#Câu 1

model_1 <- lm(hp ~ wt + qsec, data = mtcars)
(mtcars)
##                      mpg cyl  disp  hp drat    wt  qsec vs am gear carb
## Mazda RX4           21.0   6 160.0 110 3.90 2.620 16.46  0  1    4    4
## Mazda RX4 Wag       21.0   6 160.0 110 3.90 2.875 17.02  0  1    4    4
## Datsun 710          22.8   4 108.0  93 3.85 2.320 18.61  1  1    4    1
## Hornet 4 Drive      21.4   6 258.0 110 3.08 3.215 19.44  1  0    3    1
## Hornet Sportabout   18.7   8 360.0 175 3.15 3.440 17.02  0  0    3    2
## Valiant             18.1   6 225.0 105 2.76 3.460 20.22  1  0    3    1
## Duster 360          14.3   8 360.0 245 3.21 3.570 15.84  0  0    3    4
## Merc 240D           24.4   4 146.7  62 3.69 3.190 20.00  1  0    4    2
## Merc 230            22.8   4 140.8  95 3.92 3.150 22.90  1  0    4    2
## Merc 280            19.2   6 167.6 123 3.92 3.440 18.30  1  0    4    4
## Merc 280C           17.8   6 167.6 123 3.92 3.440 18.90  1  0    4    4
## Merc 450SE          16.4   8 275.8 180 3.07 4.070 17.40  0  0    3    3
## Merc 450SL          17.3   8 275.8 180 3.07 3.730 17.60  0  0    3    3
## Merc 450SLC         15.2   8 275.8 180 3.07 3.780 18.00  0  0    3    3
## Cadillac Fleetwood  10.4   8 472.0 205 2.93 5.250 17.98  0  0    3    4
## Lincoln Continental 10.4   8 460.0 215 3.00 5.424 17.82  0  0    3    4
## Chrysler Imperial   14.7   8 440.0 230 3.23 5.345 17.42  0  0    3    4
## Fiat 128            32.4   4  78.7  66 4.08 2.200 19.47  1  1    4    1
## Honda Civic         30.4   4  75.7  52 4.93 1.615 18.52  1  1    4    2
## Toyota Corolla      33.9   4  71.1  65 4.22 1.835 19.90  1  1    4    1
## Toyota Corona       21.5   4 120.1  97 3.70 2.465 20.01  1  0    3    1
## Dodge Challenger    15.5   8 318.0 150 2.76 3.520 16.87  0  0    3    2
## AMC Javelin         15.2   8 304.0 150 3.15 3.435 17.30  0  0    3    2
## Camaro Z28          13.3   8 350.0 245 3.73 3.840 15.41  0  0    3    4
## Pontiac Firebird    19.2   8 400.0 175 3.08 3.845 17.05  0  0    3    2
## Fiat X1-9           27.3   4  79.0  66 4.08 1.935 18.90  1  1    4    1
## Porsche 914-2       26.0   4 120.3  91 4.43 2.140 16.70  0  1    5    2
## Lotus Europa        30.4   4  95.1 113 3.77 1.513 16.90  1  1    5    2
## Ford Pantera L      15.8   8 351.0 264 4.22 3.170 14.50  0  1    5    4
## Ferrari Dino        19.7   6 145.0 175 3.62 2.770 15.50  0  1    5    6
## Maserati Bora       15.0   8 301.0 335 3.54 3.570 14.60  0  1    5    8
## Volvo 142E          21.4   4 121.0 109 4.11 2.780 18.60  1  1    4    2
summary(model_1)
## 
## Call:
## lm(formula = hp ~ wt + qsec, data = mtcars)
## 
## Residuals:
##     Min      1Q  Median      3Q     Max 
## -46.192 -17.334  -4.859  11.234  98.410 
## 
## Coefficients:
##             Estimate Std. Error t value Pr(>|t|)    
## (Intercept)  441.263     64.639   6.827 1.70e-07 ***
## wt            38.670      5.957   6.492 4.17e-07 ***
## qsec         -23.474      3.262  -7.197 6.36e-08 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 31.95 on 29 degrees of freedom
## Multiple R-squared:  0.7968, Adjusted R-squared:  0.7828 
## F-statistic: 56.87 on 2 and 29 DF,  p-value: 9.205e-11
rmse_1 <- sqrt(mean(model_1$residuals^2))

cat("RMSE của mô hình hồi quy tuyến tính:", round(rmse_1, 40))
## RMSE của mô hình hồi quy tuyến tính: 30.41767

#Câu 2

library(nnet)
set.seed(42)
sample_index <- sample(1:nrow(iris), size = 0.7 * nrow(iris))

train_data <- iris[sample_index, ]
test_data  <- iris[-sample_index, ]

#trace = FALSE: ẩn các dòng log tối ưu hóa của mô hình
model_2 <- multinom(Species ~ Sepal.Length + Sepal.Width + Petal.Length + Petal.Width, 
                    data = train_data, 
                    trace = FALSE)

predictions <- predict(model_2, newdata = test_data)

accuracy <- sum(predictions == test_data$Species) / nrow(test_data)

cat("Accuracy trên tập Test:", round(accuracy * 100, 2), "%\n")
## Accuracy trên tập Test: 97.78 %
table(Dự_đoán = predictions, Thực_tế = test_data$Species)
##             Thực_tế
## Dự_đoán  setosa versicolor virginica
##   setosa         12          0         0
##   versicolor      0         15         1
##   virginica       0          0        17