Managing Employee Retention

store.df<-read.csv("C:/Users/here_is_sachin/Downloads/Store24.csv")
summary(store.df)
##      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

Mean and Standard Deviation

library(psych)
describe(store.df)
##            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

Sorting and Subsetting data in R

topprofit <-store.df[order(store.df$Profit),]
topprofit[1:5,]
##    store  Sales Profit    MTenure   CTenure   Pop     Comp Visibility
## 57    57 699306 122180  24.348570  2.956879  3642 2.973376          3
## 66    66 879581 146058 115.203900  3.876797  1046 6.569790          2
## 41    41 744211 147327  14.918020 11.926080  9701 4.364600          2
## 55    55 925744 147672   6.670391 18.365500 10532 6.389294          4
## 32    32 828918 149033  36.079260  6.636550  9697 4.641468          3
##    PedCount Res Hours24 CrewSkill MgrSkill ServQual
## 57        2   1       1      3.35 2.956667 84.21266
## 66        3   1       1      4.03 3.673333 80.26675
## 41        3   1       1      3.03 3.672222 81.13993
## 55        3   1       1      3.49 3.477778 76.31346
## 32        3   1       0      3.28 3.550000 73.68654
leastprofit <-store.df[order(-store.df$Profit),]
leastprofit[1:5,]
##    store   Sales Profit  MTenure    CTenure   Pop     Comp Visibility
## 74    74 1782957 518998 171.0972  29.519510 10913 2.319850          3
## 7      7 1809256 476355  62.5308   7.326488 17754 3.377900          2
## 9      9 2113089 474725 108.9935   6.061602 26519 2.637630          2
## 6      6 1703140 469050 149.9359  11.351130 16926 3.184613          3
## 44    44 1807740 439781 182.2364 114.151900 20624 3.628561          3
##    PedCount Res Hours24 CrewSkill MgrSkill  ServQual
## 74        4   1       0      3.50 4.405556  94.73878
## 7         5   1       1      3.94 4.100000  81.57837
## 9         4   1       1      3.22 3.583333 100.00000
## 6         4   1       0      3.58 4.605556  94.73510
## 44        4   0       1      4.06 4.172222  86.84327

Scatterplot

plot(store.df$Profit,store.df$MTenure,main = "Profit vs Mtenure")

plot(store.df$Profit,store.df$CTenure,main = "Profit vs Ctenure")

TASK 2i - Correlation Matrix

store4 <- store.df[, c(1:14)]
store5 <- cor(store4)
round(store5,2)
##            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

TASK 2j - Correlations

Profit <- store.df$Profit
MTenure <- store.df$MTenure
cor(Profit,MTenure)
## [1] 0.4388692
CTenure <- store.df$CTenure
cor(Profit,CTenure)
## [1] 0.2576789
library(corrgram)

corrgram(store.df, order=TRUE, lower.panel=panel.shade,
         upper.panel=panel.pie, text.panel=panel.txt,
         main="Corrgram of store Dataset")

store16 <- cor.test(store.df$Profit, store.df$MTenure, 
                   method = "pearson")
store16
## 
##  Pearson's product-moment correlation
## 
## data:  store.df$Profit and store.df$MTenure
## t = 4.1731, df = 73, p-value = 8.193e-05
## alternative hypothesis: true correlation is not equal to 0
## 95 percent confidence interval:
##  0.2353497 0.6055175
## sample estimates:
##       cor 
## 0.4388692
store7 <- cor.test(store.df$Profit, store.df$CTenure, 
                   method = "pearson")
store7
## 
##  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

TASK 2m - Regression Analysis

store8 <- lm(Profit ~ MTenure + CTenure + Comp + Pop + PedCount + Res + Hours24 + Visibility, data=store.df)
summary(store8)
## 
## 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

TASK 2n Based on TASK 2m, answer the following questions: List the explanatory variable(s) whose beta-coefficients are statistically significant (p < 0.05). List the explanatory variable(s) whose beta-coefficients are not statistically significant (p > 0.05). The explanatory variable(s) whose beta-coefficients are statistically significant (p < 0.05) are :- CTenure, Comp, MTenure, Pop, PedCount, Res, Hours24

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