From 15ce74ebe49b1771a4a03f1d9af9e58859eb8b35 Mon Sep 17 00:00:00 2001 From: superhugebetformiladze Date: Wed, 29 Nov 2023 19:56:50 +0400 Subject: [PATCH] simonov_nikita_lab5 --- simonov_nikita_lab_5/lab5.py | 63 + simonov_nikita_lab_5/readme.md | 134 + simonov_nikita_lab_5/result.png | Bin 0 -> 106238 bytes simonov_nikita_lab_5/train_bikes.csv | 10887 +++++++++++++++++++++++++ 4 files changed, 11084 insertions(+) create mode 100644 simonov_nikita_lab_5/lab5.py create mode 100644 simonov_nikita_lab_5/readme.md create mode 100644 simonov_nikita_lab_5/result.png create mode 100644 simonov_nikita_lab_5/train_bikes.csv diff --git a/simonov_nikita_lab_5/lab5.py b/simonov_nikita_lab_5/lab5.py new file mode 100644 index 0000000..c9124ec --- /dev/null +++ b/simonov_nikita_lab_5/lab5.py @@ -0,0 +1,63 @@ +import pandas as pd +from sklearn.linear_model import LinearRegression +from sklearn.model_selection import train_test_split +from sklearn.metrics import r2_score, mean_squared_error +import matplotlib.pyplot as plt +import numpy as np +import math +from sklearn.impute import SimpleImputer + +# Загрузка данных +df = pd.read_csv('train_bikes.csv').dropna() + +# Определение признаков (X) и целевой переменной (y) +X = df[['humidity', 'windspeed']] +y = df['count'] + +# Обработка пропущенных значений с использованием SimpleImputer +imputer = SimpleImputer(strategy='mean') +X = imputer.fit_transform(X) + +# Разделение данных на обучающий, валидационный и тестовый наборы +X_train, X_temp, y_train, y_temp = train_test_split(X, y, test_size=0.4, random_state=0) +X_val, X_test, y_val, y_test = train_test_split(X_temp, y_temp, test_size=0.5, random_state=0) + +# Создание и обучение модели линейной регрессии +linear_model = LinearRegression() +linear_model.fit(X_train, y_train) + +# Вывод коэффициентов и пересечения +print(f'Коэффициенты линейной регрессии: {linear_model.coef_}') +print(f'Пересечение линейной регрессии: {linear_model.intercept_}') + +# Предсказание значений на тестовом наборе +y_pred = linear_model.predict(X_test) + +# Оценка модели +train_score = linear_model.score(X_train, y_train) +val_score = linear_model.score(X_val, y_val) +test_score = linear_model.score(X_test, y_test) + +print(f'R^2 на обучающем наборе: {train_score}') +print(f'R^2 на валидационном наборе: {val_score}') +print(f'R^2 на тестовом наборе: {test_score}') + +# Оценка качества предсказаний +MSE = mean_squared_error(y_test, y_pred) +RMSE = math.sqrt(MSE) +print(f'Среднеквадратичная ошибка: {MSE}') +print(f'Корень из среднеквадратичной ошибки: {RMSE}') + +# Применение стиля графика +plt.style.use(['dark_background']) + +# Визуализация предсказаний +plt.figure(figsize=(8, 6), dpi=80) +plt.scatter(y_test, y_pred, alpha=0.2, color='red') +m, b = np.polyfit(y_test, y_pred, 1) +plt.plot(y_test, m * y_test + b, color='yellow') +plt.xlabel('Фактическое значение (тестовый набор)', fontsize=14) +plt.ylabel('Предсказанное значение (тестовый набор)', fontsize=14) +plt.title('Линейная регрессия: предсказанные и фактические значения (тестовый набор)', fontsize=16) +plt.grid(linewidth=0.5) +plt.show() diff --git a/simonov_nikita_lab_5/readme.md b/simonov_nikita_lab_5/readme.md new file mode 100644 index 0000000..1d6cafb --- /dev/null +++ b/simonov_nikita_lab_5/readme.md @@ -0,0 +1,134 @@ +# Лабораторная работа №5 Вариант 25. + +## Задание + +Общее задание: Использовать линейную регрессию, самостоятельно сформулировав задачу. + +Задача регрессии: Как влажность (Humidity) и скорость ветра (windspeed) влияют на количество арендованных велосипедов? + +Ссылка на набор даных: [kaggle-bike-sharing-system](https://www.kaggle.com/datasets/itssuru/bike-sharing-system-washington-dc/?select=train_bikes.csv) + +## Содержание +- [Лабораторная работа №5 Вариант 25.](#лабораторная-работа-5-вариант-25) + - [Задание](#задание) + - [Содержание](#содержание) + - [Введение](#введение) + - [Зависимости](#зависимости) + - [Запуск приложения](#запуск-приложения) + - [Описание кода](#описание-кода) + - [Заключение](#заключение) + - [Оценка работы моделей](#оценка-работы-моделей) + - [На основе анализа можно сделать следующие выводы:](#на-основе-анализа-можно-сделать-следующие-выводы) + - [Общий вывод](#общий-вывод) + +## Введение + +Данный код демонстрирует, использование линейной регрессии для анализа влияния влажности (humidity) и скорости ветра (windspeed) на количество арендованных велосипедов. + +## Зависимости + +Для работы этого приложения необходимы следующие библиотеки Python: + +- pandas +- scikit-learn +- NumPy +- Matplotlib + +Вы можете установить их с помощью pip: + +```bash +pip install numpy scikit-learn pandas matplotlib +``` + +## Запуск приложения + +Чтобы запустить эту программу, выполните следующую команду: + +```bash +python lab5.py +``` +Откроется визуализация данных и в консоль выведется резудьтат. + +## Описание кода + +- Используется библиотека `pandas` для чтения данных из файла `train_bikes.csv`, пропущенные значения удаляются из набора данных. + +- Выделяются признаки `humidity` и `windspeed` и целевая переменная `count`. + +- Используется `SimpleImputer` для замены пропущенных значений средними значениями. + +- Данные разделяются на обучающий, валидационный и тестовый наборы с использованием `train_test_split`. + +```python +X_train, X_temp, y_train, y_temp = train_test_split(X, y, test_size=0.4, random_state=0) +X_val, X_test, y_val, y_test = train_test_split(X_temp, y_temp, test_size=0.5, random_state=0) +``` + +- Инициализируется и обучается модель линейной регрессии на обучающем наборе. + +```python +linear_model = LinearRegression() +linear_model.fit(X_train, y_train) +``` + +- Выводятся коэффициенты и пересечение линейной регрессии. + +```python +print(f'Коэффициенты линейной регрессии: {linear_model.coef_}') +print(f'Пересечение линейной регрессии: {linear_model.intercept_}') +``` + +- Модель применяется для предсказания значений на тестовом наборе. + +```python +y_pred = linear_model.predict(X_test) +``` + +- Вычисляются R^2 на обучающем, валидационном и тестовом наборах. Вычисляется среднеквадратичная ошибка (MSE) и корень из среднеквадратичной ошибки (RMSE). + +```python +train_score = linear_model.score(X_train, y_train) +val_score = linear_model.score(X_val, y_val) +test_score = linear_model.score(X_test, y_test) + +MSE = mean_squared_error(y_test, y_pred) +RMSE = math.sqrt(MSE) +``` + +- Визуализация предсказаний + +## Заключение + +### Оценка работы моделей + +```bash +Коэффициенты линейной регрессии: [-2.89204789 0.09562289] +Пересечение линейной регрессии: 368.16350038517544 +R^2 на обучающем наборе: 0.09485704260674943 +R^2 на валидационном наборе: 0.11424344387927587 +R^2 на тестовом наборе: 0.10376993874162632 +Среднеквадратичная ошибка: 28561.64598031308 +Корень из среднеквадратичной ошибки: 169.00191117355175 +``` + +![](result.png) + +### На основе анализа можно сделать следующие выводы: + +1. Коэффициенты линейной регрессии: + +- Влажность (humidity): Отрицательный коэффициент говорит о том, что уменьшение количества арендованных велосипедов связано с увеличением влажности. +- Скорость ветра (windspeed): Положительный коэффициент указывает на то, что увеличение количества арендованных велосипедов связано с увеличение скорости ветра. Однако, этот эффект малозначителен. + +1. Оценка модели: + +- R^2 (Коэффициент детерминации): Низкие значения R^2 (около 0.1) свидетельствуют о том, что выбранные признаки слабо объясняют изменение целевой переменной. +- Среднеквадратичная ошибка (MSE): Высокое значение MSE (28561.65) указывает на значительное расхождение между фактическими и предсказанными значениями. + +3. Визуализация: + +- График предсказанных и фактических значений показывает, что модель не идеально подходит под данные. Разброс предсказаний велик. + +### Общий вывод + +Модель линейной регрессии, основанная на влажности и скорости ветра, демонстрирует невысокую объясняющую способность (низкие значения R^2) и высокую среднеквадратичную ошибку. Это может свидетельствовать о том, что выбранные признаки недостаточно хорошо описывают зависимость от целевой переменной (количества арендованных велосипедов). 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00:00:00,3,0,1,1,28.7,32.575,61,12.998,8,52,60 +2012-08-15 01:00:00,3,0,1,1,28.7,32.575,61,0,6,31,37 +2012-08-15 02:00:00,3,0,1,1,27.88,31.82,65,0,1,7,8 +2012-08-15 03:00:00,3,0,1,1,27.06,31.06,74,7.0015,1,10,11 +2012-08-15 04:00:00,3,0,1,1,26.24,28.79,83,7.0015,0,4,4 +2012-08-15 05:00:00,3,0,1,1,26.24,29.545,78,7.0015,4,35,39 +2012-08-15 06:00:00,3,0,1,1,26.24,29.545,78,7.0015,12,160,172 +2012-08-15 07:00:00,3,0,1,2,27.06,31.06,69,12.998,25,467,492 +2012-08-15 08:00:00,3,0,1,2,28.7,32.575,65,19.0012,40,642,682 +2012-08-15 09:00:00,3,0,1,2,29.52,34.09,62,12.998,57,310,367 +2012-08-15 10:00:00,3,0,1,2,29.52,34.09,62,12.998,70,163,233 +2012-08-15 11:00:00,3,0,1,2,30.34,34.09,58,12.998,80,155,235 +2012-08-15 12:00:00,3,0,1,1,30.34,34.09,55,15.0013,77,230,307 +2012-08-15 13:00:00,3,0,1,2,31.98,35.605,49,12.998,88,206,294 +2012-08-15 14:00:00,3,0,1,2,31.16,34.85,52,19.9995,94,161,255 +2012-08-15 15:00:00,3,0,1,1,31.16,34.85,52,16.9979,70,196,266 +2012-08-15 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