## [6997] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [7009] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [7021] "No" "No" "No" "Yes" "Yes" "Yes" "Yes" "Yes" "No" "No" "No" "No"
## [7033] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [7045] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [7057] "No" "No" "No" "No" "No" "No" "No" "No" "Yes" "No" "Yes" "No"
## [7069] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [7081] "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [7093] "Yes" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No" "No"
## [7105] "No" "No" "Yes" "No" "No" "No" "No" "No" "No" "No" "No"Question 3.3
Summarize the variables in an rmarkdown table
| Variable | Description |
|---|---|
| ID | Unique identification for each institution |
| INSTNM | Name of institution |
| STABBR | State postcode |
| CONTROL | Tells if the institution is public, private nonprofit, or private for-profit |
| LOCALE | Locale of institution |
| HBCU | Flag for Historically Black Colleges and Universities |
| ADM_RATE | Admission rate |
| ACTCM25 | 25th percentile of the ACT cumulative score |
| ACTCM75 | 75th percentile of the ACT cumulative score |
| SAT_AVG | Average SAT equivalent score of students admitted |
| UGDS | Enrollment of undergraduate certificate/degree-seeking students |
| COSTT4_A | Average cost of attendance (academic year institutions) |
| AVGFACSAL | Average faculty salary |
| PCTPELL | Percentage of undergraduates who receive a Pell Grant |
| PCTFLOAN | Percent of all undergraduate students receiving a federal student loan |
| FIRST_GEN | Share of first-generation students |
| FAMINC | Average family income in real 2015 dollars |
| AVGFAMINC | Whether the average family income of students attending institution are above or below the median household income for Ohio |
| BORDER | States that border Ohio |
| INST_TYPE | Whether the institution is a university or college |
| INST_SIZE | Whether the institution population is greater than 15,000 |
| COMPETITION | Whether the admission rate is less than 10% |
| BIG_EAST | Institutions that belong to the Big East College Basketball Conference |
Question 3.4
Summarize the results into a clean data table
mini_scorecard <- data.frame(scorecard$INSTNM, scorecard$STABBR, scorecard$COSTT4_A, scorecard$AVGFACSAL, scorecard$FAMINC)
datatable(mini_scorecard)Question 3.5
Summary information about the variables of concern in your cleaned data set
summary(scorecard$INST_TYPE, scorecard$BORDER, scorecard$INST_SIZE, scorecard$COMPETITION, scorecard$BIG_EAST)## Length Class Mode
## 7115 character characterQuestion 4.1
Show the number of institutions in Ohio and in each of the states that borders Ohio.
scorecard %>%
filter(STABBR %in% c("OH","PA","IN","WV", "KY", "MI")) %>%
group_by(STABBR)%>%
ggplot(aes(x = STABBR, fill = STABBR)) + geom_bar()+ ggtitle("Number of Institutions that Border Ohio") +
scale_x_discrete(name = "State")
Question 4.2
Illustrate how the cost for attendance varies by family income for all institutions.
ggplot(scorecard, aes(COSTT4_A, FAMINC)) + geom_point(color = "green") + labs(x = "Cost for Attendance", y = "Family Income") + ggtitle("Cost for Attendance vs Family Income") + scale_y_continuous(name = "Average Family Income", labels = scales::dollar) + scale_x_continuous("Cost for Attendance", labels = scales::dollar)
Question 4.3
Compare the number of undergraduates across each of the 3 institutional control types for all institutions
scorecard%>%
filter(CONTROL %in% c('1','2','3')) %>%
group_by(CONTROL)%>%
summarise(count2 = n(), na.rm= TRUE) %>%
ggplot(aes(x= CONTROL, y = count2)) + geom_bar(stat= "identity", fill = "orange") + ggtitle("Number of Undergraduates by Control Type") + scale_y_continuous(name = "Number of Undergrads")
Question 4.4
Show a relationship between ACT or SAT scores and family income across each of the states that border the state of Ohio.
scorecard%>%
filter(BORDER == "Yes") %>%
ggplot(aes(x=ACTCM25, y=FAMINC, color= STABBR)) + geom_point() + ggtitle("ACT Top 25th Percentile vs Family Income") + scale_y_continuous(name = "Average Family Income", labels = scales::dollar) + scale_x_continuous("ACT Top 25th")
Question 5.1
5.1 Do you find support for the old adage: “Private schools cost more than public schools” Explain.
scorecard%>%
group_by(CONTROL)%>%
summarise(COSTT4_A = mean(COSTT4_A, na.rm = TRUE))%>%
head(3)## # A tibble: 3 x 2
## CONTROL COSTT4_A
## <dbl> <dbl>
## 1 1 15691.
## 2 2 38742.
## 3 3 26341.Yes, this data supports that private schools cost more than public schools. The average of the average cost of attendance for public schools is about $16,000. For private nonprofit schools it is about $39,000, and private for-profit is $26,000.
Using the sqldf package, I grouped the data by Control to show if the institution is public, private nonprofit, or private for-profit. Then we took the average of the average cost of attendance for each group using summarise.
Question 5.2
5.2 How does the average family income of students at Xavier University compare nationally? Within Ohio?
sqldf("SELECT INSTNM, FAMINC from scorecard
WHERE INSTNM like 'Xavier University'")## INSTNM FAMINC
## 1 Xavier University 114329.6sqldf("SELECT avg(FAMINC) from scorecard")## avg(FAMINC)
## 1 38482.72sqldf("SELECT INSTNM, FAMINC, STABBR from scorecard
WHERE STABBR like 'OH'
ORDER BY FAMINC DESC
LIMIT 5")## INSTNM FAMINC STABBR
## 1 Kenyon College 137787.5 OH
## 2 University of Dayton 134620.5 OH
## 3 Oberlin College 130188.4 OH
## 4 Xavier University 114329.6 OH
## 5 John Carroll University 111360.0 OHThe average family income of students at Xavier University is about $114,000, which is 3x more than the national average of about $38,000. Xavier University ranks fourth in Ohio for the highest average family income.
Question 5.3
5.3 How does the cost of attending an Ohio ‘university’ compare to universities in states that border Ohio? What about universities nationally, not considering state?
sqldf("SELECT avg(COSTT4_A), STABBR from scorecard
WHERE STABBR like 'OH'
AND INST_TYPE like 'University'")## avg(COSTT4_A) STABBR
## 1 29586.76 OHsqldf("SELECT avg(COSTT4_A), STABBR from scorecard
WHERE BORDER like 'Yes'
AND INST_TYPE like 'University'
GROUP BY STABBR
ORDER BY avg(COSTT4_A) DESC")## avg(COSTT4_A) STABBR
## 1 33171.38 PA
## 2 32010.23 IN
## 3 30710.50 KY
## 4 29077.83 MI
## 5 21561.68 WVsqldf("SELECT avg(COSTT4_A), INST_TYPE from scorecard
WHERE INST_TYPE like 'University'")## avg(COSTT4_A) INST_TYPE
## 1 30049.84 UniversityIt cost almost exactly the same amount of money to attend a university in Ohio as it does to attend a university in Michigan and Kentucky. West Virginia is significiantly cheaper, and universities in Pennsylvania and Indiana are a little more costly. Ohio universities have about the same average cost of attendance as universities nationally.
Question 5.4
What schools have the highest and lowest percentage of undergraduate students receiving a Pell grant?
sqldf("SELECT INSTNM, PCTPELL from scorecard
WHERE PCTPELL = 1.00")## INSTNM PCTPELL
## 1 MTI Business College Inc 1
## 2 Mr Belas School of Cosmetology Inc 1
## 3 Southern School of Beauty Inc 1
## 4 Victoria Beauty College Inc 1
## 5 Central School of Practical Nursing 1
## 6 Virginia School of Hair Design 1
## 7 Instituto de Educacion Tecnica Ocupacional La Reine-Manati 1
## 8 Colegio Mayor de Tecnologia Inc 1
## 9 Liceo de Arte-Dise-O y Comercio 1
## 10 Nouvelle Institute 1
## 11 Professional Technical Institution Inc 1
## 12 Professional Beauty School 1
## 13 Yukon Beauty College Inc 1
## 14 College of Business and Technology-Miami Campus 1
## 15 Quality Technical and Beauty College 1
## 16 DMart Institute 1
## 17 Ailano School of Cosmetology 1
## 18 Merkaz Bnos-Business School 1
## 19 Trinity College of Puerto Rico 1
## 20 Vogue Beauty and Barber School 1
## 21 Franklin Career Institute 1
## 22 Dewey University-Bayamon 1
## 23 Century College 1
## 24 Monteclaro Escuela de Hoteleria y Artes Culinarias 1
## 25 MDT College of Health Sciences 1
## 26 International Training Careers 1
## 27 Dallas Barber & Stylist College 1
## 28 Cambridge Technical Institute 1
## 29 Expertise Cosmetology Institute 1
## 30 Industrial Technical College 1
## 31 Institute of Beauty Occupation and Technology Course 1
## 32 Rosslyn Training Academy of Cosmetology 1
## 33 Palladium Technical Academy Inc 1
## 34 College of Business and Technology-Main Campus 1
## 35 College of Business and Technology-Hialeah 1
## 36 College of Business and Technology-Cutler Bay 1
## 37 National Career Institute 1
## 38 Future-Tech Institute 1
## 39 American Technical Institute 1
## 40 Global Institute 1
## 41 Larrys Barber College 1
## 42 Belle Academy of Cosmetology 1
## 43 College of Business and Technology-Miami Gardens 1
## 44 New Beginnings Beauty Academy 1
## 45 Celebrity Barber School 1
## 46 Construction Training Center 1
## 47 DMost Beauty & Body Institute 1
## 48 Institute of Beauty Occupations and Technology Course-San Sebastian 1sqldf("SELECT INSTNM, PCTPELL from scorecard
WHERE PCTPELL = 0.00")## INSTNM PCTPELL
## 1 Bais Binyomin Academy 0
## 2 United States Coast Guard Academy 0
## 3 American Islamic College 0
## 4 Principia College 0
## 5 The Southern Baptist Theological Seminary 0
## 6 New Orleans Baptist Theological Seminary 0
## 7 United States Naval Academy 0
## 8 MGH Institute of Health Professions 0
## 9 Saint Johns Seminary 0
## 10 Hillsdale College 0
## 11 Assumption College for Sisters 0
## 12 Saint Francis Medical Center School of Nursing 0
## 13 Southeastern Baptist Theological Seminary 0
## 14 Athenaeum of Ohio 0
## 15 University of Oklahoma-Health Sciences Center 0
## 16 American College of Financial Services 0
## 17 Bidwell Training Center Inc 0
## 18 Gratz College 0
## 19 Grove City College 0
## 20 Washington Hospital School of Radiologic Technology 0
## 21 Avera McKennan Hospital School of Radiologic Technology 0
## 22 Avera Sacred Heart Hospital 0
## 23 Sanford Medical Center 0
## 24 Pentecostal Theological Seminary 0
## 25 Ecumenical Theological Seminary 0
## 26 HSHS St. Johns Hospital School of Clinical Laboratory Science 0
## 27 Pike County Joint Vocational School District 0
## 28 Howell Cheney THS/CT Aero Tech School 0
## 29 Forbes Road Career and Technology Center 0
## 30 Bristol Technical Education Center 0
## 31 Mitchell Cosmetology College 0
## 32 Atlantic Institute of Oriental Medicine 0
## 33 National Graduate School of Quality Management 0
## 34 Faith International University 0
## 35 Mid City College 0
## 36 W L Bonner College 0
## 37 Taft University System 0
## 38 Focus-Hope Information Technologies Center 0
## 39 Stratford School of Aviation Maintenance Technicians 0
## 40 Mauna Loa Helicopters 0
## 41 Relay Graduate School of Education 0
## 42 Brand College 0
## 43 American Academy of Personal Training 0
## 44 Lynnes Welding Training 0
## 45 IGlobal University 0
## 46 Montessori Education Institute of the Pacific Northwest 0
## 47 Unilatina International College 0
## 48 The Training Domain 0
## 49 American Academy of Personal Training-Boston Campus 0
## 50 Regional Center for Border Health 0
## 51 Martinsburg College 0
## 52 Abraham Lincoln University 0
## 53 Northeast Lakeview College 0
## 54 U.S. Truck Driver Training School 0
## 55 South Dade Technical College-South Dade Skills Center Campus 0
## 56 Caribbean Aviation Training Institute Inc 0
## 57 Southern States University 0
## 58 Gadsden Technical Institute 0
## 59 Westcliff University 0
## 60 Elite Institute of Cosmetology 0
## 61 MAK Beauty Institute 0
## 62 Reformed University 0
## 63 Mobile Technical Training 0
## 64 California Institute of Arts & Technology 0
## 65 Elyon College 0
## 66 Digital Media Institute at InterTech 0
## 67 Allgood Beauty Institute 0
## 68 Cincinnati School of Barbering & Hair Design Inc 0
## 69 L Makeup Institute 0
## 70 Yeshiva Kollel Tifereth Elizer 0
## 71 Unlimited Cosmetology School 0
## 72 Johnny Matthews Hairdressing Training School 0
## 73 University of Wisconsin-Parkside Flex 0
## 74 University of Wisconsin Colleges Flex 0The first list of schools are the schools where 100%, or every single undergraduate is receiving the Pell grant. The second list of schools have 0%, or none of their undergraduate students receiving the Pell grant. The sqldf package was used to find institutions with the most (100%), and the least (0%).
Question 6.1
6.1 Compare the average cost of attendance across the number of undergraduates, the percent of students receiving a Pell grant, the average faculty salary and the average family income in whatever way you choose. If one of these variables was classified as a ‘dependent’ variable, which would you say it is and how would you evaluate the effect of the other variables on your dependent variable?
ggplot(data = scorecard) +
geom_smooth(mapping = aes(x = COSTT4_A, y = AVGFACSAL)) + ggtitle("Cost of Attendance vs Average Faculty Salary") + scale_y_continuous(name = "Average Faculty Salary", labels = scales::dollar) + scale_x_continuous("Cost of Attendance", labels = scales::dollar)
ggplot(data = scorecard) +
geom_point(mapping = aes(x = FAMINC, y = PCTPELL, color = COSTT4_A)) + ggtitle("Family Income vs Pell Grant") + scale_y_continuous(name = "Pell Grant Percentage") + scale_x_continuous("Average Family Income", labels = scales::dollar)
If one of these variables was dependent, I would say it is average faculty salary. I think that is dependent because it is the only variable that can be effected by all of the others. Specifically for private institutions, an institution is more likely to increase or have a higher starting salary for faculty if their cost of attendance is higher. If an institution has a higher percentage of students that receive the pell grant, that could indicate the students need more financial aid which might make the faculty salary lower. Lastly, institutions with students that have higher family incomes can afford to have higher tuition, which would make it more likely for faculty salary to increase.
Question 6.2
6.2 Compare the student populations of schools in heavily urbanized areas with those in very rural areas. Keep in mind, the type of school varies considerably by urban and rural areas. Do your best to control for this bias with the variables you have available to focus on differences within the populations of urban and rural schools and NOT the differences between the type of school.
If you were to evaluate the results of your initial findings using a form of statistical inference, what form would it take and how would you pursue it?
ggplot(data = scorecard) +
geom_point(mapping = aes(x = PCTFLOAN, y = FIRST_GEN, color = LOCALE)) +
facet_wrap(~ LOCALE, nrow = 4) + ggtitle("Student Loans vs First Gen by Area") + scale_y_continuous(name = "Percentage of First Gen Students") + scale_x_continuous("Percentage of Students with Loans")
The results show that the populations of schools in cities or more urbanized areas have a higher percentage of first generation students, and a higher percentage of students that have student loans. Student populations in more rural areas have less first generation students, and significantly less students have student loans. In this graph, the darkest blue represents the cities with the largest populations. The lightest blue represents the most rural remote area. To further evaluate these results, I will add another variable and run an ANOVA to see if there is a significant difference between the means.
Group1 <- c(scorecard$PCTFLOAN)
Group2 <- c(scorecard$FIRST_GEN)
Group3 <- c(scorecard$FAMINC)
Combined_Groups <- data.frame(cbind(Group1, Group2, Group3))
Stacked_Groups <- stack(Combined_Groups)
Anova_Results <- aov(values ~ ind, data = Stacked_Groups)
summary(Anova_Results)## Df Sum Sq Mean Sq F value Pr(>F)
## ind 2 6.354e+12 3.177e+12 16845 <2e-16 ***
## Residuals 18825 3.551e+12 1.886e+08
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 2517 observations deleted due to missingnessThe ANOVA results show that the p-value is less than the significance level of .05. I would reject my null hypothesis and conclude that not all of the means are equal. Since the means aren’t equal that means there could be a relationship between the average family income in urban or rural areas, and the amount of loans a first generation student needs in that population.
Question 6.3
- On average, do faculty members make higher salaries at public HBCU’s than at public PWI’s?
- I will compare the average faculty salary at public institutions, and group them by if the institution is an HBCU (=1) or a PWI (=0).
scorecard%>%
filter(CONTROL %in% c('1'))%>%
group_by(HBCU)%>%
summarise(AVGFACSAL = mean(AVGFACSAL, na.rm = TRUE))%>%
ggplot(aes(x = HBCU, y = AVGFACSAL, fill = HBCU)) + geom_bar(stat= "identity") + ggtitle("Public Institution Average Faculty Salary") + scale_y_continuous(name = "Salary", labels = scales::dollar) +
scale_x_discrete(name = "Institution")
4. The results show that the average faculty salary at public PWI’s is higher than the average salary at HBCU’s.
- Since the averages are so close, I would want to calculate a confidence interval to see how likely it is that a faculty member will have a higher salaary at a PWI. The confidence interval result might be lower since the differences in salaries are not that big.
Question 6.4
- Which HBCU’s have the student population with the highest average family income? Are any of them in Ohio?
- I will compare the average faculty salary at HBCU’s and PWI’s, and group them by if the institution is an HBCU (=1) or a PWI (=0).
scorecard%>%
filter(HBCU %in% c('1'), FAMINC > 50000)%>%
group_by(INSTNM)%>%
arrange(desc(FAMINC))%>%
ggplot(aes(x = INSTNM, y = FAMINC, fill = STABBR)) + geom_bar(stat= "identity") + theme(axis.text.x = element_text(angle = 45, hjust = 1)) + coord_flip() + ggtitle("HBCU's With The Highest Family Incomes") + scale_y_continuous(name = "Average Family Income", labels = scales::dollar) +
scale_x_discrete(name = "Institution")
4. The results show that ammong HBCU’s, Hampton University has the student population with the highest average family income of about $72,000. Hampton is located in Virginia. None of the other HBCU’s with an average family income of more than $50,000 are located in Ohio.
- If I were to investigate this, I would try to see how much financial aid they receive at these schools compared to others. I might run a t-test between the average family income and the cost of attendance by to see if there is a difference in how much the students are paying at schools with higher family incomes.