| import numpy as np | |
| import matplotlib.pyplot as plt | |
| # ── Parameters ────────────────────────────────────────────────────────────── | |
| seed = 5909 | |
| n_points = 38 | |
| slope = -0.918191 | |
| intercept = -1.427642 | |
| noise_std = 0.533250 | |
| # ── Data ──────────────────────────────────────────────────────────────────── | |
| rng = np.random.default_rng(seed) | |
| x = np.sort(rng.uniform(-3.0, 3.0, n_points)) | |
| y = slope * x + intercept + rng.normal(0.0, noise_std, n_points) | |
| x_line = np.array([-3.0, 3.0]) | |
| y_line = slope * x_line + intercept | |
| # ── Plot ───────────────────────────────────────────────────────────────────── | |
| fig, ax = plt.subplots(figsize=(6, 5)) | |
| ax.scatter(x, y, alpha=0.6, s=30, color="steelblue", zorder=2) | |
| ax.plot(x_line, y_line, color="crimson", linewidth=2, zorder=3, | |
| label=f"y = {slope:.3f}x + {intercept:.3f}") | |
| ax.set_xlabel("x") | |
| ax.set_ylabel("y") | |
| ax.set_title(f"Linear Scatter (n={n_points})") | |
| ax.legend(fontsize=9) | |
| ax.grid(True, alpha=0.3) | |
| fig.tight_layout() | |
| plt.show() | |