# Cài và nạp thư viện
library(MASS)
# Nạp dữ liệu
data(Boston)
# Xem qua dữ liệu
head(Boston)
## crim zn indus chas nox rm age dis rad tax ptratio black lstat
## 1 0.00632 18 2.31 0 0.538 6.575 65.2 4.0900 1 296 15.3 396.90 4.98
## 2 0.02731 0 7.07 0 0.469 6.421 78.9 4.9671 2 242 17.8 396.90 9.14
## 3 0.02729 0 7.07 0 0.469 7.185 61.1 4.9671 2 242 17.8 392.83 4.03
## 4 0.03237 0 2.18 0 0.458 6.998 45.8 6.0622 3 222 18.7 394.63 2.94
## 5 0.06905 0 2.18 0 0.458 7.147 54.2 6.0622 3 222 18.7 396.90 5.33
## 6 0.02985 0 2.18 0 0.458 6.430 58.7 6.0622 3 222 18.7 394.12 5.21
## medv
## 1 24.0
## 2 21.6
## 3 34.7
## 4 33.4
## 5 36.2
## 6 28.7
# Xây dựng mô hình hồi quy tuyến tính
model_lm <- lm(medv ~ rm, data = Boston)
# Kết quả mô hình
summary(model_lm)
##
## Call:
## lm(formula = medv ~ rm, data = Boston)
##
## Residuals:
## Min 1Q Median 3Q Max
## -23.346 -2.547 0.090 2.986 39.433
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) -34.671 2.650 -13.08 <2e-16 ***
## rm 9.102 0.419 21.72 <2e-16 ***
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 6.616 on 504 degrees of freedom
## Multiple R-squared: 0.4835, Adjusted R-squared: 0.4825
## F-statistic: 471.8 on 1 and 504 DF, p-value: < 2.2e-16
# Lấy residuals
res <- residuals(model_lm)
# Histogram
hist(res, breaks = 20, main = "Histogram of Residuals")

# Q-Q plot
qqnorm(res)
qqline(res, col = "red")

library(ISLR)
data(Default)
str(Default)
## 'data.frame': 10000 obs. of 4 variables:
## $ default: Factor w/ 2 levels "No","Yes": 1 1 1 1 1 1 1 1 1 1 ...
## $ student: Factor w/ 2 levels "No","Yes": 1 2 1 1 1 2 1 2 1 1 ...
## $ balance: num 730 817 1074 529 786 ...
## $ income : num 44362 12106 31767 35704 38463 ...
model_logit <- glm(default ~ income + balance + student,
data = Default,
family = binomial)
summary(model_logit)
##
## Call:
## glm(formula = default ~ income + balance + student, family = binomial,
## data = Default)
##
## Coefficients:
## Estimate Std. Error z value Pr(>|z|)
## (Intercept) -1.087e+01 4.923e-01 -22.080 < 2e-16 ***
## income 3.033e-06 8.203e-06 0.370 0.71152
## balance 5.737e-03 2.319e-04 24.738 < 2e-16 ***
## studentYes -6.468e-01 2.363e-01 -2.738 0.00619 **
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## (Dispersion parameter for binomial family taken to be 1)
##
## Null deviance: 2920.6 on 9999 degrees of freedom
## Residual deviance: 1571.5 on 9996 degrees of freedom
## AIC: 1579.5
##
## Number of Fisher Scoring iterations: 8
exp(coef(model_logit))
## (Intercept) income balance studentYes
## 1.903854e-05 1.000003e+00 1.005753e+00 5.237317e-01