From c2f1c4f05424f6acaad9526f244c55d5a0898d52 Mon Sep 17 00:00:00 2001 From: ntnt Date: Sat, 17 Jan 2026 15:53:51 +0800 Subject: [PATCH] P1: first upload --- analyze_visits.py | 135 --------------------- kmin_effectiveness.png | Bin 0 -> 200450 bytes kmin_effectiveness.py | 263 +++++++++++++++++++++++++++++++++++++++++ 3 files changed, 263 insertions(+), 135 deletions(-) delete mode 100644 analyze_visits.py create mode 100644 kmin_effectiveness.png create mode 100644 kmin_effectiveness.py diff --git a/analyze_visits.py b/analyze_visits.py deleted file mode 100644 index 5f62561..0000000 --- a/analyze_visits.py +++ /dev/null @@ -1,135 +0,0 @@ -""" -分析:访问总次数是否由每次访问平均需求量决定 -使用相关性分析和回归分析 -""" -import pandas as pd -import numpy as np -from scipy import stats -import matplotlib.pyplot as plt - -# 读取数据 -df = pd.read_excel('prob/MFP Regular Sites 2019.xlsx') - -# 提取关键列 -visits = df['Number of Visits in 2019'] -avg_demand = df['Average Demand per Visit'] -std_demand = df['StDev(Demand per Visit)'] - -print("=" * 60) -print("数据基本统计") -print("=" * 60) -print(f"样本数量: {len(visits)}") -print(f"\n访问总次数:") -print(f" 均值: {visits.mean():.2f}, 标准差: {visits.std():.2f}") -print(f"\n每次访问平均需求量:") -print(f" 均值: {avg_demand.mean():.2f}, 标准差: {avg_demand.std():.2f}") - -# 1. 皮尔逊相关系数分析 -print("\n" + "=" * 60) -print("1. 皮尔逊相关系数分析") -print("=" * 60) -r, p_value = stats.pearsonr(avg_demand, visits) -print(f"相关系数 r = {r:.4f}") -print(f"p值 = {p_value:.4e}") -print(f"决定系数 R² = {r**2:.4f} (可解释{r**2*100:.1f}%的变异)") - -if p_value < 0.05: - print("结论: p < 0.05, 相关性显著") -else: - print("结论: p >= 0.05, 相关性不显著") - -# 2. 线性回归分析 -print("\n" + "=" * 60) -print("2. 线性回归分析 (访问次数 ~ 平均需求量)") -print("=" * 60) -slope, intercept, r_val, p_val, std_err = stats.linregress(avg_demand, visits) -print(f"回归方程: 访问次数 = {slope:.4f} × 平均需求量 + {intercept:.4f}") -print(f"斜率标准误: {std_err:.4f}") -print(f"p值: {p_val:.4e}") - -# 3. 标准差作为辅助分析 -print("\n" + "=" * 60) -print("3. 标准差辅助分析") -print("=" * 60) -# 变异系数 (CV) = 标准差/均值, 衡量相对离散程度 -cv = std_demand / avg_demand -print(f"变异系数 (CV = 标准差/均值) 统计:") -print(f" 均值: {cv.mean():.4f}") -print(f" 范围: {cv.min():.4f} - {cv.max():.4f}") - -# 标准差与访问次数的相关性 -r_std, p_std = stats.pearsonr(std_demand.dropna(), visits[std_demand.notna()]) -print(f"\n标准差与访问次数的相关系数: r = {r_std:.4f}, p = {p_std:.4e}") - -# 4. 多元回归 (平均需求量 + 标准差 -> 访问次数) -print("\n" + "=" * 60) -print("4. 多元回归分析 (同时考虑平均需求量和标准差)") -print("=" * 60) -from sklearn.linear_model import LinearRegression -from sklearn.preprocessing import StandardScaler - -# 准备数据 (去除缺失值) -mask = std_demand.notna() -X = np.column_stack([avg_demand[mask], std_demand[mask]]) -y = visits[mask] - -model = LinearRegression() -model.fit(X, y) -y_pred = model.predict(X) -ss_res = np.sum((y - y_pred) ** 2) -ss_tot = np.sum((y - y.mean()) ** 2) -r2_multi = 1 - ss_res / ss_tot - -print(f"多元 R² = {r2_multi:.4f} (可解释{r2_multi*100:.1f}%的变异)") -print(f"系数: 平均需求量 = {model.coef_[0]:.4f}, 标准差 = {model.coef_[1]:.4f}") -print(f"截距: {model.intercept_:.4f}") - -# 5. 总结 -print("\n" + "=" * 60) -print("综合结论") -print("=" * 60) -if abs(r) < 0.3: - strength = "弱" -elif abs(r) < 0.7: - strength = "中等" -else: - strength = "强" - -direction = "正" if r > 0 else "负" -print(f"• 平均需求量与访问次数呈{strength}{direction}相关 (r={r:.3f})") -print(f"• 平均需求量仅能解释访问次数{r**2*100:.1f}%的变异") -print(f"• 加入标准差后可解释{r2_multi*100:.1f}%的变异") - -if r**2 < 0.25: - print("• 结论: 访问总次数主要不由每次访问平均需求量决定") -else: - print("• 结论: 每次访问平均需求量对访问总次数有较大影响") - -# 绘图 -fig, axes = plt.subplots(1, 2, figsize=(12, 5)) - -# 散点图 + 回归线 -ax1 = axes[0] -ax1.scatter(avg_demand, visits, alpha=0.6, edgecolors='black', linewidth=0.5) -x_line = np.linspace(avg_demand.min(), avg_demand.max(), 100) -y_line = slope * x_line + intercept -ax1.plot(x_line, y_line, 'r-', linewidth=2, label=f'回归线 (R²={r**2:.3f})') -ax1.set_xlabel('Average Demand per Visit (每次访问平均需求量)') -ax1.set_ylabel('Number of Visits (访问总次数)') -ax1.set_title('访问次数 vs 平均需求量') -ax1.legend() -ax1.grid(True, alpha=0.3) - -# 残差图 -ax2 = axes[1] -residuals = visits - (slope * avg_demand + intercept) -ax2.scatter(avg_demand, residuals, alpha=0.6, edgecolors='black', linewidth=0.5) -ax2.axhline(y=0, color='r', linestyle='--', linewidth=2) -ax2.set_xlabel('Average Demand per Visit (每次访问平均需求量)') -ax2.set_ylabel('Residuals (残差)') -ax2.set_title('残差分析') -ax2.grid(True, alpha=0.3) - -plt.tight_layout() -plt.savefig('analysis_result.png', dpi=150, bbox_inches='tight') -print("\n图表已保存至 analysis_result.png") diff --git a/kmin_effectiveness.png b/kmin_effectiveness.png new file mode 100644 index 0000000000000000000000000000000000000000..da6da191804eb128c6d9a29f418cbf80bc67811f GIT binary patch literal 200450 zcmd?RbyO4l`#%hbgd!?fAl)FLbhp6hMjEBNK^g(YKw_gC$&mtMG&62u3_(XpBPlJT z`}dxoZ`{B0Jbyg@KRZV~2VrdQxUN@Sd!wtZdhH7B6#@c+YY;VMeF6efG6I6jlVl{| zE24$tso)<;zsFDf3_KnD0-yTW6KFm4^K$d_b8~*i6kzY;>+Id02e{LIMJavV!6B?DZ+qbn4+z zl0Shb*gH>xx7q`5B!6Hj^Shy-pnO_!D~Y2lk_-2Sh3pCo4-*T0abPlw(MpsWYpvBwkKWkYn zbFJg2im&-V;~6|>hT8GSfa~UnAq5e 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