Dataset

library(readxl)
district <- read_excel("district.xls")
library(tidyverse)

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library(pastecs)

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library(lmtest)

## Loading required package: zoo

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library(MASS)

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data_multiple <- lm(DA0CT21R  ~ DA0CSA21R + DPETECOP, data = district)

plot(data_multiple,which=1)

raintest(data_multiple)

## 
##  Rainbow test
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## data:  data_multiple
## Rain = 1.0444, df1 = 473, df2 = 469, p-value = 0.3189

library(car)

## Loading required package: carData

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durbinWatsonTest(data_multiple)

##  lag Autocorrelation D-W Statistic p-value
##    1      0.04991637      1.897388   0.118
##  Alternative hypothesis: rho != 0

plot(data_multiple,which=3)

bptest(data_multiple)

## 
##  studentized Breusch-Pagan test
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## data:  data_multiple
## BP = 76.387, df = 2, p-value < 2.2e-16

plot(data_multiple,which=2)

shapiro.test(data_multiple$residuals)

## 
##  Shapiro-Wilk normality test
## 
## data:  data_multiple$residuals
## W = 0.97447, p-value = 7.998e-12

vif(data_multiple)

## DA0CSA21R  DPETECOP 
##  1.042353  1.042353

```