机器学习kaggle案例:沃尔玛招聘 - 商店销售预测

kaggle链接:https://www.kaggle.com/c/walmart-recruiting-store-sales-forecasting
ipynb文件:https://github.com/824024445/KaggleCases

一、简介

1.1 比赛描述

建模零售数据的一个挑战是需要根据有限的历史做出决策。如果圣诞节一年一次,那么有机会看到战略决策如何影响到底线。

在此招聘竞赛中,为求职者提供位于不同地区的45家沃尔玛商店的历史销售数据。每个商店都包含许多部门,参与者必须为每个商店中的每个部门预测销售额。要添加挑战,选定的假日降价事件将包含在数据集中。众所周知,这些降价会影响销售,但预测哪些部门受到影响以及影响程度具有挑战性。

想要在世界上最大的一些数据集的良好环境中工作吗?这是向沃尔玛招聘团队展示您的模特气概的机会。

这项比赛计入排名和成就。 如果您希望考虑参加沃尔玛的面试,请在第一次参加时选中“允许主持人与我联系”复选框。

你必须在招募比赛中作为个人参加比赛。您只能使用提供的数据进行预测。

1.2 比赛评估

本次比赛的加权平均绝对误差(WMAE)评估:

[外链图片转存失败(img-l8sox1g6-1566399330281)(https://raw.githubusercontent.com/824024445/KaggleCases/master/img/walmart-recruiting-store-sales-forecasting/1-1.jpg)]

  • n是行数
  • yi是真实销售额
  • wi是权重,如果该周是假日周,wi=5,否则为1

提交文件:Id列是通过将Store,Dept和Date与下划线连接而形成的(例如Store_Dept_2012-11-02)

对于测试集中的每一行(商店+部门+日期三元组),您应该预测该部门的每周销售额。

1.3 数据描述

您将获得位于不同地区的45家沃尔玛商店的历史销售数据。每个商店都包含许多部门,您的任务是预测每个商店的部门范围内的销售额。

此外,沃尔玛全年举办多项促销降价活动。这些降价活动在突出的假期之前,其中最大的四个是超级碗,劳动节,感恩节和圣诞节。包括这些假期的周数在评估中的加权比非假日周高五倍。本次比赛提出的部分挑战是在没有完整/理想的历史数据的情况下模拟降价对这些假期周的影响。

stores.csv:
此文件包含有关45个商店的匿名信息,指示商店的类型和大小。

train.csv:
这是历史销售数据,涵盖2010-02-05至2012-11-01。在此文件中,您将找到以下字段:
Store - 商店编号
Dept - 部门编号
Date - 一周
Weekly_Sales - 给定商店中给定部门的销售额(目标值)
sHoliday - 周是否是一个特殊的假日周

test.csv:
此文件与train.csv相同,但我们保留了每周销售额。您必须预测此文件中每个商店,部门和日期三元组的销售额。

features.csv:
此文件包含与给定日期的商店,部门和区域活动相关的其他数据。它包含以下字段:
Store - 商店编号
Date - 一周
Temperature - 该地区的平均温度
Fuel_Price - 该地区的燃料成本
MarkDown1-5 - 与沃尔玛正在运营的促销降价相关的匿名数据。MarkDown数据仅在2011年11月之后提供,并非始终适用于所有商店。任何缺失值都标有NA。
CPI - 消费者物价指数
Unemployment - 失业率
IsHoliday - 周是否是一个特殊的假日周

为方便起见,数据集中的四个假期在接下来的几周内(并非所有假期都在数据中):

超级碗:2月12日至10日,11月2日至11日,10月2日至12日,2月8日至2月13
日劳动节:10月9日至10日,9月9日至9日,9月9日至9月12日-13
感恩节:26-Nov- 10,25 -Nov-11,23-Nov-12,29-Nov-13
圣诞节:31-Dec-10,30-Dec-11,28-Dec-12,27-Dec -13

二、代码

2.1 获取数据

2.1.1 下载数据

我写了一个小函数来实现数据的下载,数据全都是官网原版数据,我存到了我的github上。(https://github.com/824024445/KaggleCases)

所有数据都下载到了你当前文件夹下的datasets文件下,每个案例涉及到的数据全部下载到了以该案例命名的文件夹下。

我所有的kaggle案例的博客,下载数据均会使用这个函数,只需要修改前两个常量即可。
> 注:此函数只用于下载数据,函数在该代码框内就运行了。不再用到其它代码中,包括常量,也不会用在其他地方。

import os
import zipfile
from six.moves import urllib

FILE_NAME = "walmart-recruiting-store-sales-forecasting.zip" #文件名
DATA_PATH ="datasets/walmart-recruiting-store-sales-forecasting" #存储文件的文件夹,取跟文件相同(相近)的名字便于区分
DATA_URL = "https://github.com/824024445/KaggleCases/blob/master/datasets/" + FILE_NAME + "?raw=true"


def fetch_data(data_url=DATA_URL, data_path=DATA_PATH, file_name=FILE_NAME):
    if not os.path.isdir(data_path): #查看当前文件夹下是否存在"datasets/titanic",没有的话创建
        os.makedirs(data_path)
    zip_path = os.path.join(data_path, file_name) #下载到本地的文件的路径及名称
    # urlretrieve()方法直接将远程数据下载到本地
    urllib.request.urlretrieve(data_url, zip_path) #第二个参数zip_path是保存到的本地路径
    data_zip = zipfile.ZipFile(zip_path)
    data_zip.extractall(path=data_path) #什么参数都不输入就是默认解压到当前文件,为了保持统一,是泰坦尼克的数据就全部存到titanic文件夹下
    data_zip.close()
fetch_data()

2.1.2 读取数据

import pandas as pd
import numpy as np

train_df = pd.read_csv("datasets/walmart-recruiting-store-sales-forecasting/train.csv")
test_df = pd.read_csv("datasets/walmart-recruiting-store-sales-forecasting/test.csv")
features = pd.read_csv("datasets/walmart-recruiting-store-sales-forecasting/features.csv")
stores = pd.read_csv("datasets/walmart-recruiting-store-sales-forecasting/stores.csv")

train_df = train_df.merge(features, on=["Store", "Date"], how="left").merge(stores, on="Store", how="left")
test_df = test_df.merge(features, on=["Store", "Date"], how="left").merge(stores, on="Store", how="left")
combine = [train_df, test_df]
train_df.head()

StoreDeptDateWeekly_SalesIsHoliday_xTemperatureFuel_PriceMarkDown1MarkDown2MarkDown3MarkDown4MarkDown5CPIUnemploymentIsHoliday_yTypeSize
0112010-02-0524924.50False42.312.572NaNNaNNaNNaNNaN211.0963588.106FalseA151315
1112010-02-1246039.49True38.512.548NaNNaNNaNNaNNaN211.2421708.106TrueA151315
2112010-02-1941595.55False39.932.514NaNNaNNaNNaNNaN211.2891438.106FalseA151315
3112010-02-2619403.54False46.632.561NaNNaNNaNNaNNaN211.3196438.106FalseA151315
4112010-03-0521827.90False46.502.625NaNNaNNaNNaNNaN211.3501438.106FalseA151315

2.2 初步观察数据

2.2.1 info()

train_df.info()
<class 'pandas.core.frame.DataFrame'>
Int64Index: 421570 entries, 0 to 421569
Data columns (total 17 columns):
Store           421570 non-null int64
Dept            421570 non-null int64
Date            421570 non-null object
Weekly_Sales    421570 non-null float64
IsHoliday_x     421570 non-null bool
Temperature     421570 non-null float64
Fuel_Price      421570 non-null float64
MarkDown1       150681 non-null float64
MarkDown2       111248 non-null float64
MarkDown3       137091 non-null float64
MarkDown4       134967 non-null float64
MarkDown5       151432 non-null float64
CPI             421570 non-null float64
Unemployment    421570 non-null float64
IsHoliday_y     421570 non-null bool
Type            421570 non-null object
Size            421570 non-null int64
dtypes: bool(2), float64(10), int64(3), object(2)
memory usage: 52.3+ MB

观察到:

  • MarkDown有太多缺失值,但是后面查看test发现test该特征比较完整,且后面查看想关性,该特征有挺高的相关性
  • 其余特征没有空值,等会就不用补充缺失值了
test_df.info()
<class 'pandas.core.frame.DataFrame'>
Int64Index: 115064 entries, 0 to 115063
Data columns (total 16 columns):
Store           115064 non-null int64
Dept            115064 non-null int64
Date            115064 non-null object
IsHoliday_x     115064 non-null bool
Temperature     115064 non-null float64
Fuel_Price      115064 non-null float64
MarkDown1       114915 non-null float64
MarkDown2       86437 non-null float64
MarkDown3       105235 non-null float64
MarkDown4       102176 non-null float64
MarkDown5       115064 non-null float64
CPI             76902 non-null float64
Unemployment    76902 non-null float64
IsHoliday_y     115064 non-null bool
Type            115064 non-null object
Size            115064 non-null int64
dtypes: bool(2), float64(9), int64(3), object(2)
memory usage: 13.4+ MB

观察测试集发现:

  • 测试集的markdown数据还挺全的,这个特征可能还是有用的。就先做去掉这个特征的,然后提升阶段再考虑怎么利用这部分数据吧。
  • 测试集的CPI和Unemployment有空值

2.2.2 describe()

train_df.describe()
StoreDeptWeekly_SalesTemperatureFuel_PriceMarkDown1MarkDown2MarkDown3MarkDown4MarkDown5CPIUnemploymentSize
count421570.000000421570.000000421570.000000421570.000000421570.000000150681.000000111248.000000137091.000000134967.000000151432.000000421570.000000421570.000000421570.000000
mean22.20054644.26031715981.25812360.0900593.3610277246.4201963334.6286211439.4213843383.1682564628.975079171.2019477.960289136727.915739
std12.78529730.49205422711.18351918.4479310.4585158291.2213459475.3573259623.0782906292.3840315962.88745539.1592761.86329660980.583328
min1.0000001.000000-4988.940000-2.0600002.4720000.270000-265.760000-29.1000000.220000135.160000126.0640003.87900034875.000000
25%11.00000018.0000002079.65000046.6800002.9330002240.27000041.6000005.080000504.2200001878.440000132.0226676.89100093638.000000
50%22.00000037.0000007612.03000062.0900003.4520005347.450000192.00000024.6000001481.3100003359.450000182.3187807.866000140167.000000
75%33.00000074.00000020205.85250074.2800003.7380009210.9000001926.940000103.9900003595.0400005563.800000212.4169938.572000202505.000000
max45.00000099.000000693099.360000100.1400004.46800088646.760000104519.540000141630.61000067474.850000108519.280000227.23280714.313000219622.000000
train_df.describe(include="O")
DateType
count421570421570
unique1433
top2011-12-23A
freq3027215478

测试集CPI和Unemployment有缺失值,看一下它的结构

test_df[["CPI","Unemployment"]].describe()
CPIUnemployment
count76902.00000076902.000000
mean176.9613476.868733
std41.2399671.583427
min131.2362263.684000
25%138.4020335.771000
50%192.3044456.806000
75%223.2445328.036000
max228.97645610.199000

2.2.3 corr()

corr_matrix = train_df.corr()
corr_matrix.Weekly_Sales.sort_values(ascending=False)
Weekly_Sales    1.000000
Size            0.243828
Dept            0.148032
MarkDown5       0.090362
MarkDown1       0.085251
MarkDown3       0.060385
MarkDown4       0.045414
MarkDown2       0.024130
IsHoliday_y     0.012774
IsHoliday_x     0.012774
Fuel_Price     -0.000120
Temperature    -0.002312
CPI            -0.020921
Unemployment   -0.025864
Store          -0.085195
Name: Weekly_Sales, dtype: float64
corr_matrix[["MarkDown1","MarkDown2","MarkDown3","MarkDown4","MarkDown5"]].sort_values(by="MarkDown5", ascending=False)
MarkDown1MarkDown2MarkDown3MarkDown4MarkDown5
MarkDown50.160257-0.007440-0.0264670.1077921.000000
Size0.3456730.1088270.0489130.1681960.304575
MarkDown11.0000000.024486-0.1081150.8192380.160257
MarkDown40.819238-0.007768-0.0710951.0000000.107792
Weekly_Sales0.0852510.0241300.0603850.0454140.090362
CPI-0.055558-0.039534-0.023590-0.0496280.060630
Dept-0.0024260.0002900.0017840.0042570.000109
Unemployment0.0502850.0209400.0128180.024963-0.003843
MarkDown20.0244861.000000-0.050108-0.007768-0.007440
Temperature-0.040594-0.323927-0.096880-0.063947-0.017544
MarkDown3-0.108115-0.0501081.000000-0.071095-0.026467
Store-0.119588-0.035173-0.031556-0.009941-0.026634
IsHoliday_x-0.0355860.3348180.427960-0.000562-0.053719
IsHoliday_y-0.0355860.3348180.427960-0.000562-0.053719
Fuel_Price0.061371-0.220895-0.102092-0.044986-0.128065
  • markdown1和4的关联度比较大,只需要要一个就行,删除markdown4

2.3 数据清洗

2.3.1 缺失值处理

## Markdown 对于训练集markdown的缺失,这里先不处理,等会分成两个数据集,一个含缺失markdown然后填充,一个去掉这些数据
test_df[['MarkDown1','MarkDown2','MarkDown3','MarkDown5']] = test_df[['MarkDown1','MarkDown2','MarkDown3','MarkDown5']].fillna(0)
test_df[["CPI","Unemployment"]] = test_df[["CPI","Unemployment"]].fillna(method="ffill")                                                                                                                                                                                            

2.3.2 创建新特征

type转变成onehot编码

train_df = pd.get_dummies(train_df, columns=["Type"])
test_df = pd.get_dummies(test_df, columns=["Type"])
train_df.head()
StoreDeptDateWeekly_SalesIsHoliday_xTemperatureFuel_PriceMarkDown1MarkDown2MarkDown3MarkDown4MarkDown5CPIUnemploymentIsHoliday_ySizeType_AType_BType_C
0112010-02-0524924.50False42.312.572NaNNaNNaNNaNNaN211.0963588.106False151315100
1112010-02-1246039.49True38.512.548NaNNaNNaNNaNNaN211.2421708.106True151315100
2112010-02-1941595.55False39.932.514NaNNaNNaNNaNNaN211.2891438.106False151315100
3112010-02-2619403.54False46.632.561NaNNaNNaNNaNNaN211.3196438.106False151315100
4112010-03-0521827.90False46.502.625NaNNaNNaNNaNNaN211.3501438.106False151315100

把日期换成月份

train_df['Month'] = pd.to_datetime(train_df['Date']).dt.month
test_df["Month"] = pd.to_datetime(test_df['Date']).dt.month
#等下记得删除Date,test的暂时先不删,后面要用

温度
想来,人们在极端天气的时候不太会出门。所以把数据分成两组:小于22.01,大于91.03(根据温度分布划分的,画柱状图可得,我已经删掉了)

train_df.loc[(train_df["Temperature"]<22.01)|(train_df["Temperature"]>91.03), "Is_temp_extr"]=1
train_df.loc[(train_df["Temperature"]>=22.01)& (train_df["Temperature"]<=91.03), "Is_temp_extr"]=0

test_df.loc[(test_df["Temperature"]<22.01)|(test_df["Temperature"]>91.03), "Is_temp_extr"]=1
test_df.loc[(test_df["Temperature"]>=22.01)& (test_df["Temperature"]<=91.03), "Is_temp_extr"]=0

train_df.corr().Weekly_Sales.sort_values(ascending=False)[["Temperature", "Is_temp_extr"]]
#提取新特征后相关性提升了十多倍 等下记得把这个特征删除。
Temperature    -0.002312
Is_temp_extr   -0.030016
Name: Weekly_Sales, dtype: float64

燃油价格
人们会因为燃油费太贵不出门吗?

train_df.loc[train_df["Fuel_Price"]>3.47, "Is_fuel_expen"]=1
train_df.loc[train_df["Fuel_Price"]<=3.47, "Is_fuel_expen"]=0
#无论怎么改,这个相关性都很低,所以这个特征等下去除
train_df.corr().Weekly_Sales.sort_values(ascending=False)[["Fuel_Price", "Is_fuel_expen"]]
Fuel_Price      -0.000120
Is_fuel_expen   -0.006626
Name: Weekly_Sales, dtype: float64

IsHoliday
由于前面合并表格的时候的问题,出现了两个isholidy,删掉一个即可。
另外,把bool值换成0和5(后面权重)

train_df["IsHoliday"] = train_df["IsHoliday_x"].replace(True, 5).replace(False,0)
test_df["IsHoliday"] = test_df["IsHoliday_x"].replace(True, 5).replace(False,0)

train_df.corr().Weekly_Sales.sort_values(ascending=False)[["IsHoliday_x", "IsHoliday"]]
IsHoliday_x    0.012774
IsHoliday      0.012774
Name: Weekly_Sales, dtype: float64

2.3.3 删除特征

train_df = train_df.drop(["IsHoliday_x", "IsHoliday_y",'MarkDown4',"Date", "Temperature", "Fuel_Price","Is_fuel_expen"], axis=1)

#这是后面提交表格需要用到的变量,用到了测试集的date特征,先在这里给id变量赋值,然后就可以吧date特征删除了
id = test_df["Store"].astype(str)+"_"+test_df["Dept"].astype(str)+"_"+test_df["Date"].astype(str)
test_df = test_df.drop(["IsHoliday_x", "IsHoliday_y", "MarkDown4", "Date","Temperature", "Fuel_Price"], axis=1) 

2.3.4 最终检查

将数据集用到模型前,一定要确保没有空值,所以最后再检查一下

先把训练集做成两份:一份含缺失的markdown,一个去除掉这些数据

train_df_one = train_df.copy()
train_df_two = train_df.copy()
train_df_one[['MarkDown1','MarkDown2','MarkDown3','MarkDown5']] = train_df_one[['MarkDown1','MarkDown2','MarkDown3','MarkDown5']].fillna(0)
train_df_two.dropna(inplace=True)

train_df_one.info()
<class 'pandas.core.frame.DataFrame'>
Int64Index: 421570 entries, 0 to 421569
Data columns (total 16 columns):
Store           421570 non-null int64
Dept            421570 non-null int64
Weekly_Sales    421570 non-null float64
MarkDown1       421570 non-null float64
MarkDown2       421570 non-null float64
MarkDown3       421570 non-null float64
MarkDown5       421570 non-null float64
CPI             421570 non-null float64
Unemployment    421570 non-null float64
Size            421570 non-null int64
Type_A          421570 non-null uint8
Type_B          421570 non-null uint8
Type_C          421570 non-null uint8
Month           421570 non-null int64
Is_temp_extr    421570 non-null float64
IsHoliday       421570 non-null float64
dtypes: float64(9), int64(4), uint8(3)
memory usage: 46.2 MB
train_df_two.info()
<class 'pandas.core.frame.DataFrame'>
Int64Index: 101480 entries, 92 to 421569
Data columns (total 16 columns):
Store           101480 non-null int64
Dept            101480 non-null int64
Weekly_Sales    101480 non-null float64
MarkDown1       101480 non-null float64
MarkDown2       101480 non-null float64
MarkDown3       101480 non-null float64
MarkDown5       101480 non-null float64
CPI             101480 non-null float64
Unemployment    101480 non-null float64
Size            101480 non-null int64
Type_A          101480 non-null uint8
Type_B          101480 non-null uint8
Type_C          101480 non-null uint8
Month           101480 non-null int64
Is_temp_extr    101480 non-null float64
IsHoliday       101480 non-null float64
dtypes: float64(9), int64(4), uint8(3)
memory usage: 11.1 MB
test_df.info()
<class 'pandas.core.frame.DataFrame'>
Int64Index: 115064 entries, 0 to 115063
Data columns (total 15 columns):
Store           115064 non-null int64
Dept            115064 non-null int64
MarkDown1       115064 non-null float64
MarkDown2       115064 non-null float64
MarkDown3       115064 non-null float64
MarkDown5       115064 non-null float64
CPI             115064 non-null float64
Unemployment    115064 non-null float64
Size            115064 non-null int64
Type_A          115064 non-null uint8
Type_B          115064 non-null uint8
Type_C          115064 non-null uint8
Month           115064 non-null int64
Is_temp_extr    115064 non-null float64
IsHoliday       115064 non-null float64
dtypes: float64(8), int64(4), uint8(3)
memory usage: 11.7 MB

2.4 模型和预测

为了快速测试,写了一个类。我写的案例大部分都回用到这个类。不过每次因为性能评测的指标不同,所以需要微改。

import time
import os
from sklearn.metrics import mean_absolute_error
from sklearn.base import clone

class Tester():
    def __init__(self, target):
        self.target = target
        self.datasets = {}
        self.models = {}
        self.scores = {}
        self.cache = {} # 我们添加了一个简单的缓存来加快速度

    def addDataset(self, name, df):
        self.datasets[name] = df.copy()

    def addModel(self, name, model):
        self.models[name] = model
        
    def clearModels(self):
        self.models = {}

    def clearCache(self):
        self.cache = {}
    
    def testModelWithDataset(self, m_name, df_name, sample_len, cv):
        if (m_name, df_name, sample_len, cv) in self.cache:
            return self.cache[(m_name, df_name, sample_len, cv)]

        clf = clone(self.models[m_name])
        
        if not sample_len: 
            sample = self.datasets[df_name]
        else: sample = self.datasets[df_name].sample(sample_len)
            
        X = sample.drop([self.target], axis=1)
        Y = sample[self.target]

        #评分标准不一样的话,修改这里
        weights = X["IsHoliday"]
        clf.fit(X, Y)
        Y_pred = clf.predict(X)
        s = mean_absolute_error(Y, Y_pred, sample_weight=weights)
        self.cache[(m_name, df_name, sample_len, cv)] = s

        return s

    def runTests(self, sample_len=97056, cv=3):
        # 在所有添加的数据集上测试添加的模型
        for m_name in self.models:
            for df_name in self.datasets:
                # print('Testing %s' % str((m_name, df_name)), end='')
                start = time.time()

                score = self.testModelWithDataset(m_name, df_name, sample_len, cv)
                self.scores[(m_name, df_name)] = score
                
                end = time.time()
                
                # print(' -- %0.2fs ' % (end - start))

        print('--- Top 10 Results ---')
        # 评分标准改了之后这里也得改
        for score in sorted(self.scores.items(), key=lambda x: x[1])[:10]:
            # score = int(score[1])
            print(score)

    def obtian_result(self, X_test):
        clf = self.models[sorted(self.scores.items(), key=lambda x: x[1])[0][0]]
        Y_pred = clf.predict(X_test)
        return Y_pred

   
from sklearn.ensemble import ExtraTreesRegressor, RandomForestRegressor, GradientBoostingRegressor
from sklearn.neighbors import KNeighborsRegressor
from sklearn.svm import SVR
from sklearn.feature_selection import RFE
from sklearn.neural_network import MLPRegressor

# 我们将在所有模型中使用测试对象
tester = Tester('Weekly_Sales')

# 添加数据集
tester.addDataset('all_markdown', train_df_one)
tester.addDataset('wipe_markdown', train_df_two)

# 添加模型
knn_reg = KNeighborsRegressor(n_neighbors=10)
tree_reg = ExtraTreesRegressor(n_estimators=100,max_features='auto', verbose=1, n_jobs=1)
rf_reg = RandomForestRegressor(n_estimators=100,max_features='log2', verbose=1)
svr_reg = SVR(kernel='rbf', gamma='auto')
mlp_reg = MLPRegressor(hidden_layer_sizes=(10,),  activation='relu', verbose=3)
gbrt_reg = GradientBoostingRegressor(max_depth=8, warm_start=True)
tester.addModel('KNeighborsRegressor', knn_reg)
tester.addModel('ExtraTreesRegressor', tree_reg)
tester.addModel('RandomForestRegressor', rf_reg)
tester.addModel('SVR', svr_reg)
tester.addModel('MLPRegressor', mlp_reg)
tester.addModel('GradientBoostingRegressor', gbrt_reg)

# 测试
tester.runTests()

[Parallel(n_jobs=1)]: Using backend SequentialBackend with 1 concurrent workers.
[Parallel(n_jobs=1)]: Done 100 out of 100 | elapsed:   26.4s finished
[Parallel(n_jobs=1)]: Using backend SequentialBackend with 1 concurrent workers.
[Parallel(n_jobs=1)]: Done 100 out of 100 | elapsed:    3.8s finished
[Parallel(n_jobs=1)]: Using backend SequentialBackend with 1 concurrent workers.
[Parallel(n_jobs=1)]: Done 100 out of 100 | elapsed:   28.6s finished
[Parallel(n_jobs=1)]: Using backend SequentialBackend with 1 concurrent workers.
[Parallel(n_jobs=1)]: Done 100 out of 100 | elapsed:    3.8s finished
X = train_df_one.drop(["Weekly_Sales"], axis=1)
Y = train_df_one["Weekly_Sales"]

gbrt_reg.fit(X, Y)
Y_pred = gbrt_reg.predict(test_df)
submission = pd.DataFrame({
        "Id": id,
        "Weekly_Sales": pd.DataFrame(Y_pred)[0]
    })
id

submission.to_csv('submission.csv', index=False)

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