"
],
"text/plain": [
" ENGINESIZE CYLINDERS FUELCONSUMPTION_COMB CO2EMISSIONS\n",
"0 2.0 4 8.5 196\n",
"1 2.4 4 9.6 221\n",
"2 1.5 4 5.9 136\n",
"3 3.5 6 11.1 255\n",
"4 3.5 6 10.6 244\n",
"5 3.5 6 10.0 230\n",
"6 3.5 6 10.1 232\n",
"7 3.7 6 11.1 255\n",
"8 3.7 6 11.6 267"
]
},
"execution_count": 13,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"cdf = df[['ENGINESIZE','CYLINDERS','FUELCONSUMPTION_COMB','CO2EMISSIONS']]\n",
"cdf.head(9)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We can plot each of these features:\n"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {
"tags": []
},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"viz = cdf[['CYLINDERS','ENGINESIZE','CO2EMISSIONS','FUELCONSUMPTION_COMB']]\n",
"viz.hist()\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Now, let's plot each of these features against the Emission, to see how linear their relationship is:\n"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {
"tags": []
},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.scatter(cdf.FUELCONSUMPTION_COMB, cdf.CO2EMISSIONS, color='green')\n",
"plt.xlabel(\"FUELCONSUMPTION_COMB\")\n",
"plt.ylabel(\"Emission\")\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {
"tags": []
},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.scatter(cdf.ENGINESIZE, cdf.CO2EMISSIONS, color='navy')\n",
"plt.xlabel(\"Engine size\")\n",
"plt.ylabel(\"Emission\")\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Practice\n",
"Plot __CYLINDER__ vs the Emission, to see how linear is their relationship is:\n"
]
},
{
"cell_type": "code",
"execution_count": 23,
"metadata": {
"tags": []
},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# write your code here\n",
"plt.scatter(cdf.CYLINDERS, cdf.CO2EMISSIONS, color='purple')\n",
"plt.xlabel(\"Cylinders\")\n",
"plt.ylabel(\"Emission\")\n",
"plt.show()\n",
"\n",
"\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Click here for the solution\n",
"\n",
"```python \n",
"plt.scatter(cdf.CYLINDERS, cdf.CO2EMISSIONS, color='blue')\n",
"plt.xlabel(\"Cylinders\")\n",
"plt.ylabel(\"Emission\")\n",
"plt.show()\n",
"\n",
"```\n",
"\n",
"\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Creating train and test dataset\n",
"Train/Test Split involves splitting the dataset into training and testing sets that are mutually exclusive. After which, you train with the training set and test with the testing set. \n",
"This will provide a more accurate evaluation on out-of-sample accuracy because the testing dataset is not part of the dataset that have been used to train the model. Therefore, it gives us a better understanding of how well our model generalizes on new data.\n",
"\n",
"This means that we know the outcome of each data point in the testing dataset, making it great to test with! Since this data has not been used to train the model, the model has no knowledge of the outcome of these data points. So, in essence, it is truly an out-of-sample testing.\n",
"\n",
"Let's split our dataset into train and test sets. 80% of the entire dataset will be used for training and 20% for testing. We create a mask to select random rows using __np.random.rand()__ function: \n"
]
},
{
"cell_type": "code",
"execution_count": 24,
"metadata": {
"tags": []
},
"outputs": [],
"source": [
"msk = np.random.rand(len(df)) < 0.8\n",
"train = cdf[msk]\n",
"test = cdf[~msk]"
]
},
{
"cell_type": "markdown",
"metadata": {
"tags": []
},
"source": [
"### Simple Regression Model\n",
"Linear Regression fits a linear model with coefficients B = (B1, ..., Bn) to minimize the 'residual sum of squares' between the actual value y in the dataset, and the predicted value yhat using linear approximation. \n"
]
},
{
"cell_type": "markdown",
"metadata": {
"tags": []
},
"source": [
"#### Train data distribution\n"
]
},
{
"cell_type": "code",
"execution_count": 26,
"metadata": {
"tags": []
},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.scatter(train.ENGINESIZE, train.CO2EMISSIONS, color='red')\n",
"plt.xlabel(\"Engine size\")\n",
"plt.ylabel(\"Emission\")\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Modeling\n",
"Using sklearn package to model data.\n"
]
},
{
"cell_type": "code",
"execution_count": 30,
"metadata": {
"tags": []
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Coefficients: [[39.22675497]]\n",
"Intercept: [125.2607308]\n"
]
}
],
"source": [
"from sklearn import linear_model\n",
"regr = linear_model.LinearRegression()\n",
"train_x = np.asanyarray(train[['ENGINESIZE']])\n",
"train_y = np.asanyarray(train[['CO2EMISSIONS']])\n",
"regr.fit(train_x, train_y)\n",
"# The coefficients\n",
"print ('Coefficients: ', regr.coef_)\n",
"print ('Intercept: ',regr.intercept_)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"As mentioned before, __Coefficient__ and __Intercept__ in the simple linear regression, are the parameters of the fit line. \n",
"Given that it is a simple linear regression, with only 2 parameters, and knowing that the parameters are the intercept and slope of the line, sklearn can estimate them directly from our data. \n",
"Notice that all of the data must be available to traverse and calculate the parameters.\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Plot outputs\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We can plot the fit line over the data:\n"
]
},
{
"cell_type": "code",
"execution_count": 31,
"metadata": {
"tags": []
},
"outputs": [
{
"data": {
"text/plain": [
"Text(0, 0.5, 'Emission')"
]
},
"execution_count": 31,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.scatter(train.ENGINESIZE, train.CO2EMISSIONS, color='green')\n",
"plt.plot(train_x, regr.coef_[0][0]*train_x + regr.intercept_[0], '-r')\n",
"plt.xlabel(\"Engine size\")\n",
"plt.ylabel(\"Emission\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Evaluation\n",
"We compare the actual values and predicted values to calculate the accuracy of a regression model. Evaluation metrics provide a key role in the development of a model, as it provides insight to areas that require improvement.\n",
"\n",
"There are different model evaluation metrics, lets use MSE here to calculate the accuracy of our model based on the test set: \n",
"* Mean Absolute Error: It is the mean of the absolute value of the errors. This is the easiest of the metrics to understand since it’s just average error.\n",
"\n",
"* Mean Squared Error (MSE): Mean Squared Error (MSE) is the mean of the squared error. It’s more popular than Mean Absolute Error because the focus is geared more towards large errors. This is due to the squared term exponentially increasing larger errors in comparison to smaller ones.\n",
"\n",
"* Root Mean Squared Error (RMSE). \n",
"\n",
"* R-squared is not an error, but rather a popular metric to measure the performance of your regression model. It represents how close the data points are to the fitted regression line. The higher the R-squared value, the better the model fits your data. The best possible score is 1.0 and it can be negative (because the model can be arbitrarily worse).\n"
]
},
{
"cell_type": "code",
"execution_count": 32,
"metadata": {
"tags": []
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Mean absolute error: 23.07\n",
"Residual sum of squares (MSE): 905.55\n",
"R2-score: 0.75\n"
]
}
],
"source": [
"from sklearn.metrics import r2_score\n",
"\n",
"test_x = np.asanyarray(test[['ENGINESIZE']])\n",
"test_y = np.asanyarray(test[['CO2EMISSIONS']])\n",
"test_y_ = regr.predict(test_x)\n",
"\n",
"print(\"Mean absolute error: %.2f\" % np.mean(np.absolute(test_y_ - test_y)))\n",
"print(\"Residual sum of squares (MSE): %.2f\" % np.mean((test_y_ - test_y) ** 2))\n",
"print(\"R2-score: %.2f\" % r2_score(test_y , test_y_) )"
]
},
{
"cell_type": "markdown",
"metadata": {
"tags": []
},
"source": [
"## Exercise\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Lets see what the evaluation metrics are if we trained a regression model using the `FUELCONSUMPTION_COMB` feature.\n",
"\n",
"Start by selecting `FUELCONSUMPTION_COMB` as the train_x data from the `train` dataframe, then select `FUELCONSUMPTION_COMB` as the test_x data from the `test` dataframe\n"
]
},
{
"cell_type": "code",
"execution_count": 33,
"metadata": {
"tags": []
},
"outputs": [],
"source": [
"train_x = train[[\"FUELCONSUMPTION_COMB\"]]\n",
"\n",
"test_x = test[[\"FUELCONSUMPTION_COMB\"]]"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Click here for the solution\n",
"\n",
"```python \n",
"train_x = train[[\"FUELCONSUMPTION_COMB\"]]\n",
"\n",
"test_x = test[[\"FUELCONSUMPTION_COMB\"]]\n",
"\n",
"```\n",
"\n",
"\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Now train a Linear Regression Model using the `train_x` you created and the `train_y` created previously\n"
]
},
{
"cell_type": "code",
"execution_count": 34,
"metadata": {
"tags": []
},
"outputs": [
{
"data": {
"text/plain": [
"LinearRegression(copy_X=True, fit_intercept=True, n_jobs=None,\n",
" normalize=False)"
]
},
"execution_count": 34,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"regr = linear_model.LinearRegression()\n",
"\n",
"regr.fit(train_x, train_y)\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Click here for the solution\n",
"\n",
"```python \n",
"regr = linear_model.LinearRegression()\n",
"\n",
"regr.fit(train_x, train_y)\n",
"\n",
"```\n",
"\n",
"\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Find the predictions using the model's `predict` function and the `test_x` data\n"
]
},
{
"cell_type": "code",
"execution_count": 35,
"metadata": {
"tags": []
},
"outputs": [],
"source": [
"predictions = regr.predict(test_x)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Click here for the solution\n",
"\n",
"```python \n",
"predictions = regr.predict(test_x)\n",
"\n",
"```\n",
"\n",
"\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Finally use the `predictions` and the `test_y` data and find the Mean Absolute Error value using the `np.absolute` and `np.mean` function like done previously\n"
]
},
{
"cell_type": "code",
"execution_count": 39,
"metadata": {
"tags": []
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Mean Absolute Error: 19.526630\n"
]
}
],
"source": [
"print(\"Mean Absolute Error: %.6f\" % np.mean(np.absolute(predictions - test_y)))\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Click here for the solution\n",
"\n",
"```python \n",
"print(\"Mean Absolute Error: %.2f\" % np.mean(np.absolute(predictions - test_y)))\n",
"\n",
"```\n",
"\n",
"\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We can see that the MAE is much worse when we train using `ENGINESIZE` than `FUELCONSUMPTION_COMB`\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Thank you for completing this lab!\n",
"\n",
"\n",
"## Author\n",
"\n",
"Saeed Aghabozorgi\n",
"\n",
"\n",
"### Other Contributors\n",
"\n",
"Joseph Santarcangelo\n",
"\n",
"Azim Hirjani\n",
"\n",
"##