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store.df <- read.csv(paste("StoreData.csv", sep=""))
3.Output the summary statistics of sales of Product2- Pepsi
summary(store.df$p2sales)
## Min. 1st Qu. Median Mean 3rd Qu. Max.
## 51.0 84.0 96.0 100.2 113.0 225.0
4.Table aggregating the sales of Product 2 (Pepsi) in the presence / absence of promotions.
Aggregate sales in presence of promotions
promotion <- store.df[store.df$p2prom == 1 ,]
Totalsales2 <- sum(promotion$p2sales)
Totalsales2
## [1] 38667
Aggregate sales in absence of promotions
promotion <- store.df[store.df$p2prom == 0 ,]
Totalsales2 <- sum(promotion$p2sales)
Totalsales2
## [1] 169659
nrow(store.df)
## [1] 2080
ncol(store.df)
## [1] 10
colnames(store.df)
## [1] "storeNum" "Year" "Week" "p1sales" "p2sales" "p1price"
## [7] "p2price" "p1prom" "p2prom" "country"
str(store.df)
## 'data.frame': 2080 obs. of 10 variables:
## $ storeNum: int 101 101 101 101 101 101 101 101 101 101 ...
## $ Year : int 1 1 1 1 1 1 1 1 1 1 ...
## $ Week : int 1 2 3 4 5 6 7 8 9 10 ...
## $ p1sales : int 127 137 156 117 138 115 116 106 116 145 ...
## $ p2sales : int 106 105 97 106 100 127 90 126 94 91 ...
## $ p1price : num 2.29 2.49 2.99 2.99 2.49 2.79 2.99 2.99 2.29 2.49 ...
## $ p2price : num 2.29 2.49 2.99 3.19 2.59 2.49 3.19 2.29 2.29 2.99 ...
## $ p1prom : int 0 0 1 0 0 0 0 0 0 0 ...
## $ p2prom : int 0 0 0 0 1 0 0 0 0 0 ...
## $ country : Factor w/ 7 levels "AU","BR","CN",..: 7 7 7 7 7 7 7 7 7 7 ...
For Column Year
years=store.df$Year
years.f <- factor(years, labels = c("First year", "Second Year"))
years.f
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## Levels: First year Second Year
For Column p1prom
p1proms=store.df$p1prom
p1proms.f <- factor(p1proms, labels = c("No", "Yes"))
p1proms.f
## [1] No No Yes No No No No No No No No No No No No No No
## [18] No No No No No No No No No No No No Yes No No No Yes
## [35] No Yes No No No No No Yes No No No No No No No No No
## [52] No No No No No Yes No No No No No No No No No No No
## [69] No No No No No No No No No Yes No No No No No No No
## [86] No No No No No No No No No No No No No No No No No
## [103] Yes No No No No No No No No No Yes No No No No No Yes
## [120] No No No No No No No No No Yes No No No No No No No
## [137] No No No No No No No No No No No No No No No No No
## [154] No No No No Yes No No No No No No No No No No No No
## [171] No No No No No No No No No No No No No No No Yes No
## [188] No No No No No No No No No No No No Yes No No Yes No
## [205] No No No No No No No No No No No No Yes No No No No
## [222] No Yes No No No Yes No No No No Yes No No No No No Yes
## [239] No No No No No No No Yes No No No No No No No No No
## [256] No No No No No No No No No No No No No No Yes No No
## [273] No No Yes No No No No No No No No No No No Yes No Yes
## [290] No No No No No No No Yes No No No No No No No No Yes
## [307] No No No No No No No No No No No No No Yes No No No
## [324] No No No No No No No No No No No No No No No No No
## [341] No No No No No No No No No No No No No No No No No
## [358] No No No No No No No No No No No No No No No No No
## [375] No No No No No No No No No No No Yes No No No No No
## [392] No No No No No No No Yes No No No No No No No No No
## [409] No No No No No No No No No No No No Yes No No No No
## [426] No No No No No No No No No No No No Yes No No Yes No
## [443] No No Yes No Yes No No No Yes No No No No No No No No
## [460] Yes No No No No No No No No Yes No No No No No No No
## [477] No No No No No No No No No No Yes No No No No No No
## [494] No No Yes No No No No Yes No No No No Yes No No No No
## [511] No No No No No No No No No No No No Yes No No No No
## [528] No No Yes No No No No Yes No No Yes No No No No No No
## [545] No No No Yes No No No No No No No No No No No No No
## [562] No No No No No No No No No No No No No No No No No
## [579] No No No No No No No No No No No No No No No No No
## [596] No No No No No No Yes No No No No No No Yes No No No
## [613] No No Yes No No No Yes No No No No No Yes No No No No
## [630] No Yes No No No No No No Yes No No No No No No No Yes
## [647] No No No No No No Yes No No No No No Yes No No No No
## [664] No No No No Yes No No No No No No No No No No No No
## [681] No No No No No No No No No No No Yes No No No No No
## [698] No No No No Yes No No No No No No No No No No No No
## [715] No No No No No No No No No No No No No No No No No
## [732] No Yes No No No No No No Yes Yes No No No Yes No No No
## [749] No No No No No No No Yes Yes No No No No No No Yes No
## [766] No No No No No No No No No Yes No Yes No No No No No
## [783] No No Yes No No No No No Yes No No No No No No No No
## [800] No No No No No Yes No No Yes Yes No No No No No No No
## [817] No No No Yes No No No No Yes No No No No No Yes No No
## [834] No No No No No No No No No No No No No No No No No
## [851] No No No No No No Yes No No No No No No No No No No
## [868] No No Yes No No No No No No Yes No No No No No No No
## [885] No No No No No No Yes No No No No No No Yes No No No
## [902] Yes No No No No No No No No No No No Yes No No No No
## [919] No No No No No No No No No No No No No No Yes No No
## [936] No No No No No No No No No Yes No No No No No No No
## [953] No No No No No No No No No No No No No No No No No
## [970] No No No No No No No No No No No No No Yes No No No
## [987] Yes No No No No No No No No No No No No No No No No
## [1004] No No No No No No No No No No No Yes No No No No No
## [1021] No No No No Yes No No Yes No No No No No No No Yes No
## [1038] No No No No No No No No Yes Yes No No No No No No No
## [1055] No No No No No No No No No No No No No No No No No
## [1072] No No No No No No No No No No No Yes Yes No No No No
## [1089] No No No No No No No No No No No No No No No No No
## [1106] No No No Yes No No No No No No No No Yes No No No No
## [1123] No No No No No No No Yes No No No No No No No No No
## [1140] No No No No No No No No No Yes No No No No No Yes No
## [1157] No No No Yes No No No No No No No No No No No No No
## [1174] No No No No No No No No No Yes No Yes Yes No No No No
## [1191] No No Yes No No No No No No No No No No No No No No
## [1208] No No No Yes No No No No No No No No No No No No No
## [1225] No No No No No No Yes No No No No No No No No No No
## [1242] No No Yes No No No No No No No No No No No Yes No No
## [1259] No Yes No No No No No No No No No No No Yes No No No
## [1276] No No No No Yes No No No No Yes Yes Yes No No No Yes No
## [1293] No No No No No No Yes No No No No Yes No No No Yes No
## [1310] No No No No No No No No No No No No No No No No No
## [1327] No No No Yes No No No No No No Yes No No Yes No No No
## [1344] No No No No No No Yes No No No No No No No No No No
## [1361] No No No No No No No No No No No No No No No No No
## [1378] No No No No No No No No No No No No No Yes No No No
## [1395] No No No No No No No No No No No No Yes No No No No
## [1412] No No No No No No No No No No No Yes No No No No Yes
## [1429] No No No No No No Yes No No No No No No No No No No
## [1446] No No No No Yes Yes No No No No Yes No Yes Yes No Yes No
## [1463] No No No No No No No No No No No No No No No No Yes
## [1480] No No No No No Yes No No No No No No No No Yes No No
## [1497] No Yes No No No No No No No No No No No No No No No
## [1514] Yes No No No No No No No Yes No No No No No No No No
## [1531] No No No Yes No No No Yes No No No No No Yes No No No
## [1548] No No No No No No No No No No No No No No Yes No No
## [1565] No No No No No No No No No No No Yes No No No No No
## [1582] No No No No No No No No No Yes No No No No No No No
## [1599] No No No No No No No No No No No No No No No No No
## [1616] Yes No No No No No No No No No No No No Yes Yes No No
## [1633] No Yes No No No No No No No No No No No No Yes Yes No
## [1650] No No No No No No No No Yes No No No No No No No No
## [1667] Yes No No Yes No No No No No No No No Yes No No No No
## [1684] No No Yes No No Yes No No No No No No No No No No No
## [1701] No No No No No No No No No No No No No No No No No
## [1718] No No No No No No No Yes No No No No No No No No No
## [1735] No No No No No No No Yes No No No No No Yes No No No
## [1752] No No No No Yes No No No No Yes No No No No No No Yes
## [1769] No No No Yes No No No No No No No Yes Yes No No No No
## [1786] No No No No No No No No No No No Yes No Yes No Yes No
## [1803] Yes No No No No No No No Yes No No No No No No No Yes
## [1820] No No No No No No Yes No No No No No No No Yes No No
## [1837] No No No No No No No No No No No No No Yes No No No
## [1854] No No No No Yes Yes Yes No No No No No No Yes No No No
## [1871] Yes Yes No No No No No No No No No Yes No No No No No
## [1888] No No No No No No No No No Yes No No No Yes No No No
## [1905] No No No No No No No No No No Yes Yes No No No No Yes
## [1922] No No Yes No No No No No No No No No No No Yes No No
## [1939] No No No Yes No No No No No No Yes No No Yes No No Yes
## [1956] No Yes No No No No No No No No No No No Yes No No No
## [1973] No No No No No Yes No No No No No No No No No No No
## [1990] No No No No No No No No No No No No No Yes Yes No No
## [2007] No No No No Yes Yes No No No No No No Yes No No No No
## [2024] No No No No No No No No Yes No No No No No No No No
## [2041] No No No No Yes No No No No Yes No No No No Yes No No
## [2058] No No No No No Yes No No No No No No No No No No No
## [2075] No No No No No No
## Levels: No Yes
For Column p2prom
p2proms=store.df$p1prom
p2proms.f <- factor(p1proms, labels = c("No", "Yes"))
p2proms.f
## [1] No No Yes No No No No No No No No No No No No No No
## [18] No No No No No No No No No No No No Yes No No No Yes
## [35] No Yes No No No No No Yes No No No No No No No No No
## [52] No No No No No Yes No No No No No No No No No No No
## [69] No No No No No No No No No Yes No No No No No No No
## [86] No No No No No No No No No No No No No No No No No
## [103] Yes No No No No No No No No No Yes No No No No No Yes
## [120] No No No No No No No No No Yes No No No No No No No
## [137] No No No No No No No No No No No No No No No No No
## [154] No No No No Yes No No No No No No No No No No No No
## [171] No No No No No No No No No No No No No No No Yes No
## [188] No No No No No No No No No No No No Yes No No Yes No
## [205] No No No No No No No No No No No No Yes No No No No
## [222] No Yes No No No Yes No No No No Yes No No No No No Yes
## [239] No No No No No No No Yes No No No No No No No No No
## [256] No No No No No No No No No No No No No No Yes No No
## [273] No No Yes No No No No No No No No No No No Yes No Yes
## [290] No No No No No No No Yes No No No No No No No No Yes
## [307] No No No No No No No No No No No No No Yes No No No
## [324] No No No No No No No No No No No No No No No No No
## [341] No No No No No No No No No No No No No No No No No
## [358] No No No No No No No No No No No No No No No No No
## [375] No No No No No No No No No No No Yes No No No No No
## [392] No No No No No No No Yes No No No No No No No No No
## [409] No No No No No No No No No No No No Yes No No No No
## [426] No No No No No No No No No No No No Yes No No Yes No
## [443] No No Yes No Yes No No No Yes No No No No No No No No
## [460] Yes No No No No No No No No Yes No No No No No No No
## [477] No No No No No No No No No No Yes No No No No No No
## [494] No No Yes No No No No Yes No No No No Yes No No No No
## [511] No No No No No No No No No No No No Yes No No No No
## [528] No No Yes No No No No Yes No No Yes No No No No No No
## [545] No No No Yes No No No No No No No No No No No No No
## [562] No No No No No No No No No No No No No No No No No
## [579] No No No No No No No No No No No No No No No No No
## [596] No No No No No No Yes No No No No No No Yes No No No
## [613] No No Yes No No No Yes No No No No No Yes No No No No
## [630] No Yes No No No No No No Yes No No No No No No No Yes
## [647] No No No No No No Yes No No No No No Yes No No No No
## [664] No No No No Yes No No No No No No No No No No No No
## [681] No No No No No No No No No No No Yes No No No No No
## [698] No No No No Yes No No No No No No No No No No No No
## [715] No No No No No No No No No No No No No No No No No
## [732] No Yes No No No No No No Yes Yes No No No Yes No No No
## [749] No No No No No No No Yes Yes No No No No No No Yes No
## [766] No No No No No No No No No Yes No Yes No No No No No
## [783] No No Yes No No No No No Yes No No No No No No No No
## [800] No No No No No Yes No No Yes Yes No No No No No No No
## [817] No No No Yes No No No No Yes No No No No No Yes No No
## [834] No No No No No No No No No No No No No No No No No
## [851] No No No No No No Yes No No No No No No No No No No
## [868] No No Yes No No No No No No Yes No No No No No No No
## [885] No No No No No No Yes No No No No No No Yes No No No
## [902] Yes No No No No No No No No No No No Yes No No No No
## [919] No No No No No No No No No No No No No No Yes No No
## [936] No No No No No No No No No Yes No No No No No No No
## [953] No No No No No No No No No No No No No No No No No
## [970] No No No No No No No No No No No No No Yes No No No
## [987] Yes No No No No No No No No No No No No No No No No
## [1004] No No No No No No No No No No No Yes No No No No No
## [1021] No No No No Yes No No Yes No No No No No No No Yes No
## [1038] No No No No No No No No Yes Yes No No No No No No No
## [1055] No No No No No No No No No No No No No No No No No
## [1072] No No No No No No No No No No No Yes Yes No No No No
## [1089] No No No No No No No No No No No No No No No No No
## [1106] No No No Yes No No No No No No No No Yes No No No No
## [1123] No No No No No No No Yes No No No No No No No No No
## [1140] No No No No No No No No No Yes No No No No No Yes No
## [1157] No No No Yes No No No No No No No No No No No No No
## [1174] No No No No No No No No No Yes No Yes Yes No No No No
## [1191] No No Yes No No No No No No No No No No No No No No
## [1208] No No No Yes No No No No No No No No No No No No No
## [1225] No No No No No No Yes No No No No No No No No No No
## [1242] No No Yes No No No No No No No No No No No Yes No No
## [1259] No Yes No No No No No No No No No No No Yes No No No
## [1276] No No No No Yes No No No No Yes Yes Yes No No No Yes No
## [1293] No No No No No No Yes No No No No Yes No No No Yes No
## [1310] No No No No No No No No No No No No No No No No No
## [1327] No No No Yes No No No No No No Yes No No Yes No No No
## [1344] No No No No No No Yes No No No No No No No No No No
## [1361] No No No No No No No No No No No No No No No No No
## [1378] No No No No No No No No No No No No No Yes No No No
## [1395] No No No No No No No No No No No No Yes No No No No
## [1412] No No No No No No No No No No No Yes No No No No Yes
## [1429] No No No No No No Yes No No No No No No No No No No
## [1446] No No No No Yes Yes No No No No Yes No Yes Yes No Yes No
## [1463] No No No No No No No No No No No No No No No No Yes
## [1480] No No No No No Yes No No No No No No No No Yes No No
## [1497] No Yes No No No No No No No No No No No No No No No
## [1514] Yes No No No No No No No Yes No No No No No No No No
## [1531] No No No Yes No No No Yes No No No No No Yes No No No
## [1548] No No No No No No No No No No No No No No Yes No No
## [1565] No No No No No No No No No No No Yes No No No No No
## [1582] No No No No No No No No No Yes No No No No No No No
## [1599] No No No No No No No No No No No No No No No No No
## [1616] Yes No No No No No No No No No No No No Yes Yes No No
## [1633] No Yes No No No No No No No No No No No No Yes Yes No
## [1650] No No No No No No No No Yes No No No No No No No No
## [1667] Yes No No Yes No No No No No No No No Yes No No No No
## [1684] No No Yes No No Yes No No No No No No No No No No No
## [1701] No No No No No No No No No No No No No No No No No
## [1718] No No No No No No No Yes No No No No No No No No No
## [1735] No No No No No No No Yes No No No No No Yes No No No
## [1752] No No No No Yes No No No No Yes No No No No No No Yes
## [1769] No No No Yes No No No No No No No Yes Yes No No No No
## [1786] No No No No No No No No No No No Yes No Yes No Yes No
## [1803] Yes No No No No No No No Yes No No No No No No No Yes
## [1820] No No No No No No Yes No No No No No No No Yes No No
## [1837] No No No No No No No No No No No No No Yes No No No
## [1854] No No No No Yes Yes Yes No No No No No No Yes No No No
## [1871] Yes Yes No No No No No No No No No Yes No No No No No
## [1888] No No No No No No No No No Yes No No No Yes No No No
## [1905] No No No No No No No No No No Yes Yes No No No No Yes
## [1922] No No Yes No No No No No No No No No No No Yes No No
## [1939] No No No Yes No No No No No No Yes No No Yes No No Yes
## [1956] No Yes No No No No No No No No No No No Yes No No No
## [1973] No No No No No Yes No No No No No No No No No No No
## [1990] No No No No No No No No No No No No No Yes Yes No No
## [2007] No No No No Yes Yes No No No No No No Yes No No No No
## [2024] No No No No No No No No Yes No No No No No No No No
## [2041] No No No No Yes No No No No Yes No No No No Yes No No
## [2058] No No No No No Yes No No No No No No No No No No No
## [2075] No No No No No No
## Levels: No Yes
For Column country - it is already a factor variable
countries = store.df$country
is.factor(countries)
## [1] TRUE
is.factor(years.f)
## [1] TRUE
is.factor(p1proms.f)
## [1] TRUE
is.factor(p2proms.f)
## [1] TRUE
summary(store.df)
## storeNum Year Week p1sales
## Min. :101.0 Min. :1.0 Min. : 1.00 Min. : 73
## 1st Qu.:105.8 1st Qu.:1.0 1st Qu.:13.75 1st Qu.:113
## Median :110.5 Median :1.5 Median :26.50 Median :129
## Mean :110.5 Mean :1.5 Mean :26.50 Mean :133
## 3rd Qu.:115.2 3rd Qu.:2.0 3rd Qu.:39.25 3rd Qu.:150
## Max. :120.0 Max. :2.0 Max. :52.00 Max. :263
##
## p2sales p1price p2price p1prom
## Min. : 51.0 Min. :2.190 Min. :2.29 Min. :0.0
## 1st Qu.: 84.0 1st Qu.:2.290 1st Qu.:2.49 1st Qu.:0.0
## Median : 96.0 Median :2.490 Median :2.59 Median :0.0
## Mean :100.2 Mean :2.544 Mean :2.70 Mean :0.1
## 3rd Qu.:113.0 3rd Qu.:2.790 3rd Qu.:2.99 3rd Qu.:0.0
## Max. :225.0 Max. :2.990 Max. :3.19 Max. :1.0
##
## p2prom country
## Min. :0.0000 AU:104
## 1st Qu.:0.0000 BR:208
## Median :0.0000 CN:208
## Mean :0.1385 DE:520
## 3rd Qu.:0.0000 GB:312
## Max. :1.0000 JP:416
## US:312
psych::describe(store.df)
## vars n mean sd median trimmed mad min max range
## storeNum 1 2080 110.50 5.77 110.50 110.50 7.41 101.00 120.00 19.0
## Year 2 2080 1.50 0.50 1.50 1.50 0.74 1.00 2.00 1.0
## Week 3 2080 26.50 15.01 26.50 26.50 19.27 1.00 52.00 51.0
## p1sales 4 2080 133.05 28.37 129.00 131.08 26.69 73.00 263.00 190.0
## p2sales 5 2080 100.16 24.42 96.00 98.05 22.24 51.00 225.00 174.0
## p1price 6 2080 2.54 0.29 2.49 2.53 0.44 2.19 2.99 0.8
## p2price 7 2080 2.70 0.33 2.59 2.69 0.44 2.29 3.19 0.9
## p1prom 8 2080 0.10 0.30 0.00 0.00 0.00 0.00 1.00 1.0
## p2prom 9 2080 0.14 0.35 0.00 0.05 0.00 0.00 1.00 1.0
## country* 10 2080 4.55 1.72 4.50 4.62 2.22 1.00 7.00 6.0
## skew kurtosis se
## storeNum 0.00 -1.21 0.13
## Year 0.00 -2.00 0.01
## Week 0.00 -1.20 0.33
## p1sales 0.74 0.66 0.62
## p2sales 0.99 1.51 0.54
## p1price 0.28 -1.44 0.01
## p2price 0.32 -1.40 0.01
## p1prom 2.66 5.10 0.01
## p2prom 2.09 2.38 0.01
## country* -0.29 -0.81 0.04
table <- with(store.df, table(country))
table
## country
## AU BR CN DE GB JP US
## 104 208 208 520 312 416 312
prop.table(table)
## country
## AU BR CN DE GB JP US
## 0.05 0.10 0.10 0.25 0.15 0.20 0.15
When both products were under promotion?
When product 1 (Coke) was under promotion but product 2 (Pepsi) was not under promotion?
When product 1 (Coke) was not under promotion but product 2 (Pepsi) was under promotion?
When neither product was under promotion?
mytable <- xtabs(~ p1prom+p2prom, data=store.df)
addmargins(mytable)
## p2prom
## p1prom 0 1 Sum
## 0 1616 256 1872
## 1 176 32 208
## Sum 1792 288 2080
p1prom =0 implies no promotion on product 1; p1prom =1 implies promotion on product 1; p2prom =0 implies no promotion on product 2; p2prom =1 implies promotion on product 2.
mytable <- xtabs(~ p1prom+p2prom, data=store.df)
addmargins(prop.table(mytable))
## p2prom
## p1prom 0 1 Sum
## 0 0.77692308 0.12307692 0.90000000
## 1 0.08461538 0.01538462 0.10000000
## Sum 0.86153846 0.13846154 1.00000000
promotion <- store.df[store.df$p1prom == 1 & store.df$p2prom == 1,]
Avgprice1 <- mean(promotion$p1price)
Avgprice2 <- mean(promotion$p2price)
Avgprice1
## [1] 2.568125
Avgprice2
## [1] 2.67125
promotion <- store.df[store.df$p1prom == 0 & store.df$p2prom == 0,]
Avgprice1 <- mean(promotion$p1price)
Avgprice2 <- mean(promotion$p2price)
Avgprice1
## [1] 2.543342
Avgprice2
## [1] 2.700891
when product1 is under promotion
promotion <- store.df[store.df$p1prom == 1 & store.df$p2prom == 0,]
Avgprice1 <- mean(promotion$p1price)
Avgprice2 <- mean(promotion$p2price)
Avgprice1
## [1] 2.524659
Avgprice2
## [1] 2.703068
when product2 is under promotion
promotion <- store.df[store.df$p1prom == 0 & store.df$p2prom == 1,]
Avgprice1 <- mean(promotion$p1price)
Avgprice2 <- mean(promotion$p2price)
Avgprice1
## [1] 2.561484
Avgprice2
## [1] 2.691953
promotion <- store.df[store.df$p1prom == 1 & store.df$p2prom == 1,]
Totalsales1 <- sum(promotion$p1sales)
Totalsales2 <- sum(promotion$p2sales)
Totalsales1
## [1] 5323
Totalsales2
## [1] 4272
promotion <- store.df[store.df$p1prom == 0 & store.df$p2prom == 0,]
Totalsales1 <- sum(promotion$p1sales)
Totalsales2 <- sum(promotion$p2sales)
Totalsales1
## [1] 208889
Totalsales2
## [1] 153311
promotion <- store.df[store.df$p1prom == 1 & store.df$p2prom == 0,]
Totalsales1 <- sum(promotion$p1sales)
Totalsales2 <- sum(promotion$p2sales)
Totalsales1
## [1] 29806
Totalsales2
## [1] 16348
promotion <- store.df[store.df$p1prom == 0 & store.df$p2prom == 1,]
Totalsales1 <- sum(promotion$p1sales)
Totalsales2 <- sum(promotion$p2sales)
Totalsales1
## [1] 32723
Totalsales2
## [1] 34395