library(tidyverse)
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library(tidyr)
library(ggplot2)
library(pastecs)
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library(readxl)
Quant_Data_Set <- read_excel("C:/Users/carmo/Downloads/Quant Data Set.xlsx")
View(Quant_Data_Set)

I start by removing the any values listed as “N/A”

Clean_Data <- drop_na(Quant_Data_Set)

After removing the “N/A” values, I run a pairs function for the entire dataset in order to easily visualize postivie or negative correlations amongst all variables in the dataset.

pairs(Clean_Data)

I do notice many postive correlations in this data set. However, most of them are specific to funding. For instance, there is a positive correlation to between the Overall Funding a community receives and the a bucket of funding within that overall bucket. As my topic is specific to understanding the relationship between funding and the rate of homelessness, I chose to view the correlation of the two. As both of the varaibles are not normal, I ran a log to both and used that log value before running cor and pairs.

Clean_Pairs_Data <- Clean_Data %>% select(`Total Amount Awarded`, `Overall Homeless`)

Clean_Log <- log(Clean_Pairs_Data)

cor(Clean_Log)
##                      Total Amount Awarded Overall Homeless
## Total Amount Awarded            1.0000000        0.6914389
## Overall Homeless                0.6914389        1.0000000
pairs(Clean_Log)

cor(Clean_Log, method = 'spearman')
##                      Total Amount Awarded Overall Homeless
## Total Amount Awarded            1.0000000        0.6878916
## Overall Homeless                0.6878916        1.0000000
cor(Clean_Log, method = 'kendall')
##                      Total Amount Awarded Overall Homeless
## Total Amount Awarded            1.0000000        0.5004718
## Overall Homeless                0.5004718        1.0000000

In looking at the three correlations, it determines that is a positive correlation between the Total Amount of Funding a community receives and the Overall Homelessness in that community. Basically, it is saying, that for unit of funding awarded, there is .069 units of homelessness.