library(zoo)
## Warning: package 'zoo' was built under R version 4.5.3
##
## Attaching package: 'zoo'
## The following objects are masked from 'package:base':
##
## as.Date, as.Date.numeric
library(car)
## Warning: package 'car' was built under R version 4.5.3
## Loading required package: carData
library(nortest)
library(lmtest)
## Warning: package 'lmtest' was built under R version 4.5.3
library(ggplot2)
#memanggil data dan library
data=read.table(file.choose(), header=T)
data
## Y X1 X2 X3
## 1 57.5 78 2.75 29.5
## 2 52.8 69 2.15 26.3
## 3 61.3 77 4.41 32.2
## 4 67.0 88 5.52 36.5
## 5 53.5 67 3.21 27.2
## 6 62.7 80 4.32 27.7
## 7 56.2 74 2.31 28.3
## 8 68.5 94 4.30 30.3
## 9 69.2 102 3.71 28.7
#Scatter Plot Umur (Hari) terhadap Panjang Bayi (cm)
ggplot(data, aes(x = X1, y = Y)) +
geom_point(color = "purple4", size = 3) +
geom_smooth(method = "lm", color = "goldenrod2",
se = FALSE, linewidth = 1.3) +
scale_x_continuous(breaks = seq(65, 105, by = 5)) +
scale_y_continuous(breaks = seq(50, 70, by = 2)) +
labs(
title = "Scatter Plot Umur (Hari) terhadap Panjang Bayi (cm)",
x = "Umur (Hari)",
y = "Panjang Bayi (cm)"
) +
theme_minimal()
## `geom_smooth()` using formula = 'y ~ x'
#Scatter Plot Berat Badan (kg)terhadap Panjang Bayi (cm)
ggplot(data, aes(x = X2, y = Y)) +
geom_point(color = "purple4", size = 3) +
geom_smooth(method = "lm", color = "goldenrod2",
se = FALSE, linewidth = 1.3) +
scale_x_continuous(breaks = seq(2, 6, by = 0.5)) +
scale_y_continuous(breaks = seq(50, 70, by = 2)) +
labs(
title = "Scatter Plot Berat Badan (kg)terhadap Panjang Bayi (cm)",
x = "Berat Badan (kg)",
y = "Panjang Bayi(cm)"
) +
theme_minimal()
## `geom_smooth()` using formula = 'y ~ x'
#Scatter Plot Lingkar dada (cm) terhadap Panjang Bayi(cm)
ggplot(data, aes(x = X3, y = Y)) +
geom_point(color = "purple4", size = 3) +
geom_smooth(method = "lm", color = "goldenrod2",
se = FALSE, linewidth = 1.3) +
scale_x_continuous(breaks = seq(25, 40, by = 2)) +
scale_y_continuous(breaks = seq(50, 70, by = 2)) +
labs(
title = "Scatter Plot Lingkar dada (cm) terhadap Panjang Bayi(cm)",
x = "Lingkar dada (cm)",
y = "Panjang Bayi(cm)"
) +
theme_minimal()
## `geom_smooth()` using formula = 'y ~ x'
#regresi linier berganda
M4=lm(formula=Y~X1+X2+X3, data=data)
summary(M4)
##
## Call:
## lm(formula = Y ~ X1 + X2 + X3, data = data)
##
## Residuals:
## 1 2 3 4 5 6 7 8 9
## -0.2981 -0.2142 0.4714 -0.4746 -0.9524 0.4761 0.9274 0.7466 -0.6823
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) 21.87353 4.07389 5.369 0.00302 **
## X1 0.41277 0.03067 13.460 4.05e-05 ***
## X2 2.20267 0.47199 4.667 0.00550 **
## X3 -0.07895 0.15551 -0.508 0.63330
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 0.8484 on 5 degrees of freedom
## Multiple R-squared: 0.9888, Adjusted R-squared: 0.9821
## F-statistic: 147.1 on 3 and 5 DF, p-value: 2.696e-05
#uji multikollinearitas
vif(M4)
## X1 X2 X3
## 1.403219 3.093549 2.607991
#Pengujian Asumsi
#uji normalitas residual
shapiro.test(resid(M4))
##
## Shapiro-Wilk normality test
##
## data: resid(M4)
## W = 0.93208, p-value = 0.5014
#uji non-heteroskedastisitas
bptest(M4,varformula=~fitted.values(M4), studentize=F)
##
## Breusch-Pagan test
##
## data: M4
## BP = 0.031878, df = 1, p-value = 0.8583
#uji autokorelasi
dwtest(M4, alternative='two.sided')
##
## Durbin-Watson test
##
## data: M4
## DW = 1.6446, p-value = 0.233
## alternative hypothesis: true autocorrelation is not 0
#uji autokorelasi
bgtest(M4)
##
## Breusch-Godfrey test for serial correlation of order up to 1
##
## data: M4
## LM test = 0.51249, df = 1, p-value = 0.4741
#uji glejser
u4=resid(M4)
u4abs=abs(u4)
M4_abs=lm(formula=u4abs~X1+X2+X3, data=data)
summary(M4_abs)
##
## Call:
## lm(formula = u4abs ~ X1 + X2 + X3, data = data)
##
## Residuals:
## 1 2 3 4 5 6 7 8
## -0.24968 -0.37078 -0.06495 -0.01987 0.35744 -0.17650 0.37477 0.12608
## 9
## 0.02347
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) 1.000238 1.548904 0.646 0.547
## X1 0.002391 0.011660 0.205 0.846
## X2 0.035130 0.179452 0.196 0.853
## X3 -0.024936 0.059127 -0.422 0.691
##
## Residual standard error: 0.3226 on 5 degrees of freedom
## Multiple R-squared: 0.04467, Adjusted R-squared: -0.5285
## F-statistic: 0.07793 on 3 and 5 DF, p-value: 0.9692