Learning Rate by Teaching Method

import matplotlib.pyplot as plt
import seaborn as sns
import pandas as pd
import numpy as np

np.random.seed(111)

methods = ['Lecture', 'Interactive', 'Project-Based', 'Hybrid']
data = []
for method in methods:
    n = 40
    study_hours = np.random.uniform(1, 20, n)
    effectiveness = {'Lecture': 3.5, 'Interactive': 4.5, 'Project-Based': 5.0, 'Hybrid': 4.8}
    score = effectiveness[method] * np.sqrt(study_hours) + 40 + np.random.normal(0, 5, n)
    score = np.clip(score, 0, 100)
    for s, sc in zip(study_hours, score):
        data.append({'Study Hours': s, 'Test Score': sc, 'Method': method})

df = pd.DataFrame(data)

plt.style.use('dark_background')
sns.set_style("darkgrid", {
    'axes.facecolor': '#0a0a0f',
    'figure.facecolor': '#0a0a0f',
    'grid.color': '#333333'
})

palette = ['#C82909', '#4927F5', '#27F5B0', '#F5D327']

g = sns.lmplot(
    data=df,
    x='Study Hours',
    y='Test Score',
    hue='Method',
    col='Method',
    col_wrap=2,
    height=3.5,
    aspect=1.2,
    palette=palette,
    scatter_kws={'alpha': 0.75, 's': 50, 'edgecolor': 'white', 'linewidths': 0.4},
    line_kws={'linewidth': 2.5},
    ci=95
)

g.fig.set_facecolor('#0a0a0f')
for ax in g.axes.flat:
    ax.set_facecolor('#0a0a0f')
    for spine in ax.spines.values():
        spine.set_color('#333333')

g.fig.suptitle('Pedagogical Effectiveness', fontsize=14, fontweight='bold', color='white', y=1.02)
plt.tight_layout()
plt.show()