A5Q1

# Scatterplot
ggscatter(A5Q1,
          x = "age",
          y = "education",
          add = "reg.line",
          xlab = "age",
          ylab = "education")

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


# Descriptive statistics
mean(A5Q1$age)

## [1] 35.32634

sd(A5Q1$age)

## [1] 11.45344

median(A5Q1$age)

## [1] 35.79811

mean(A5Q1$education)

## [1] 13.82705

sd(A5Q1$education)

## [1] 2.595901

median(A5Q1$education)

## [1] 14.02915

# Histogram: Age
hist(A5Q1$age,
     main = "Age",
     breaks = 20,
     col = "lightblue",
     border = "white",
     cex.main = 1,
     cex.axis = 1,
     cex.lab = 1)

# Histogram: Education
hist(A5Q1$education,
     main = "Education",
     breaks = 20,
     col = "lightcoral",
     border = "white",
     cex.main = 1,
     cex.axis = 1,
     cex.lab = 1)

# Variable 1: Age
# The variable looks normally distributed.
# The data is symmetrical.
# The data has a proper bell curve.

# Variable 2: Education
# The variable looks normally distributed.
# The data is symmetrical.
# The data has a proper bell curve.


# Shapiro-Wilk normality tests
shapiro.test(A5Q1$age)

## 
##  Shapiro-Wilk normality test
## 
## data:  A5Q1$age
## W = 0.99194, p-value = 0.5581

shapiro.test(A5Q1$education)

## 
##  Shapiro-Wilk normality test
## 
## data:  A5Q1$education
## W = 0.9908, p-value = 0.4385

# Variable 1: Age
# The variable is normally distributed (p = .56).

# Variable 2: Education
# The variable is normally distributed (p = .44).


# Pearson correlation
cor.test(A5Q1$age, A5Q1$education, method = "pearson")

## 
##  Pearson's product-moment correlation
## 
## data:  A5Q1$age and A5Q1$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.

```