A4Q2

library(readxl)
library(ggpubr)

## Loading required package: ggplot2

A4Q2 <- read_excel("/Users/tulsiheerekar/Downloads/A4Q2.xlsx")

ggscatter(
  A4Q2,
  x = "phone",
  y = "sleep",
  add = "reg.line",
  xlab = "phone",
  ylab = "sleep"
)

# The relationship is linear.

# The relationship is negitive.

# The relationship is moderate or strong.

# There are outliers.

mean(A4Q2$phone)

## [1] 3.804609

sd(A4Q2$phone)

## [1] 2.661866

median(A4Q2$phone)

## [1] 3.270839

mean(A4Q2$sleep)

## [1] 7.559076

sd(A4Q2$sleep)

## [1] 1.208797

median(A4Q2$sleep)

## [1] 7.524099

hist(A4Q2$phone,
     main = "sleep",
     breaks = 20,
     col = "lightblue",
     border = "white",
     cex.main = 1,
     cex.axis = 1,
     cex.lab = 1)

hist(A4Q2$sleep,
     main = "sleep",
     breaks = 20,
     col = "lightcoral",
     border = "white",
     cex.main = 1,
     cex.axis = 1,
     cex.lab = 1)

# "Variable 1: sleep"
# "The first variable looks abnormally distributed".
# "The data is negatively skewed".
# "The data  does not has a proper bell curve".

# "Variable 2: phone"
# "The second variable looks abnormally distributed".
# "The data is positively skewed".
# "The data does not has a proper bell curve".

shapiro.test(A4Q2$sleep)

## 
##  Shapiro-Wilk normality test
## 
## data:  A4Q2$sleep
## W = 0.91407, p-value = 8.964e-08

shapiro.test(A4Q2$phone)

## 
##  Shapiro-Wilk normality test
## 
## data:  A4Q2$phone
## W = 0.89755, p-value = 9.641e-09

# "Variable 1: sleep"
# "The first variable is abnormally distributed (p < .001) ".

# "Variable 2: phone"
# "The second variable is abnormally distributed (p < .001)".

#"since Both histograms are abnormal & both Shapiro-Wilk tests are abnormal,Use Spearman Correlation".

cor.test(A4Q2$sleep, A4Q2$phone, method = "spearman")

## 
##  Spearman's rank correlation rho
## 
## data:  A4Q2$sleep and A4Q2$phone
## S = 908390, p-value < 2.2e-16
## alternative hypothesis: true rho is not equal to 0
## sample estimates:
##        rho 
## -0.6149873

# "A spearman correlation was conducted to test the relationship between a spearman's phone (M =3.804609) and sleep (M = 7.559076)".
# "There was a statistically significant relationship between the two variables, p < .001".
# "The relationship was negative and strong".
# "As usage of phone increased, sleep decreased".