Answer: To add a regression line to the data and visualize the linear regression in Python, you can use libraries such as matplotlib for plotting and numpy for calculations. Here is a step-by-step guide to achieve this: Load the data : Assuming your data is in a pandas DataFrame. Perform linear regression : Use the provided model tip rate = 0.18 − 0.01 × party size \text{tip rate} = 0.18 - 0.01 \times \text{party size} Plot the data and the regression line . Here's an example code to accomplish this: import pandas as pd import matplotlib.pyplot as plt import numpy as np # Sample data (you should replace this with loading your actual data) data = pd.DataFrame({ 'size': [2, 3, 3, 2, 4], 'tip_rate': [0.059447, 0.160542, 0.166587, 0.139780, 0.146808] }) # Scatter plot of the data plt.scatter(data['size'], data['tip_rate'], color='blue', label='Actual Data') # Define the linear regression model def regression_line(x): return 0.18 - 0.01 * x # Create a range of values for the party size x_values = np.linspace(min(data['size']), max(data['size']), 100) y_values = regression_line(x_values) # Plot the regression line plt.plot(x_values, y_values, color='red', label='Regression Line') # Adding labels and title plt.xlabel('Party Size') plt.ylabel('Tip Rate') plt.title('Tip Rate vs Party Size with Regression Line') plt.legend() plt.show() This code will create a scatter plot of your data points and overlay the regression line defined by your model tip rate = 0.18 − 0.01 × party size \text{tip rate} = 0.18 - 0.01 \times \text{party size} tip rate = 0.18 − 0.01 × party size . Make sure you have the required libraries installed by running: pip install pandas matplotlib numpy <img src="data:image/png;base64,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How can I add a regression line, linear regression in python

The fitted model is tip rate = 0.18 − 0.01 × party size

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