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()