Week 4, Question 1

library(readxl)
library(ggpubr)

## Loading required package: ggplot2

A4Q1 <- read_excel("C:/Users/Jasmine/Desktop/AA521 Assignment 4/Question 1/A4Q1.xlsx")
View(A4Q1)

 ggscatter(
    A4Q1,
     x = "age",
     y = "education",
     add = "reg.line",
     xlab = "age",
     ylab = "education"
 )

#The relationship is linear.
#The relationship is positive.
#The relationship is moderate.
#There are no outliers.

mean(A4Q1$age)

## [1] 35.32634

sd(A4Q1$age)

## [1] 11.45344

median(A4Q1$age)

## [1] 35.79811

mean(A4Q1$education)

## [1] 13.82705

sd(A4Q1$education)

## [1] 2.595901

median(A4Q1$education)

## [1] 14.02915

hist(A4Q1$age,
     main = "age",
     breaks = 20,
     col = "lightblue",
     border = "white",
     cex.main = 1,
     cex.axis = 1,
     cex.lab = 1)

hist(A4Q1$education,
     main = "education",
     breaks = 20,
     col = "lightcoral",
     border = "white",
     cex.main = 1,
     cex.axis = 1,
     cex.lab = 1)

#Age is normally distributed. 
#Age is symmetrical. 
#Age has a proper bell curve.
#Education is normally distributed. 
#Education is symmetrical. 
#Education has a proper bell curve

shapiro.test(A4Q1$age)

## 
##  Shapiro-Wilk normality test
## 
## data:  A4Q1$age
## W = 0.99194, p-value = 0.5581

shapiro.test(A4Q1$education)

## 
##  Shapiro-Wilk normality test
## 
## data:  A4Q1$education
## W = 0.9908, p-value = 0.4385

# Age is normal p = 0.5581
# Education is normal p = 0.4385

cor.test(A4Q1$age,A4Q1$education,method="pearson")

## 
##  Pearson's product-moment correlation
## 
## data:  A4Q1$age and A4Q1$education
## t = 7.4066, df = 148, p-value = 9.113e-12
## alternative hypothesis: true correlation is not equal to 0
## 95 percent confidence interval:
##  0.3924728 0.6279534
## sample estimates:
##       cor 
## 0.5200256

#A Pearson correlation was conducted to test the #relationship between age (M = 35.33, SD = 11.45) and #education (M = 13.83, SD = 2.60). There was a #statistically significant relationship between the two #variables, r(148) = .52, p < .001. The relationship #was positive and strong. As age increased, education ?#increased.