1. DEFINING THE QUESTION

a) Specifying the Question

Which individuals are most likely to click on an ad?

b) Defining the Metric of Success

Give conclusive recommendations based on the EDA results.

c) Understanding the Context

A Kenyan entrepreneur has created an online cryptography course and would want to advertise it on her blog. She currently targets audiences originating from various countries. In the past, she ran ads to advertise a related course on the same blog and collected data in the process. She would now like to identify which individuals are most likely to click on her ads.

d) Recording the Experimental Design

  1. Load, preview and understand the data
  2. Perform data cleaning and manipulation
  3. Perform Exploratory Data Analysis
  4. Give recommendations

2. READING THE DATA

library("data.table")
library(tidyverse)
## ── Attaching packages ─────────────────────────────────────── tidyverse 1.3.1 ──
## ✔ ggplot2 3.3.6     ✔ purrr   0.3.4
## ✔ tibble  3.1.7     ✔ dplyr   1.0.9
## ✔ tidyr   1.2.0     ✔ stringr 1.4.0
## ✔ readr   2.1.2     ✔ forcats 0.5.1
## ── Conflicts ────────────────────────────────────────── tidyverse_conflicts() ──
## ✖ dplyr::between()   masks data.table::between()
## ✖ dplyr::filter()    masks stats::filter()
## ✖ dplyr::first()     masks data.table::first()
## ✖ dplyr::lag()       masks stats::lag()
## ✖ dplyr::last()      masks data.table::last()
## ✖ purrr::transpose() masks data.table::transpose()
ads <- fread('http://bit.ly/IPAdvertisingData')
head(ads)
##    Daily Time Spent on Site Age Area Income Daily Internet Usage
## 1:                    68.95  35    61833.90               256.09
## 2:                    80.23  31    68441.85               193.77
## 3:                    69.47  26    59785.94               236.50
## 4:                    74.15  29    54806.18               245.89
## 5:                    68.37  35    73889.99               225.58
## 6:                    59.99  23    59761.56               226.74
##                            Ad Topic Line           City Male    Country
## 1:    Cloned 5thgeneration orchestration    Wrightburgh    0    Tunisia
## 2:    Monitored national standardization      West Jodi    1      Nauru
## 3:      Organic bottom-line service-desk       Davidton    0 San Marino
## 4: Triple-buffered reciprocal time-frame West Terrifurt    1      Italy
## 5:         Robust logistical utilization   South Manuel    0    Iceland
## 6:       Sharable client-driven software      Jamieberg    1     Norway
##              Timestamp Clicked on Ad
## 1: 2016-03-27 00:53:11             0
## 2: 2016-04-04 01:39:02             0
## 3: 2016-03-13 20:35:42             0
## 4: 2016-01-10 02:31:19             0
## 5: 2016-06-03 03:36:18             0
## 6: 2016-05-19 14:30:17             0
# view the whole dataset
View(ads)
# checking the datatype of each column
str(ads)
## Classes 'data.table' and 'data.frame':   1000 obs. of  10 variables:
##  $ Daily Time Spent on Site: num  69 80.2 69.5 74.2 68.4 ...
##  $ Age                     : int  35 31 26 29 35 23 33 48 30 20 ...
##  $ Area Income             : num  61834 68442 59786 54806 73890 ...
##  $ Daily Internet Usage    : num  256 194 236 246 226 ...
##  $ Ad Topic Line           : chr  "Cloned 5thgeneration orchestration" "Monitored national standardization" "Organic bottom-line service-desk" "Triple-buffered reciprocal time-frame" ...
##  $ City                    : chr  "Wrightburgh" "West Jodi" "Davidton" "West Terrifurt" ...
##  $ Male                    : int  0 1 0 1 0 1 0 1 1 1 ...
##  $ Country                 : chr  "Tunisia" "Nauru" "San Marino" "Italy" ...
##  $ Timestamp               : POSIXct, format: "2016-03-27 00:53:11" "2016-04-04 01:39:02" ...
##  $ Clicked on Ad           : int  0 0 0 0 0 0 0 1 0 0 ...
##  - attr(*, ".internal.selfref")=<externalptr>

3. Data Cleaning and Manipulation

Missing values

# check for missing values in the dataset
is.na(ads)
##         Daily Time Spent on Site   Age Area Income Daily Internet Usage
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##  [992,]                    FALSE FALSE       FALSE                FALSE
##  [993,]                    FALSE FALSE       FALSE                FALSE
##  [994,]                    FALSE FALSE       FALSE                FALSE
##  [995,]                    FALSE FALSE       FALSE                FALSE
##  [996,]                    FALSE FALSE       FALSE                FALSE
##  [997,]                    FALSE FALSE       FALSE                FALSE
##  [998,]                    FALSE FALSE       FALSE                FALSE
##  [999,]                    FALSE FALSE       FALSE                FALSE
## [1000,]                    FALSE FALSE       FALSE                FALSE
##         Ad Topic Line  City  Male Country Timestamp Clicked on Ad
##    [1,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##    [2,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##    [3,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##    [4,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##    [5,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##    [6,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##    [7,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##    [8,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##    [9,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##   [10,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##   [11,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##   [12,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##   [13,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##   [14,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##   [15,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##   [16,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##   [17,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##   [18,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##   [19,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##   [20,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##   [21,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##   [22,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##   [23,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##   [24,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##   [25,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##   [26,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##   [27,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##   [28,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##   [29,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##   [30,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##   [31,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##   [32,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##   [33,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##   [34,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##   [35,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##   [36,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##   [37,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##   [38,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##   [39,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##   [40,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##   [41,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##   [42,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##   [43,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##   [44,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##   [45,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##   [46,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##   [47,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##   [48,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##   [49,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##   [50,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##   [51,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##   [52,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##   [53,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##   [54,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##   [55,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##   [56,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##   [57,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##   [58,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##   [59,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##   [60,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##   [61,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##   [62,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##   [63,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##   [64,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##   [65,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##   [66,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##   [67,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##   [68,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##   [69,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##   [70,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##   [71,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##   [72,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##   [73,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##   [74,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##   [75,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##   [76,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##   [77,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##   [78,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##   [79,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##   [80,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##   [81,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##   [82,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##   [83,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##   [84,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##   [85,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##   [86,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##   [87,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##   [88,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##   [89,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##   [90,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##   [91,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##   [92,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##   [93,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##   [94,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##   [95,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##   [96,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##   [97,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##   [98,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##   [99,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [100,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [101,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [102,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [103,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [104,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [105,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [106,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [107,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [108,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [109,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [110,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [111,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [112,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [113,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [114,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [115,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [116,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [117,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [118,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [119,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [120,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [121,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [122,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [123,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [124,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [125,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [126,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [127,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [128,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [129,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [130,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [131,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [132,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [133,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [134,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [135,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [136,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [137,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [138,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [139,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [140,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [141,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [142,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [143,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [144,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [145,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [146,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [147,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [148,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [149,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [150,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [151,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [152,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [153,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [154,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [155,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [156,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [157,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [158,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [159,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [160,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [161,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [162,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [163,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [164,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [165,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [166,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [167,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [168,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [169,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [170,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [171,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [172,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [173,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [174,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [175,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [176,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [177,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [178,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [179,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [180,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [181,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [182,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [183,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [184,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [185,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [186,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [187,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [188,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [189,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [190,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [191,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [192,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [193,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [194,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [195,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [196,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [197,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [198,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [199,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [200,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [201,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [202,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [203,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [204,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [205,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [206,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [207,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [208,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [209,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [210,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [211,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [212,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [213,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [214,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [215,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [216,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [217,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [218,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [219,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [220,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [221,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [222,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [223,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [224,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [225,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [226,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [227,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [228,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [229,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [230,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [231,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [232,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [233,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [234,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [235,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [236,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [237,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [238,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [239,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [240,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [241,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [242,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [243,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [244,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [245,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [246,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [247,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [248,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [249,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [250,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [251,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [252,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [253,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [254,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [255,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [256,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [257,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [258,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [259,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [260,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [261,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [262,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [263,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [264,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [265,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [266,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [267,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [268,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [269,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [270,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [271,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [272,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [273,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [274,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [275,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [276,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [277,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [278,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [279,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [280,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [281,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [282,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [283,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [284,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [285,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [286,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [287,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [288,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [289,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [290,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [291,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [292,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [293,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [294,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [295,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [296,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [297,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [298,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [299,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [300,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [301,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [302,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [303,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [304,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [305,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [306,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [307,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [308,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [309,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [310,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [311,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [312,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [313,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [314,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [315,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [316,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [317,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [318,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [319,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [320,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [321,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [322,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [323,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [324,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [325,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [326,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [327,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [328,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [329,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [330,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [331,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [332,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [333,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [334,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [335,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [336,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [337,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [338,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [339,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [340,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [341,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [342,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [343,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [344,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [345,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [346,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [347,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [348,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [349,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [350,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [351,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [352,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [353,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [354,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [355,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [356,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [357,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [358,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [359,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [360,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [361,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [362,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [363,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [364,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [365,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [366,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [367,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [368,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [369,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [370,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [371,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [372,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [373,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [374,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [375,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [376,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [377,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [378,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [379,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [380,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [381,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [382,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [383,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [384,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [385,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [386,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [387,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [388,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [389,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [390,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [391,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [392,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [393,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [394,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [395,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [396,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [397,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [398,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [399,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [400,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [401,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [402,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [403,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [404,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [405,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [406,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [407,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [408,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [409,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [410,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [411,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [412,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [413,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [414,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [415,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [416,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [417,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [418,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [419,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [420,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [421,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [422,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [423,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [424,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [425,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [426,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [427,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [428,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [429,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [430,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [431,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [432,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [433,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [434,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [435,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [436,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [437,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [438,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [439,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [440,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [441,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [442,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [443,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [444,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [445,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [446,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [447,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [448,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [449,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [450,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [451,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
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##  [454,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
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##  [459,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [460,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [461,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
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##  [463,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
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##  [465,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
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##  [467,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [468,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
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##  [472,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [473,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
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##  [475,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [476,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
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##  [480,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [481,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [482,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [483,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [484,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [485,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [486,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [487,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [488,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [489,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [490,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [491,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [492,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
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##  [495,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [496,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
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##  [499,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [500,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
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##  [506,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
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##  [519,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [520,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
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##  [525,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
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##  [531,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
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##  [540,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [541,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
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##  [547,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
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##  [558,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [559,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
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##  [564,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
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##  [566,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
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##  [582,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
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##  [586,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [587,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
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##  [594,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
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##  [600,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
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##  [610,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
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##  [614,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [615,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
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##  [621,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
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##  [629,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
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##  [631,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
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##  [665,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
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##  [668,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
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##  [671,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
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##  [728,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
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##  [731,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
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##  [733,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
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##  [740,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
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##  [746,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
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##  [754,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
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##  [762,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [763,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
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##  [766,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
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##  [770,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
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##  [775,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
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##  [782,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
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##  [785,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
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##  [787,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [788,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
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##  [792,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [793,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [794,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
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##  [797,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [798,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
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##  [800,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [801,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [802,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
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##  [810,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [811,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [812,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [813,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [814,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [815,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [816,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [817,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [818,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [819,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [820,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [821,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [822,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [823,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [824,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [825,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [826,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [827,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [828,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [829,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [830,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [831,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [832,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [833,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [834,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [835,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [836,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [837,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [838,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [839,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [840,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [841,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [842,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [843,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [844,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
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##  [847,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [848,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
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##  [850,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
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##  [852,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [853,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
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##  [856,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [857,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
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##  [861,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [862,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [863,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
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##  [865,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [866,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [867,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
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##  [871,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [872,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
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##  [875,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
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##  [880,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
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##  [885,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [886,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
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##  [888,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
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##  [891,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
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##  [893,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [894,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [895,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [896,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
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##  [984,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
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##  [989,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
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##  [994,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [995,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [996,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [997,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [998,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
##  [999,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
## [1000,]         FALSE FALSE FALSE   FALSE     FALSE         FALSE
# Check for sum of missing values per column
colSums(is.na(ads))
## Daily Time Spent on Site                      Age              Area Income 
##                        0                        0                        0 
##     Daily Internet Usage            Ad Topic Line                     City 
##                        0                        0                        0 
##                     Male                  Country                Timestamp 
##                        0                        0                        0 
##            Clicked on Ad 
##                        0

The results from checking for missing values in the whole dataset, there seemed to be none. This was confirmed by checking for the sum of missing values in the columns.

Duplicates

# Identifying any duplicated records 
duplicates <- ads[duplicated(ads),]
duplicates
## Empty data.table (0 rows and 10 cols): Daily Time Spent on Site,Age,Area Income,Daily Internet Usage,Ad Topic Line,City...

There are no duplicates in the dataset

Outliers

# boxplot to visualize any outliers in the age column
boxplot(ads$Age)

There are no outliers in the age column.

# boxplot to visualize any outliers in the daily time spent on site column
boxplot(ads$'Daily Time Spent on Site')

There are no outliers in the daily time spent on site column.

# boxplot to visualize any outliers in the daily internet usage column
boxplot(ads$'Daily Internet Usage')

There are no outliers in the daily internet usage column.

# boxplot to visualize any outliers in the area income column
boxplot(ads$'Area Income')

There are outliers in the area income column, which I’m not going to remove as it might interfere with analysis.

4. Exploratory Data Analysis

Univariate Analysis

# Summary Statistics
summary(ads)
##  Daily Time Spent on Site      Age         Area Income    Daily Internet Usage
##  Min.   :32.60            Min.   :19.00   Min.   :13996   Min.   :104.8       
##  1st Qu.:51.36            1st Qu.:29.00   1st Qu.:47032   1st Qu.:138.8       
##  Median :68.22            Median :35.00   Median :57012   Median :183.1       
##  Mean   :65.00            Mean   :36.01   Mean   :55000   Mean   :180.0       
##  3rd Qu.:78.55            3rd Qu.:42.00   3rd Qu.:65471   3rd Qu.:218.8       
##  Max.   :91.43            Max.   :61.00   Max.   :79485   Max.   :270.0       
##  Ad Topic Line          City                Male         Country         
##  Length:1000        Length:1000        Min.   :0.000   Length:1000       
##  Class :character   Class :character   1st Qu.:0.000   Class :character  
##  Mode  :character   Mode  :character   Median :0.000   Mode  :character  
##                                        Mean   :0.481                     
##                                        3rd Qu.:1.000                     
##                                        Max.   :1.000                     
##    Timestamp                   Clicked on Ad
##  Min.   :2016-01-01 02:52:10   Min.   :0.0  
##  1st Qu.:2016-02-18 02:55:42   1st Qu.:0.0  
##  Median :2016-04-07 17:27:29   Median :0.5  
##  Mean   :2016-04-10 10:34:06   Mean   :0.5  
##  3rd Qu.:2016-05-31 03:18:14   3rd Qu.:1.0  
##  Max.   :2016-07-24 00:22:16   Max.   :1.0

From the output above, we can deduce the following: - The mean daily time spent on site is 65.00 - The mean age is 36 - The mean area income is 55000 - The mean daily internet usage is 180.0

  • The median daily time spent on site is 68.22

  • The median age is 35

  • The median area income is 57012

  • The median daily internet usage is 183.1

  • The maximum and minimum daily time spent on site are 91.43 and 32.60

  • The maximum and minimum age are 61 and 19

  • The maximum and minimum area income are 79485 and 13996

  • The maximum and minimum daily internet usage are 270.0 and 104.8

  • The first and third quartiles in daily time spent on site are 51.36 and 78.55

  • The first and third quartiles in age are 29 and 42

  • The first and third quartiles in area income are 47032 and 65471

  • The first and third quartiles in daily internet usage are 138.8 and 218.8

# getting the mode
getmode <- function(v) {
   uniqv <- unique(v)
   uniqv[which.max(tabulate(match(v, uniqv)))]
}

age.mode <- getmode(ads$Age)
age.mode
## [1] 31
time.mode <- getmode(ads$`Daily Time Spent on Site`)
time.mode
## [1] 62.26
income.mode <- getmode(ads$`Area Income`)
income.mode
## [1] 61833.9
usage.mode <- getmode(ads$`Daily Internet Usage`)
usage.mode
## [1] 167.22
  • The most popular age is 31
  • The most people spend 62.26 on a site
  • The most popular area income is 61833.9
  • The most people spend 167.22 on internet access
# getting the range
age.range <- max(ads$Age) - min(ads$Age)
age.range
## [1] 42
time.range <- max(ads$`Daily Time Spent on Site`) - min(ads$`Daily Time Spent on Site`)
time.range
## [1] 58.83
income.range <- max(ads$`Area Income`) - min(ads$`Area Income`)
income.range
## [1] 65488.3
usage.range <- max(ads$`Daily Internet Usage`) - min(ads$`Daily Internet Usage`)
usage.range
## [1] 165.18
# getting the variance (how the data values is dispersed around the mean)
age.var <- var(ads$Age)
age.var
## [1] 77.18611
time.var <- var(ads$`Daily Time Spent on Site`) 
time.var
## [1] 251.3371
income.var <- var(ads$`Area Income`) 
income.var
## [1] 179952406
usage.var <- var(ads$`Daily Internet Usage`) 
usage.var
## [1] 1927.415
# getting the standard deviation
age.stdev <- sd(ads$Age)
age.stdev
## [1] 8.785562
time.stdev <- sd(ads$`Daily Time Spent on Site`) 
time.stdev
## [1] 15.85361
income.stdev <- sd(ads$`Area Income`) 
income.stdev
## [1] 13414.63
usage.stdev <- sd(ads$`Daily Internet Usage`) 
usage.stdev
## [1] 43.90234
# plotting a histogram for age 
hist(ads$Age)

Most people who clicked on the ads are between 25 and 40 years and the distribution is skewed to the right.

# plotting a bar graph for male
sex <- ads$Male

sex_freq <- table(sex)
sex_freq
## sex
##   0   1 
## 519 481
barplot(sex_freq)

There are more females than males clicking on the ads

# plotting a bar graph for clicked on ad
click <- ads$`Clicked on Ad`

click_freq <- table(click)
click_freq
## click
##   0   1 
## 500 500
barplot(click_freq)

The frequency of clicking on an ad or not is the same

# plotting a histogram for daily time spent on site  
hist(ads$`Daily Time Spent on Site`)

Most people spend between 75 and 85 units of time on a site with the ad

# plotting a histogram for area income 
hist(ads$`Area Income`)

The distribution for area income is skewed to the left with most incomes being between 50000 and 70000

# plotting a histogram for daily internet usage 
hist(ads$`Daily Internet Usage`)

Bivariate Analysis

# covariance
cov(ads$`Daily Time Spent on Site`, ads$Age)
## [1] -46.17415
cov(ads$`Daily Time Spent on Site`, ads$`Area Income`)
## [1] 66130.81
cov(ads$`Daily Time Spent on Site`, ads$`Daily Internet Usage`)
## [1] 360.9919
cov(ads$`Daily Time Spent on Site`, ads$`Clicked on Ad`)
## [1] -5.933143
cov(ads$`Daily Time Spent on Site`, ads$Male)
## [1] -0.1501864
cov(ads$Age, ads$`Area Income`)
## [1] -21520.93
cov(ads$Age, ads$`Daily Internet Usage`)
## [1] -141.6348
cov(ads$Age, ads$`Clicked on Ad`)
## [1] 2.164665
cov(ads$Age, ads$Male)
## [1] -0.09242142
cov(ads$`Area Income`, ads$`Daily Internet Usage`)
## [1] 198762.5
cov(ads$`Area Income`, ads$`Clicked on Ad`)
## [1] -3195.989
cov(ads$`Area Income`, ads$Male)
## [1] 8.867509
cov(ads$`Clicked on Ad`, ads$Male)
## [1] -0.00950951

The covariance between daily time spent on site, area income and daily internet usage are positive indicating a positive linear relationship between the variables. The covariance between age, daily time spent on site, area income and daily internet usage are negative, indicating a negative linear relationship between the variables. The covariance between area income and clicking on ad is negative, indicating a negative linear relationship between the variables.

# Correlation Coefficient 
cor(ads$`Daily Time Spent on Site`, ads$Age)
## [1] -0.3315133
cor(ads$`Daily Time Spent on Site`, ads$`Area Income`)
## [1] 0.3109544
cor(ads$`Daily Time Spent on Site`, ads$`Daily Internet Usage`)
## [1] 0.5186585
cor(ads$`Daily Time Spent on Site`, ads$`Clicked on Ad`)
## [1] -0.7481166
cor(ads$`Daily Time Spent on Site`, ads$Male)
## [1] -0.01895085
cor(ads$Age, ads$`Area Income`)
## [1] -0.182605
cor(ads$Age, ads$`Daily Internet Usage`)
## [1] -0.3672086
cor(ads$Age, ads$`Clicked on Ad`)
## [1] 0.4925313
cor(ads$Age, ads$Male)
## [1] -0.02104406
cor(ads$`Area Income`, ads$`Daily Internet Usage`)
## [1] 0.3374955
cor(ads$`Area Income`, ads$`Clicked on Ad`)
## [1] -0.4762546
cor(ads$`Area Income`, ads$Male)
## [1] 0.001322359
cor(ads$`Clicked on Ad`, ads$Male)
## [1] -0.03802747

Most of the variables are negatively linearly correlated or weakly correlated.

# Computing correlation
x = ads%>%
#x <- cor
select(`Daily Time Spent on Site`, Age,`Area Income`, `Daily Internet Usage`, Male, `Clicked on Ad`)
corr = cor(x)
corr
##                          Daily Time Spent on Site         Age  Area Income
## Daily Time Spent on Site               1.00000000 -0.33151334  0.310954413
## Age                                   -0.33151334  1.00000000 -0.182604955
## Area Income                            0.31095441 -0.18260496  1.000000000
## Daily Internet Usage                   0.51865848 -0.36720856  0.337495533
## Male                                  -0.01895085 -0.02104406  0.001322359
## Clicked on Ad                         -0.74811656  0.49253127 -0.476254628
##                          Daily Internet Usage         Male Clicked on Ad
## Daily Time Spent on Site           0.51865848 -0.018950855   -0.74811656
## Age                               -0.36720856 -0.021044064    0.49253127
## Area Income                        0.33749553  0.001322359   -0.47625463
## Daily Internet Usage               1.00000000  0.028012326   -0.78653918
## Male                               0.02801233  1.000000000   -0.03802747
## Clicked on Ad                     -0.78653918 -0.038027466    1.00000000
library(corrplot)
## corrplot 0.92 loaded
corrplot(corr, method="number", sig.level = 0.01, insig = "blank")

plot(ads$`Daily Time Spent on Site`, ads$`Area Income`, xlab="Daily Time Spent on Site", ylab="Area Income")

plot(ads$`Daily Time Spent on Site`, ads$`Daily Internet Usage`, xlab="Daily Time Spent on Site", ylab="Daily Internet Usage")

plot(ads$Age, ads$`Clicked on Ad`, xlab="Age", ylab="Clicked on ad")

# order data based on clicked on ad
ads_sort <- ads[order(ads$`Clicked on Ad`), ]             
ads_sort
##       Daily Time Spent on Site Age Area Income Daily Internet Usage
##    1:                    68.95  35    61833.90               256.09
##    2:                    80.23  31    68441.85               193.77
##    3:                    69.47  26    59785.94               236.50
##    4:                    74.15  29    54806.18               245.89
##    5:                    68.37  35    73889.99               225.58
##   ---                                                              
##  996:                    43.70  28    63126.96               173.01
##  997:                    72.97  30    71384.57               208.58
##  998:                    51.30  45    67782.17               134.42
##  999:                    51.63  51    42415.72               120.37
## 1000:                    45.01  26    29875.80               178.35
##                               Ad Topic Line           City Male
##    1:    Cloned 5thgeneration orchestration    Wrightburgh    0
##    2:    Monitored national standardization      West Jodi    1
##    3:      Organic bottom-line service-desk       Davidton    0
##    4: Triple-buffered reciprocal time-frame West Terrifurt    1
##    5:         Robust logistical utilization   South Manuel    0
##   ---                                                          
##  996:         Front-line bifurcated ability   Nicholasland    0
##  997:         Fundamental modular algorithm      Duffystad    1
##  998:       Grass-roots cohesive monitoring    New Darlene    1
##  999:          Expanded intangible solution  South Jessica    1
## 1000:       Virtual 5thgeneration emulation    Ronniemouth    0
##                      Country           Timestamp Clicked on Ad
##    1:                Tunisia 2016-03-27 00:53:11             0
##    2:                  Nauru 2016-04-04 01:39:02             0
##    3:             San Marino 2016-03-13 20:35:42             0
##    4:                  Italy 2016-01-10 02:31:19             0
##    5:                Iceland 2016-06-03 03:36:18             0
##   ---                                                         
##  996:                Mayotte 2016-04-04 03:57:48             1
##  997:                Lebanon 2016-02-11 21:49:00             1
##  998: Bosnia and Herzegovina 2016-04-22 02:07:01             1
##  999:               Mongolia 2016-02-01 17:24:57             1
## 1000:                 Brazil 2016-06-03 21:43:21             1
# getting the top 10 countries with the maximum number of ad clicks
library(dplyr)
 
group.country.adline = ads %>% group_by(Country) %>%
                   summarise(total_clicks = sum(`Clicked on Ad`),
                             .groups = 'drop')
group.country.adline %>% arrange(desc(total_clicks))
## # A tibble: 237 × 2
##    Country       total_clicks
##    <chr>                <int>
##  1 Australia                7
##  2 Ethiopia                 7
##  3 Turkey                   7
##  4 Liberia                  6
##  5 Liechtenstein            6
##  6 South Africa             6
##  7 Afghanistan              5
##  8 France                   5
##  9 Hungary                  5
## 10 Mayotte                  5
## # … with 227 more rows
View(group.country.adline)

The top 10 countries with the most ad clicks are Australia, Ethiopia, Turkey, Liberia, Liechtenstein, South Africa, Afghanistan, France, Hungary and Mayotte

# getting the top 10 cities with the maximum number of ad clicks
library(dplyr)
 
group.city = ads %>% group_by(City) %>%
                   summarise(total_clicks = sum(`Clicked on Ad`),
                             .groups = 'drop')
group.city %>% arrange(desc(total_clicks))
## # A tibble: 969 × 2
##    City         total_clicks
##    <chr>               <int>
##  1 Lake David              2
##  2 Lake James              2
##  3 Lisamouth               2
##  4 Michelleside            2
##  5 Millerbury              2
##  6 Robertfurt              2
##  7 South Lisa              2
##  8 West Amanda             2
##  9 West Shannon            2
## 10 Williamsport            2
## # … with 959 more rows
View(group.city)

The top 10 cities with the most ad clicks are Lake David, Lake James, Lisamouth, Michelleside, Millerbury, Robertfurt, South Lisa, West Amanda, West Shannon, Williamsport

# getting the top 10 ad topic lines with the maximum number of ad clicks
library(dplyr)
 
group.ad = ads %>% group_by(`Ad Topic Line`) %>%
                   summarise(total_clicks = sum(`Clicked on Ad`),
                             .groups = 'drop')
group.ad %>% arrange(desc(total_clicks))
## # A tibble: 1,000 × 2
##    `Ad Topic Line`                             total_clicks
##    <chr>                                              <int>
##  1 Adaptive asynchronous attitude                         1
##  2 Adaptive context-sensitive application                 1
##  3 Adaptive contextually-based methodology                1
##  4 Adaptive demand-driven knowledgebase                   1
##  5 Adaptive uniform capability                            1
##  6 Advanced 24/7 productivity                             1
##  7 Advanced disintermediate data-warehouse                1
##  8 Advanced systemic productivity                         1
##  9 Advanced web-enabled standardization                   1
## 10 Ameliorated bandwidth-monitored contingency            1
## # … with 990 more rows
View(group.ad)

5. RECOMMENDATIONS

Based on the EDA results above, I recommend the following: - The entrepreneur should target audiences from the top 10 countries, which are Australia, Ethiopia, Turkey, Liberia, Liechtenstein, South Africa, Afghanistan, France, Hungary and Mayotte, to get a good number of clicks on her ads. - The ads should target audiences between the ages of 25 and 40 as they proved more interested in the ads on the blog. - More females than males were seen to be clicking more on the ads. I would suggest that females be given the top priority in the target list. - Most people with an income of between 50000 and 70000 were noted to be very interested with the ads. This group of the audience should also be targeted when advertising the course. - The audience who spent between 75 and 85 units of time were also noted to be more drawn towards clicking an ad. These should also be targeted.