Click Through Rate Prediction

Click Through Rate Prediction

Objective: -

In any advertising agency, it is very important to predict the most profitable users who are very likely to respond to targeted advertisements.By predicting the click-through rate, an advertising company select the most potential visitors who are most likely to respond to the ads, analyzing their browsing history and showing the most relevant ads based on the interest of the user.

This task is important for every advertising agency because the commercial value of promotions on the Internet depends only on how the user responds to them. A user’s response to ads is very valuable to every ad company because it allows the company to select the ads that are most relevant to users.

The goal of this challenge is to build a machine learning model that predicts the click through rate of the most profitable user for the advertising company.

Dataset: -

The dataset is openly available at Kaggle.

Attribute Information:

  1. Clicked on Ad (0-No and 1-Yes)

Nine real-valued features:

  1. Daily Time Spent on Site.

  2. Age

  3. Area Income

  4. Daily Internet Usage

  5. Ad Topic Line

  6. City

  7. Male

  8. Country

  9. Timestamp

Step 1: Import all the required libraries

  • Pandas : In computer programming, pandas is a software library written for the Python programming language for data manipulation and analysis and storing in a proper way. In particular, it offers data structures and operations for manipulating numerical tables and time series

  • Sklearn : Scikit-learn (formerly scikits.learn) is a free software machine learning library for the Python programming language. It features various classification, regression and clustering algorithms including support vector machines, random forests, gradient boosting, k-means and DBSCAN, and is designed to interoperate with the Python numerical and scientific libraries NumPy and SciPy. The library is built upon the SciPy (Scientific Python) that must be installed before you can use scikit-learn.

  • Pickle : Python pickle module is used for serializing and de-serializing a Python object structure. Pickling is a way to convert a python object (list, dict, etc.) into a character stream. The idea is that this character stream contains all the information necessary to reconstruct the object in another python script.

  • Seaborn : Seaborn is a Python data visualization library based on matplotlib. It provides a high-level interface for drawing attractive and informative statistical graphics.

  • Matplotlib : Matplotlib is a plotting library for the Python programming language and its numerical mathematics extension NumPy. It provides an object-oriented API for embedding plots into applications using general-purpose GUI toolkits like Tkinter, wxPython, Qt, or GTK.

#Loading libraries   
import pandas as pd  
import seaborn as sns  
from sklearn.model_selection import train_test_split  
import pickle  
import numpy as np  
from sklearn.model_selection import KFold, cross_val_score, train_test_split  
import warnings  

warnings.filterwarnings('ignore')

Step 2 : Read dataset and basic details of dataset

Goal:- In this step we are going to read the dataset, view the dataset and analysis the basic details like total number of rows and columns, what are the column data types and see to need to create new column or not.

In this stage we are going to read our problem dataset and have a look on it.

#loading the dataset  
try:  
    df = pd.read_csv('C:/Users/YAJENDRA/Documents/final notebooks/Click Through Rate Prediction/data/advertising.csv') #Path for the file  
    print('Data read done successfully...')  
except (FileNotFoundError, IOError):  
    print("Wrong file or file path")
Data read done successfully...
# To view the content inside the dataset we can use the head() method that returns a specified number of rows, string from the top.   
# The head() method returns the first 5 rows if a number is not specified.  
df.head()

png

Step3: Data Preprocessing

Why need of Data Preprocessing?

Preprocessing data is an important step for data analysis. The following are some benefits of preprocessing data:

  • It improves accuracy and reliability. Preprocessing data removes missing or inconsistent data values resulting from human or computer error, which can improve the accuracy and quality of a dataset, making it more reliable.

  • It makes data consistent. When collecting data, it’s possible to have data duplicates, and discarding them during preprocessing can ensure the data values for analysis are consistent, which helps produce accurate results.

  • It increases the data’s algorithm readability. Preprocessing enhances the data’s quality and makes it easier for machine learning algorithms to read, use, and interpret it.

After we read the data, we can look at the data using:

# count the total number of rows and columns.  
print ('The train data has {0} rows and {1} columns'.format(df.shape[0],df.shape[1]))
The train data has 10000 rows and 10 columns

By analysing the problem statement and the dataset, we get to know that the target variable is “Clicked on Ad” column which says if the ad is clicked then it is 1 or if it is not clicked its 0.

df['Clicked on Ad'].value_counts()
0    5083  
1    4917  
Name: Clicked on Ad, dtype: int64

The df.value_counts() method counts the number of types of values a particular column contains.

df.shape
(10000, 10)

The df.shape method shows the shape of the dataset.

We can identify that out of the 1000 rows, 5083 are valued as 0 and 4917 are valued as 1.

df.info()
<class 'pandas.core.frame.DataFrame'>  
RangeIndex: 10000 entries, 0 to 9999  
Data columns (total 10 columns):  
 #   Column                    Non-Null Count  Dtype    
---  ------                    --------------  -----    
 0   Daily Time Spent on Site  10000 non-null  float64  
 1   Age                       10000 non-null  float64  
 2   Area Income               10000 non-null  float64  
 3   Daily Internet Usage      10000 non-null  float64  
 4   Ad Topic Line             10000 non-null  object   
 5   City                      10000 non-null  object   
 6   Gender                    10000 non-null  object   
 7   Country                   10000 non-null  object   
 8   Timestamp                 10000 non-null  object   
 9   Clicked on Ad             10000 non-null  int64    
dtypes: float64(4), int64(1), object(5)  
memory usage: 781.4+ KB

The df.info() method prints information about a DataFrame including the index dtype and columns, non-null values and memory usage.

df.iloc[1]
Daily Time Spent on Site                             41.73  
Age                                                   31.0  
Area Income                                       61840.26  
Daily Internet Usage                                207.17  
Ad Topic Line               Optional full-range projection  
City                                       West Angelabury  
Gender                                                Male  
Country                                          Singapore  
Timestamp                              2016-01-16 17:56:05  
Clicked on Ad                                            0  
Name: 1, dtype: object

df.iloc[ ] is primarily integer position based (from 0 to length-1 of the axis), but may also be used with a boolean array. The iloc property gets, or sets, the value(s) of the specified indexes.

Data Type Check for every column

Why data type check is required?

Data type check helps us with understanding what type of variables our dataset contains. It helps us with identifying whether to keep that variable or not. If the dataset contains contiguous data, then only float and integer type variables will be beneficial and if we have to classify any value then categorical variables will be beneficial.

objects_cols = ['object']  
objects_lst = list(df.select_dtypes(include=objects_cols).columns)
print("Total number of categorical columns are ", len(objects_lst))  
print("There names are as follows: ", objects_lst)
Total number of categorical columns are  5  
There names are as follows:  ['Ad Topic Line', 'City', 'Gender', 'Country', 'Timestamp']
int64_cols = ['int64']  
int64_lst = list(df.select_dtypes(include=int64_cols).columns)
print("Total number of numerical columns are ", len(int64_lst))  
print("There names are as follows: ", int64_lst)
Total number of numerical columns are  1  
There names are as follows:  ['Clicked on Ad']
float64_cols = ['float64']  
float64_lst = list(df.select_dtypes(include=float64_cols).columns)
print("Total number of float64 columns are ", len(float64_lst))  
print("There name are as follow: ", float64_lst)
Total number of float64 columns are  4  
There name are as follow:  ['Daily Time Spent on Site', 'Age', 'Area Income', 'Daily Internet Usage']

After analysing the dataset we found that the categorical values are of no use so we will drop them.

df = df.drop(['Ad Topic Line', 'City','Country', 'Timestamp'],axis=1)

Axis are defined for arrays with more than one dimension. A 2-dimensional array has two corresponding axes: the first running vertically downwards across rows (axis 0) and the second running horizontally across columns (axis 1).

Why drop column?

As we observe that the categroical values doesnot help in increasing the accuracy in a model where the values are numerical and label to predict is also numerical.

Step 2 Insights: -

  1. We have total 10 features where 1 of them is integer type, 5 object type while others are float type.

  2. Drop 4 columns (Ad Topic Line, City,Country, Timestamp).

After this step we have to calculate various evaluation parameters which will help us in cleaning and analysing the data more accurately.

Step 3: Descriptive Analysis

Goal/Purpose: Finding the data distribution of the features. Visualization helps to understand data and also to explain the data to another person.

Things we are going to do in this step:

  1. Mean

  2. Median

  3. Mode

  4. Standard Deviation

  5. Variance

  6. Null Values

  7. NaN Values

  8. Min value

  9. Max value

  10. Count Value

  11. Quatilers

  12. Correlation

  13. Skewness

df.describe()

png

The df.describe() method returns description of the data in the DataFrame. If the DataFrame contains numerical data, the description contains these information for each column: count — The number of not-empty values. mean — The average (mean) value.

Measure the variability of data of the dataset

Variability describes how far apart data points lie from each other and from the center of a distribution.

1. Standard Deviation

Standard-Deviation-ADD-SOURCE-e838b9dcfb89406e836ccad58278f4cd.jpg

The standard deviation is the average amount of variability in your dataset.

It tells you, on average, how far each data point lies from the mean. The larger the standard deviation, the more variable the data set is and if zero variance then there is no variability in the dataset that means there no use of that dataset.

So, it helps in understanding the measurements when the data is distributed. The more the data is distributed, the greater will be the standard deviation of that data.Here, you as an individual can determine which company is beneficial in long term. But, if you didn’t know the SD you would have choosen a wrong compnay for you.

df.std()
Daily Time Spent on Site       15.704142  
Age                             8.572973  
Area Income                 13343.708718  
Daily Internet Usage           40.820951  
Clicked on Ad                   0.499956  
dtype: float64

We can also understand the standard deviation using the below function.

def std_cal(df,float64_lst):  

    cols = ['normal_value', 'zero_value']  
    zero_value = 0  
    normal_value = 0  

    for value in float64_lst:  

        rs = round(df[value].std(),6)  

        if rs > 0:  
            normal_value = normal_value + 1  

        elif rs == 0:  
            zero_value = zero_value + 1  

    std_total_df =  pd.DataFrame([[normal_value, zero_value]], columns=cols)   

    return std_total_df
std_cal(df, float64_lst)

png

int64_cols = ['int64']  
int64_lst = list(df.select_dtypes(include=int64_cols).columns)  
std_cal(df,int64_lst)

png

zero_value -> is the zero variance and when then there is no variability in the dataset that means there no use of that dataset.

2. Variance

The variance is the average of squared deviations from the mean. A deviation from the mean is how far a score lies from the mean.

Variance is the square of the standard deviation. This means that the units of variance are much larger than those of a typical value of a data set.

0_5NGAJWo_3-DsLKoV.png

Variance-TAERM-ADD-Source-464952914f77460a8139dbf20e14f0c0.jpg

Why do we used Variance ?

By Squairng the number we get non-negative computation i.e. Disperson cannot be negative. The presence of variance is very important in your dataset because this will allow the model to learn about the different patterns hidden in the data

df.var()
Daily Time Spent on Site    2.466201e+02  
Age                         7.349586e+01  
Area Income                 1.780546e+08  
Daily Internet Usage        1.666350e+03  
Clicked on Ad               2.499561e-01  
dtype: float64

We can also understand the Variance using the below function.

zero_cols = []  

def var_cal(df,float64_lst):  

    cols = ['normal_value', 'zero_value']  
    zero_value = 0  
    normal_value = 0  

    for value in float64_lst:  

        rs = round(df[value].var(),6)  

        if rs > 0:  
            normal_value = normal_value + 1  

        elif rs == 0:  
            zero_value = zero_value + 1  
            zero_cols.append(value)  

    var_total_df =  pd.DataFrame([[normal_value, zero_value]], columns=cols)   

    return var_total_df
var_cal(df, float64_lst)

png

var_cal(df, int64_lst)

png

zero_value -> Zero variance means that there is no difference in the data values, which means that they are all the same.

Measure central tendency

A measure of central tendency is a single value that attempts to describe a set of data by identifying the central position within that set of data. As such, measures of central tendency are sometimes called measures of central location. They are also classed as summary statistics.

1.Mean

Mean — The average value. Median — The mid point value. Mode — The most common value.

The mean is the arithmetic average, and it is probably the measure of central tendency that you are most familiar.

Why do we calculate mean?

The mean is used to summarize a data set. It is a measure of the center of a data set.

df.mean()
Daily Time Spent on Site       61.660757  
Age                            35.940100  
Area Income                 53840.047721  
Daily Internet Usage          177.759831  
Clicked on Ad                   0.491700  
dtype: float64

We can also understand the mean using the below function.

def mean_cal(df,int64_lst):  

    cols = ['normal_value', 'zero_value']  
    zero_value = 0  
    normal_value = 0  

    for value in int64_lst:  

        rs = round(df[value].mean(),6)  

        if rs > 0:  
            normal_value = normal_value + 1  

        elif rs == 0:  
            zero_value = zero_value + 1  

    mean_total_df =  pd.DataFrame([[normal_value, zero_value]], columns=cols)   

    return mean_total_df
mean_cal(df, int64_lst)

png

mean_cal(df,float64_lst)

png

zero_value -> that the mean of a paticular column is zero, which isn’t usefull in anyway and need to be drop.

2. Median

The median is the middle value. It is the value that splits the dataset in half.The median of a dataset is the value that, assuming the dataset is ordered from smallest to largest, falls in the middle. If there are an even number of values in a dataset, the middle two values are the median.

Why do we calculate median ?

By comparing the median to the mean, you can get an idea of the distribution of a dataset. When the mean and the median are the same, the dataset is more or less evenly distributed from the lowest to highest values.The median will depict that the patient below median is Malignent and above that are Benign.

df.median()
Daily Time Spent on Site       59.59  
Age                            35.00  
Area Income                 56180.93  
Daily Internet Usage          178.92  
Clicked on Ad                   0.00  
dtype: float64

We can also understand the median using the below function.

def median_cal(df,int64_lst):  

    cols = ['normal_value', 'zero_value']  
    zero_value = 0  
    normal_value = 0  

    for value in float64_lst:  

        rs = round(df[value].mean(),6)  

        if rs > 0:  
            normal_value = normal_value + 1  

        elif rs == 0:  
            zero_value = zero_value + 1  

    median_total_df =  pd.DataFrame([[normal_value, zero_value]], columns=cols)   

    return median_total_df
median_cal(df, float64_lst)

png

zero_value -> that the median of a paticular column is zero which isn’t usefull in anyway and need to be drop.

3. Mode

Why do we calculate mode ?

The mode can be used to summarize categorical variables, while the mean and median can be calculated only for numeric variables. This is the main advantage of the mode as a measure of central tendency. It’s also useful for discrete variables and for continuous variables when they are expressed as intervals.

df.mode()

png

def mode_cal(df,int64_lst):  

    cols = ['normal_value', 'zero_value', 'string_value']  
    zero_value = 0  
    normal_value = 0  
    string_value = 0  

    for value in float64_lst:  

        rs = df[value].mode()[0]  

        if isinstance(rs, str):  
            string_value = string_value + 1  
        else:  

            if rs > 0:  
                normal_value = normal_value + 1  

            elif rs == 0:  
                zero_value = zero_value + 1  

    mode_total_df =  pd.DataFrame([[normal_value, zero_value, string_value]], columns=cols)   

    return mode_total_df
mode_cal(df, list(df.columns))

png

zero_value -> that the mode of a paticular column is zero which isn’t usefull in anyway and need to be drop.

Null and Nan values

  1. Null Values

missing-values.png

A null value in a relational database is used when the value in a column is unknown or missing. A null is neither an empty string (for character or datetime data types) nor a zero value (for numeric data types).

df.isnull().sum()
Daily Time Spent on Site    0  
Age                         0  
Area Income                 0  
Daily Internet Usage        0  
Gender                      0  
Clicked on Ad               0  
dtype: int64

As we notice that there are no null values in our dataset.

  1. Nan Values

images.png

NaN, standing for Not a Number, is a member of a numeric data type that can be interpreted as a value that is undefined or unrepresentable, especially in floating-point arithmetic.

df.isna().sum()
Daily Time Spent on Site    0  
Age                         0  
Area Income                 0  
Daily Internet Usage        0  
Gender                      0  
Clicked on Ad               0  
dtype: int64

As we notice that there are no nan values in our dataset.

Another way to remove null and nan values is to use the method “df.dropna(inplace=True)”.

Count of unique occurences of every value in all categorical value

print(f"{'Gender':{10}} {df['Gender'].value_counts()}")
Gender     Female    5376  
Male      4624  
Name: Gender, dtype: int64
  • Categorical data are variables that contain label values rather than numeric values.The number of possible values is often limited to a fixed set.

  • Use Label Encoder to label the categorical data. Label Encoder is the part of SciKit Learn library in Python and used to convert categorical data, or text data, into numbers, which our predictive models can better understand.

Label Encoding refers to converting the labels into a numeric form so as to convert them into the machine-readable form. Machine learning algorithms can then decide in a better way how those labels must be operated. It is an important pre-processing step for the structured dataset in supervised learning.

#Before Encoding  
df['Gender']
0         Male  
1         Male  
2       Female  
3       Female  
4       Female  
         ...    
9995      Male  
9996      Male  
9997    Female  
9998    Female  
9999      Male  
Name: Gender, Length: 10000, dtype: object
#Encoding categorical data values  
from sklearn.preprocessing import LabelEncoder  
le = LabelEncoder()  
df.Gender = le.fit_transform(df.Gender)
#After encoding or converting categorical col values into numbers  
df['Gender']
0       1  
1       1  
2       0  
3       0  
4       0  
       ..  
9995    1  
9996    1  
9997    0  
9998    0  
9999    1  
Name: Gender, Length: 10000, dtype: int32

Skewness

Skewness is a measure of the asymmetry of a distribution. A distribution is asymmetrical when its left and right side are not mirror images. A distribution can have right (or positive), left (or negative), or zero skewness

Why do we calculate Skewness ?

Skewness gives the direction of the outliers if it is right-skewed, most of the outliers are present on the right side of the distribution while if it is left-skewed, most of the outliers will present on the left side of the distribution

Below is the function to calculate skewness.

def right_nor_left(df, int64_lst):  

    temp_skewness = ['column', 'skewness_value', 'skewness (+ve or -ve)']  
    temp_skewness_values  = []  

    temp_total = ["positive (+ve) skewed", "normal distrbution" , "negative (-ve) skewed"]  
    positive = 0  
    negative = 0  
    normal = 0  

    for value in float64_lst:  

        rs = round(df[value].skew(),4)  

        if rs > 0:  
            temp_skewness_values.append([value,rs , "positive (+ve) skewed"])     
            positive = positive + 1  

        elif rs == 0:  
            temp_skewness_values.append([value,rs,"normal distrbution"])  
            normal = normal + 1  

        elif rs < 0:  
            temp_skewness_values.append([value,rs, "negative (-ve) skewed"])  
            negative = negative + 1  

    skewness_df =  pd.DataFrame(temp_skewness_values, columns=temp_skewness)   
    skewness_total_df =  pd.DataFrame([[positive, normal, negative]], columns=temp_total)   

    return skewness_df, skewness_total_df
columns= df.columns.tolist()  
skew_df,skew_total_df = right_nor_left(df, columns)
skew_df

png

skew_total_df

png

We notice with the above results that we have following details:

  1. 3 columns are positive skewed

  2. 1 column is negative skewed

We observed that 1 column is negatively skewed so we have to transform it. We will use np.square() transformation method to transform it.

df['Area_income'] = np.square(df['Area Income'])
df['Area_income'].skew()
0.04290595002203702
df = df.drop(['Area Income'],axis=1)

Step 3 Insights: -

With the statistical analysis we have found that the data have a lot of skewness in them 3 columns are postive skewed and 1 is negative skewed.

Statistical analysis is little difficult to understand at one glance so to make it more understandable we will perform visulatization on the data which will help us to understand the process easily.

Why we are calculating all these metrics?

Mean / Median /Mode/ Variance /Standard Deviation are all very basic but very important concept of statistics used in data science. Almost all the machine learning algorithm uses these concepts in data preprocessing steps. These concepts are part of descriptive statistics where we basically used to describe and understand the data for features in Machine learning

columns = df.columns.tolist()  
columns
['Daily Time Spent on Site',  
 'Age',  
 'Daily Internet Usage',  
 'Gender',  
 'Clicked on Ad',  
 'Area_income']
sns.set(rc = {'figure.figsize':(25,20)})  
sns.countplot(x = df['Age'])
<Axes: xlabel='Age', ylabel='count'>

png

From the above graph we observed that the maximum number of people that clicked on the Advertisement were of the age 36 and the least were of age 20.This shows that people above age 30 are more likely to click on Ads.

sns.countplot(x = df['Gender'])
<Axes: xlabel='Gender', ylabel='count'>

png

The above graph shows that Female(0) are more likely to click on Ads than Males.

sns.countplot(x = df['Clicked on Ad'])
<Axes: xlabel='Clicked on Ad', ylabel='count'>

png

The above shows the count of clicked on Ad or not.The count of not clicked is slightly greater than clicked one.

Step 4: Data Exploration

Goal/Purpose:

Graphs we are going to develop in this step

  1. Histogram of all columns to check the distrubution of the columns

  2. Distplot or distribution plot of all columns to check the variation in the data distribution

  3. Heatmap to calculate correlation within feature variables

  4. Boxplot to find out outlier in the feature columns

1. Histogram

A histogram is a bar graph-like representation of data that buckets a range of classes into columns along the horizontal x-axis.The vertical y-axis represents the number count or percentage of occurrences in the data for each column

# Distribution in attributes  
%matplotlib inline  
import matplotlib.pyplot as plt  
df.hist(bins=50, figsize=(30,30))  
plt.show()

png

Histogram Insight: -

Histogram helps in identifying the following:

  • View the shape of your data set’s distribution to look for outliers or other significant data points.

  • Determine whether something significant has boccurred from one time period to another.

The average time spent on the Advertising company website is between 50–60 minutes. It means people almost spent there 5% time on advertising website only.Improving site User interface will increase the time spent.

The average daily internet usage on Advertising website is 125–150 megabytes.

Why Histogram?

It is used to illustrate the major features of the distribution of the data in a convenient form. It is also useful when dealing with large data sets (greater than 100 observations). It can help detect any unusual observations (outliers) or any gaps in the data.

From the above graphical representation we can identify that the highest bar represents the outliers which is above the maximum range.

We can also identify that the values are moving on the right side, which determines positive and the centered values determines normal skewness.

2. Distplot

A Distplot or distribution plot, depicts the variation in the data distribution. Seaborn Distplot represents the overall distribution of continuous data variables. The Seaborn module along with the Matplotlib module is used to depict the distplot with different variations in it

num = [f for f in df.columns if df.dtypes[f] != 'object']  
nd = pd.melt(df, value_vars = num)  
n1 = sns.FacetGrid (nd, col='variable', col_wrap=4, sharex=False, sharey = False)  
n1 = n1.map(sns.distplot, 'value')  
n1
<seaborn.axisgrid.FacetGrid at 0x28adfa966d0>

png

columns1 = df.columns.tolist()  
for i in columns1:  
    print(df[i].skew())
0.07001333101620606  
0.3562754676984694  
0.0007494935957058393  
0.15084969959033953  
0.033209556882693315  
0.04290595002203702

Distplot Insights: -

Above is the distrution bar graphs to confirm about the statistics of the data about the skewness, the above results are:

  1. 4 columns are positive skewed

  2. 1 column is added here i.e Clicked on Ad which is our target variable ~ which is also +ve skewed. In that case we’ll need to log transform this variable so that it becomes normally distributed. A normally distributed (or close to normal) target variable helps in better modeling the relationship between target and independent variables

Why Distplot?

Skewness is demonstrated on a bell curve when data points are not distributed symmetrically to the left and right sides of the median on a bell curve. If the bell curve is shifted to the left or the right, it is said to be skewed.

We can observe that the bell curve is shifted to left we indicates positive skewness.As all the column are positively skewed we don’t need to do scaling.

Let’s proceed and check the distribution of the target variable.

#+ve skewed   
df['Clicked on Ad'].skew()
0.033209556882693315

The target variable is positively skewed and its value is very close to 0 so no need to transform it.A normally distributed (or close to normal) target variable helps in better modeling the relationship between target and independent variables.

3. Heatmap

A heatmap (or heat map) is a graphical representation of data where values are depicted by color.Heatmaps make it easy to visualize complex data and understand it at a glance

Correlation — A positive correlation is a relationship between two variables in which both variables move in the same direction. Therefore, when one variable increases as the other variable increases, or one variable decreases while the other decreases.

Correlation can have a value:

  • 1 is a perfect positive correlation

  • 0 is no correlation (the values don’t seem linked at all)

  • -1 is a perfect negative correlation

#correlation plot  
sns.set(rc = {'figure.figsize':(25,20)})  
corr = df.corr().abs()  
sns.heatmap(corr,annot=True)   
plt.show()

png

Notice the last column from right side of this map. We can see the correlation of all variables against diagnosis. As you can see, some variables seem to be strongly correlated with the target variable. Here, a numeric correlation score will help us understand the graph better.

corr

png

Heatmap insights: -

As we know, it is recommended to avoid correlated features in your dataset. Indeed, a group of highly correlated features will not bring additional information (or just very few), but will increase the complexity of the algorithm, hence increasing the risk of errors.

Why Heatmap?

Heatmaps are used to show relationships between two variables, one plotted on each axis. By observing how cell colors change across each axis, you can observe if there are any patterns in value for one or both variables.

4. Boxplot

211626365402575-b88c4d0fdacd5abb4c3dc2de3bc004bb.png

A boxplot is a standardized way of displaying the distribution of data based on a five number summary (“minimum”, first quartile [Q1], median, third quartile [Q3] and “maximum”).

Basically, to find the outlier in a dataset/column.

features = ['Daily Time Spent on Site', 'Age', 'Daily Internet Usage','Gender','Clicked on Ad','Area_income']  
sns.boxplot(data=df)
<Axes: >

png

The dark points are known as Outliers. Outliers are those data points that are significantly different from the rest of the dataset. They are often abnormal observations that skew the data distribution, and arise due to inconsistent data entry, or erroneous observations.

Boxplot Insights: -

  • Sometimes outliers may be an error in the data and should be removed. In this case these points are correct readings yet they are different from the other points that they appear to be incorrect.

  • The best way to decide wether to remove them or not is to train models with and without these data points and compare their validation accuracy.

  • So we will keep it unchanged as it won’t affect our model.

Here, we can see that there are no outliers.

Why Boxplot?

Box plots are used to show distributions of numeric data values, especially when you want to compare them between multiple groups. They are built to provide high-level information at a glance, offering general information about a group of data’s symmetry, skew, variance, and outliers.

In the next step we will divide our cleaned data into training data and testing data.

Step 2: Data Preparation

Goal:-

Tasks we are going to in this step:

  1. Now we will spearate the target variable and feature columns in two different dataframe and will check the shape of the dataset for validation purpose.

  2. Split dataset into train and test dataset.

  3. Scaling on train dataset.

1. Now we spearate the target variable and feature columns in two different dataframe and will check the shape of the dataset for validation purpose.

# Separate target and feature column in X and y variable  

target = 'Clicked on Ad'  

# X will be the features  
X = df.drop(target,axis=1)   
#y will be the target variable  
y = df[target]
X.info()
<class 'pandas.core.frame.DataFrame'>  
RangeIndex: 10000 entries, 0 to 9999  
Data columns (total 5 columns):  
 #   Column                    Non-Null Count  Dtype    
---  ------                    --------------  -----    
 0   Daily Time Spent on Site  10000 non-null  float64  
 1   Age                       10000 non-null  float64  
 2   Daily Internet Usage      10000 non-null  float64  
 3   Gender                    10000 non-null  int32    
 4   Area_income               10000 non-null  float64  
dtypes: float64(4), int32(1)  
memory usage: 351.7 KB
y
0       0  
1       0  
2       0  
3       0  
4       1  
       ..  
9995    1  
9996    0  
9997    0  
9998    1  
9999    1  
Name: Clicked on Ad, Length: 10000, dtype: int64
# Check the shape of X and y variable  
X.shape, y.shape
((10000, 5), (10000,))
# Reshape the y variable   
y = y.values.reshape(-1,1)
# Again check the shape of X and y variable  
X.shape, y.shape
((10000, 5), (10000, 1))

2. Spliting the dataset in training and testing data.

Here we are spliting our dataset into 80/20 percentage where 80% dataset goes into the training part and 20% goes into testing part.

# Split the X and y into X_train, X_test, y_train, y_test variables with 80-20% split.  
X_train, X_test, y_train, y_test = train_test_split(X, y, test_size=0.2, random_state=42)
# Check shape of the splitted variables  
X_train.shape, X_test.shape, y_train.shape, y_test.shape
((8000, 5), (2000, 5), (8000, 1), (2000, 1))

Insights: -

Train test split technique is used to estimate the performance of machine learning algorithms which are used to make predictions on data not used to train the model.It is a fast and easy procedure to perform, the results of which allow you to compare the performance of machine learning algorithms for your predictive modeling problem. Although simple to use and interpret, there are times when the procedure should not be used, such as when you have a small dataset and situations where additional configuration is required, such as when it is used for classification and the dataset is not balanced.

In the next step we will train our model on the basis of our training and testing data.

Step 3: Model Training

Goal:

In this step we are going to train our dataset on different classification algorithms. As we know that our target variable is in discrete format so we have to apply classification algorithm. Target variable is a category like filtering.In our dataset we have the outcome variable or Dependent variable i.e Y having only two set of values, either M (Malign) or B(Benign). So we will use Classification algorithm**

Algorithms we are going to use in this step

  1. Logistic Regression

  2. K Nearest Neighbor

  3. Random Forest Classification

K-fold cross validation is a procedure used to estimate the skill of the model on new data. There are common tactics that you can use to select the value of k for your dataset. There are commonly used variations on cross-validation, such as stratified and repeated, that are available in scikit-learn

# Define kfold with 10 split  
cv = KFold(n_splits=10, shuffle=True, random_state=42)

The goal of cross-validation is to test the model’s ability to predict new data that was not used in estimating it, in order to flag problems like overfitting or selection bias and to give an insight on how the model will generalize to an independent dataset (i.e., an unknown dataset, for instance from a real problem).

1. Logistic Regression

Logistic regression is one of the most popular Machine Learning algorithms, which comes under the Supervised Learning technique. It is used for predicting the categorical dependent variable using a given set of independent variables.

Logistic regression predicts the output of a categorical dependent variable. Therefore the outcome must be a categorical or discrete value. It can be either Yes or No, 0 or 1, true or False, etc. but instead of giving the exact value as 0 and 1, it gives the probabilistic values which lie between 0 and 1.

Train set cross-validation

#Using Logistic Regression Algorithm to the Training Set  
from sklearn.linear_model import LogisticRegression  

log_R = LogisticRegression() #Object Creation  

log_R.fit(X_train, y_train)

LogisticRegression()

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LogisticRegression

LogisticRegression()

#Accuracy check of trainig data  

#Get R2 score  
log_R.score(X_train, y_train)
0.508625
#Accuracy of test data  
log_R.score(X_test, y_test)
0.507
# Getting kfold values  
lg_scores = -1 * cross_val_score(log_R,   
                                 X_train,   
                                 y_train,   
                                 cv=cv,   
                                 scoring='neg_root_mean_squared_error')  
lg_scores
array([0.7053368 , 0.69191763, 0.69910657, 0.69191763, 0.70887234,  
       0.678233  , 0.70887234, 0.70622234, 0.70710678, 0.71151247])
# Mean of the train kfold scores  
lg_score_train = np.mean(lg_scores)  
lg_score_train
0.7009097907502596

Prediction

Now we will perform prediction on the dataset using Logistic Regression.

# Predict the values on X_test_scaled dataset   
y_predicted = log_R.predict(X_test)

Various parameters are calculated for analysing the predictions.

  1. Confusion Matrix 2)Classification Report 3)Accuracy Score 4)Precision Score 5)Recall Score 6)F1 Score

Confusion Matrix

A confusion matrix presents a table layout of the different outcomes of the prediction and results of a classification problem and helps visualize its outcomes. It plots a table of all the predicted and actual values of a classifier.

confusion-matrix.jpeg

This diagram helps in understanding the concept of confusion matrix.

# Constructing the confusion matrix.  
from sklearn.metrics import confusion_matrix
#confusion matrix btw y_test and y_predicted  
cm = confusion_matrix(y_test,y_predicted)
sns.set(rc = {'figure.figsize':(5,5)})  
sns.heatmap(cm/np.sum(cm), annot=True,   
            fmt='.2%', cmap='Blues', cbar = False)
<Axes: >

png

Evaluating all kinds of evaluating parameters.

Classification Report :

A classification report is a performance evaluation metric in machine learning. It is used to show the precision, recall, F1 Score, and support of your trained classification model.

F1_score :

The F1 score is a machine learning metric that can be used in classification models.

Precision_score :

The precision is the ratio tp / (tp + fp) where tp is the number of true positives and fp the number of false positives. The precision is intuitively the ability of the classifier not to label as positive a sample that is negative. The best value is 1 and the worst value is 0.

Recall_score :

Recall score is used to measure the model performance in terms of measuring the count of true positives in a correct manner out of all the actual positive values. Precision-Recall score is a useful measure of success of prediction when the classes are very imbalanced.

# Evaluating the classifier  
# printing every score of the classifier  
# scoring in anything  
from sklearn.metrics import classification_report   
from sklearn.metrics import f1_score, accuracy_score, precision_score,recall_score  
from sklearn.metrics import confusion_matrix  


print("The model used is Logistic Regression")  

l_acc = accuracy_score(y_test, y_predicted)  
print("\nThe accuracy is: {}".format(l_acc))  

prec = precision_score(y_test, y_predicted)  
print("The precision is: {}".format(prec))  

rec = recall_score(y_test, y_predicted)  
print("The recall is: {}".format(rec))  

f1 = f1_score(y_test, y_predicted)  
print("The F1-Score is: {}".format(f1))  

c1 = classification_report(y_test, y_predicted)  
print("Classification Report is:")  
print()  
print(c1)
The model used is Logistic Regression  

The accuracy is: 0.507  
The precision is: 0.0  
The recall is: 0.0  
The F1-Score is: 0.0  
Classification Report is:  

              precision    recall  f1-score   support  

           0       0.51      1.00      0.67      1014  
           1       0.00      0.00      0.00       986  

    accuracy                           0.51      2000  
   macro avg       0.25      0.50      0.34      2000  
weighted avg       0.26      0.51      0.34      2000

2. K Nearest Neighbor

K-Nearest Neighbour is one of the simplest Machine Learning algorithms based on Supervised Learning technique. K-NN algorithm assumes the similarity between the new case/data and available cases and put the new case into the category that is most similar to the available categories. K-NN algorithm stores all the available data and classifies a new data point based on the similarity. This means when new data appears then it can be easily classified into a well suite category by using K- NN algorithm

#Using KNeighborsClassifier Method of neighbors class to use Nearest Neighbor algorithm  
from sklearn.neighbors import KNeighborsClassifier  
classifier = KNeighborsClassifier()  
classifier.fit(X_train, y_train)

KNeighborsClassifier()

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KNeighborsClassifier

KNeighborsClassifier()

#Accuracy check of trainig data  
#Get R2 score  
classifier.score(X_train, y_train)
0.833875
#Accuracy of test data  
classifier.score(X_test, y_test)
0.7625
#Get kfold values  
Nn_scores = -1 * cross_val_score(classifier,   
                                    X_train,   
                                    y_train,   
                                    cv=cv,   
                                    scoring='neg_root_mean_squared_error')  
Nn_scores
array([0.45825757, 0.47434165, 0.50249378, 0.4769696 , 0.50744458,  
       0.48989795, 0.4769696 , 0.48862051, 0.48733972, 0.49623583])
# Mean of the train kfold scores  
Nn_score_train = np.mean(Nn_scores)  
Nn_score_train
0.4858570783219808

Prediction

# Predict the values on X_test_scaled dataset   
y_predicted = classifier.predict(X_test)
# Constructing the confusion matrix.  
from sklearn.metrics import confusion_matrix
#Confusion matrix btw y_test and y_predicted  
cm = confusion_matrix(y_test,y_predicted)
sns.heatmap(cm/np.sum(cm), annot=True,   
            fmt='.2%', cmap='Blues', cbar = False)
<Axes: >

png

Evaluating all kinds of evaluating parameters.

# Evaluating the classifier  
# printing every score of the classifier  
# scoring in anything  
from sklearn.metrics import classification_report   
from sklearn.metrics import f1_score, accuracy_score, precision_score,recall_score  
from sklearn.metrics import confusion_matrix  


print("The model used is KNeighbors Classifier")  

k_acc = accuracy_score(y_test, y_predicted)  
print("\nThe accuracy is: {}".format(k_acc))  

prec = precision_score(y_test, y_predicted)  
print("The precision is: {}".format(prec))  

rec = recall_score(y_test, y_predicted)  
print("The recall is: {}".format(rec))  

f1 = f1_score(y_test, y_predicted)  
print("The F1-Score is: {}".format(f1))  

c1 = classification_report(y_test, y_predicted)  
print("Classification Report is:")  
print()  
print(c1)
The model used is KNeighbors Classifier  

The accuracy is: 0.7625  
The precision is: 0.7647668393782383  
The recall is: 0.7484787018255578  
The F1-Score is: 0.7565351101998976  
Classification Report is:  

              precision    recall  f1-score   support  

           0       0.76      0.78      0.77      1014  
           1       0.76      0.75      0.76       986  

    accuracy                           0.76      2000  
   macro avg       0.76      0.76      0.76      2000  
weighted avg       0.76      0.76      0.76      2000

3. Random Forest Classifier

Random Forest is a powerful and versatile supervised machine learning algorithm that grows and combines multiple decision trees to create a “forest.” It can be used for both classification and regression problems in R and Python.

Random Forest and Decision Tree Algorithm are considered best for the data that has outliers.

#Using RandomForestClassifier method of ensemble class to use Random Forest Classification algorithm  

from sklearn.ensemble import RandomForestClassifier  
#clas = RandomForestClassifier(n_estimators = 10, criterion = 'entropy', random_state = 0)  
clas = RandomForestClassifier()  
clas.fit(X_train, y_train)

RandomForestClassifier()

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RandomForestClassifier

RandomForestClassifier()

#Accuracy check of trainig data  
#Get R2 score  
clas.score(X_train, y_train)
0.9665
#Accuracy of test data  
clas.score(X_test, y_test)
0.777
# Get kfold values  
Dta_scores = -1 * cross_val_score(clas,   
                                    X_train,   
                                    y_train,   
                                    cv=cv,   
                                    scoring='neg_root_mean_squared_error')  
Dta_scores
array([0.47434165, 0.46770717, 0.46368092, 0.46097722, 0.47169906,  
       0.45961941, 0.49874843, 0.48862051, 0.44300113, 0.47037219])
# Mean of the train kfold scores  
Dta_score_train = np.mean(Dta_scores)  
Dta_score_train
0.46987676968317205

Prediction

# predict the values on X_test_scaled dataset   
y_predicted = clas.predict(X_test)
# Constructing the confusion matrix.  
from sklearn.metrics import confusion_matrix
#confusion matrix btw y_test and y_predicted  
cm = confusion_matrix(y_test,y_predicted)
sns.heatmap(cm/np.sum(cm), annot=True,   
            fmt='.2%', cmap='Blues', cbar = False)
<Axes: >

png

Evaluating all kinds of evaluating parameters.

# Evaluating the classifier  
# printing every score of the classifier  
# scoring in anything  
from sklearn.metrics import classification_report   
from sklearn.metrics import f1_score, accuracy_score, precision_score,recall_score  
from sklearn.metrics import confusion_matrix  


print("The model used is Random Forest Classifier")  

r_acc = accuracy_score(y_test, y_predicted)  
print("\nThe accuracy is {}".format(r_acc))  

prec = precision_score(y_test, y_predicted)  
print("The precision is {}".format(prec))  

rec = recall_score(y_test, y_predicted)  
print("The recall is {}".format(rec))  

f1 = f1_score(y_test, y_predicted)  
print("The F1-Score is {}".format(f1))  

c1 = classification_report(y_test, y_predicted)  
print("Classification Report is:")  
print()  
print(c1)
The model used is Random Forest Classifier  

The accuracy is 0.777  
The precision is 0.7830188679245284  
The recall is 0.757606490872211  
The F1-Score is 0.7701030927835052  
Classification Report is:  

              precision    recall  f1-score   support  

           0       0.77      0.80      0.78      1014  
           1       0.78      0.76      0.77       986  

    accuracy                           0.78      2000  
   macro avg       0.78      0.78      0.78      2000  
weighted avg       0.78      0.78      0.78      2000

Insight: -

cal_metric=pd.DataFrame([l_acc,k_acc,r_acc],columns=["Score in percentage"])  
cal_metric.index=['Logistic Regression',  
                  'K-nearest Neighbors',  
                  'Random Forest']  
cal_metric

png

  • As you can see with our Random Forest Model(0.9298 or 92.98%) we are getting a better result even for the recall (0.9069 or 90.69%) which is the most tricky part.

  • So we gonna save our model with Random Forest Algorithm

The low accuracy of the model is due the less correlation between the variables.

Step 4: Save Model

Goal:- In this step we are going to save our model in pickel format file.

import pickle  
pickle.dump(log_R , open('Click_through_prediction_Logistic.pkl', 'wb'))  
pickle.dump(classifier , open('Click_through_prediction_KNearest.pkl', 'wb'))  
pickle.dump(clas , open('Click_through_prediction_RandomForest.pkl', 'wb'))
import pickle  

def model_prediction(features):  

    pickled_model = pickle.load(open('Click_through_prediction_RandomForest.pkl', 'rb'))  
    Clicked = str(list(pickled_model.predict(features)))  

    return str(f'Clicked on Ad {Clicked}')

We can test our model by giving our own parameters or features to predict.

Daily_Time_Spent_on_Site = 23  
Age = 23  
Daily_Internet_Usage = 10  
Gender = 1  
Area_income = 10000
model_prediction([[Daily_Time_Spent_on_Site,Age,Daily_Internet_Usage,Gender,Area_income]])
'Clicked on Ad [0]'

1 = Yes, 0 = No

Conclusion

After observing the problem statement we have build an efficient model to overcome it. The above model helps in predicting the click through rate of a user whether the user clicked on Ad or not. It helps the advertising company in identifying the best customer for them. The accuracy for the prediction is 78%.

Checkout whole project codehere(github repo).

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