为了建立竞价对曝光次数的影响模型,可以使用线性回归来拟合数据。具体步骤如下:

  1. 导入数据:使用MATLAB的xlsread函数读取Excel文件中的数据。
data = xlsread('Impression&&CPC.xlsx', 'Sheet1');
  1. 数据预处理:根据箱线图剔除离群值。
bids = data(:, 1);
impressions = data(:, 2);

% 根据箱线图剔除离群值
Q1 = prctile(impressions, 25);
Q3 = prctile(impressions, 75);
IQR = Q3 - Q1;
lower_bound = Q1 - 1.5 * IQR;
upper_bound = Q3 + 1.5 * IQR;
valid_indices = impressions >= lower_bound & impressions <= upper_bound;
bids = bids(valid_indices);
impressions = impressions(valid_indices);
  1. 数据拟合:使用polyfit函数拟合线性回归模型。
coefficients = polyfit(bids, impressions, 1);
slope = coefficients(1);
intercept = coefficients(2);
  1. 绘制拟合曲线:使用polyval函数生成拟合曲线的y值,并绘制拟合曲线。
fit_impressions = polyval(coefficients, bids);
scatter(bids, impressions);
hold on;
plot(bids, fit_impressions);
hold off;

完整的MATLAB代码如下:

data = xlsread('Impression&&CPC.xlsx', 'Sheet1');

bids = data(:, 1);
impressions = data(:, 2);

% 根据箱线图剔除离群值
Q1 = prctile(impressions, 25);
Q3 = prctile(impressions, 75);
IQR = Q3 - Q1;
lower_bound = Q1 - 1.5 * IQR;
upper_bound = Q3 + 1.5 * IQR;
valid_indices = impressions >= lower_bound & impressions <= upper_bound;
bids = bids(valid_indices);
impressions = impressions(valid_indices);

coefficients = polyfit(bids, impressions, 1);
slope = coefficients(1);
intercept = coefficients(2);

fit_impressions = polyval(coefficients, bids);
scatter(bids, impressions);
hold on;
plot(bids, fit_impressions);
hold off;

运行以上代码,将会得到拟合曲线和散点图,拟合曲线的斜率slope即为竞价对曝光次数的影响。随着竞价的增大,曝光次数会增加


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