Homework 3

library(magrittr)
library(tidyverse)

## ── Attaching core tidyverse packages ──────────────────────── tidyverse 2.0.0 ──
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## ✔ purrr     1.0.2     
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## ℹ Use the conflicted package (<http://conflicted.r-lib.org/>) to force all conflicts to become errors

# read files --------------------------------------------------------------
library(readxl)
district <- read_excel("district.xls")

# Create New Data Frame ---------------------------------------------------
new_data_frame = district %>% select(DISTNAME,DPETSPEP,DPFPASPEP)

# Summary -----------------------------------------------------------------
summary(new_data_frame$DPETSPEP)

##    Min. 1st Qu.  Median    Mean 3rd Qu.    Max. 
##    0.00    9.90   12.10   12.27   14.20   51.70

summary(new_data_frame$DPFPASPEP)

##    Min. 1st Qu.  Median    Mean 3rd Qu.    Max.    NA's 
##   0.000   5.800   8.900   9.711  12.500  49.000       5

# Cleaning Data -----------------------------------------------------------
# "DPFPASPEP" (money spent on special education) has zeros 5 NA's
new_data_frame_cleaned=new_data_frame%>%filter(!is.na(DPFPASPEP))

#length of the new cleaned data frame for money spent on special education:
length(new_data_frame_cleaned$DPFPASPEP)

## [1] 1202

# Creating a Point Graph
ggplot(new_data_frame_cleaned,aes(DPETSPEP,DPFPASPEP))+geom_point()

Looking at the point graph,there seems to be a slight (weak) positive correlation between the % of special education and the $ spent on special education. When you calculate the correlation mathmetically, this is proven with the correlation being aroung 37% (weak correlation).

# Mathmatically calculating the correlation
cor(new_data_frame_cleaned$DPETSPEP,new_data_frame_cleaned$DPFPASPEP)

## [1] 0.3700234