Create a python script that, when given a set of x and y data points, provides a linear regression and curve fit. then displays the curve.
Create a python script that, when given a set of x and y data points, provides a linear regression and curve fit. then displays the curve.
user
No problem! Here is code that provides linear regression of a set of data points and performs a curve fit to the data:

import numpy as np
import matplotlib.pyplot as plt

# Generate sample data
x_data = np.linspace(0, 10, 50)
y_data = 2 * x_data + 1 + np.random.normal(0, 1, size=x_data.shape)

# Perform linear regression
regression_params = np.polyfit(x_data, y_data, 1)

# Perform curve fitting
fit_params = np.polyfit(x_data, y_data, 2)

# Generate points for the fitted curve
x_fit = np.linspace(0, 10, 100)
y_fit = np.polyval(fit_params, x_fit)

# Plot the original data, regression line, and fitted curve
plt.scatter(x_data, y_data, label='Data')
plt.plot(x_data, np.polyval(regression_params, x_data), 'r-', label='Linear Regression')
plt.plot(x_fit, y_fit, 'g-', label='Curve Fit')
plt.xlabel('x')
plt.ylabel('y')
plt.legend()
plt.grid(True)
plt.show()

Here we can see example data points x and y data being created by creating two arrays of random numbers, then both the curve fitting and linear regression using the function "np.polyfit". Finally, the code displays the results using "matploit.pyplot" as "plt".
assistant