rok <- 1995:2002
liczba_przypadkow <- c(39.7, 38.2, 34.7, 33.1, 30.1, 28.4, 26.3, 24.7)
data_set <- data.frame(rok = rok, liczba_przypadkow = liczba_przypadkow)
View(data_set)
plot(data_set, main = "Wykres rozrzutu", pch = 16)
model <- lm(liczba_przypadkow ~ rok, data = data_set)
model$coefficients
plot(data_set, main = "Wykres rozrzutu", pch = 16)
abline(model, col = "red", lwd = 2)
coef(model)
confint(model)
summary(model)
fitted(model)
residuals(model)
View(data_set)
temp_rok <- data.frame(rok = seq(min(data_set$rok) - 10,
max(data_set$rok) + 10,
length = 100))
pred <- stats::predict(model, temp_rok, interval = "prediction")
plot(data_set, main = "Wykres rozrzutu", pch = 16)
abline(model, col = "red", lwd = 2)
lines(temp_rok$rok, pred[, 2], lty = 2, col = "red")
lines(temp_rok$rok, pred[, 3], lty = 2, col = "red")
new_rok <- data.frame(rok = 2003:2007)
(pred_2003_2007 <- stats::predict(model, new_rok, interval = 'prediction'))
plot(data_set, main = "Wykres rozrzutu z predykcj� na lata 2003-2007", pch = 16,
xlim = c(1995, 2007), ylim = c(10, 40))
plot(data_set, main = "Wykres rozrzutu z predykcją na lata 2003-2007", pch = 16,
xlim = c(1995, 2007), ylim = c(10, 40))
abline(model, col = "red", lwd = 2)
points(2003:2007, pred_2003_2007[, 1], col = "blue", pch = 16)
temp_rok <- data.frame(rok = seq(1994, 2008, length = 100))
pred <- stats::predict(model, temp_rok, interval = "prediction")
lines(temp_rok$rok, pred[, 2], lty = 2, col = "red")
lines(temp_rok$rok, pred[, 3], lty = 2, col = "red")
View(temp_rok)
View(pred)
load(url("http://ls.home.amu.edu.pl/data_sets/braking.RData"))
load(url("http://ls.home.amu.edu.pl/data_sets/braking.RData"))
head(braking)
plot(braking, main = "Wykres rozrzutu", pch = 16)
View(braking)
which(braking$distance > 150)
model <- lm(distance ~ speed, data = braking)
plot(braking, main = "Wykres rozrzutu", pch = 16)
abline(model, col = "red", lwd = 2)
coef(model)
confint(model)
summary(model)
fitted(model)
residuals(model)
temp_speed <- data.frame(speed = seq(min(braking$speed) - 10,
max(braking$speed) + 10,
length = 100))
pred <- stats::predict(model, temp_speed, interval = "prediction")
plot(braking, main = "Wykres rozrzutu", pch = 16, ylim = c(-50, 200))
abline(model, col = "red", lwd = 2)
lines(temp_speed$speed, pred[, 2], lty = 2, col = "red")
lines(temp_speed$speed, pred[, 3], lty = 2, col = "red")
new_speed <- data.frame(speed = 30:50)
(pred_30_50 <- stats::predict(model, new_speed, interval = 'prediction'))
plot(braking, main = "Wykres rozrzutu z predykcj� dla pr�dko�ci 30, 31, ..., 50", pch = 16,
xlim = c(0, 50), ylim = c(-50, 200))
abline(model, col = "red", lwd = 2)
points(30:50, pred_30_50[, 1], col = "blue", pch = 16)
temp_speed <- data.frame(speed = seq(-5, 55, length = 100))
pred <- stats::predict(model, temp_speed, interval = "prediction")
lines(temp_speed$speed, pred[, 2], lty = 2, col = "red")
lines(temp_speed$speed, pred[, 3], lty = 2, col = "red")
model <- lm(distance ~ speed - 1, data = braking)
plot(braking, main = "Wykres rozrzutu", pch = 16)
abline(model, col = "red", lwd = 2)
coef(model)
confint(model)
summary(model)
temp_speed <- data.frame(speed = seq(min(braking$speed) - 10,
max(braking$speed) + 10,
length = 100))
pred <- stats::predict(model, temp_speed, interval = "prediction")
plot(braking, main = "Wykres rozrzutu", pch = 16, ylim = c(-50, 200))
abline(model, col = "red", lwd = 2)
lines(temp_speed$speed, pred[, 2], lty = 2, col = "red")
lines(temp_speed$speed, pred[, 3], lty = 2, col = "red")
new_speed <- data.frame(speed = 30:50)
(pred_30_50 <- stats::predict(model, new_speed, interval = 'prediction'))
plot(braking, main = "Wykres rozrzutu z predykcj� dla pr�dko�ci 30, 31, ..., 50", pch = 16,
xlim = c(0, 50), ylim = c(-50, 200))
abline(model, col = "red", lwd = 2)
points(30:50, pred_30_50[, 1], col = "blue", pch = 16)
temp_speed <- data.frame(speed = seq(-5, 55, length = 100))
pred <- stats::predict(model, temp_speed, interval = "prediction")
lines(temp_speed$speed, pred[, 2], lty = 2, col = "red")
lines(temp_speed$speed, pred[, 3], lty = 2, col = "red")
braking_1 <- braking[-27, ]
model_1 <- lm(distance ~ speed, data = braking_1)
plot(braking_1, main = "Wykres rozrzutu", pch = 16)
abline(model_1, col = "green", lwd = 2)
coef(model_1)
confint(model_1)
summary(model_1)
fitted(model_1)
residuals(model_1)
temp_speed_1 <- data.frame(speed = seq(min(braking_1$speed) - 10,
max(braking_1$speed) + 10,
length = 100))
pred_1 <- stats::predict(model_1, temp_speed_1, interval = "prediction")
plot(braking_1, main = "Wykres rozrzutu", pch = 16, ylim = c(-50, 120))
abline(model_1, col = "green", lwd = 2)
lines(temp_speed_1$speed, pred_1[, 2], lty = 2, col = "green")
lines(temp_speed_1$speed, pred_1[, 3], lty = 2, col = "green")
new_speed <- data.frame(speed = 30:50)
(pred_30_50_1 <- stats::predict(model_1, new_speed, interval = 'prediction'))
plot(braking_1, main = "Wykres rozrzutu z predykcj� dla pr�dko�ci 30, 31, ..., 50", pch = 16,
xlim = c(0, 50), ylim = c(-50, 200))
abline(model_1, col = "green", lwd = 2)
points(30:50, pred_30_50_1[, 1], col = "blue", pch = 16)
temp_speed <- data.frame(speed = seq(-5, 55, length = 100))
pred_1 <- stats::predict(model_1, temp_speed, interval = "prediction")
lines(temp_speed$speed, pred_1[, 2], lty = 2, col = "green")
lines(temp_speed$speed, pred_1[, 3], lty = 2, col = "green")
braking_1 <- braking[-27, ]
model_1 <- lm(distance ~ speed - 1, data = braking_1)
plot(braking_1, main = "Wykres rozrzutu", pch = 16)
abline(model_1, col = "green", lwd = 2)
coef(model_1)
confint(model_1)
summary(model_1)
fitted(model_1)
residuals(model_1)
braking_1 <- braking[-27, ]
model_1 <- lm(distance ~ speed - 1, data = braking_1)
plot(braking_1, main = "Wykres rozrzutu", pch = 16)
abline(model_1, col = "green", lwd = 2)
coef(model_1)
confint(model_1)
summary(model_1)
fitted(model_1)
residuals(model_1)
braking_1 <- braking[-27, ]
model_1 <- lm(distance ~ speed, data = braking_1)
plot(braking_1, main = "Wykres rozrzutu", pch = 16)
abline(model_1, col = "green", lwd = 2)
coef(model_1)
confint(model_1)
braking_1 <- braking[-27, ]
model_1 <- lm(distance ~ speed - 1, data = braking_1)
plot(braking_1, main = "Wykres rozrzutu", pch = 16)
abline(model_1, col = "green", lwd = 2)
coef(model_1)
confint(model_1)
summary(model_1)
fitted(model_1)
residuals(model_1)
temp_speed_1 <- data.frame(speed = seq(min(braking_1$speed) - 10,
max(braking_1$speed) + 10,
length = 100))
pred_1 <- stats::predict(model_1, temp_speed_1, interval = "prediction")
plot(braking_1, main = "Wykres rozrzutu", pch = 16, ylim = c(-50, 120))
abline(model_1, col = "green", lwd = 2)
lines(temp_speed_1$speed, pred_1[, 2], lty = 2, col = "green")
lines(temp_speed_1$speed, pred_1[, 3], lty = 2, col = "green")
new_speed <- data.frame(speed = 30:50)
(pred_30_50_1 <- stats::predict(model_1, new_speed, interval = 'prediction'))
plot(braking_1, main = "Wykres rozrzutu z predykcj� dla pr�dko�ci 30, 31, ..., 50", pch = 16,
xlim = c(0, 50), ylim = c(-50, 200))
abline(model_1, col = "green", lwd = 2)
points(30:50, pred_30_50_1[, 1], col = "blue", pch = 16)
temp_speed <- data.frame(speed = seq(-5, 55, length = 100))
pred_1 <- stats::predict(model_1, temp_speed, interval = "prediction")
lines(temp_speed$speed, pred_1[, 2], lty = 2, col = "green")
lines(temp_speed$speed, pred_1[, 3], lty = 2, col = "green")
summary(model_1)
braking_1 <- braking[-27, ]
model_1 <- lm(distance ~ speed, data = braking_1)
summary(model_1)
median(residuals(model_1))