------------- STORE24(A):-MANAGING EMPLOYEE RENTENTION HARVARD BUSINESS CASE STUDY!--------------
        #reading the csv file and storing in the format store.df and using view command to view the data
store.df<- read.csv(paste("Store24.csv", sep=""))
View(store.df)
summary(store.df) #using summary command to get summary for the dataframe
##      store          Sales             Profit          MTenure      
##  Min.   : 1.0   Min.   : 699306   Min.   :122180   Min.   :  0.00  
##  1st Qu.:19.5   1st Qu.: 984579   1st Qu.:211004   1st Qu.:  6.67  
##  Median :38.0   Median :1127332   Median :265014   Median : 24.12  
##  Mean   :38.0   Mean   :1205413   Mean   :276314   Mean   : 45.30  
##  3rd Qu.:56.5   3rd Qu.:1362388   3rd Qu.:331314   3rd Qu.: 50.92  
##  Max.   :75.0   Max.   :2113089   Max.   :518998   Max.   :277.99  
##     CTenure              Pop             Comp          Visibility  
##  Min.   :  0.8871   Min.   : 1046   Min.   : 1.651   Min.   :2.00  
##  1st Qu.:  4.3943   1st Qu.: 5616   1st Qu.: 3.151   1st Qu.:3.00  
##  Median :  7.2115   Median : 8896   Median : 3.629   Median :3.00  
##  Mean   : 13.9315   Mean   : 9826   Mean   : 3.788   Mean   :3.08  
##  3rd Qu.: 17.2156   3rd Qu.:14104   3rd Qu.: 4.230   3rd Qu.:4.00  
##  Max.   :114.1519   Max.   :26519   Max.   :11.128   Max.   :5.00  
##     PedCount         Res          Hours24       CrewSkill    
##  Min.   :1.00   Min.   :0.00   Min.   :0.00   Min.   :2.060  
##  1st Qu.:2.00   1st Qu.:1.00   1st Qu.:1.00   1st Qu.:3.225  
##  Median :3.00   Median :1.00   Median :1.00   Median :3.500  
##  Mean   :2.96   Mean   :0.96   Mean   :0.84   Mean   :3.457  
##  3rd Qu.:4.00   3rd Qu.:1.00   3rd Qu.:1.00   3rd Qu.:3.655  
##  Max.   :5.00   Max.   :1.00   Max.   :1.00   Max.   :4.640  
##     MgrSkill        ServQual     
##  Min.   :2.957   Min.   : 57.90  
##  1st Qu.:3.344   1st Qu.: 78.95  
##  Median :3.589   Median : 89.47  
##  Mean   :3.638   Mean   : 87.15  
##  3rd Qu.:3.925   3rd Qu.: 99.90  
##  Max.   :4.622   Max.   :100.00
library(psych)
describe(store.df) #using describe command to get the description for the following stats
##            vars  n       mean        sd     median    trimmed       mad
## store         1 75      38.00     21.79      38.00      38.00     28.17
## Sales         2 75 1205413.12 304531.31 1127332.00 1182031.25 288422.04
## Profit        3 75  276313.61  89404.08  265014.00  270260.34  90532.00
## MTenure       4 75      45.30     57.67      24.12      33.58     29.67
## CTenure       5 75      13.93     17.70       7.21      10.60      6.14
## Pop           6 75    9825.59   5911.67    8896.00    9366.07   7266.22
## Comp          7 75       3.79      1.31       3.63       3.66      0.82
## Visibility    8 75       3.08      0.75       3.00       3.07      0.00
## PedCount      9 75       2.96      0.99       3.00       2.97      1.48
## Res          10 75       0.96      0.20       1.00       1.00      0.00
## Hours24      11 75       0.84      0.37       1.00       0.92      0.00
## CrewSkill    12 75       3.46      0.41       3.50       3.47      0.34
## MgrSkill     13 75       3.64      0.41       3.59       3.62      0.45
## ServQual     14 75      87.15     12.61      89.47      88.62     15.61
##                  min        max      range  skew kurtosis       se
## store           1.00      75.00      74.00  0.00    -1.25     2.52
## Sales      699306.00 2113089.00 1413783.00  0.71    -0.09 35164.25
## Profit     122180.00  518998.00  396818.00  0.62    -0.21 10323.49
## MTenure         0.00     277.99     277.99  2.01     3.90     6.66
## CTenure         0.89     114.15     113.26  3.52    15.00     2.04
## Pop          1046.00   26519.00   25473.00  0.62    -0.23   682.62
## Comp            1.65      11.13       9.48  2.48    11.31     0.15
## Visibility      2.00       5.00       3.00  0.25    -0.38     0.09
## PedCount        1.00       5.00       4.00  0.00    -0.52     0.11
## Res             0.00       1.00       1.00 -4.60    19.43     0.02
## Hours24         0.00       1.00       1.00 -1.82     1.32     0.04
## CrewSkill       2.06       4.64       2.58 -0.43     1.64     0.05
## MgrSkill        2.96       4.62       1.67  0.27    -0.53     0.05
## ServQual       57.90     100.00      42.10 -0.66    -0.72     1.46
mean(store.df$Profit) #mean for the profit
## [1] 276313.6
sd(store.df$Profit) #finding the standard deviation for the profit
## [1] 89404.08
mean(store.df$MTenure) #mean  of MTenure
## [1] 45.29644
sd(store.df$MTenure)   #standard deviation of MTenure
## [1] 57.67155
mean(store.df$CTenure) #mean of CTenure
## [1] 13.9315
sd(store.df$CTenure)   #standard deviation of CTenure
## [1] 17.69752
attach(mtcars)
View(mtcars)
newdata <- mtcars[order(mpg),] #sort by mpg (ascending)
View(newdata)
newdata[1:5,] # 1 out of first 5 rows
##                      mpg cyl disp  hp drat    wt  qsec vs am gear carb
## Cadillac Fleetwood  10.4   8  472 205 2.93 5.250 17.98  0  0    3    4
## Lincoln Continental 10.4   8  460 215 3.00 5.424 17.82  0  0    3    4
## Camaro Z28          13.3   8  350 245 3.73 3.840 15.41  0  0    3    4
## Duster 360          14.3   8  360 245 3.21 3.570 15.84  0  0    3    4
## Chrysler Imperial   14.7   8  440 230 3.23 5.345 17.42  0  0    3    4
newdata <- mtcars[order(-mpg),] # sort by mpg (descending)
View(newdata)
detach(mtcars)
mystore.df<- store.df[order(-store.df$Profit),]
head(mystore.df,10)[,1:5] #Use R to print the {StoreID, Sales, Profit, MTenure, CTenure} of the top 10 most profitable stores.
##    store   Sales Profit   MTenure    CTenure
## 74    74 1782957 518998 171.09720  29.519510
## 7      7 1809256 476355  62.53080   7.326488
## 9      9 2113089 474725 108.99350   6.061602
## 6      6 1703140 469050 149.93590  11.351130
## 44    44 1807740 439781 182.23640 114.151900
## 2      2 1619874 424007  86.22219   6.636550
## 45    45 1602362 410149  47.64565   9.166325
## 18    18 1704826 394039 239.96980  33.774130
## 11    11 1583446 389886  44.81977   2.036961
## 47    47 1665657 387853  12.84790   6.636550
tail(mystore.df,10)[,1:5] #Use R to print the {StoreID, Sales, Profit, MTenure, CTenure} of the least 10 profitable stores. 
##    store   Sales Profit     MTenure   CTenure
## 37    37 1202917 187765  23.1985000  1.347023
## 61    61  716589 177046  21.8184200 13.305950
## 52    52 1073008 169201  24.1185600  3.416838
## 54    54  811190 159792   6.6703910  3.876797
## 13    13  857843 152513   0.6571813  1.577002
## 32    32  828918 149033  36.0792600  6.636550
## 55    55  925744 147672   6.6703910 18.365500
## 41    41  744211 147327  14.9180200 11.926080
## 66    66  879581 146058 115.2039000  3.876797
## 57    57  699306 122180  24.3485700  2.956879
## 
## Attaching package: 'car'
## The following object is masked from 'package:psych':
## 
##     logit

round(cor(store.df),2) #Use R to construct a Correlation Matrix for all the variables in the dataset. (Display the                        numbers up to 2 Decimal places)
##            store Sales Profit MTenure CTenure   Pop  Comp Visibility
## store       1.00 -0.23  -0.20   -0.06    0.02 -0.29  0.03      -0.03
## Sales      -0.23  1.00   0.92    0.45    0.25  0.40 -0.24       0.13
## Profit     -0.20  0.92   1.00    0.44    0.26  0.43 -0.33       0.14
## MTenure    -0.06  0.45   0.44    1.00    0.24 -0.06  0.18       0.16
## CTenure     0.02  0.25   0.26    0.24    1.00  0.00 -0.07       0.07
## Pop        -0.29  0.40   0.43   -0.06    0.00  1.00 -0.27      -0.05
## Comp        0.03 -0.24  -0.33    0.18   -0.07 -0.27  1.00       0.03
## Visibility -0.03  0.13   0.14    0.16    0.07 -0.05  0.03       1.00
## PedCount   -0.22  0.42   0.45    0.06   -0.08  0.61 -0.15      -0.14
## Res        -0.03 -0.17  -0.16   -0.06   -0.34 -0.24  0.22       0.02
## Hours24     0.03  0.06  -0.03   -0.17    0.07 -0.22  0.13       0.05
## CrewSkill   0.05  0.16   0.16    0.10    0.26  0.28 -0.04      -0.20
## MgrSkill   -0.07  0.31   0.32    0.23    0.12  0.08  0.22       0.07
## ServQual   -0.32  0.39   0.36    0.18    0.08  0.12  0.02       0.21
##            PedCount   Res Hours24 CrewSkill MgrSkill ServQual
## store         -0.22 -0.03    0.03      0.05    -0.07    -0.32
## Sales          0.42 -0.17    0.06      0.16     0.31     0.39
## Profit         0.45 -0.16   -0.03      0.16     0.32     0.36
## MTenure        0.06 -0.06   -0.17      0.10     0.23     0.18
## CTenure       -0.08 -0.34    0.07      0.26     0.12     0.08
## Pop            0.61 -0.24   -0.22      0.28     0.08     0.12
## Comp          -0.15  0.22    0.13     -0.04     0.22     0.02
## Visibility    -0.14  0.02    0.05     -0.20     0.07     0.21
## PedCount       1.00 -0.28   -0.28      0.21     0.09    -0.01
## Res           -0.28  1.00   -0.09     -0.15    -0.03     0.09
## Hours24       -0.28 -0.09    1.00      0.11    -0.04     0.06
## CrewSkill      0.21 -0.15    0.11      1.00    -0.02    -0.03
## MgrSkill       0.09 -0.03   -0.04     -0.02     1.00     0.36
## ServQual      -0.01  0.09    0.06     -0.03     0.36     1.00
round(cor(store.df$Profit, store.df$MTenure),2) #Use R to measure the correlation between Profit and MTenure. (Display the numbers up to 2 Decimal places)
## [1] 0.44
round(cor(store.df$Profit, store.df$CTenure),2) #Use R to measure the correlation between Profit and CTenure. (Display the numbers up to 2 Decimal places)
## [1] 0.26

   ----------------------------------- Analysis about Store 24A-------------------------------- 

Here we can justify that by observing the following corrgram “Some factors leads to profits and some factors signs towards negative indication where Profit is positive for MTenure,CTenure,Sales,Pop,Comp,Visibility,ServQual,CrewSkill” Most of the profits occured due to the neighbourhood population because its very less distance from the store to their respective places.So it leads more profits with in a short period of time. more over it also attracts more people who worked in that region.

cor.test(store.df$Profit,store.df$MTenure)$p.value #pearson's correlation test for Mtenure towards profits
## [1] 8.193133e-05
cor.test(store.df$Profit,store.df$CTenure)  #correlation between profit and Ctenure
## 
##  Pearson's product-moment correlation
## 
## data:  store.df$Profit and store.df$CTenure
## t = 2.2786, df = 73, p-value = 0.02562
## alternative hypothesis: true correlation is not equal to 0
## 95 percent confidence interval:
##  0.03262507 0.45786339
## sample estimates:
##       cor 
## 0.2576789
wholestore<- lm(Profit~MTenure+CTenure+Comp+Pop+PedCount+Res+Hours24+Visibility, data=store.df)
summary(wholestore) #Run a regression of Profit on {MTenure, CTenure, Comp, Pop, PedCount, Res, Hours24, Visibility
## 
## Call:
## lm(formula = Profit ~ MTenure + CTenure + Comp + Pop + PedCount + 
##     Res + Hours24 + Visibility, data = store.df)
## 
## Residuals:
##     Min      1Q  Median      3Q     Max 
## -105789  -35946   -7069   33780  112390 
## 
## Coefficients:
##               Estimate Std. Error t value Pr(>|t|)    
## (Intercept)   7610.041  66821.994   0.114 0.909674    
## MTenure        760.993    127.086   5.988 9.72e-08 ***
## CTenure        944.978    421.687   2.241 0.028400 *  
## Comp        -25286.887   5491.937  -4.604 1.94e-05 ***
## Pop              3.667      1.466   2.501 0.014890 *  
## PedCount     34087.359   9073.196   3.757 0.000366 ***
## Res          91584.675  39231.283   2.334 0.022623 *  
## Hours24      63233.307  19641.114   3.219 0.001994 ** 
## Visibility   12625.447   9087.620   1.389 0.169411    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 56970 on 66 degrees of freedom
## Multiple R-squared:  0.6379, Adjusted R-squared:  0.594 
## F-statistic: 14.53 on 8 and 66 DF,  p-value: 5.382e-12

List the explanatory variable(s) whose beta-coefficients are statistically significant (p < 0.05).

                   MTenure, CTenure, Comp, Pop, PedCount, Res, Hours24

List the explanatory variable(s) whose beta-coefficients are not statistically significant (p > 0.05).

                                      Visibility

What is expected change in the Profit at a store, if the Manager’s tenure i.e. number of months of experience with Store24, increases by one month?

                  From study the estimate value leads to $760.99.
                  

What is expected change in the Profit at a store, if the Crew’s tenure i.e. number of months of experience with Store24, increases by one month?

                  From study the estimate value leads to $944.98.
                  

Please prepare an “Executive Summary”. Please add this to the end of your Rmd file. Specifically, please create a qualitative summary of Managerial Insights, based on your data analysis, especially your Regression Analysis. You may write this in paragraph form or in point form.

                                                                                                                  We can state that the store which opens whole day about 24hours,Eventually leads towards huge profits because many employees who moves from those areas will definetly attracted notonly that people who walks through the footpaths will also come it also helps towards profits.it would be more better to focus on the things which would get more profits they are 1. MTenure, CTenure, Comp, Pop, PedCount, Res & Hours24 variables if that particular store manager puts more focus on these variables eventually leads more treasury.If they focous on some other offers for their products so "interlinking offers" will also attracts many customers to utilize the products.


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