Original Chopped Analysis

In our original analysis, we wanted to focus on predicting who is more likely to go to an American restaurant based on their other restaurant choices. We noticed that the data was from Mexico so about 1/4 of the restuarants were Mexican restaurants. Overall, there are 104 cuisine types, including Mexican cuisine. After Mexican cuisine was taken out, there were only 3,091 records and 138 unique users. We chose to do market basket analysis because there were unique users spanning multiple rows in the data.

rrc <- read.csv("RestaurantRatersComplete.csv")
library(arules) 
## Loading required package: Matrix
## 
## Attaching package: 'arules'
## The following objects are masked from 'package:base':
## 
##     abbreviate, write
rrc[1:5,]
##   userID drink_level dress_preference ambience transport marital_status
## 1  U1001  abstemious         informal   family   on foot         single
## 2  U1001  abstemious         informal   family   on foot         single
## 3  U1001  abstemious         informal   family   on foot         single
## 4  U1001  abstemious         informal   family   on foot         single
## 5  U1001  abstemious         informal   family   on foot         single
##         hijos birth_year interest       personality religion activity
## 1 independent       1989  variety thrifty-protector     none  student
## 2 independent       1989  variety thrifty-protector     none  student
## 3 independent       1989  variety thrifty-protector     none  student
## 4 independent       1989  variety thrifty-protector     none  student
## 5 independent       1989  variety thrifty-protector     none  student
##   weight budget placeID rating food_rating service_rating Rcuisine
## 1     69 medium  135045      1           1              1 American
## 2     69 medium  135033      1           1              1 American
## 3     69 medium  135025      2           2              2 American
## 4     69 medium  135051      1           1              2 American
## 5     69 medium  135039      1           1              1 American
##   Upayment
## 1     cash
## 2     cash
## 3     cash
## 4     cash
## 5     cash
length(rrc$userID)
## [1] 3091
rrc$userID <- factor(rrc$userID)
levels(rrc$userID)
##  [1] "U1001" "U1004" "U1005" "U1007" "U1008" "U1009" "U1012" "U1013"
##  [9] "U1014" "U1016" "U1017" "U1019" "U1021" "U1027" "U1035" "U1039"
## [17] "U1040" "U1041" "U1043" "U1045" "U1046" "U1047" "U1052" "U1055"
## [25] "U1057" "U1058" "U1060" "U1073" "U1074" "U1086" "U1087" "U1090"
## [33] "U1091" "U1092" "U1093" "U1095" "U1101" "U1102" "U1104" "U1105"
## [41] "U1106" "U1108" "U1113" "U1115" "U1117" "U1118" "U1128" "U1135"
## [49] "U1138"
levels(rrc$Rcuisine) 
##   [1] "Afghan"               "African"              "American"            
##   [4] "Armenian"             "Asian"                "Australian"          
##   [7] "Austrian"             "Bagels"               "Bakery"              
##  [10] "Bar"                  "Bar_Pub_Brewery"      "Barbecue"            
##  [13] "Basque"               "Brazilian"            "Breakfast-Brunch"    
##  [16] "British"              "Burgers"              "Burmese"             
##  [19] "Cafe-Coffee_Shop"     "Cafeteria"            "Cajun-Creole"        
##  [22] "California"           "Cambodian"            "Canadian"            
##  [25] "Caribbean"            "Chilean"              "Chinese"             
##  [28] "Contemporary"         "Continental-European" "Cuban"               
##  [31] "Deli-Sandwiches"      "Dessert-Ice_Cream"    "Dim_Sum"             
##  [34] "Diner"                "Doughnuts"            "Dutch-Belgian"       
##  [37] "Eastern_European"     "Eclectic"             "Ethiopian"           
##  [40] "Family"               "Fast_Food"            "Filipino"            
##  [43] "Fine_Dining"          "French"               "Fusion"              
##  [46] "Game"                 "German"               "Greek"               
##  [49] "Hawaiian"             "Hot_Dogs"             "Hungarian"           
##  [52] "Indian-Pakistani"     "Indigenous"           "Indonesian"          
##  [55] "International"        "Irish"                "Israeli"             
##  [58] "Italian"              "Jamaican"             "Japanese"            
##  [61] "Juice"                "Korean"               "Kosher"              
##  [64] "Latin_American"       "Lebanese"             "Malaysian"           
##  [67] "Mediterranean"        "Middle_Eastern"       "Mongolian"           
##  [70] "Moroccan"             "North_African"        "Organic-Healthy"     
##  [73] "Pacific_Northwest"    "Pacific_Rim"          "Persian"             
##  [76] "Peruvian"             "Pizzeria"             "Polish"              
##  [79] "Polynesian"           "Portuguese"           "Regional"            
##  [82] "Romanian"             "Russian-Ukrainian"    "Scandinavian"        
##  [85] "Seafood"              "Soup"                 "Southeast_Asian"     
##  [88] "Southern"             "Southwestern"         "Spanish"             
##  [91] "Steaks"               "Sushi"                "Swiss"               
##  [94] "Tapas"                "Tea_House"            "Tex-Mex"             
##  [97] "Thai"                 "Tibetan"              "Tunisian"            
## [100] "Turkish"              "Vegetarian"           "Vietnamese"

The next step is to create transactions so that all of the users’ transactions are tied together by their userID in the different rows.

cuisine <- split(x=rrc[,"Rcuisine"], f=rrc$userID)
cuisine <- lapply(cuisine,unique)     ## remove cuisine duplicates
cuisine[1:2]
## $U1001
## [1] American
## 102 Levels: Afghan African American Armenian Asian Australian ... Vietnamese
## 
## $U1004
## [1] Bagels               Bakery               Breakfast-Brunch    
## [4] Cafe-Coffee_Shop     Cafeteria            Contemporary        
## [7] Continental-European Japanese            
## 102 Levels: Afghan African American Armenian Asian Australian ... Vietnamese
cuisine <- as(cuisine,"transactions") 

Based on this data of the first two users, the first user only eats at American restaurants and the second eats at a wide variety of places.

Now we will create a table of the frequency of each cuisine type and display the American one, specifically at the end.

itemFrequency(cuisine) 
##               Afghan              African             American 
##           0.04081633           0.02040816           0.22448980 
##             Armenian                Asian           Australian 
##           0.02040816           0.04081633           0.04081633 
##             Austrian               Bagels               Bakery 
##           0.02040816           0.04081633           0.06122449 
##                  Bar      Bar_Pub_Brewery             Barbecue 
##           0.06122449           0.02040816           0.06122449 
##               Basque            Brazilian     Breakfast-Brunch 
##           0.02040816           0.02040816           0.06122449 
##              British              Burgers              Burmese 
##           0.02040816           0.12244898           0.02040816 
##     Cafe-Coffee_Shop            Cafeteria         Cajun-Creole 
##           0.16326531           0.18367347           0.02040816 
##           California            Cambodian             Canadian 
##           0.02040816           0.02040816           0.02040816 
##            Caribbean              Chilean              Chinese 
##           0.02040816           0.02040816           0.12244898 
##         Contemporary Continental-European                Cuban 
##           0.10204082           0.04081633           0.04081633 
##      Deli-Sandwiches    Dessert-Ice_Cream              Dim_Sum 
##           0.06122449           0.04081633           0.02040816 
##                Diner            Doughnuts        Dutch-Belgian 
##           0.06122449           0.04081633           0.02040816 
##     Eastern_European             Eclectic            Ethiopian 
##           0.04081633           0.02040816           0.02040816 
##               Family            Fast_Food             Filipino 
##           0.16326531           0.10204082           0.02040816 
##          Fine_Dining               French               Fusion 
##           0.02040816           0.02040816           0.04081633 
##                 Game               German                Greek 
##           0.06122449           0.02040816           0.02040816 
##             Hawaiian             Hot_Dogs            Hungarian 
##           0.04081633           0.12244898           0.02040816 
##     Indian-Pakistani           Indigenous           Indonesian 
##           0.04081633           0.02040816           0.02040816 
##        International                Irish              Israeli 
##           0.02040816           0.02040816           0.02040816 
##              Italian             Jamaican             Japanese 
##           0.14285714           0.02040816           0.14285714 
##                Juice               Korean               Kosher 
##           0.06122449           0.04081633           0.02040816 
##       Latin_American             Lebanese            Malaysian 
##           0.12244898           0.04081633           0.02040816 
##        Mediterranean       Middle_Eastern            Mongolian 
##           0.02040816           0.04081633           0.04081633 
##             Moroccan        North_African      Organic-Healthy 
##           0.06122449           0.02040816           0.02040816 
##    Pacific_Northwest          Pacific_Rim              Persian 
##           0.02040816           0.02040816           0.02040816 
##             Peruvian             Pizzeria               Polish 
##           0.02040816           0.18367347           0.04081633 
##           Polynesian           Portuguese             Regional 
##           0.04081633           0.04081633           0.10204082 
##             Romanian    Russian-Ukrainian         Scandinavian 
##           0.02040816           0.02040816           0.02040816 
##              Seafood                 Soup      Southeast_Asian 
##           0.04081633           0.04081633           0.02040816 
##             Southern         Southwestern              Spanish 
##           0.02040816           0.02040816           0.04081633 
##               Steaks                Sushi                Swiss 
##           0.02040816           0.06122449           0.02040816 
##                Tapas            Tea_House              Tex-Mex 
##           0.02040816           0.02040816           0.06122449 
##                 Thai              Tibetan             Tunisian 
##           0.02040816           0.02040816           0.02040816 
##              Turkish           Vegetarian           Vietnamese 
##           0.04081633           0.02040816           0.02040816
support <- as.table(itemFrequency(cuisine))
support["American"]
##  American 
## 0.2244898

Based on the table, the frequency of American cuisine in the data set is 22%. The chart below graphically shows the data from the chart above.

itemFrequencyPlot(cuisine,support=.05,cex.names=1) 

Next, we will display the rules created based on the data set. There are over 1000 rules and not all of them are as valuable as others, so we will limit the list.

cuisinerules <- apriori(cuisine,parameter=list(support=.05,confidence=.5)) 
## Apriori
## 
## Parameter specification:
##  confidence minval smax arem  aval originalSupport maxtime support minlen
##         0.5    0.1    1 none FALSE            TRUE       5    0.05      1
##  maxlen target   ext
##      10  rules FALSE
## 
## Algorithmic control:
##  filter tree heap memopt load sort verbose
##     0.1 TRUE TRUE  FALSE TRUE    2    TRUE
## 
## Absolute minimum support count: 2 
## 
## set item appearances ...[0 item(s)] done [0.00s].
## set transactions ...[102 item(s), 49 transaction(s)] done [0.00s].
## sorting and recoding items ... [25 item(s)] done [0.00s].
## creating transaction tree ... done [0.00s].
## checking subsets of size 1 2 3 4 5 6 7 done [0.00s].
## writing ... [1148 rule(s)] done [0.00s].
## creating S4 object  ... done [0.00s].
inspect(cuisinerules)
##        lhs                   rhs                   support confidence      lift count
## [1]    {Diner}            => {Family}           0.06122449  1.0000000  6.125000     3
## [2]    {Diner}            => {Cafeteria}        0.06122449  1.0000000  5.444444     3
## [3]    {Diner}            => {Cafe-Coffee_Shop} 0.06122449  1.0000000  6.125000     3
## [4]    {Juice}            => {Italian}          0.06122449  1.0000000  7.000000     3
## [5]    {Juice}            => {Hot_Dogs}         0.06122449  1.0000000  8.166667     3
## [6]    {Hot_Dogs}         => {Juice}            0.06122449  0.5000000  8.166667     3
## [7]    {Juice}            => {American}         0.06122449  1.0000000  4.454545     3
## [8]    {Juice}            => {Cafeteria}        0.06122449  1.0000000  5.444444     3
## [9]    {Juice}            => {Cafe-Coffee_Shop} 0.06122449  1.0000000  6.125000     3
## [10]   {Deli-Sandwiches}  => {Fast_Food}        0.06122449  1.0000000  9.800000     3
## [11]   {Fast_Food}        => {Deli-Sandwiches}  0.06122449  0.6000000  9.800000     3
## [12]   {Deli-Sandwiches}  => {Family}           0.06122449  1.0000000  6.125000     3
## [13]   {Deli-Sandwiches}  => {Cafeteria}        0.06122449  1.0000000  5.444444     3
## [14]   {Deli-Sandwiches}  => {Cafe-Coffee_Shop} 0.06122449  1.0000000  6.125000     3
## [15]   {Fast_Food}        => {Pizzeria}         0.06122449  0.6000000  3.266667     3
## [16]   {Fast_Food}        => {Family}           0.06122449  0.6000000  3.675000     3
## [17]   {Fast_Food}        => {Japanese}         0.06122449  0.6000000  4.200000     3
## [18]   {Fast_Food}        => {Burgers}          0.06122449  0.6000000  4.900000     3
## [19]   {Burgers}          => {Fast_Food}        0.06122449  0.5000000  4.900000     3
## [20]   {Fast_Food}        => {Hot_Dogs}         0.06122449  0.6000000  4.900000     3
## [21]   {Hot_Dogs}         => {Fast_Food}        0.06122449  0.5000000  4.900000     3
## [22]   {Fast_Food}        => {American}         0.06122449  0.6000000  2.672727     3
## [23]   {Fast_Food}        => {Cafeteria}        0.08163265  0.8000000  4.355556     4
## [24]   {Fast_Food}        => {Cafe-Coffee_Shop} 0.08163265  0.8000000  4.900000     4
## [25]   {Cafe-Coffee_Shop} => {Fast_Food}        0.08163265  0.5000000  4.900000     4
## [26]   {Contemporary}     => {Japanese}         0.06122449  0.6000000  4.200000     3
## [27]   {Contemporary}     => {Cafeteria}        0.06122449  0.6000000  3.266667     3
## [28]   {Contemporary}     => {Cafe-Coffee_Shop} 0.08163265  0.8000000  4.900000     4
## [29]   {Cafe-Coffee_Shop} => {Contemporary}     0.08163265  0.5000000  4.900000     4
## [30]   {Chinese}          => {Pizzeria}         0.06122449  0.5000000  2.722222     3
## [31]   {Chinese}          => {Family}           0.06122449  0.5000000  3.062500     3
## [32]   {Chinese}          => {Latin_American}   0.06122449  0.5000000  4.083333     3
## [33]   {Latin_American}   => {Chinese}          0.06122449  0.5000000  4.083333     3
## [34]   {Chinese}          => {Burgers}          0.08163265  0.6666667  5.444444     4
## [35]   {Burgers}          => {Chinese}          0.08163265  0.6666667  5.444444     4
## [36]   {Chinese}          => {Hot_Dogs}         0.06122449  0.5000000  4.083333     3
## [37]   {Hot_Dogs}         => {Chinese}          0.06122449  0.5000000  4.083333     3
## [38]   {Chinese}          => {Cafeteria}        0.06122449  0.5000000  2.722222     3
## [39]   {Chinese}          => {Cafe-Coffee_Shop} 0.06122449  0.5000000  3.062500     3
## [40]   {Latin_American}   => {Italian}          0.06122449  0.5000000  3.500000     3
## [41]   {Burgers}          => {Italian}          0.06122449  0.5000000  3.500000     3
## [42]   {Italian}          => {Hot_Dogs}         0.08163265  0.5714286  4.666667     4
## [43]   {Hot_Dogs}         => {Italian}          0.08163265  0.6666667  4.666667     4
## [44]   {Italian}          => {Cafeteria}        0.08163265  0.5714286  3.111111     4
## [45]   {Italian}          => {Cafe-Coffee_Shop} 0.08163265  0.5714286  3.500000     4
## [46]   {Cafe-Coffee_Shop} => {Italian}          0.08163265  0.5000000  3.500000     4
## [47]   {Burgers}          => {Pizzeria}         0.08163265  0.6666667  3.629630     4
## [48]   {Hot_Dogs}         => {Pizzeria}         0.08163265  0.6666667  3.629630     4
## [49]   {Latin_American}   => {Family}           0.06122449  0.5000000  3.062500     3
## [50]   {Burgers}          => {Family}           0.06122449  0.5000000  3.062500     3
## [51]   {Hot_Dogs}         => {Family}           0.06122449  0.5000000  3.062500     3
## [52]   {Family}           => {Cafeteria}        0.08163265  0.5000000  2.722222     4
## [53]   {Family}           => {Cafe-Coffee_Shop} 0.08163265  0.5000000  3.062500     4
## [54]   {Cafe-Coffee_Shop} => {Family}           0.08163265  0.5000000  3.062500     4
## [55]   {Latin_American}   => {Burgers}          0.06122449  0.5000000  4.083333     3
## [56]   {Burgers}          => {Latin_American}   0.06122449  0.5000000  4.083333     3
## [57]   {Latin_American}   => {Hot_Dogs}         0.08163265  0.6666667  5.444444     4
## [58]   {Hot_Dogs}         => {Latin_American}   0.08163265  0.6666667  5.444444     4
## [59]   {Latin_American}   => {American}         0.06122449  0.5000000  2.227273     3
## [60]   {Latin_American}   => {Cafeteria}        0.08163265  0.6666667  3.629630     4
## [61]   {Latin_American}   => {Cafe-Coffee_Shop} 0.08163265  0.6666667  4.083333     4
## [62]   {Cafe-Coffee_Shop} => {Latin_American}   0.08163265  0.5000000  4.083333     4
## [63]   {Japanese}         => {Cafe-Coffee_Shop} 0.08163265  0.5714286  3.500000     4
## [64]   {Cafe-Coffee_Shop} => {Japanese}         0.08163265  0.5000000  3.500000     4
## [65]   {Burgers}          => {Hot_Dogs}         0.08163265  0.6666667  5.444444     4
## [66]   {Hot_Dogs}         => {Burgers}          0.08163265  0.6666667  5.444444     4
## [67]   {Burgers}          => {American}         0.06122449  0.5000000  2.227273     3
## [68]   {Burgers}          => {Cafeteria}        0.08163265  0.6666667  3.629630     4
## [69]   {Burgers}          => {Cafe-Coffee_Shop} 0.08163265  0.6666667  4.083333     4
## [70]   {Cafe-Coffee_Shop} => {Burgers}          0.08163265  0.5000000  4.083333     4
## [71]   {Hot_Dogs}         => {American}         0.08163265  0.6666667  2.969697     4
## [72]   {Hot_Dogs}         => {Cafeteria}        0.12244898  1.0000000  5.444444     6
## [73]   {Cafeteria}        => {Hot_Dogs}         0.12244898  0.6666667  5.444444     6
## [74]   {Hot_Dogs}         => {Cafe-Coffee_Shop} 0.10204082  0.8333333  5.104167     5
## [75]   {Cafe-Coffee_Shop} => {Hot_Dogs}         0.10204082  0.6250000  5.104167     5
## [76]   {Cafe-Coffee_Shop} => {American}         0.10204082  0.6250000  2.784091     5
## [77]   {Cafeteria}        => {Cafe-Coffee_Shop} 0.14285714  0.7777778  4.763889     7
## [78]   {Cafe-Coffee_Shop} => {Cafeteria}        0.14285714  0.8750000  4.763889     7
## [79]   {Diner,                                                                       
##         Family}           => {Cafeteria}        0.06122449  1.0000000  5.444444     3
## [80]   {Cafeteria,                                                                   
##         Diner}            => {Family}           0.06122449  1.0000000  6.125000     3
## [81]   {Cafeteria,                                                                   
##         Family}           => {Diner}            0.06122449  0.7500000 12.250000     3
## [82]   {Diner,                                                                       
##         Family}           => {Cafe-Coffee_Shop} 0.06122449  1.0000000  6.125000     3
## [83]   {Cafe-Coffee_Shop,                                                            
##         Diner}            => {Family}           0.06122449  1.0000000  6.125000     3
## [84]   {Cafe-Coffee_Shop,                                                            
##         Family}           => {Diner}            0.06122449  0.7500000 12.250000     3
## [85]   {Cafeteria,                                                                   
##         Diner}            => {Cafe-Coffee_Shop} 0.06122449  1.0000000  6.125000     3
## [86]   {Cafe-Coffee_Shop,                                                            
##         Diner}            => {Cafeteria}        0.06122449  1.0000000  5.444444     3
## [87]   {Italian,                                                                     
##         Juice}            => {Hot_Dogs}         0.06122449  1.0000000  8.166667     3
## [88]   {Hot_Dogs,                                                                    
##         Juice}            => {Italian}          0.06122449  1.0000000  7.000000     3
## [89]   {Hot_Dogs,                                                                    
##         Italian}          => {Juice}            0.06122449  0.7500000 12.250000     3
## [90]   {Italian,                                                                     
##         Juice}            => {American}         0.06122449  1.0000000  4.454545     3
## [91]   {American,                                                                    
##         Juice}            => {Italian}          0.06122449  1.0000000  7.000000     3
## [92]   {American,                                                                    
##         Italian}          => {Juice}            0.06122449  1.0000000 16.333333     3
## [93]   {Italian,                                                                     
##         Juice}            => {Cafeteria}        0.06122449  1.0000000  5.444444     3
## [94]   {Cafeteria,                                                                   
##         Juice}            => {Italian}          0.06122449  1.0000000  7.000000     3
## [95]   {Cafeteria,                                                                   
##         Italian}          => {Juice}            0.06122449  0.7500000 12.250000     3
## [96]   {Italian,                                                                     
##         Juice}            => {Cafe-Coffee_Shop} 0.06122449  1.0000000  6.125000     3
## [97]   {Cafe-Coffee_Shop,                                                            
##         Juice}            => {Italian}          0.06122449  1.0000000  7.000000     3
## [98]   {Cafe-Coffee_Shop,                                                            
##         Italian}          => {Juice}            0.06122449  0.7500000 12.250000     3
## [99]   {Hot_Dogs,                                                                    
##         Juice}            => {American}         0.06122449  1.0000000  4.454545     3
## [100]  {American,                                                                    
##         Juice}            => {Hot_Dogs}         0.06122449  1.0000000  8.166667     3
## [101]  {American,                                                                    
##         Hot_Dogs}         => {Juice}            0.06122449  0.7500000 12.250000     3
## [102]  {Hot_Dogs,                                                                    
##         Juice}            => {Cafeteria}        0.06122449  1.0000000  5.444444     3
## [103]  {Cafeteria,                                                                   
##         Juice}            => {Hot_Dogs}         0.06122449  1.0000000  8.166667     3
## [104]  {Cafeteria,                                                                   
##         Hot_Dogs}         => {Juice}            0.06122449  0.5000000  8.166667     3
## [105]  {Hot_Dogs,                                                                    
##         Juice}            => {Cafe-Coffee_Shop} 0.06122449  1.0000000  6.125000     3
## [106]  {Cafe-Coffee_Shop,                                                            
##         Juice}            => {Hot_Dogs}         0.06122449  1.0000000  8.166667     3
## [107]  {Cafe-Coffee_Shop,                                                            
##         Hot_Dogs}         => {Juice}            0.06122449  0.6000000  9.800000     3
## [108]  {American,                                                                    
##         Juice}            => {Cafeteria}        0.06122449  1.0000000  5.444444     3
## [109]  {Cafeteria,                                                                   
##         Juice}            => {American}         0.06122449  1.0000000  4.454545     3
## [110]  {American,                                                                    
##         Cafeteria}        => {Juice}            0.06122449  0.7500000 12.250000     3
## [111]  {American,                                                                    
##         Juice}            => {Cafe-Coffee_Shop} 0.06122449  1.0000000  6.125000     3
## [112]  {Cafe-Coffee_Shop,                                                            
##         Juice}            => {American}         0.06122449  1.0000000  4.454545     3
## [113]  {American,                                                                    
##         Cafe-Coffee_Shop} => {Juice}            0.06122449  0.6000000  9.800000     3
## [114]  {Cafeteria,                                                                   
##         Juice}            => {Cafe-Coffee_Shop} 0.06122449  1.0000000  6.125000     3
## [115]  {Cafe-Coffee_Shop,                                                            
##         Juice}            => {Cafeteria}        0.06122449  1.0000000  5.444444     3
## [116]  {Deli-Sandwiches,                                                             
##         Fast_Food}        => {Family}           0.06122449  1.0000000  6.125000     3
## [117]  {Deli-Sandwiches,                                                             
##         Family}           => {Fast_Food}        0.06122449  1.0000000  9.800000     3
## [118]  {Family,                                                                      
##         Fast_Food}        => {Deli-Sandwiches}  0.06122449  1.0000000 16.333333     3
## [119]  {Deli-Sandwiches,                                                             
##         Fast_Food}        => {Cafeteria}        0.06122449  1.0000000  5.444444     3
## [120]  {Cafeteria,                                                                   
##         Deli-Sandwiches}  => {Fast_Food}        0.06122449  1.0000000  9.800000     3
## [121]  {Cafeteria,                                                                   
##         Fast_Food}        => {Deli-Sandwiches}  0.06122449  0.7500000 12.250000     3
## [122]  {Deli-Sandwiches,                                                             
##         Fast_Food}        => {Cafe-Coffee_Shop} 0.06122449  1.0000000  6.125000     3
## [123]  {Cafe-Coffee_Shop,                                                            
##         Deli-Sandwiches}  => {Fast_Food}        0.06122449  1.0000000  9.800000     3
## [124]  {Cafe-Coffee_Shop,                                                            
##         Fast_Food}        => {Deli-Sandwiches}  0.06122449  0.7500000 12.250000     3
## [125]  {Deli-Sandwiches,                                                             
##         Family}           => {Cafeteria}        0.06122449  1.0000000  5.444444     3
## [126]  {Cafeteria,                                                                   
##         Deli-Sandwiches}  => {Family}           0.06122449  1.0000000  6.125000     3
## [127]  {Cafeteria,                                                                   
##         Family}           => {Deli-Sandwiches}  0.06122449  0.7500000 12.250000     3
## [128]  {Deli-Sandwiches,                                                             
##         Family}           => {Cafe-Coffee_Shop} 0.06122449  1.0000000  6.125000     3
## [129]  {Cafe-Coffee_Shop,                                                            
##         Deli-Sandwiches}  => {Family}           0.06122449  1.0000000  6.125000     3
## [130]  {Cafe-Coffee_Shop,                                                            
##         Family}           => {Deli-Sandwiches}  0.06122449  0.7500000 12.250000     3
## [131]  {Cafeteria,                                                                   
##         Deli-Sandwiches}  => {Cafe-Coffee_Shop} 0.06122449  1.0000000  6.125000     3
## [132]  {Cafe-Coffee_Shop,                                                            
##         Deli-Sandwiches}  => {Cafeteria}        0.06122449  1.0000000  5.444444     3
## [133]  {Fast_Food,                                                                   
##         Pizzeria}         => {Burgers}          0.06122449  1.0000000  8.166667     3
## [134]  {Burgers,                                                                     
##         Fast_Food}        => {Pizzeria}         0.06122449  1.0000000  5.444444     3
## [135]  {Burgers,                                                                     
##         Pizzeria}         => {Fast_Food}        0.06122449  0.7500000  7.350000     3
## [136]  {Fast_Food,                                                                   
##         Pizzeria}         => {Hot_Dogs}         0.06122449  1.0000000  8.166667     3
## [137]  {Fast_Food,                                                                   
##         Hot_Dogs}         => {Pizzeria}         0.06122449  1.0000000  5.444444     3
## [138]  {Hot_Dogs,                                                                    
##         Pizzeria}         => {Fast_Food}        0.06122449  0.7500000  7.350000     3
## [139]  {Fast_Food,                                                                   
##         Pizzeria}         => {American}         0.06122449  1.0000000  4.454545     3
## [140]  {American,                                                                    
##         Fast_Food}        => {Pizzeria}         0.06122449  1.0000000  5.444444     3
## [141]  {American,                                                                    
##         Pizzeria}         => {Fast_Food}        0.06122449  1.0000000  9.800000     3
## [142]  {Fast_Food,                                                                   
##         Pizzeria}         => {Cafeteria}        0.06122449  1.0000000  5.444444     3
## [143]  {Cafeteria,                                                                   
##         Fast_Food}        => {Pizzeria}         0.06122449  0.7500000  4.083333     3
## [144]  {Cafeteria,                                                                   
##         Pizzeria}         => {Fast_Food}        0.06122449  0.7500000  7.350000     3
## [145]  {Fast_Food,                                                                   
##         Pizzeria}         => {Cafe-Coffee_Shop} 0.06122449  1.0000000  6.125000     3
## [146]  {Cafe-Coffee_Shop,                                                            
##         Fast_Food}        => {Pizzeria}         0.06122449  0.7500000  4.083333     3
## [147]  {Cafe-Coffee_Shop,                                                            
##         Pizzeria}         => {Fast_Food}        0.06122449  1.0000000  9.800000     3
## [148]  {Family,                                                                      
##         Fast_Food}        => {Cafeteria}        0.06122449  1.0000000  5.444444     3
## [149]  {Cafeteria,                                                                   
##         Fast_Food}        => {Family}           0.06122449  0.7500000  4.593750     3
## [150]  {Cafeteria,                                                                   
##         Family}           => {Fast_Food}        0.06122449  0.7500000  7.350000     3
## [151]  {Family,                                                                      
##         Fast_Food}        => {Cafe-Coffee_Shop} 0.06122449  1.0000000  6.125000     3
## [152]  {Cafe-Coffee_Shop,                                                            
##         Fast_Food}        => {Family}           0.06122449  0.7500000  4.593750     3
## [153]  {Cafe-Coffee_Shop,                                                            
##         Family}           => {Fast_Food}        0.06122449  0.7500000  7.350000     3
## [154]  {Burgers,                                                                     
##         Fast_Food}        => {Hot_Dogs}         0.06122449  1.0000000  8.166667     3
## [155]  {Fast_Food,                                                                   
##         Hot_Dogs}         => {Burgers}          0.06122449  1.0000000  8.166667     3
## [156]  {Burgers,                                                                     
##         Hot_Dogs}         => {Fast_Food}        0.06122449  0.7500000  7.350000     3
## [157]  {Burgers,                                                                     
##         Fast_Food}        => {American}         0.06122449  1.0000000  4.454545     3
## [158]  {American,                                                                    
##         Fast_Food}        => {Burgers}          0.06122449  1.0000000  8.166667     3
## [159]  {American,                                                                    
##         Burgers}          => {Fast_Food}        0.06122449  1.0000000  9.800000     3
## [160]  {Burgers,                                                                     
##         Fast_Food}        => {Cafeteria}        0.06122449  1.0000000  5.444444     3
## [161]  {Cafeteria,                                                                   
##         Fast_Food}        => {Burgers}          0.06122449  0.7500000  6.125000     3
## [162]  {Burgers,                                                                     
##         Cafeteria}        => {Fast_Food}        0.06122449  0.7500000  7.350000     3
## [163]  {Burgers,                                                                     
##         Fast_Food}        => {Cafe-Coffee_Shop} 0.06122449  1.0000000  6.125000     3
## [164]  {Cafe-Coffee_Shop,                                                            
##         Fast_Food}        => {Burgers}          0.06122449  0.7500000  6.125000     3
## [165]  {Burgers,                                                                     
##         Cafe-Coffee_Shop} => {Fast_Food}        0.06122449  0.7500000  7.350000     3
## [166]  {Fast_Food,                                                                   
##         Hot_Dogs}         => {American}         0.06122449  1.0000000  4.454545     3
## [167]  {American,                                                                    
##         Fast_Food}        => {Hot_Dogs}         0.06122449  1.0000000  8.166667     3
## [168]  {American,                                                                    
##         Hot_Dogs}         => {Fast_Food}        0.06122449  0.7500000  7.350000     3
## [169]  {Fast_Food,                                                                   
##         Hot_Dogs}         => {Cafeteria}        0.06122449  1.0000000  5.444444     3
## [170]  {Cafeteria,                                                                   
##         Fast_Food}        => {Hot_Dogs}         0.06122449  0.7500000  6.125000     3
## [171]  {Cafeteria,                                                                   
##         Hot_Dogs}         => {Fast_Food}        0.06122449  0.5000000  4.900000     3
## [172]  {Fast_Food,                                                                   
##         Hot_Dogs}         => {Cafe-Coffee_Shop} 0.06122449  1.0000000  6.125000     3
## [173]  {Cafe-Coffee_Shop,                                                            
##         Fast_Food}        => {Hot_Dogs}         0.06122449  0.7500000  6.125000     3
## [174]  {Cafe-Coffee_Shop,                                                            
##         Hot_Dogs}         => {Fast_Food}        0.06122449  0.6000000  5.880000     3
## [175]  {American,                                                                    
##         Fast_Food}        => {Cafeteria}        0.06122449  1.0000000  5.444444     3
## [176]  {Cafeteria,                                                                   
##         Fast_Food}        => {American}         0.06122449  0.7500000  3.340909     3
## [177]  {American,                                                                    
##         Cafeteria}        => {Fast_Food}        0.06122449  0.7500000  7.350000     3
## [178]  {American,                                                                    
##         Fast_Food}        => {Cafe-Coffee_Shop} 0.06122449  1.0000000  6.125000     3
## [179]  {Cafe-Coffee_Shop,                                                            
##         Fast_Food}        => {American}         0.06122449  0.7500000  3.340909     3
## [180]  {American,                                                                    
##         Cafe-Coffee_Shop} => {Fast_Food}        0.06122449  0.6000000  5.880000     3
## [181]  {Cafeteria,                                                                   
##         Fast_Food}        => {Cafe-Coffee_Shop} 0.08163265  1.0000000  6.125000     4
## [182]  {Cafe-Coffee_Shop,                                                            
##         Fast_Food}        => {Cafeteria}        0.08163265  1.0000000  5.444444     4
## [183]  {Cafe-Coffee_Shop,                                                            
##         Cafeteria}        => {Fast_Food}        0.08163265  0.5714286  5.600000     4
## [184]  {Contemporary,                                                                
##         Japanese}         => {Cafe-Coffee_Shop} 0.06122449  1.0000000  6.125000     3
## [185]  {Cafe-Coffee_Shop,                                                            
##         Contemporary}     => {Japanese}         0.06122449  0.7500000  5.250000     3
## [186]  {Cafe-Coffee_Shop,                                                            
##         Japanese}         => {Contemporary}     0.06122449  0.7500000  7.350000     3
## [187]  {Cafeteria,                                                                   
##         Contemporary}     => {Cafe-Coffee_Shop} 0.06122449  1.0000000  6.125000     3
## [188]  {Cafe-Coffee_Shop,                                                            
##         Contemporary}     => {Cafeteria}        0.06122449  0.7500000  4.083333     3
## [189]  {Chinese,                                                                     
##         Pizzeria}         => {Burgers}          0.06122449  1.0000000  8.166667     3
## [190]  {Burgers,                                                                     
##         Chinese}          => {Pizzeria}         0.06122449  0.7500000  4.083333     3
## [191]  {Burgers,                                                                     
##         Pizzeria}         => {Chinese}          0.06122449  0.7500000  6.125000     3
## [192]  {Chinese,                                                                     
##         Family}           => {Latin_American}   0.06122449  1.0000000  8.166667     3
## [193]  {Chinese,                                                                     
##         Latin_American}   => {Family}           0.06122449  1.0000000  6.125000     3
## [194]  {Family,                                                                      
##         Latin_American}   => {Chinese}          0.06122449  1.0000000  8.166667     3
## [195]  {Chinese,                                                                     
##         Family}           => {Burgers}          0.06122449  1.0000000  8.166667     3
## [196]  {Burgers,                                                                     
##         Chinese}          => {Family}           0.06122449  0.7500000  4.593750     3
## [197]  {Burgers,                                                                     
##         Family}           => {Chinese}          0.06122449  1.0000000  8.166667     3
## [198]  {Chinese,                                                                     
##         Family}           => {Hot_Dogs}         0.06122449  1.0000000  8.166667     3
## [199]  {Chinese,                                                                     
##         Hot_Dogs}         => {Family}           0.06122449  1.0000000  6.125000     3
## [200]  {Family,                                                                      
##         Hot_Dogs}         => {Chinese}          0.06122449  1.0000000  8.166667     3
## [201]  {Chinese,                                                                     
##         Family}           => {Cafeteria}        0.06122449  1.0000000  5.444444     3
## [202]  {Cafeteria,                                                                   
##         Chinese}          => {Family}           0.06122449  1.0000000  6.125000     3
## [203]  {Cafeteria,                                                                   
##         Family}           => {Chinese}          0.06122449  0.7500000  6.125000     3
## [204]  {Chinese,                                                                     
##         Family}           => {Cafe-Coffee_Shop} 0.06122449  1.0000000  6.125000     3
## [205]  {Cafe-Coffee_Shop,                                                            
##         Chinese}          => {Family}           0.06122449  1.0000000  6.125000     3
## [206]  {Cafe-Coffee_Shop,                                                            
##         Family}           => {Chinese}          0.06122449  0.7500000  6.125000     3
## [207]  {Chinese,                                                                     
##         Latin_American}   => {Burgers}          0.06122449  1.0000000  8.166667     3
## [208]  {Burgers,                                                                     
##         Chinese}          => {Latin_American}   0.06122449  0.7500000  6.125000     3
## [209]  {Burgers,                                                                     
##         Latin_American}   => {Chinese}          0.06122449  1.0000000  8.166667     3
## [210]  {Chinese,                                                                     
##         Latin_American}   => {Hot_Dogs}         0.06122449  1.0000000  8.166667     3
## [211]  {Chinese,                                                                     
##         Hot_Dogs}         => {Latin_American}   0.06122449  1.0000000  8.166667     3
## [212]  {Hot_Dogs,                                                                    
##         Latin_American}   => {Chinese}          0.06122449  0.7500000  6.125000     3
## [213]  {Chinese,                                                                     
##         Latin_American}   => {Cafeteria}        0.06122449  1.0000000  5.444444     3
## [214]  {Cafeteria,                                                                   
##         Chinese}          => {Latin_American}   0.06122449  1.0000000  8.166667     3
## [215]  {Cafeteria,                                                                   
##         Latin_American}   => {Chinese}          0.06122449  0.7500000  6.125000     3
## [216]  {Chinese,                                                                     
##         Latin_American}   => {Cafe-Coffee_Shop} 0.06122449  1.0000000  6.125000     3
## [217]  {Cafe-Coffee_Shop,                                                            
##         Chinese}          => {Latin_American}   0.06122449  1.0000000  8.166667     3
## [218]  {Cafe-Coffee_Shop,                                                            
##         Latin_American}   => {Chinese}          0.06122449  0.7500000  6.125000     3
## [219]  {Burgers,                                                                     
##         Chinese}          => {Hot_Dogs}         0.06122449  0.7500000  6.125000     3
## [220]  {Chinese,                                                                     
##         Hot_Dogs}         => {Burgers}          0.06122449  1.0000000  8.166667     3
## [221]  {Burgers,                                                                     
##         Hot_Dogs}         => {Chinese}          0.06122449  0.7500000  6.125000     3
## [222]  {Burgers,                                                                     
##         Chinese}          => {Cafeteria}        0.06122449  0.7500000  4.083333     3
## [223]  {Cafeteria,                                                                   
##         Chinese}          => {Burgers}          0.06122449  1.0000000  8.166667     3
## [224]  {Burgers,                                                                     
##         Cafeteria}        => {Chinese}          0.06122449  0.7500000  6.125000     3
## [225]  {Burgers,                                                                     
##         Chinese}          => {Cafe-Coffee_Shop} 0.06122449  0.7500000  4.593750     3
## [226]  {Cafe-Coffee_Shop,                                                            
##         Chinese}          => {Burgers}          0.06122449  1.0000000  8.166667     3
## [227]  {Burgers,                                                                     
##         Cafe-Coffee_Shop} => {Chinese}          0.06122449  0.7500000  6.125000     3
## [228]  {Chinese,                                                                     
##         Hot_Dogs}         => {Cafeteria}        0.06122449  1.0000000  5.444444     3
## [229]  {Cafeteria,                                                                   
##         Chinese}          => {Hot_Dogs}         0.06122449  1.0000000  8.166667     3
## [230]  {Cafeteria,                                                                   
##         Hot_Dogs}         => {Chinese}          0.06122449  0.5000000  4.083333     3
## [231]  {Chinese,                                                                     
##         Hot_Dogs}         => {Cafe-Coffee_Shop} 0.06122449  1.0000000  6.125000     3
## [232]  {Cafe-Coffee_Shop,                                                            
##         Chinese}          => {Hot_Dogs}         0.06122449  1.0000000  8.166667     3
## [233]  {Cafe-Coffee_Shop,                                                            
##         Hot_Dogs}         => {Chinese}          0.06122449  0.6000000  4.900000     3
## [234]  {Cafeteria,                                                                   
##         Chinese}          => {Cafe-Coffee_Shop} 0.06122449  1.0000000  6.125000     3
## [235]  {Cafe-Coffee_Shop,                                                            
##         Chinese}          => {Cafeteria}        0.06122449  1.0000000  5.444444     3
## [236]  {Italian,                                                                     
##         Latin_American}   => {Hot_Dogs}         0.06122449  1.0000000  8.166667     3
## [237]  {Hot_Dogs,                                                                    
##         Italian}          => {Latin_American}   0.06122449  0.7500000  6.125000     3
## [238]  {Hot_Dogs,                                                                    
##         Latin_American}   => {Italian}          0.06122449  0.7500000  5.250000     3
## [239]  {Italian,                                                                     
##         Latin_American}   => {Cafeteria}        0.06122449  1.0000000  5.444444     3
## [240]  {Cafeteria,                                                                   
##         Italian}          => {Latin_American}   0.06122449  0.7500000  6.125000     3
## [241]  {Cafeteria,                                                                   
##         Latin_American}   => {Italian}          0.06122449  0.7500000  5.250000     3
## [242]  {Italian,                                                                     
##         Latin_American}   => {Cafe-Coffee_Shop} 0.06122449  1.0000000  6.125000     3
## [243]  {Cafe-Coffee_Shop,                                                            
##         Italian}          => {Latin_American}   0.06122449  0.7500000  6.125000     3
## [244]  {Cafe-Coffee_Shop,                                                            
##         Latin_American}   => {Italian}          0.06122449  0.7500000  5.250000     3
## [245]  {Burgers,                                                                     
##         Italian}          => {Hot_Dogs}         0.06122449  1.0000000  8.166667     3
## [246]  {Hot_Dogs,                                                                    
##         Italian}          => {Burgers}          0.06122449  0.7500000  6.125000     3
## [247]  {Burgers,                                                                     
##         Hot_Dogs}         => {Italian}          0.06122449  0.7500000  5.250000     3
## [248]  {Burgers,                                                                     
##         Italian}          => {Cafeteria}        0.06122449  1.0000000  5.444444     3
## [249]  {Cafeteria,                                                                   
##         Italian}          => {Burgers}          0.06122449  0.7500000  6.125000     3
## [250]  {Burgers,                                                                     
##         Cafeteria}        => {Italian}          0.06122449  0.7500000  5.250000     3
## [251]  {Burgers,                                                                     
##         Italian}          => {Cafe-Coffee_Shop} 0.06122449  1.0000000  6.125000     3
## [252]  {Cafe-Coffee_Shop,                                                            
##         Italian}          => {Burgers}          0.06122449  0.7500000  6.125000     3
## [253]  {Burgers,                                                                     
##         Cafe-Coffee_Shop} => {Italian}          0.06122449  0.7500000  5.250000     3
## [254]  {Hot_Dogs,                                                                    
##         Italian}          => {American}         0.06122449  0.7500000  3.340909     3
## [255]  {American,                                                                    
##         Italian}          => {Hot_Dogs}         0.06122449  1.0000000  8.166667     3
## [256]  {American,                                                                    
##         Hot_Dogs}         => {Italian}          0.06122449  0.7500000  5.250000     3
## [257]  {Hot_Dogs,                                                                    
##         Italian}          => {Cafeteria}        0.08163265  1.0000000  5.444444     4
## [258]  {Cafeteria,                                                                   
##         Italian}          => {Hot_Dogs}         0.08163265  1.0000000  8.166667     4
## [259]  {Cafeteria,                                                                   
##         Hot_Dogs}         => {Italian}          0.08163265  0.6666667  4.666667     4
## [260]  {Hot_Dogs,                                                                    
##         Italian}          => {Cafe-Coffee_Shop} 0.08163265  1.0000000  6.125000     4
## [261]  {Cafe-Coffee_Shop,                                                            
##         Italian}          => {Hot_Dogs}         0.08163265  1.0000000  8.166667     4
## [262]  {Cafe-Coffee_Shop,                                                            
##         Hot_Dogs}         => {Italian}          0.08163265  0.8000000  5.600000     4
## [263]  {American,                                                                    
##         Italian}          => {Cafeteria}        0.06122449  1.0000000  5.444444     3
## [264]  {Cafeteria,                                                                   
##         Italian}          => {American}         0.06122449  0.7500000  3.340909     3
## [265]  {American,                                                                    
##         Cafeteria}        => {Italian}          0.06122449  0.7500000  5.250000     3
## [266]  {American,                                                                    
##         Italian}          => {Cafe-Coffee_Shop} 0.06122449  1.0000000  6.125000     3
## [267]  {Cafe-Coffee_Shop,                                                            
##         Italian}          => {American}         0.06122449  0.7500000  3.340909     3
## [268]  {American,                                                                    
##         Cafe-Coffee_Shop} => {Italian}          0.06122449  0.6000000  4.200000     3
## [269]  {Cafeteria,                                                                   
##         Italian}          => {Cafe-Coffee_Shop} 0.08163265  1.0000000  6.125000     4
## [270]  {Cafe-Coffee_Shop,                                                            
##         Italian}          => {Cafeteria}        0.08163265  1.0000000  5.444444     4
## [271]  {Cafe-Coffee_Shop,                                                            
##         Cafeteria}        => {Italian}          0.08163265  0.5714286  4.000000     4
## [272]  {Burgers,                                                                     
##         Pizzeria}         => {Hot_Dogs}         0.06122449  0.7500000  6.125000     3
## [273]  {Hot_Dogs,                                                                    
##         Pizzeria}         => {Burgers}          0.06122449  0.7500000  6.125000     3
## [274]  {Burgers,                                                                     
##         Hot_Dogs}         => {Pizzeria}         0.06122449  0.7500000  4.083333     3
## [275]  {Burgers,                                                                     
##         Pizzeria}         => {American}         0.06122449  0.7500000  3.340909     3
## [276]  {American,                                                                    
##         Pizzeria}         => {Burgers}          0.06122449  1.0000000  8.166667     3
## [277]  {American,                                                                    
##         Burgers}          => {Pizzeria}         0.06122449  1.0000000  5.444444     3
## [278]  {Burgers,                                                                     
##         Pizzeria}         => {Cafeteria}        0.06122449  0.7500000  4.083333     3
## [279]  {Cafeteria,                                                                   
##         Pizzeria}         => {Burgers}          0.06122449  0.7500000  6.125000     3
## [280]  {Burgers,                                                                     
##         Cafeteria}        => {Pizzeria}         0.06122449  0.7500000  4.083333     3
## [281]  {Burgers,                                                                     
##         Pizzeria}         => {Cafe-Coffee_Shop} 0.06122449  0.7500000  4.593750     3
## [282]  {Cafe-Coffee_Shop,                                                            
##         Pizzeria}         => {Burgers}          0.06122449  1.0000000  8.166667     3
## [283]  {Burgers,                                                                     
##         Cafe-Coffee_Shop} => {Pizzeria}         0.06122449  0.7500000  4.083333     3
## [284]  {Hot_Dogs,                                                                    
##         Pizzeria}         => {American}         0.06122449  0.7500000  3.340909     3
## [285]  {American,                                                                    
##         Pizzeria}         => {Hot_Dogs}         0.06122449  1.0000000  8.166667     3
## [286]  {American,                                                                    
##         Hot_Dogs}         => {Pizzeria}         0.06122449  0.7500000  4.083333     3
## [287]  {Hot_Dogs,                                                                    
##         Pizzeria}         => {Cafeteria}        0.08163265  1.0000000  5.444444     4
## [288]  {Cafeteria,                                                                   
##         Pizzeria}         => {Hot_Dogs}         0.08163265  1.0000000  8.166667     4
## [289]  {Cafeteria,                                                                   
##         Hot_Dogs}         => {Pizzeria}         0.08163265  0.6666667  3.629630     4
## [290]  {Hot_Dogs,                                                                    
##         Pizzeria}         => {Cafe-Coffee_Shop} 0.06122449  0.7500000  4.593750     3
## [291]  {Cafe-Coffee_Shop,                                                            
##         Pizzeria}         => {Hot_Dogs}         0.06122449  1.0000000  8.166667     3
## [292]  {Cafe-Coffee_Shop,                                                            
##         Hot_Dogs}         => {Pizzeria}         0.06122449  0.6000000  3.266667     3
## [293]  {American,                                                                    
##         Pizzeria}         => {Cafeteria}        0.06122449  1.0000000  5.444444     3
## [294]  {Cafeteria,                                                                   
##         Pizzeria}         => {American}         0.06122449  0.7500000  3.340909     3
## [295]  {American,                                                                    
##         Cafeteria}        => {Pizzeria}         0.06122449  0.7500000  4.083333     3
## [296]  {American,                                                                    
##         Pizzeria}         => {Cafe-Coffee_Shop} 0.06122449  1.0000000  6.125000     3
## [297]  {Cafe-Coffee_Shop,                                                            
##         Pizzeria}         => {American}         0.06122449  1.0000000  4.454545     3
## [298]  {American,                                                                    
##         Cafe-Coffee_Shop} => {Pizzeria}         0.06122449  0.6000000  3.266667     3
## [299]  {Cafeteria,                                                                   
##         Pizzeria}         => {Cafe-Coffee_Shop} 0.06122449  0.7500000  4.593750     3
## [300]  {Cafe-Coffee_Shop,                                                            
##         Pizzeria}         => {Cafeteria}        0.06122449  1.0000000  5.444444     3
## [301]  {Family,                                                                      
##         Latin_American}   => {Burgers}          0.06122449  1.0000000  8.166667     3
## [302]  {Burgers,                                                                     
##         Family}           => {Latin_American}   0.06122449  1.0000000  8.166667     3
## [303]  {Burgers,                                                                     
##         Latin_American}   => {Family}           0.06122449  1.0000000  6.125000     3
## [304]  {Family,                                                                      
##         Latin_American}   => {Hot_Dogs}         0.06122449  1.0000000  8.166667     3
## [305]  {Family,                                                                      
##         Hot_Dogs}         => {Latin_American}   0.06122449  1.0000000  8.166667     3
## [306]  {Hot_Dogs,                                                                    
##         Latin_American}   => {Family}           0.06122449  0.7500000  4.593750     3
## [307]  {Family,                                                                      
##         Latin_American}   => {Cafeteria}        0.06122449  1.0000000  5.444444     3
## [308]  {Cafeteria,                                                                   
##         Family}           => {Latin_American}   0.06122449  0.7500000  6.125000     3
## [309]  {Cafeteria,                                                                   
##         Latin_American}   => {Family}           0.06122449  0.7500000  4.593750     3
## [310]  {Family,                                                                      
##         Latin_American}   => {Cafe-Coffee_Shop} 0.06122449  1.0000000  6.125000     3
## [311]  {Cafe-Coffee_Shop,                                                            
##         Family}           => {Latin_American}   0.06122449  0.7500000  6.125000     3
## [312]  {Cafe-Coffee_Shop,                                                            
##         Latin_American}   => {Family}           0.06122449  0.7500000  4.593750     3
## [313]  {Burgers,                                                                     
##         Family}           => {Hot_Dogs}         0.06122449  1.0000000  8.166667     3
## [314]  {Family,                                                                      
##         Hot_Dogs}         => {Burgers}          0.06122449  1.0000000  8.166667     3
## [315]  {Burgers,                                                                     
##         Hot_Dogs}         => {Family}           0.06122449  0.7500000  4.593750     3
## [316]  {Burgers,                                                                     
##         Family}           => {Cafeteria}        0.06122449  1.0000000  5.444444     3
## [317]  {Cafeteria,                                                                   
##         Family}           => {Burgers}          0.06122449  0.7500000  6.125000     3
## [318]  {Burgers,                                                                     
##         Cafeteria}        => {Family}           0.06122449  0.7500000  4.593750     3
## [319]  {Burgers,                                                                     
##         Family}           => {Cafe-Coffee_Shop} 0.06122449  1.0000000  6.125000     3
## [320]  {Cafe-Coffee_Shop,                                                            
##         Family}           => {Burgers}          0.06122449  0.7500000  6.125000     3
## [321]  {Burgers,                                                                     
##         Cafe-Coffee_Shop} => {Family}           0.06122449  0.7500000  4.593750     3
## [322]  {Family,                                                                      
##         Hot_Dogs}         => {Cafeteria}        0.06122449  1.0000000  5.444444     3
## [323]  {Cafeteria,                                                                   
##         Family}           => {Hot_Dogs}         0.06122449  0.7500000  6.125000     3
## [324]  {Cafeteria,                                                                   
##         Hot_Dogs}         => {Family}           0.06122449  0.5000000  3.062500     3
## [325]  {Family,                                                                      
##         Hot_Dogs}         => {Cafe-Coffee_Shop} 0.06122449  1.0000000  6.125000     3
## [326]  {Cafe-Coffee_Shop,                                                            
##         Family}           => {Hot_Dogs}         0.06122449  0.7500000  6.125000     3
## [327]  {Cafe-Coffee_Shop,                                                            
##         Hot_Dogs}         => {Family}           0.06122449  0.6000000  3.675000     3
## [328]  {Cafeteria,                                                                   
##         Family}           => {Cafe-Coffee_Shop} 0.08163265  1.0000000  6.125000     4
## [329]  {Cafe-Coffee_Shop,                                                            
##         Family}           => {Cafeteria}        0.08163265  1.0000000  5.444444     4
## [330]  {Cafe-Coffee_Shop,                                                            
##         Cafeteria}        => {Family}           0.08163265  0.5714286  3.500000     4
## [331]  {Burgers,                                                                     
##         Latin_American}   => {Hot_Dogs}         0.06122449  1.0000000  8.166667     3
## [332]  {Hot_Dogs,                                                                    
##         Latin_American}   => {Burgers}          0.06122449  0.7500000  6.125000     3
## [333]  {Burgers,                                                                     
##         Hot_Dogs}         => {Latin_American}   0.06122449  0.7500000  6.125000     3
## [334]  {Burgers,                                                                     
##         Latin_American}   => {Cafeteria}        0.06122449  1.0000000  5.444444     3
## [335]  {Cafeteria,                                                                   
##         Latin_American}   => {Burgers}          0.06122449  0.7500000  6.125000     3
## [336]  {Burgers,                                                                     
##         Cafeteria}        => {Latin_American}   0.06122449  0.7500000  6.125000     3
## [337]  {Burgers,                                                                     
##         Latin_American}   => {Cafe-Coffee_Shop} 0.06122449  1.0000000  6.125000     3
## [338]  {Cafe-Coffee_Shop,                                                            
##         Latin_American}   => {Burgers}          0.06122449  0.7500000  6.125000     3
## [339]  {Burgers,                                                                     
##         Cafe-Coffee_Shop} => {Latin_American}   0.06122449  0.7500000  6.125000     3
## [340]  {Hot_Dogs,                                                                    
##         Latin_American}   => {American}         0.06122449  0.7500000  3.340909     3
## [341]  {American,                                                                    
##         Latin_American}   => {Hot_Dogs}         0.06122449  1.0000000  8.166667     3
## [342]  {American,                                                                    
##         Hot_Dogs}         => {Latin_American}   0.06122449  0.7500000  6.125000     3
## [343]  {Hot_Dogs,                                                                    
##         Latin_American}   => {Cafeteria}        0.08163265  1.0000000  5.444444     4
## [344]  {Cafeteria,                                                                   
##         Latin_American}   => {Hot_Dogs}         0.08163265  1.0000000  8.166667     4
## [345]  {Cafeteria,                                                                   
##         Hot_Dogs}         => {Latin_American}   0.08163265  0.6666667  5.444444     4
## [346]  {Hot_Dogs,                                                                    
##         Latin_American}   => {Cafe-Coffee_Shop} 0.08163265  1.0000000  6.125000     4
## [347]  {Cafe-Coffee_Shop,                                                            
##         Latin_American}   => {Hot_Dogs}         0.08163265  1.0000000  8.166667     4
## [348]  {Cafe-Coffee_Shop,                                                            
##         Hot_Dogs}         => {Latin_American}   0.08163265  0.8000000  6.533333     4
## [349]  {American,                                                                    
##         Latin_American}   => {Cafeteria}        0.06122449  1.0000000  5.444444     3
## [350]  {Cafeteria,                                                                   
##         Latin_American}   => {American}         0.06122449  0.7500000  3.340909     3
## [351]  {American,                                                                    
##         Cafeteria}        => {Latin_American}   0.06122449  0.7500000  6.125000     3
## [352]  {American,                                                                    
##         Latin_American}   => {Cafe-Coffee_Shop} 0.06122449  1.0000000  6.125000     3
## [353]  {Cafe-Coffee_Shop,                                                            
##         Latin_American}   => {American}         0.06122449  0.7500000  3.340909     3
## [354]  {American,                                                                    
##         Cafe-Coffee_Shop} => {Latin_American}   0.06122449  0.6000000  4.900000     3
## [355]  {Cafeteria,                                                                   
##         Latin_American}   => {Cafe-Coffee_Shop} 0.08163265  1.0000000  6.125000     4
## [356]  {Cafe-Coffee_Shop,                                                            
##         Latin_American}   => {Cafeteria}        0.08163265  1.0000000  5.444444     4
## [357]  {Cafe-Coffee_Shop,                                                            
##         Cafeteria}        => {Latin_American}   0.08163265  0.5714286  4.666667     4
## [358]  {American,                                                                    
##         Japanese}         => {Cafe-Coffee_Shop} 0.06122449  1.0000000  6.125000     3
## [359]  {Cafe-Coffee_Shop,                                                            
##         Japanese}         => {American}         0.06122449  0.7500000  3.340909     3
## [360]  {American,                                                                    
##         Cafe-Coffee_Shop} => {Japanese}         0.06122449  0.6000000  4.200000     3
## [361]  {Cafeteria,                                                                   
##         Japanese}         => {Cafe-Coffee_Shop} 0.06122449  1.0000000  6.125000     3
## [362]  {Cafe-Coffee_Shop,                                                            
##         Japanese}         => {Cafeteria}        0.06122449  0.7500000  4.083333     3
## [363]  {Burgers,                                                                     
##         Hot_Dogs}         => {American}         0.06122449  0.7500000  3.340909     3
## [364]  {American,                                                                    
##         Burgers}          => {Hot_Dogs}         0.06122449  1.0000000  8.166667     3
## [365]  {American,                                                                    
##         Hot_Dogs}         => {Burgers}          0.06122449  0.7500000  6.125000     3
## [366]  {Burgers,                                                                     
##         Hot_Dogs}         => {Cafeteria}        0.08163265  1.0000000  5.444444     4
## [367]  {Burgers,                                                                     
##         Cafeteria}        => {Hot_Dogs}         0.08163265  1.0000000  8.166667     4
## [368]  {Cafeteria,                                                                   
##         Hot_Dogs}         => {Burgers}          0.08163265  0.6666667  5.444444     4
## [369]  {Burgers,                                                                     
##         Hot_Dogs}         => {Cafe-Coffee_Shop} 0.08163265  1.0000000  6.125000     4
## [370]  {Burgers,                                                                     
##         Cafe-Coffee_Shop} => {Hot_Dogs}         0.08163265  1.0000000  8.166667     4
## [371]  {Cafe-Coffee_Shop,                                                            
##         Hot_Dogs}         => {Burgers}          0.08163265  0.8000000  6.533333     4
## [372]  {American,                                                                    
##         Burgers}          => {Cafeteria}        0.06122449  1.0000000  5.444444     3
## [373]  {Burgers,                                                                     
##         Cafeteria}        => {American}         0.06122449  0.7500000  3.340909     3
## [374]  {American,                                                                    
##         Cafeteria}        => {Burgers}          0.06122449  0.7500000  6.125000     3
## [375]  {American,                                                                    
##         Burgers}          => {Cafe-Coffee_Shop} 0.06122449  1.0000000  6.125000     3
## [376]  {Burgers,                                                                     
##         Cafe-Coffee_Shop} => {American}         0.06122449  0.7500000  3.340909     3
## [377]  {American,                                                                    
##         Cafe-Coffee_Shop} => {Burgers}          0.06122449  0.6000000  4.900000     3
## [378]  {Burgers,                                                                     
##         Cafeteria}        => {Cafe-Coffee_Shop} 0.08163265  1.0000000  6.125000     4
## [379]  {Burgers,                                                                     
##         Cafe-Coffee_Shop} => {Cafeteria}        0.08163265  1.0000000  5.444444     4
## [380]  {Cafe-Coffee_Shop,                                                            
##         Cafeteria}        => {Burgers}          0.08163265  0.5714286  4.666667     4
## [381]  {American,                                                                    
##         Hot_Dogs}         => {Cafeteria}        0.08163265  1.0000000  5.444444     4
## [382]  {Cafeteria,                                                                   
##         Hot_Dogs}         => {American}         0.08163265  0.6666667  2.969697     4
## [383]  {American,                                                                    
##         Cafeteria}        => {Hot_Dogs}         0.08163265  1.0000000  8.166667     4
## [384]  {American,                                                                    
##         Hot_Dogs}         => {Cafe-Coffee_Shop} 0.08163265  1.0000000  6.125000     4
## [385]  {Cafe-Coffee_Shop,                                                            
##         Hot_Dogs}         => {American}         0.08163265  0.8000000  3.563636     4
## [386]  {American,                                                                    
##         Cafe-Coffee_Shop} => {Hot_Dogs}         0.08163265  0.8000000  6.533333     4
## [387]  {Cafeteria,                                                                   
##         Hot_Dogs}         => {Cafe-Coffee_Shop} 0.10204082  0.8333333  5.104167     5
## [388]  {Cafe-Coffee_Shop,                                                            
##         Hot_Dogs}         => {Cafeteria}        0.10204082  1.0000000  5.444444     5
## [389]  {Cafe-Coffee_Shop,                                                            
##         Cafeteria}        => {Hot_Dogs}         0.10204082  0.7142857  5.833333     5
## [390]  {American,                                                                    
##         Cafeteria}        => {Cafe-Coffee_Shop} 0.08163265  1.0000000  6.125000     4
## [391]  {American,                                                                    
##         Cafe-Coffee_Shop} => {Cafeteria}        0.08163265  0.8000000  4.355556     4
## [392]  {Cafe-Coffee_Shop,                                                            
##         Cafeteria}        => {American}         0.08163265  0.5714286  2.545455     4
## [393]  {Cafeteria,                                                                   
##         Diner,                                                                       
##         Family}           => {Cafe-Coffee_Shop} 0.06122449  1.0000000  6.125000     3
## [394]  {Cafe-Coffee_Shop,                                                            
##         Diner,                                                                       
##         Family}           => {Cafeteria}        0.06122449  1.0000000  5.444444     3
## [395]  {Cafe-Coffee_Shop,                                                            
##         Cafeteria,                                                                   
##         Diner}            => {Family}           0.06122449  1.0000000  6.125000     3
## [396]  {Cafe-Coffee_Shop,                                                            
##         Cafeteria,                                                                   
##         Family}           => {Diner}            0.06122449  0.7500000 12.250000     3
## [397]  {Hot_Dogs,                                                                    
##         Italian,                                                                     
##         Juice}            => {American}         0.06122449  1.0000000  4.454545     3
## [398]  {American,                                                                    
##         Italian,                                                                     
##         Juice}            => {Hot_Dogs}         0.06122449  1.0000000  8.166667     3
## [399]  {American,                                                                    
##         Hot_Dogs,                                                                    
##         Juice}            => {Italian}          0.06122449  1.0000000  7.000000     3
## [400]  {American,                                                                    
##         Hot_Dogs,                                                                    
##         Italian}          => {Juice}            0.06122449  1.0000000 16.333333     3
## [401]  {Hot_Dogs,                                                                    
##         Italian,                                                                     
##         Juice}            => {Cafeteria}        0.06122449  1.0000000  5.444444     3
## [402]  {Cafeteria,                                                                   
##         Italian,                                                                     
##         Juice}            => {Hot_Dogs}         0.06122449  1.0000000  8.166667     3
## [403]  {Cafeteria,                                                                   
##         Hot_Dogs,                                                                    
##         Juice}            => {Italian}          0.06122449  1.0000000  7.000000     3
## [404]  {Cafeteria,                                                                   
##         Hot_Dogs,                                                                    
##         Italian}          => {Juice}            0.06122449  0.7500000 12.250000     3
## [405]  {Hot_Dogs,                                                                    
##         Italian,                                                                     
##         Juice}            => {Cafe-Coffee_Shop} 0.06122449  1.0000000  6.125000     3
## [406]  {Cafe-Coffee_Shop,                                                            
##         Italian,                                                                     
##         Juice}            => {Hot_Dogs}         0.06122449  1.0000000  8.166667     3
## [407]  {Cafe-Coffee_Shop,                                                            
##         Hot_Dogs,                                                                    
##         Juice}            => {Italian}          0.06122449  1.0000000  7.000000     3
## [408]  {Cafe-Coffee_Shop,                                                            
##         Hot_Dogs,                                                                    
##         Italian}          => {Juice}            0.06122449  0.7500000 12.250000     3
## [409]  {American,                                                                    
##         Italian,                                                                     
##         Juice}            => {Cafeteria}        0.06122449  1.0000000  5.444444     3
## [410]  {Cafeteria,                                                                   
##         Italian,                                                                     
##         Juice}            => {American}         0.06122449  1.0000000  4.454545     3
## [411]  {American,                                                                    
##         Cafeteria,                                                                   
##         Juice}            => {Italian}          0.06122449  1.0000000  7.000000     3
## [412]  {American,                                                                    
##         Cafeteria,                                                                   
##         Italian}          => {Juice}            0.06122449  1.0000000 16.333333     3
## [413]  {American,                                                                    
##         Italian,                                                                     
##         Juice}            => {Cafe-Coffee_Shop} 0.06122449  1.0000000  6.125000     3
## [414]  {Cafe-Coffee_Shop,                                                            
##         Italian,                                                                     
##         Juice}            => {American}         0.06122449  1.0000000  4.454545     3
## [415]  {American,                                                                    
##         Cafe-Coffee_Shop,                                                            
##         Juice}            => {Italian}          0.06122449  1.0000000  7.000000     3
## [416]  {American,                                                                    
##         Cafe-Coffee_Shop,                                                            
##         Italian}          => {Juice}            0.06122449  1.0000000 16.333333     3
## [417]  {Cafeteria,                                                                   
##         Italian,                                                                     
##         Juice}            => {Cafe-Coffee_Shop} 0.06122449  1.0000000  6.125000     3
## [418]  {Cafe-Coffee_Shop,                                                            
##         Italian,                                                                     
##         Juice}            => {Cafeteria}        0.06122449  1.0000000  5.444444     3
## [419]  {Cafe-Coffee_Shop,                                                            
##         Cafeteria,                                                                   
##         Juice}            => {Italian}          0.06122449  1.0000000  7.000000     3
## [420]  {Cafe-Coffee_Shop,                                                            
##         Cafeteria,                                                                   
##         Italian}          => {Juice}            0.06122449  0.7500000 12.250000     3
## [421]  {American,                                                                    
##         Hot_Dogs,                                                                    
##         Juice}            => {Cafeteria}        0.06122449  1.0000000  5.444444     3
## [422]  {Cafeteria,                                                                   
##         Hot_Dogs,                                                                    
##         Juice}            => {American}         0.06122449  1.0000000  4.454545     3
## [423]  {American,                                                                    
##         Cafeteria,                                                                   
##         Juice}            => {Hot_Dogs}         0.06122449  1.0000000  8.166667     3
## [424]  {American,                                                                    
##         Cafeteria,                                                                   
##         Hot_Dogs}         => {Juice}            0.06122449  0.7500000 12.250000     3
## [425]  {American,                                                                    
##         Hot_Dogs,                                                                    
##         Juice}            => {Cafe-Coffee_Shop} 0.06122449  1.0000000  6.125000     3
## [426]  {Cafe-Coffee_Shop,                                                            
##         Hot_Dogs,                                                                    
##         Juice}            => {American}         0.06122449  1.0000000  4.454545     3
## [427]  {American,                                                                    
##         Cafe-Coffee_Shop,                                                            
##         Juice}            => {Hot_Dogs}         0.06122449  1.0000000  8.166667     3
## [428]  {American,                                                                    
##         Cafe-Coffee_Shop,                                                            
##         Hot_Dogs}         => {Juice}            0.06122449  0.7500000 12.250000     3
## [429]  {Cafeteria,                                                                   
##         Hot_Dogs,                                                                    
##         Juice}            => {Cafe-Coffee_Shop} 0.06122449  1.0000000  6.125000     3
## [430]  {Cafe-Coffee_Shop,                                                            
##         Hot_Dogs,                                                                    
##         Juice}            => {Cafeteria}        0.06122449  1.0000000  5.444444     3
## [431]  {Cafe-Coffee_Shop,                                                            
##         Cafeteria,                                                                   
##         Juice}            => {Hot_Dogs}         0.06122449  1.0000000  8.166667     3
## [432]  {Cafe-Coffee_Shop,                                                            
##         Cafeteria,                                                                   
##         Hot_Dogs}         => {Juice}            0.06122449  0.6000000  9.800000     3
## [433]  {American,                                                                    
##         Cafeteria,                                                                   
##         Juice}            => {Cafe-Coffee_Shop} 0.06122449  1.0000000  6.125000     3
## [434]  {American,                                                                    
##         Cafe-Coffee_Shop,                                                            
##         Juice}            => {Cafeteria}        0.06122449  1.0000000  5.444444     3
## [435]  {Cafe-Coffee_Shop,                                                            
##         Cafeteria,                                                                   
##         Juice}            => {American}         0.06122449  1.0000000  4.454545     3
## [436]  {American,                                                                    
##         Cafe-Coffee_Shop,                                                            
##         Cafeteria}        => {Juice}            0.06122449  0.7500000 12.250000     3
## [437]  {Deli-Sandwiches,                                                             
##         Family,                                                                      
##         Fast_Food}        => {Cafeteria}        0.06122449  1.0000000  5.444444     3
## [438]  {Cafeteria,                                                                   
##         Deli-Sandwiches,                                                             
##         Fast_Food}        => {Family}           0.06122449  1.0000000  6.125000     3
## [439]  {Cafeteria,                                                                   
##         Deli-Sandwiches,                                                             
##         Family}           => {Fast_Food}        0.06122449  1.0000000  9.800000     3
## [440]  {Cafeteria,                                                                   
##         Family,                                                                      
##         Fast_Food}        => {Deli-Sandwiches}  0.06122449  1.0000000 16.333333     3
## [441]  {Deli-Sandwiches,                                                             
##         Family,                                                                      
##         Fast_Food}        => {Cafe-Coffee_Shop} 0.06122449  1.0000000  6.125000     3
## [442]  {Cafe-Coffee_Shop,                                                            
##         Deli-Sandwiches,                                                             
##         Fast_Food}        => {Family}           0.06122449  1.0000000  6.125000     3
## [443]  {Cafe-Coffee_Shop,                                                            
##         Deli-Sandwiches,                                                             
##         Family}           => {Fast_Food}        0.06122449  1.0000000  9.800000     3
## [444]  {Cafe-Coffee_Shop,                                                            
##         Family,                                                                      
##         Fast_Food}        => {Deli-Sandwiches}  0.06122449  1.0000000 16.333333     3
## [445]  {Cafeteria,                                                                   
##         Deli-Sandwiches,                                                             
##         Fast_Food}        => {Cafe-Coffee_Shop} 0.06122449  1.0000000  6.125000     3
## [446]  {Cafe-Coffee_Shop,                                                            
##         Deli-Sandwiches,                                                             
##         Fast_Food}        => {Cafeteria}        0.06122449  1.0000000  5.444444     3
## [447]  {Cafe-Coffee_Shop,                                                            
##         Cafeteria,                                                                   
##         Deli-Sandwiches}  => {Fast_Food}        0.06122449  1.0000000  9.800000     3
## [448]  {Cafe-Coffee_Shop,                                                            
##         Cafeteria,                                                                   
##         Fast_Food}        => {Deli-Sandwiches}  0.06122449  0.7500000 12.250000     3
## [449]  {Cafeteria,                                                                   
##         Deli-Sandwiches,                                                             
##         Family}           => {Cafe-Coffee_Shop} 0.06122449  1.0000000  6.125000     3
## [450]  {Cafe-Coffee_Shop,                                                            
##         Deli-Sandwiches,                                                             
##         Family}           => {Cafeteria}        0.06122449  1.0000000  5.444444     3
## [451]  {Cafe-Coffee_Shop,                                                            
##         Cafeteria,                                                                   
##         Deli-Sandwiches}  => {Family}           0.06122449  1.0000000  6.125000     3
## [452]  {Cafe-Coffee_Shop,                                                            
##         Cafeteria,                                                                   
##         Family}           => {Deli-Sandwiches}  0.06122449  0.7500000 12.250000     3
## [453]  {Burgers,                                                                     
##         Fast_Food,                                                                   
##         Pizzeria}         => {Hot_Dogs}         0.06122449  1.0000000  8.166667     3
## [454]  {Fast_Food,                                                                   
##         Hot_Dogs,                                                                    
##         Pizzeria}         => {Burgers}          0.06122449  1.0000000  8.166667     3
## [455]  {Burgers,                                                                     
##         Fast_Food,                                                                   
##         Hot_Dogs}         => {Pizzeria}         0.06122449  1.0000000  5.444444     3
## [456]  {Burgers,                                                                     
##         Hot_Dogs,                                                                    
##         Pizzeria}         => {Fast_Food}        0.06122449  1.0000000  9.800000     3
## [457]  {Burgers,                                                                     
##         Fast_Food,                                                                   
##         Pizzeria}         => {American}         0.06122449  1.0000000  4.454545     3
## [458]  {American,                                                                    
##         Fast_Food,                                                                   
##         Pizzeria}         => {Burgers}          0.06122449  1.0000000  8.166667     3
## [459]  {American,                                                                    
##         Burgers,                                                                     
##         Fast_Food}        => {Pizzeria}         0.06122449  1.0000000  5.444444     3
## [460]  {American,                                                                    
##         Burgers,                                                                     
##         Pizzeria}         => {Fast_Food}        0.06122449  1.0000000  9.800000     3
## [461]  {Burgers,                                                                     
##         Fast_Food,                                                                   
##         Pizzeria}         => {Cafeteria}        0.06122449  1.0000000  5.444444     3
## [462]  {Cafeteria,                                                                   
##         Fast_Food,                                                                   
##         Pizzeria}         => {Burgers}          0.06122449  1.0000000  8.166667     3
## [463]  {Burgers,                                                                     
##         Cafeteria,                                                                   
##         Fast_Food}        => {Pizzeria}         0.06122449  1.0000000  5.444444     3
## [464]  {Burgers,                                                                     
##         Cafeteria,                                                                   
##         Pizzeria}         => {Fast_Food}        0.06122449  1.0000000  9.800000     3
## [465]  {Burgers,                                                                     
##         Fast_Food,                                                                   
##         Pizzeria}         => {Cafe-Coffee_Shop} 0.06122449  1.0000000  6.125000     3
## [466]  {Cafe-Coffee_Shop,                                                            
##         Fast_Food,                                                                   
##         Pizzeria}         => {Burgers}          0.06122449  1.0000000  8.166667     3
## [467]  {Burgers,                                                                     
##         Cafe-Coffee_Shop,                                                            
##         Fast_Food}        => {Pizzeria}         0.06122449  1.0000000  5.444444     3
## [468]  {Burgers,                                                                     
##         Cafe-Coffee_Shop,                                                            
##         Pizzeria}         => {Fast_Food}        0.06122449  1.0000000  9.800000     3
## [469]  {Fast_Food,                                                                   
##         Hot_Dogs,                                                                    
##         Pizzeria}         => {American}         0.06122449  1.0000000  4.454545     3
## [470]  {American,                                                                    
##         Fast_Food,                                                                   
##         Pizzeria}         => {Hot_Dogs}         0.06122449  1.0000000  8.166667     3
## [471]  {American,                                                                    
##         Fast_Food,                                                                   
##         Hot_Dogs}         => {Pizzeria}         0.06122449  1.0000000  5.444444     3
## [472]  {American,                                                                    
##         Hot_Dogs,                                                                    
##         Pizzeria}         => {Fast_Food}        0.06122449  1.0000000  9.800000     3
## [473]  {Fast_Food,                                                                   
##         Hot_Dogs,                                                                    
##         Pizzeria}         => {Cafeteria}        0.06122449  1.0000000  5.444444     3
## [474]  {Cafeteria,                                                                   
##         Fast_Food,                                                                   
##         Pizzeria}         => {Hot_Dogs}         0.06122449  1.0000000  8.166667     3
## [475]  {Cafeteria,                                                                   
##         Fast_Food,                                                                   
##         Hot_Dogs}         => {Pizzeria}         0.06122449  1.0000000  5.444444     3
## [476]  {Cafeteria,                                                                   
##         Hot_Dogs,                                                                    
##         Pizzeria}         => {Fast_Food}        0.06122449  0.7500000  7.350000     3
## [477]  {Fast_Food,                                                                   
##         Hot_Dogs,                                                                    
##         Pizzeria}         => {Cafe-Coffee_Shop} 0.06122449  1.0000000  6.125000     3
## [478]  {Cafe-Coffee_Shop,                                                            
##         Fast_Food,                                                                   
##         Pizzeria}         => {Hot_Dogs}         0.06122449  1.0000000  8.166667     3
## [479]  {Cafe-Coffee_Shop,                                                            
##         Fast_Food,                                                                   
##         Hot_Dogs}         => {Pizzeria}         0.06122449  1.0000000  5.444444     3
## [480]  {Cafe-Coffee_Shop,                                                            
##         Hot_Dogs,                                                                    
##         Pizzeria}         => {Fast_Food}        0.06122449  1.0000000  9.800000     3
## [481]  {American,                                                                    
##         Fast_Food,                                                                   
##         Pizzeria}         => {Cafeteria}        0.06122449  1.0000000  5.444444     3
## [482]  {Cafeteria,                                                                   
##         Fast_Food,                                                                   
##         Pizzeria}         => {American}         0.06122449  1.0000000  4.454545     3
## [483]  {American,                                                                    
##         Cafeteria,                                                                   
##         Fast_Food}        => {Pizzeria}         0.06122449  1.0000000  5.444444     3
## [484]  {American,                                                                    
##         Cafeteria,                                                                   
##         Pizzeria}         => {Fast_Food}        0.06122449  1.0000000  9.800000     3
## [485]  {American,                                                                    
##         Fast_Food,                                                                   
##         Pizzeria}         => {Cafe-Coffee_Shop} 0.06122449  1.0000000  6.125000     3
## [486]  {Cafe-Coffee_Shop,                                                            
##         Fast_Food,                                                                   
##         Pizzeria}         => {American}         0.06122449  1.0000000  4.454545     3
## [487]  {American,                                                                    
##         Cafe-Coffee_Shop,                                                            
##         Fast_Food}        => {Pizzeria}         0.06122449  1.0000000  5.444444     3
## [488]  {American,                                                                    
##         Cafe-Coffee_Shop,                                                            
##         Pizzeria}         => {Fast_Food}        0.06122449  1.0000000  9.800000     3
## [489]  {Cafeteria,                                                                   
##         Fast_Food,                                                                   
##         Pizzeria}         => {Cafe-Coffee_Shop} 0.06122449  1.0000000  6.125000     3
## [490]  {Cafe-Coffee_Shop,                                                            
##         Fast_Food,                                                                   
##         Pizzeria}         => {Cafeteria}        0.06122449  1.0000000  5.444444     3
## [491]  {Cafe-Coffee_Shop,                                                            
##         Cafeteria,                                                                   
##         Fast_Food}        => {Pizzeria}         0.06122449  0.7500000  4.083333     3
## [492]  {Cafe-Coffee_Shop,                                                            
##         Cafeteria,                                                                   
##         Pizzeria}         => {Fast_Food}        0.06122449  1.0000000  9.800000     3
## [493]  {Cafeteria,                                                                   
##         Family,                                                                      
##         Fast_Food}        => {Cafe-Coffee_Shop} 0.06122449  1.0000000  6.125000     3
## [494]  {Cafe-Coffee_Shop,                                                            
##         Family,                                                                      
##         Fast_Food}        => {Cafeteria}        0.06122449  1.0000000  5.444444     3
## [495]  {Cafe-Coffee_Shop,                                                            
##         Cafeteria,                                                                   
##         Fast_Food}        => {Family}           0.06122449  0.7500000  4.593750     3
## [496]  {Cafe-Coffee_Shop,                                                            
##         Cafeteria,                                                                   
##         Family}           => {Fast_Food}        0.06122449  0.7500000  7.350000     3
## [497]  {Burgers,                                                                     
##         Fast_Food,                                                                   
##         Hot_Dogs}         => {American}         0.06122449  1.0000000  4.454545     3
## [498]  {American,                                                                    
##         Burgers,                                                                     
##         Fast_Food}        => {Hot_Dogs}         0.06122449  1.0000000  8.166667     3
## [499]  {American,                                                                    
##         Fast_Food,                                                                   
##         Hot_Dogs}         => {Burgers}          0.06122449  1.0000000  8.166667     3
## [500]  {American,                                                                    
##         Burgers,                                                                     
##         Hot_Dogs}         => {Fast_Food}        0.06122449  1.0000000  9.800000     3
## [501]  {Burgers,                                                                     
##         Fast_Food,                                                                   
##         Hot_Dogs}         => {Cafeteria}        0.06122449  1.0000000  5.444444     3
## [502]  {Burgers,                                                                     
##         Cafeteria,                                                                   
##         Fast_Food}        => {Hot_Dogs}         0.06122449  1.0000000  8.166667     3
## [503]  {Cafeteria,                                                                   
##         Fast_Food,                                                                   
##         Hot_Dogs}         => {Burgers}          0.06122449  1.0000000  8.166667     3
## [504]  {Burgers,                                                                     
##         Cafeteria,                                                                   
##         Hot_Dogs}         => {Fast_Food}        0.06122449  0.7500000  7.350000     3
## [505]  {Burgers,                                                                     
##         Fast_Food,                                                                   
##         Hot_Dogs}         => {Cafe-Coffee_Shop} 0.06122449  1.0000000  6.125000     3
## [506]  {Burgers,                                                                     
##         Cafe-Coffee_Shop,                                                            
##         Fast_Food}        => {Hot_Dogs}         0.06122449  1.0000000  8.166667     3
## [507]  {Cafe-Coffee_Shop,                                                            
##         Fast_Food,                                                                   
##         Hot_Dogs}         => {Burgers}          0.06122449  1.0000000  8.166667     3
## [508]  {Burgers,                                                                     
##         Cafe-Coffee_Shop,                                                            
##         Hot_Dogs}         => {Fast_Food}        0.06122449  0.7500000  7.350000     3
## [509]  {American,                                                                    
##         Burgers,                                                                     
##         Fast_Food}        => {Cafeteria}        0.06122449  1.0000000  5.444444     3
## [510]  {Burgers,                                                                     
##         Cafeteria,                                                                   
##         Fast_Food}        => {American}         0.06122449  1.0000000  4.454545     3
## [511]  {American,                                                                    
##         Cafeteria,                                                                   
##         Fast_Food}        => {Burgers}          0.06122449  1.0000000  8.166667     3
## [512]  {American,                                                                    
##         Burgers,                                                                     
##         Cafeteria}        => {Fast_Food}        0.06122449  1.0000000  9.800000     3
## [513]  {American,                                                                    
##         Burgers,                                                                     
##         Fast_Food}        => {Cafe-Coffee_Shop} 0.06122449  1.0000000  6.125000     3
## [514]  {Burgers,                                                                     
##         Cafe-Coffee_Shop,                                                            
##         Fast_Food}        => {American}         0.06122449  1.0000000  4.454545     3
## [515]  {American,                                                                    
##         Cafe-Coffee_Shop,                                                            
##         Fast_Food}        => {Burgers}          0.06122449  1.0000000  8.166667     3
## [516]  {American,                                                                    
##         Burgers,                                                                     
##         Cafe-Coffee_Shop} => {Fast_Food}        0.06122449  1.0000000  9.800000     3
## [517]  {Burgers,                                                                     
##         Cafeteria,                                                                   
##         Fast_Food}        => {Cafe-Coffee_Shop} 0.06122449  1.0000000  6.125000     3
## [518]  {Burgers,                                                                     
##         Cafe-Coffee_Shop,                                                            
##         Fast_Food}        => {Cafeteria}        0.06122449  1.0000000  5.444444     3
## [519]  {Cafe-Coffee_Shop,                                                            
##         Cafeteria,                                                                   
##         Fast_Food}        => {Burgers}          0.06122449  0.7500000  6.125000     3
## [520]  {Burgers,                                                                     
##         Cafe-Coffee_Shop,                                                            
##         Cafeteria}        => {Fast_Food}        0.06122449  0.7500000  7.350000     3
## [521]  {American,                                                                    
##         Fast_Food,                                                                   
##         Hot_Dogs}         => {Cafeteria}        0.06122449  1.0000000  5.444444     3
## [522]  {Cafeteria,                                                                   
##         Fast_Food,                                                                   
##         Hot_Dogs}         => {American}         0.06122449  1.0000000  4.454545     3
## [523]  {American,                                                                    
##         Cafeteria,                                                                   
##         Fast_Food}        => {Hot_Dogs}         0.06122449  1.0000000  8.166667     3
## [524]  {American,                                                                    
##         Cafeteria,                                                                   
##         Hot_Dogs}         => {Fast_Food}        0.06122449  0.7500000  7.350000     3
## [525]  {American,                                                                    
##         Fast_Food,                                                                   
##         Hot_Dogs}         => {Cafe-Coffee_Shop} 0.06122449  1.0000000  6.125000     3
## [526]  {Cafe-Coffee_Shop,                                                            
##         Fast_Food,                                                                   
##         Hot_Dogs}         => {American}         0.06122449  1.0000000  4.454545     3
## [527]  {American,                                                                    
##         Cafe-Coffee_Shop,                                                            
##         Fast_Food}        => {Hot_Dogs}         0.06122449  1.0000000  8.166667     3
## [528]  {American,                                                                    
##         Cafe-Coffee_Shop,                                                            
##         Hot_Dogs}         => {Fast_Food}        0.06122449  0.7500000  7.350000     3
## [529]  {Cafeteria,                                                                   
##         Fast_Food,                                                                   
##         Hot_Dogs}         => {Cafe-Coffee_Shop} 0.06122449  1.0000000  6.125000     3
## [530]  {Cafe-Coffee_Shop,                                                            
##         Fast_Food,                                                                   
##         Hot_Dogs}         => {Cafeteria}        0.06122449  1.0000000  5.444444     3
## [531]  {Cafe-Coffee_Shop,                                                            
##         Cafeteria,                                                                   
##         Fast_Food}        => {Hot_Dogs}         0.06122449  0.7500000  6.125000     3
## [532]  {Cafe-Coffee_Shop,                                                            
##         Cafeteria,                                                                   
##         Hot_Dogs}         => {Fast_Food}        0.06122449  0.6000000  5.880000     3
## [533]  {American,                                                                    
##         Cafeteria,                                                                   
##         Fast_Food}        => {Cafe-Coffee_Shop} 0.06122449  1.0000000  6.125000     3
## [534]  {American,                                                                    
##         Cafe-Coffee_Shop,                                                            
##         Fast_Food}        => {Cafeteria}        0.06122449  1.0000000  5.444444     3
## [535]  {Cafe-Coffee_Shop,                                                            
##         Cafeteria,                                                                   
##         Fast_Food}        => {American}         0.06122449  0.7500000  3.340909     3
## [536]  {American,                                                                    
##         Cafe-Coffee_Shop,                                                            
##         Cafeteria}        => {Fast_Food}        0.06122449  0.7500000  7.350000     3
## [537]  {Chinese,                                                                     
##         Family,                                                                      
##         Latin_American}   => {Burgers}          0.06122449  1.0000000  8.166667     3
## [538]  {Burgers,                                                                     
##         Chinese,                                                                     
##         Family}           => {Latin_American}   0.06122449  1.0000000  8.166667     3
## [539]  {Burgers,                                                                     
##         Chinese,                                                                     
##         Latin_American}   => {Family}           0.06122449  1.0000000  6.125000     3
## [540]  {Burgers,                                                                     
##         Family,                                                                      
##         Latin_American}   => {Chinese}          0.06122449  1.0000000  8.166667     3
## [541]  {Chinese,                                                                     
##         Family,                                                                      
##         Latin_American}   => {Hot_Dogs}         0.06122449  1.0000000  8.166667     3
## [542]  {Chinese,                                                                     
##         Family,                                                                      
##         Hot_Dogs}         => {Latin_American}   0.06122449  1.0000000  8.166667     3
## [543]  {Chinese,                                                                     
##         Hot_Dogs,                                                                    
##         Latin_American}   => {Family}           0.06122449  1.0000000  6.125000     3
## [544]  {Family,                                                                      
##         Hot_Dogs,                                                                    
##         Latin_American}   => {Chinese}          0.06122449  1.0000000  8.166667     3
## [545]  {Chinese,                                                                     
##         Family,                                                                      
##         Latin_American}   => {Cafeteria}        0.06122449  1.0000000  5.444444     3
## [546]  {Cafeteria,                                                                   
##         Chinese,                                                                     
##         Family}           => {Latin_American}   0.06122449  1.0000000  8.166667     3
## [547]  {Cafeteria,                                                                   
##         Chinese,                                                                     
##         Latin_American}   => {Family}           0.06122449  1.0000000  6.125000     3
## [548]  {Cafeteria,                                                                   
##         Family,                                                                      
##         Latin_American}   => {Chinese}          0.06122449  1.0000000  8.166667     3
## [549]  {Chinese,                                                                     
##         Family,                                                                      
##         Latin_American}   => {Cafe-Coffee_Shop} 0.06122449  1.0000000  6.125000     3
## [550]  {Cafe-Coffee_Shop,                                                            
##         Chinese,                                                                     
##         Family}           => {Latin_American}   0.06122449  1.0000000  8.166667     3
## [551]  {Cafe-Coffee_Shop,                                                            
##         Chinese,                                                                     
##         Latin_American}   => {Family}           0.06122449  1.0000000  6.125000     3
## [552]  {Cafe-Coffee_Shop,                                                            
##         Family,                                                                      
##         Latin_American}   => {Chinese}          0.06122449  1.0000000  8.166667     3
## [553]  {Burgers,                                                                     
##         Chinese,                                                                     
##         Family}           => {Hot_Dogs}         0.06122449  1.0000000  8.166667     3
## [554]  {Chinese,                                                                     
##         Family,                                                                      
##         Hot_Dogs}         => {Burgers}          0.06122449  1.0000000  8.166667     3
## [555]  {Burgers,                                                                     
##         Chinese,                                                                     
##         Hot_Dogs}         => {Family}           0.06122449  1.0000000  6.125000     3
## [556]  {Burgers,                                                                     
##         Family,                                                                      
##         Hot_Dogs}         => {Chinese}          0.06122449  1.0000000  8.166667     3
## [557]  {Burgers,                                                                     
##         Chinese,                                                                     
##         Family}           => {Cafeteria}        0.06122449  1.0000000  5.444444     3
## [558]  {Cafeteria,                                                                   
##         Chinese,                                                                     
##         Family}           => {Burgers}          0.06122449  1.0000000  8.166667     3
## [559]  {Burgers,                                                                     
##         Cafeteria,                                                                   
##         Chinese}          => {Family}           0.06122449  1.0000000  6.125000     3
## [560]  {Burgers,                                                                     
##         Cafeteria,                                                                   
##         Family}           => {Chinese}          0.06122449  1.0000000  8.166667     3
## [561]  {Burgers,                                                                     
##         Chinese,                                                                     
##         Family}           => {Cafe-Coffee_Shop} 0.06122449  1.0000000  6.125000     3
## [562]  {Cafe-Coffee_Shop,                                                            
##         Chinese,                                                                     
##         Family}           => {Burgers}          0.06122449  1.0000000  8.166667     3
## [563]  {Burgers,                                                                     
##         Cafe-Coffee_Shop,                                                            
##         Chinese}          => {Family}           0.06122449  1.0000000  6.125000     3
## [564]  {Burgers,                                                                     
##         Cafe-Coffee_Shop,                                                            
##         Family}           => {Chinese}          0.06122449  1.0000000  8.166667     3
## [565]  {Chinese,                                                                     
##         Family,                                                                      
##         Hot_Dogs}         => {Cafeteria}        0.06122449  1.0000000  5.444444     3
## [566]  {Cafeteria,                                                                   
##         Chinese,                                                                     
##         Family}           => {Hot_Dogs}         0.06122449  1.0000000  8.166667     3
## [567]  {Cafeteria,                                                                   
##         Chinese,                                                                     
##         Hot_Dogs}         => {Family}           0.06122449  1.0000000  6.125000     3
## [568]  {Cafeteria,                                                                   
##         Family,                                                                      
##         Hot_Dogs}         => {Chinese}          0.06122449  1.0000000  8.166667     3
## [569]  {Chinese,                                                                     
##         Family,                                                                      
##         Hot_Dogs}         => {Cafe-Coffee_Shop} 0.06122449  1.0000000  6.125000     3
## [570]  {Cafe-Coffee_Shop,                                                            
##         Chinese,                                                                     
##         Family}           => {Hot_Dogs}         0.06122449  1.0000000  8.166667     3
## [571]  {Cafe-Coffee_Shop,                                                            
##         Chinese,                                                                     
##         Hot_Dogs}         => {Family}           0.06122449  1.0000000  6.125000     3
## [572]  {Cafe-Coffee_Shop,                                                            
##         Family,                                                                      
##         Hot_Dogs}         => {Chinese}          0.06122449  1.0000000  8.166667     3
## [573]  {Cafeteria,                                                                   
##         Chinese,                                                                     
##         Family}           => {Cafe-Coffee_Shop} 0.06122449  1.0000000  6.125000     3
## [574]  {Cafe-Coffee_Shop,                                                            
##         Chinese,                                                                     
##         Family}           => {Cafeteria}        0.06122449  1.0000000  5.444444     3
## [575]  {Cafe-Coffee_Shop,                                                            
##         Cafeteria,                                                                   
##         Chinese}          => {Family}           0.06122449  1.0000000  6.125000     3
## [576]  {Cafe-Coffee_Shop,                                                            
##         Cafeteria,                                                                   
##         Family}           => {Chinese}          0.06122449  0.7500000  6.125000     3
## [577]  {Burgers,                                                                     
##         Chinese,                                                                     
##         Latin_American}   => {Hot_Dogs}         0.06122449  1.0000000  8.166667     3
## [578]  {Chinese,                                                                     
##         Hot_Dogs,                                                                    
##         Latin_American}   => {Burgers}          0.06122449  1.0000000  8.166667     3
## [579]  {Burgers,                                                                     
##         Chinese,                                                                     
##         Hot_Dogs}         => {Latin_American}   0.06122449  1.0000000  8.166667     3
## [580]  {Burgers,                                                                     
##         Hot_Dogs,                                                                    
##         Latin_American}   => {Chinese}          0.06122449  1.0000000  8.166667     3
## [581]  {Burgers,                                                                     
##         Chinese,                                                                     
##         Latin_American}   => {Cafeteria}        0.06122449  1.0000000  5.444444     3
## [582]  {Cafeteria,                                                                   
##         Chinese,                                                                     
##         Latin_American}   => {Burgers}          0.06122449  1.0000000  8.166667     3
## [583]  {Burgers,                                                                     
##         Cafeteria,                                                                   
##         Chinese}          => {Latin_American}   0.06122449  1.0000000  8.166667     3
## [584]  {Burgers,                                                                     
##         Cafeteria,                                                                   
##         Latin_American}   => {Chinese}          0.06122449  1.0000000  8.166667     3
## [585]  {Burgers,                                                                     
##         Chinese,                                                                     
##         Latin_American}   => {Cafe-Coffee_Shop} 0.06122449  1.0000000  6.125000     3
## [586]  {Cafe-Coffee_Shop,                                                            
##         Chinese,                                                                     
##         Latin_American}   => {Burgers}          0.06122449  1.0000000  8.166667     3
## [587]  {Burgers,                                                                     
##         Cafe-Coffee_Shop,                                                            
##         Chinese}          => {Latin_American}   0.06122449  1.0000000  8.166667     3
## [588]  {Burgers,                                                                     
##         Cafe-Coffee_Shop,                                                            
##         Latin_American}   => {Chinese}          0.06122449  1.0000000  8.166667     3
## [589]  {Chinese,                                                                     
##         Hot_Dogs,                                                                    
##         Latin_American}   => {Cafeteria}        0.06122449  1.0000000  5.444444     3
## [590]  {Cafeteria,                                                                   
##         Chinese,                                                                     
##         Latin_American}   => {Hot_Dogs}         0.06122449  1.0000000  8.166667     3
## [591]  {Cafeteria,                                                                   
##         Chinese,                                                                     
##         Hot_Dogs}         => {Latin_American}   0.06122449  1.0000000  8.166667     3
## [592]  {Cafeteria,                                                                   
##         Hot_Dogs,                                                                    
##         Latin_American}   => {Chinese}          0.06122449  0.7500000  6.125000     3
## [593]  {Chinese,                                                                     
##         Hot_Dogs,                                                                    
##         Latin_American}   => {Cafe-Coffee_Shop} 0.06122449  1.0000000  6.125000     3
## [594]  {Cafe-Coffee_Shop,                                                            
##         Chinese,                                                                     
##         Latin_American}   => {Hot_Dogs}         0.06122449  1.0000000  8.166667     3
## [595]  {Cafe-Coffee_Shop,                                                            
##         Chinese,                                                                     
##         Hot_Dogs}         => {Latin_American}   0.06122449  1.0000000  8.166667     3
## [596]  {Cafe-Coffee_Shop,                                                            
##         Hot_Dogs,                                                                    
##         Latin_American}   => {Chinese}          0.06122449  0.7500000  6.125000     3
## [597]  {Cafeteria,                                                                   
##         Chinese,                                                                     
##         Latin_American}   => {Cafe-Coffee_Shop} 0.06122449  1.0000000  6.125000     3
## [598]  {Cafe-Coffee_Shop,                                                            
##         Chinese,                                                                     
##         Latin_American}   => {Cafeteria}        0.06122449  1.0000000  5.444444     3
## [599]  {Cafe-Coffee_Shop,                                                            
##         Cafeteria,                                                                   
##         Chinese}          => {Latin_American}   0.06122449  1.0000000  8.166667     3
## [600]  {Cafe-Coffee_Shop,                                                            
##         Cafeteria,                                                                   
##         Latin_American}   => {Chinese}          0.06122449  0.7500000  6.125000     3
## [601]  {Burgers,                                                                     
##         Chinese,                                                                     
##         Hot_Dogs}         => {Cafeteria}        0.06122449  1.0000000  5.444444     3
## [602]  {Burgers,                                                                     
##         Cafeteria,                                                                   
##         Chinese}          => {Hot_Dogs}         0.06122449  1.0000000  8.166667     3
## [603]  {Cafeteria,                                                                   
##         Chinese,                                                                     
##         Hot_Dogs}         => {Burgers}          0.06122449  1.0000000  8.166667     3
## [604]  {Burgers,                                                                     
##         Cafeteria,                                                                   
##         Hot_Dogs}         => {Chinese}          0.06122449  0.7500000  6.125000     3
## [605]  {Burgers,                                                                     
##         Chinese,                                                                     
##         Hot_Dogs}         => {Cafe-Coffee_Shop} 0.06122449  1.0000000  6.125000     3
## [606]  {Burgers,                                                                     
##         Cafe-Coffee_Shop,                                                            
##         Chinese}          => {Hot_Dogs}         0.06122449  1.0000000  8.166667     3
## [607]  {Cafe-Coffee_Shop,                                                            
##         Chinese,                                                                     
##         Hot_Dogs}         => {Burgers}          0.06122449  1.0000000  8.166667     3
## [608]  {Burgers,                                                                     
##         Cafe-Coffee_Shop,                                                            
##         Hot_Dogs}         => {Chinese}          0.06122449  0.7500000  6.125000     3
## [609]  {Burgers,                                                                     
##         Cafeteria,                                                                   
##         Chinese}          => {Cafe-Coffee_Shop} 0.06122449  1.0000000  6.125000     3
## [610]  {Burgers,                                                                     
##         Cafe-Coffee_Shop,                                                            
##         Chinese}          => {Cafeteria}        0.06122449  1.0000000  5.444444     3
## [611]  {Cafe-Coffee_Shop,                                                            
##         Cafeteria,                                                                   
##         Chinese}          => {Burgers}          0.06122449  1.0000000  8.166667     3
## [612]  {Burgers,                                                                     
##         Cafe-Coffee_Shop,                                                            
##         Cafeteria}        => {Chinese}          0.06122449  0.7500000  6.125000     3
## [613]  {Cafeteria,                                                                   
##         Chinese,                                                                     
##         Hot_Dogs}         => {Cafe-Coffee_Shop} 0.06122449  1.0000000  6.125000     3
## [614]  {Cafe-Coffee_Shop,                                                            
##         Chinese,                                                                     
##         Hot_Dogs}         => {Cafeteria}        0.06122449  1.0000000  5.444444     3
## [615]  {Cafe-Coffee_Shop,                                                            
##         Cafeteria,                                                                   
##         Chinese}          => {Hot_Dogs}         0.06122449  1.0000000  8.166667     3
## [616]  {Cafe-Coffee_Shop,                                                            
##         Cafeteria,                                                                   
##         Hot_Dogs}         => {Chinese}          0.06122449  0.6000000  4.900000     3
## [617]  {Hot_Dogs,                                                                    
##         Italian,                                                                     
##         Latin_American}   => {Cafeteria}        0.06122449  1.0000000  5.444444     3
## [618]  {Cafeteria,                                                                   
##         Italian,                                                                     
##         Latin_American}   => {Hot_Dogs}         0.06122449  1.0000000  8.166667     3
## [619]  {Cafeteria,                                                                   
##         Hot_Dogs,                                                                    
##         Italian}          => {Latin_American}   0.06122449  0.7500000  6.125000     3
## [620]  {Cafeteria,                                                                   
##         Hot_Dogs,                                                                    
##         Latin_American}   => {Italian}          0.06122449  0.7500000  5.250000     3
## [621]  {Hot_Dogs,                                                                    
##         Italian,                                                                     
##         Latin_American}   => {Cafe-Coffee_Shop} 0.06122449  1.0000000  6.125000     3
## [622]  {Cafe-Coffee_Shop,                                                            
##         Italian,                                                                     
##         Latin_American}   => {Hot_Dogs}         0.06122449  1.0000000  8.166667     3
## [623]  {Cafe-Coffee_Shop,                                                            
##         Hot_Dogs,                                                                    
##         Italian}          => {Latin_American}   0.06122449  0.7500000  6.125000     3
## [624]  {Cafe-Coffee_Shop,                                                            
##         Hot_Dogs,                                                                    
##         Latin_American}   => {Italian}          0.06122449  0.7500000  5.250000     3
## [625]  {Cafeteria,                                                                   
##         Italian,                                                                     
##         Latin_American}   => {Cafe-Coffee_Shop} 0.06122449  1.0000000  6.125000     3
## [626]  {Cafe-Coffee_Shop,                                                            
##         Italian,                                                                     
##         Latin_American}   => {Cafeteria}        0.06122449  1.0000000  5.444444     3
## [627]  {Cafe-Coffee_Shop,                                                            
##         Cafeteria,                                                                   
##         Italian}          => {Latin_American}   0.06122449  0.7500000  6.125000     3
## [628]  {Cafe-Coffee_Shop,                                                            
##         Cafeteria,                                                                   
##         Latin_American}   => {Italian}          0.06122449  0.7500000  5.250000     3
## [629]  {Burgers,                                                                     
##         Hot_Dogs,                                                                    
##         Italian}          => {Cafeteria}        0.06122449  1.0000000  5.444444     3
## [630]  {Burgers,                                                                     
##         Cafeteria,                                                                   
##         Italian}          => {Hot_Dogs}         0.06122449  1.0000000  8.166667     3
## [631]  {Cafeteria,                                                                   
##         Hot_Dogs,                                                                    
##         Italian}          => {Burgers}          0.06122449  0.7500000  6.125000     3
## [632]  {Burgers,                                                                     
##         Cafeteria,                                                                   
##         Hot_Dogs}         => {Italian}          0.06122449  0.7500000  5.250000     3
## [633]  {Burgers,                                                                     
##         Hot_Dogs,                                                                    
##         Italian}          => {Cafe-Coffee_Shop} 0.06122449  1.0000000  6.125000     3
## [634]  {Burgers,                                                                     
##         Cafe-Coffee_Shop,                                                            
##         Italian}          => {Hot_Dogs}         0.06122449  1.0000000  8.166667     3
## [635]  {Cafe-Coffee_Shop,                                                            
##         Hot_Dogs,                                                                    
##         Italian}          => {Burgers}          0.06122449  0.7500000  6.125000     3
## [636]  {Burgers,                                                                     
##         Cafe-Coffee_Shop,                                                            
##         Hot_Dogs}         => {Italian}          0.06122449  0.7500000  5.250000     3
## [637]  {Burgers,                                                                     
##         Cafeteria,                                                                   
##         Italian}          => {Cafe-Coffee_Shop} 0.06122449  1.0000000  6.125000     3
## [638]  {Burgers,                                                                     
##         Cafe-Coffee_Shop,                                                            
##         Italian}          => {Cafeteria}        0.06122449  1.0000000  5.444444     3
## [639]  {Cafe-Coffee_Shop,                                                            
##         Cafeteria,                                                                   
##         Italian}          => {Burgers}          0.06122449  0.7500000  6.125000     3
## [640]  {Burgers,                                                                     
##         Cafe-Coffee_Shop,                                                            
##         Cafeteria}        => {Italian}          0.06122449  0.7500000  5.250000     3
## [641]  {American,                                                                    
##         Hot_Dogs,                                                                    
##         Italian}          => {Cafeteria}        0.06122449  1.0000000  5.444444     3
## [642]  {Cafeteria,                                                                   
##         Hot_Dogs,                                                                    
##         Italian}          => {American}         0.06122449  0.7500000  3.340909     3
## [643]  {American,                                                                    
##         Cafeteria,                                                                   
##         Italian}          => {Hot_Dogs}         0.06122449  1.0000000  8.166667     3
## [644]  {American,                                                                    
##         Cafeteria,                                                                   
##         Hot_Dogs}         => {Italian}          0.06122449  0.7500000  5.250000     3
## [645]  {American,                                                                    
##         Hot_Dogs,                                                                    
##         Italian}          => {Cafe-Coffee_Shop} 0.06122449  1.0000000  6.125000     3
## [646]  {Cafe-Coffee_Shop,                                                            
##         Hot_Dogs,                                                                    
##         Italian}          => {American}         0.06122449  0.7500000  3.340909     3
## [647]  {American,                                                                    
##         Cafe-Coffee_Shop,                                                            
##         Italian}          => {Hot_Dogs}         0.06122449  1.0000000  8.166667     3
## [648]  {American,                                                                    
##         Cafe-Coffee_Shop,                                                            
##         Hot_Dogs}         => {Italian}          0.06122449  0.7500000  5.250000     3
## [649]  {Cafeteria,                                                                   
##         Hot_Dogs,                                                                    
##         Italian}          => {Cafe-Coffee_Shop} 0.08163265  1.0000000  6.125000     4
## [650]  {Cafe-Coffee_Shop,                                                            
##         Hot_Dogs,                                                                    
##         Italian}          => {Cafeteria}        0.08163265  1.0000000  5.444444     4
## [651]  {Cafe-Coffee_Shop,                                                            
##         Cafeteria,                                                                   
##         Italian}          => {Hot_Dogs}         0.08163265  1.0000000  8.166667     4
## [652]  {Cafe-Coffee_Shop,                                                            
##         Cafeteria,                                                                   
##         Hot_Dogs}         => {Italian}          0.08163265  0.8000000  5.600000     4
## [653]  {American,                                                                    
##         Cafeteria,                                                                   
##         Italian}          => {Cafe-Coffee_Shop} 0.06122449  1.0000000  6.125000     3
## [654]  {American,                                                                    
##         Cafe-Coffee_Shop,                                                            
##         Italian}          => {Cafeteria}        0.06122449  1.0000000  5.444444     3
## [655]  {Cafe-Coffee_Shop,                                                            
##         Cafeteria,                                                                   
##         Italian}          => {American}         0.06122449  0.7500000  3.340909     3
## [656]  {American,                                                                    
##         Cafe-Coffee_Shop,                                                            
##         Cafeteria}        => {Italian}          0.06122449  0.7500000  5.250000     3
## [657]  {Burgers,                                                                     
##         Hot_Dogs,                                                                    
##         Pizzeria}         => {American}         0.06122449  1.0000000  4.454545     3
## [658]  {American,                                                                    
##         Burgers,                                                                     
##         Pizzeria}         => {Hot_Dogs}         0.06122449  1.0000000  8.166667     3
## [659]  {American,                                                                    
##         Hot_Dogs,                                                                    
##         Pizzeria}         => {Burgers}          0.06122449  1.0000000  8.166667     3
## [660]  {American,                                                                    
##         Burgers,                                                                     
##         Hot_Dogs}         => {Pizzeria}         0.06122449  1.0000000  5.444444     3
## [661]  {Burgers,                                                                     
##         Hot_Dogs,                                                                    
##         Pizzeria}         => {Cafeteria}        0.06122449  1.0000000  5.444444     3
## [662]  {Burgers,                                                                     
##         Cafeteria,                                                                   
##         Pizzeria}         => {Hot_Dogs}         0.06122449  1.0000000  8.166667     3
## [663]  {Cafeteria,                                                                   
##         Hot_Dogs,                                                                    
##         Pizzeria}         => {Burgers}          0.06122449  0.7500000  6.125000     3
## [664]  {Burgers,                                                                     
##         Cafeteria,                                                                   
##         Hot_Dogs}         => {Pizzeria}         0.06122449  0.7500000  4.083333     3
## [665]  {Burgers,                                                                     
##         Hot_Dogs,                                                                    
##         Pizzeria}         => {Cafe-Coffee_Shop} 0.06122449  1.0000000  6.125000     3
## [666]  {Burgers,                                                                     
##         Cafe-Coffee_Shop,                                                            
##         Pizzeria}         => {Hot_Dogs}         0.06122449  1.0000000  8.166667     3
## [667]  {Cafe-Coffee_Shop,                                                            
##         Hot_Dogs,                                                                    
##         Pizzeria}         => {Burgers}          0.06122449  1.0000000  8.166667     3
## [668]  {Burgers,                                                                     
##         Cafe-Coffee_Shop,                                                            
##         Hot_Dogs}         => {Pizzeria}         0.06122449  0.7500000  4.083333     3
## [669]  {American,                                                                    
##         Burgers,                                                                     
##         Pizzeria}         => {Cafeteria}        0.06122449  1.0000000  5.444444     3
## [670]  {Burgers,                                                                     
##         Cafeteria,                                                                   
##         Pizzeria}         => {American}         0.06122449  1.0000000  4.454545     3
## [671]  {American,                                                                    
##         Cafeteria,                                                                   
##         Pizzeria}         => {Burgers}          0.06122449  1.0000000  8.166667     3
## [672]  {American,                                                                    
##         Burgers,                                                                     
##         Cafeteria}        => {Pizzeria}         0.06122449  1.0000000  5.444444     3
## [673]  {American,                                                                    
##         Burgers,                                                                     
##         Pizzeria}         => {Cafe-Coffee_Shop} 0.06122449  1.0000000  6.125000     3
## [674]  {Burgers,                                                                     
##         Cafe-Coffee_Shop,                                                            
##         Pizzeria}         => {American}         0.06122449  1.0000000  4.454545     3
## [675]  {American,                                                                    
##         Cafe-Coffee_Shop,                                                            
##         Pizzeria}         => {Burgers}          0.06122449  1.0000000  8.166667     3
## [676]  {American,                                                                    
##         Burgers,                                                                     
##         Cafe-Coffee_Shop} => {Pizzeria}         0.06122449  1.0000000  5.444444     3
## [677]  {Burgers,                                                                     
##         Cafeteria,                                                                   
##         Pizzeria}         => {Cafe-Coffee_Shop} 0.06122449  1.0000000  6.125000     3
## [678]  {Burgers,                                                                     
##         Cafe-Coffee_Shop,                                                            
##         Pizzeria}         => {Cafeteria}        0.06122449  1.0000000  5.444444     3
## [679]  {Cafe-Coffee_Shop,                                                            
##         Cafeteria,                                                                   
##         Pizzeria}         => {Burgers}          0.06122449  1.0000000  8.166667     3
## [680]  {Burgers,                                                                     
##         Cafe-Coffee_Shop,                                                            
##         Cafeteria}        => {Pizzeria}         0.06122449  0.7500000  4.083333     3
## [681]  {American,                                                                    
##         Hot_Dogs,                                                                    
##         Pizzeria}         => {Cafeteria}        0.06122449  1.0000000  5.444444     3
## [682]  {Cafeteria,                                                                   
##         Hot_Dogs,                                                                    
##         Pizzeria}         => {American}         0.06122449  0.7500000  3.340909     3
## [683]  {American,                                                                    
##         Cafeteria,                                                                   
##         Pizzeria}         => {Hot_Dogs}         0.06122449  1.0000000  8.166667     3
## [684]  {American,                                                                    
##         Cafeteria,                                                                   
##         Hot_Dogs}         => {Pizzeria}         0.06122449  0.7500000  4.083333     3
## [685]  {American,                                                                    
##         Hot_Dogs,                                                                    
##         Pizzeria}         => {Cafe-Coffee_Shop} 0.06122449  1.0000000  6.125000     3
## [686]  {Cafe-Coffee_Shop,                                                            
##         Hot_Dogs,                                                                    
##         Pizzeria}         => {American}         0.06122449  1.0000000  4.454545     3
## [687]  {American,                                                                    
##         Cafe-Coffee_Shop,                                                            
##         Pizzeria}         => {Hot_Dogs}         0.06122449  1.0000000  8.166667     3
## [688]  {American,                                                                    
##         Cafe-Coffee_Shop,                                                            
##         Hot_Dogs}         => {Pizzeria}         0.06122449  0.7500000  4.083333     3
## [689]  {Cafeteria,                                                                   
##         Hot_Dogs,                                                                    
##         Pizzeria}         => {Cafe-Coffee_Shop} 0.06122449  0.7500000  4.593750     3
## [690]  {Cafe-Coffee_Shop,                                                            
##         Hot_Dogs,                                                                    
##         Pizzeria}         => {Cafeteria}        0.06122449  1.0000000  5.444444     3
## [691]  {Cafe-Coffee_Shop,                                                            
##         Cafeteria,                                                                   
##         Pizzeria}         => {Hot_Dogs}         0.06122449  1.0000000  8.166667     3
## [692]  {Cafe-Coffee_Shop,                                                            
##         Cafeteria,                                                                   
##         Hot_Dogs}         => {Pizzeria}         0.06122449  0.6000000  3.266667     3
## [693]  {American,                                                                    
##         Cafeteria,                                                                   
##         Pizzeria}         => {Cafe-Coffee_Shop} 0.06122449  1.0000000  6.125000     3
## [694]  {American,                                                                    
##         Cafe-Coffee_Shop,                                                            
##         Pizzeria}         => {Cafeteria}        0.06122449  1.0000000  5.444444     3
## [695]  {Cafe-Coffee_Shop,                                                            
##         Cafeteria,                                                                   
##         Pizzeria}         => {American}         0.06122449  1.0000000  4.454545     3
## [696]  {American,                                                                    
##         Cafe-Coffee_Shop,                                                            
##         Cafeteria}        => {Pizzeria}         0.06122449  0.7500000  4.083333     3
## [697]  {Burgers,                                                                     
##         Family,                                                                      
##         Latin_American}   => {Hot_Dogs}         0.06122449  1.0000000  8.166667     3
## [698]  {Family,                                                                      
##         Hot_Dogs,                                                                    
##         Latin_American}   => {Burgers}          0.06122449  1.0000000  8.166667     3
## [699]  {Burgers,                                                                     
##         Family,                                                                      
##         Hot_Dogs}         => {Latin_American}   0.06122449  1.0000000  8.166667     3
## [700]  {Burgers,                                                                     
##         Hot_Dogs,                                                                    
##         Latin_American}   => {Family}           0.06122449  1.0000000  6.125000     3
## [701]  {Burgers,                                                                     
##         Family,                                                                      
##         Latin_American}   => {Cafeteria}        0.06122449  1.0000000  5.444444     3
## [702]  {Cafeteria,                                                                   
##         Family,                                                                      
##         Latin_American}   => {Burgers}          0.06122449  1.0000000  8.166667     3
## [703]  {Burgers,                                                                     
##         Cafeteria,                                                                   
##         Family}           => {Latin_American}   0.06122449  1.0000000  8.166667     3
## [704]  {Burgers,                                                                     
##         Cafeteria,                                                                   
##         Latin_American}   => {Family}           0.06122449  1.0000000  6.125000     3
## [705]  {Burgers,                                                                     
##         Family,                                                                      
##         Latin_American}   => {Cafe-Coffee_Shop} 0.06122449  1.0000000  6.125000     3
## [706]  {Cafe-Coffee_Shop,                                                            
##         Family,                                                                      
##         Latin_American}   => {Burgers}          0.06122449  1.0000000  8.166667     3
## [707]  {Burgers,                                                                     
##         Cafe-Coffee_Shop,                                                            
##         Family}           => {Latin_American}   0.06122449  1.0000000  8.166667     3
## [708]  {Burgers,                                                                     
##         Cafe-Coffee_Shop,                                                            
##         Latin_American}   => {Family}           0.06122449  1.0000000  6.125000     3
## [709]  {Family,                                                                      
##         Hot_Dogs,                                                                    
##         Latin_American}   => {Cafeteria}        0.06122449  1.0000000  5.444444     3
## [710]  {Cafeteria,                                                                   
##         Family,                                                                      
##         Latin_American}   => {Hot_Dogs}         0.06122449  1.0000000  8.166667     3
## [711]  {Cafeteria,                                                                   
##         Family,                                                                      
##         Hot_Dogs}         => {Latin_American}   0.06122449  1.0000000  8.166667     3
## [712]  {Cafeteria,                                                                   
##         Hot_Dogs,                                                                    
##         Latin_American}   => {Family}           0.06122449  0.7500000  4.593750     3
## [713]  {Family,                                                                      
##         Hot_Dogs,                                                                    
##         Latin_American}   => {Cafe-Coffee_Shop} 0.06122449  1.0000000  6.125000     3
## [714]  {Cafe-Coffee_Shop,                                                            
##         Family,                                                                      
##         Latin_American}   => {Hot_Dogs}         0.06122449  1.0000000  8.166667     3
## [715]  {Cafe-Coffee_Shop,                                                            
##         Family,                                                                      
##         Hot_Dogs}         => {Latin_American}   0.06122449  1.0000000  8.166667     3
## [716]  {Cafe-Coffee_Shop,                                                            
##         Hot_Dogs,                                                                    
##         Latin_American}   => {Family}           0.06122449  0.7500000  4.593750     3
## [717]  {Cafeteria,                                                                   
##         Family,                                                                      
##         Latin_American}   => {Cafe-Coffee_Shop} 0.06122449  1.0000000  6.125000     3
## [718]  {Cafe-Coffee_Shop,                                                            
##         Family,                                                                      
##         Latin_American}   => {Cafeteria}        0.06122449  1.0000000  5.444444     3
## [719]  {Cafe-Coffee_Shop,                                                            
##         Cafeteria,                                                                   
##         Family}           => {Latin_American}   0.06122449  0.7500000  6.125000     3
## [720]  {Cafe-Coffee_Shop,                                                            
##         Cafeteria,                                                                   
##         Latin_American}   => {Family}           0.06122449  0.7500000  4.593750     3
## [721]  {Burgers,                                                                     
##         Family,                                                                      
##         Hot_Dogs}         => {Cafeteria}        0.06122449  1.0000000  5.444444     3
## [722]  {Burgers,                                                                     
##         Cafeteria,                                                                   
##         Family}           => {Hot_Dogs}         0.06122449  1.0000000  8.166667     3
## [723]  {Cafeteria,                                                                   
##         Family,                                                                      
##         Hot_Dogs}         => {Burgers}          0.06122449  1.0000000  8.166667     3
## [724]  {Burgers,                                                                     
##         Cafeteria,                                                                   
##         Hot_Dogs}         => {Family}           0.06122449  0.7500000  4.593750     3
## [725]  {Burgers,                                                                     
##         Family,                                                                      
##         Hot_Dogs}         => {Cafe-Coffee_Shop} 0.06122449  1.0000000  6.125000     3
## [726]  {Burgers,                                                                     
##         Cafe-Coffee_Shop,                                                            
##         Family}           => {Hot_Dogs}         0.06122449  1.0000000  8.166667     3
## [727]  {Cafe-Coffee_Shop,                                                            
##         Family,                                                                      
##         Hot_Dogs}         => {Burgers}          0.06122449  1.0000000  8.166667     3
## [728]  {Burgers,                                                                     
##         Cafe-Coffee_Shop,                                                            
##         Hot_Dogs}         => {Family}           0.06122449  0.7500000  4.593750     3
## [729]  {Burgers,                                                                     
##         Cafeteria,                                                                   
##         Family}           => {Cafe-Coffee_Shop} 0.06122449  1.0000000  6.125000     3
## [730]  {Burgers,                                                                     
##         Cafe-Coffee_Shop,                                                            
##         Family}           => {Cafeteria}        0.06122449  1.0000000  5.444444     3
## [731]  {Cafe-Coffee_Shop,                                                            
##         Cafeteria,                                                                   
##         Family}           => {Burgers}          0.06122449  0.7500000  6.125000     3
## [732]  {Burgers,                                                                     
##         Cafe-Coffee_Shop,                                                            
##         Cafeteria}        => {Family}           0.06122449  0.7500000  4.593750     3
## [733]  {Cafeteria,                                                                   
##         Family,                                                                      
##         Hot_Dogs}         => {Cafe-Coffee_Shop} 0.06122449  1.0000000  6.125000     3
## [734]  {Cafe-Coffee_Shop,                                                            
##         Family,                                                                      
##         Hot_Dogs}         => {Cafeteria}        0.06122449  1.0000000  5.444444     3
## [735]  {Cafe-Coffee_Shop,                                                            
##         Cafeteria,                                                                   
##         Family}           => {Hot_Dogs}         0.06122449  0.7500000  6.125000     3
## [736]  {Cafe-Coffee_Shop,                                                            
##         Cafeteria,                                                                   
##         Hot_Dogs}         => {Family}           0.06122449  0.6000000  3.675000     3
## [737]  {Burgers,                                                                     
##         Hot_Dogs,                                                                    
##         Latin_American}   => {Cafeteria}        0.06122449  1.0000000  5.444444     3
## [738]  {Burgers,                                                                     
##         Cafeteria,                                                                   
##         Latin_American}   => {Hot_Dogs}         0.06122449  1.0000000  8.166667     3
## [739]  {Cafeteria,                                                                   
##         Hot_Dogs,                                                                    
##         Latin_American}   => {Burgers}          0.06122449  0.7500000  6.125000     3
## [740]  {Burgers,                                                                     
##         Cafeteria,                                                                   
##         Hot_Dogs}         => {Latin_American}   0.06122449  0.7500000  6.125000     3
## [741]  {Burgers,                                                                     
##         Hot_Dogs,                                                                    
##         Latin_American}   => {Cafe-Coffee_Shop} 0.06122449  1.0000000  6.125000     3
## [742]  {Burgers,                                                                     
##         Cafe-Coffee_Shop,                                                            
##         Latin_American}   => {Hot_Dogs}         0.06122449  1.0000000  8.166667     3
## [743]  {Cafe-Coffee_Shop,                                                            
##         Hot_Dogs,                                                                    
##         Latin_American}   => {Burgers}          0.06122449  0.7500000  6.125000     3
## [744]  {Burgers,                                                                     
##         Cafe-Coffee_Shop,                                                            
##         Hot_Dogs}         => {Latin_American}   0.06122449  0.7500000  6.125000     3
## [745]  {Burgers,                                                                     
##         Cafeteria,                                                                   
##         Latin_American}   => {Cafe-Coffee_Shop} 0.06122449  1.0000000  6.125000     3
## [746]  {Burgers,                                                                     
##         Cafe-Coffee_Shop,                                                            
##         Latin_American}   => {Cafeteria}        0.06122449  1.0000000  5.444444     3
## [747]  {Cafe-Coffee_Shop,                                                            
##         Cafeteria,                                                                   
##         Latin_American}   => {Burgers}          0.06122449  0.7500000  6.125000     3
## [748]  {Burgers,                                                                     
##         Cafe-Coffee_Shop,                                                            
##         Cafeteria}        => {Latin_American}   0.06122449  0.7500000  6.125000     3
## [749]  {American,                                                                    
##         Hot_Dogs,                                                                    
##         Latin_American}   => {Cafeteria}        0.06122449  1.0000000  5.444444     3
## [750]  {Cafeteria,                                                                   
##         Hot_Dogs,                                                                    
##         Latin_American}   => {American}         0.06122449  0.7500000  3.340909     3
## [751]  {American,                                                                    
##         Cafeteria,                                                                   
##         Latin_American}   => {Hot_Dogs}         0.06122449  1.0000000  8.166667     3
## [752]  {American,                                                                    
##         Cafeteria,                                                                   
##         Hot_Dogs}         => {Latin_American}   0.06122449  0.7500000  6.125000     3
## [753]  {American,                                                                    
##         Hot_Dogs,                                                                    
##         Latin_American}   => {Cafe-Coffee_Shop} 0.06122449  1.0000000  6.125000     3
## [754]  {Cafe-Coffee_Shop,                                                            
##         Hot_Dogs,                                                                    
##         Latin_American}   => {American}         0.06122449  0.7500000  3.340909     3
## [755]  {American,                                                                    
##         Cafe-Coffee_Shop,                                                            
##         Latin_American}   => {Hot_Dogs}         0.06122449  1.0000000  8.166667     3
## [756]  {American,                                                                    
##         Cafe-Coffee_Shop,                                                            
##         Hot_Dogs}         => {Latin_American}   0.06122449  0.7500000  6.125000     3
## [757]  {Cafeteria,                                                                   
##         Hot_Dogs,                                                                    
##         Latin_American}   => {Cafe-Coffee_Shop} 0.08163265  1.0000000  6.125000     4
## [758]  {Cafe-Coffee_Shop,                                                            
##         Hot_Dogs,                                                                    
##         Latin_American}   => {Cafeteria}        0.08163265  1.0000000  5.444444     4
## [759]  {Cafe-Coffee_Shop,                                                            
##         Cafeteria,                                                                   
##         Latin_American}   => {Hot_Dogs}         0.08163265  1.0000000  8.166667     4
## [760]  {Cafe-Coffee_Shop,                                                            
##         Cafeteria,                                                                   
##         Hot_Dogs}         => {Latin_American}   0.08163265  0.8000000  6.533333     4
## [761]  {American,                                                                    
##         Cafeteria,                                                                   
##         Latin_American}   => {Cafe-Coffee_Shop} 0.06122449  1.0000000  6.125000     3
## [762]  {American,                                                                    
##         Cafe-Coffee_Shop,                                                            
##         Latin_American}   => {Cafeteria}        0.06122449  1.0000000  5.444444     3
## [763]  {Cafe-Coffee_Shop,                                                            
##         Cafeteria,                                                                   
##         Latin_American}   => {American}         0.06122449  0.7500000  3.340909     3
## [764]  {American,                                                                    
##         Cafe-Coffee_Shop,                                                            
##         Cafeteria}        => {Latin_American}   0.06122449  0.7500000  6.125000     3
## [765]  {American,                                                                    
##         Burgers,                                                                     
##         Hot_Dogs}         => {Cafeteria}        0.06122449  1.0000000  5.444444     3
## [766]  {Burgers,                                                                     
##         Cafeteria,                                                                   
##         Hot_Dogs}         => {American}         0.06122449  0.7500000  3.340909     3
## [767]  {American,                                                                    
##         Burgers,                                                                     
##         Cafeteria}        => {Hot_Dogs}         0.06122449  1.0000000  8.166667     3
## [768]  {American,                                                                    
##         Cafeteria,                                                                   
##         Hot_Dogs}         => {Burgers}          0.06122449  0.7500000  6.125000     3
## [769]  {American,                                                                    
##         Burgers,                                                                     
##         Hot_Dogs}         => {Cafe-Coffee_Shop} 0.06122449  1.0000000  6.125000     3
## [770]  {Burgers,                                                                     
##         Cafe-Coffee_Shop,                                                            
##         Hot_Dogs}         => {American}         0.06122449  0.7500000  3.340909     3
## [771]  {American,                                                                    
##         Burgers,                                                                     
##         Cafe-Coffee_Shop} => {Hot_Dogs}         0.06122449  1.0000000  8.166667     3
## [772]  {American,                                                                    
##         Cafe-Coffee_Shop,                                                            
##         Hot_Dogs}         => {Burgers}          0.06122449  0.7500000  6.125000     3
## [773]  {Burgers,                                                                     
##         Cafeteria,                                                                   
##         Hot_Dogs}         => {Cafe-Coffee_Shop} 0.08163265  1.0000000  6.125000     4
## [774]  {Burgers,                                                                     
##         Cafe-Coffee_Shop,                                                            
##         Hot_Dogs}         => {Cafeteria}        0.08163265  1.0000000  5.444444     4
## [775]  {Burgers,                                                                     
##         Cafe-Coffee_Shop,                                                            
##         Cafeteria}        => {Hot_Dogs}         0.08163265  1.0000000  8.166667     4
## [776]  {Cafe-Coffee_Shop,                                                            
##         Cafeteria,                                                                   
##         Hot_Dogs}         => {Burgers}          0.08163265  0.8000000  6.533333     4
## [777]  {American,                                                                    
##         Burgers,                                                                     
##         Cafeteria}        => {Cafe-Coffee_Shop} 0.06122449  1.0000000  6.125000     3
## [778]  {American,                                                                    
##         Burgers,                                                                     
##         Cafe-Coffee_Shop} => {Cafeteria}        0.06122449  1.0000000  5.444444     3
## [779]  {Burgers,                                                                     
##         Cafe-Coffee_Shop,                                                            
##         Cafeteria}        => {American}         0.06122449  0.7500000  3.340909     3
## [780]  {American,                                                                    
##         Cafe-Coffee_Shop,                                                            
##         Cafeteria}        => {Burgers}          0.06122449  0.7500000  6.125000     3
## [781]  {American,                                                                    
##         Cafeteria,                                                                   
##         Hot_Dogs}         => {Cafe-Coffee_Shop} 0.08163265  1.0000000  6.125000     4
## [782]  {American,                                                                    
##         Cafe-Coffee_Shop,                                                            
##         Hot_Dogs}         => {Cafeteria}        0.08163265  1.0000000  5.444444     4
## [783]  {Cafe-Coffee_Shop,                                                            
##         Cafeteria,                                                                   
##         Hot_Dogs}         => {American}         0.08163265  0.8000000  3.563636     4
## [784]  {American,                                                                    
##         Cafe-Coffee_Shop,                                                            
##         Cafeteria}        => {Hot_Dogs}         0.08163265  1.0000000  8.166667     4
## [785]  {American,                                                                    
##         Hot_Dogs,                                                                    
##         Italian,                                                                     
##         Juice}            => {Cafeteria}        0.06122449  1.0000000  5.444444     3
## [786]  {Cafeteria,                                                                   
##         Hot_Dogs,                                                                    
##         Italian,                                                                     
##         Juice}            => {American}         0.06122449  1.0000000  4.454545     3
## [787]  {American,                                                                    
##         Cafeteria,                                                                   
##         Italian,                                                                     
##         Juice}            => {Hot_Dogs}         0.06122449  1.0000000  8.166667     3
## [788]  {American,                                                                    
##         Cafeteria,                                                                   
##         Hot_Dogs,                                                                    
##         Juice}            => {Italian}          0.06122449  1.0000000  7.000000     3
## [789]  {American,                                                                    
##         Cafeteria,                                                                   
##         Hot_Dogs,                                                                    
##         Italian}          => {Juice}            0.06122449  1.0000000 16.333333     3
## [790]  {American,                                                                    
##         Hot_Dogs,                                                                    
##         Italian,                                                                     
##         Juice}            => {Cafe-Coffee_Shop} 0.06122449  1.0000000  6.125000     3
## [791]  {Cafe-Coffee_Shop,                                                            
##         Hot_Dogs,                                                                    
##         Italian,                                                                     
##         Juice}            => {American}         0.06122449  1.0000000  4.454545     3
## [792]  {American,                                                                    
##         Cafe-Coffee_Shop,                                                            
##         Italian,                                                                     
##         Juice}            => {Hot_Dogs}         0.06122449  1.0000000  8.166667     3
## [793]  {American,                                                                    
##         Cafe-Coffee_Shop,                                                            
##         Hot_Dogs,                                                                    
##         Juice}            => {Italian}          0.06122449  1.0000000  7.000000     3
## [794]  {American,                                                                    
##         Cafe-Coffee_Shop,                                                            
##         Hot_Dogs,                                                                    
##         Italian}          => {Juice}            0.06122449  1.0000000 16.333333     3
## [795]  {Cafeteria,                                                                   
##         Hot_Dogs,                                                                    
##         Italian,                                                                     
##         Juice}            => {Cafe-Coffee_Shop} 0.06122449  1.0000000  6.125000     3
## [796]  {Cafe-Coffee_Shop,                                                            
##         Hot_Dogs,                                                                    
##         Italian,                                                                     
##         Juice}            => {Cafeteria}        0.06122449  1.0000000  5.444444     3
## [797]  {Cafe-Coffee_Shop,                                                            
##         Cafeteria,                                                                   
##         Italian,                                                                     
##         Juice}            => {Hot_Dogs}         0.06122449  1.0000000  8.166667     3
## [798]  {Cafe-Coffee_Shop,                                                            
##         Cafeteria,                                                                   
##         Hot_Dogs,                                                                    
##         Juice}            => {Italian}          0.06122449  1.0000000  7.000000     3
## [799]  {Cafe-Coffee_Shop,                                                            
##         Cafeteria,                                                                   
##         Hot_Dogs,                                                                    
##         Italian}          => {Juice}            0.06122449  0.7500000 12.250000     3
## [800]  {American,                                                                    
##         Cafeteria,                                                                   
##         Italian,                                                                     
##         Juice}            => {Cafe-Coffee_Shop} 0.06122449  1.0000000  6.125000     3
## [801]  {American,                                                                    
##         Cafe-Coffee_Shop,                                                            
##         Italian,                                                                     
##         Juice}            => {Cafeteria}        0.06122449  1.0000000  5.444444     3
## [802]  {Cafe-Coffee_Shop,                                                            
##         Cafeteria,                                                                   
##         Italian,                                                                     
##         Juice}            => {American}         0.06122449  1.0000000  4.454545     3
## [803]  {American,                                                                    
##         Cafe-Coffee_Shop,                                                            
##         Cafeteria,                                                                   
##         Juice}            => {Italian}          0.06122449  1.0000000  7.000000     3
## [804]  {American,                                                                    
##         Cafe-Coffee_Shop,                                                            
##         Cafeteria,                                                                   
##         Italian}          => {Juice}            0.06122449  1.0000000 16.333333     3
## [805]  {American,                                                                    
##         Cafeteria,                                                                   
##         Hot_Dogs,                                                                    
##         Juice}            => {Cafe-Coffee_Shop} 0.06122449  1.0000000  6.125000     3
## [806]  {American,                                                                    
##         Cafe-Coffee_Shop,                                                            
##         Hot_Dogs,                                                                    
##         Juice}            => {Cafeteria}        0.06122449  1.0000000  5.444444     3
## [807]  {Cafe-Coffee_Shop,                                                            
##         Cafeteria,                                                                   
##         Hot_Dogs,                                                                    
##         Juice}            => {American}         0.06122449  1.0000000  4.454545     3
## [808]  {American,                                                                    
##         Cafe-Coffee_Shop,                                                            
##         Cafeteria,                                                                   
##         Juice}            => {Hot_Dogs}         0.06122449  1.0000000  8.166667     3
## [809]  {American,                                                                    
##         Cafe-Coffee_Shop,                                                            
##         Cafeteria,                                                                   
##         Hot_Dogs}         => {Juice}            0.06122449  0.7500000 12.250000     3
## [810]  {Cafeteria,                                                                   
##         Deli-Sandwiches,                                                             
##         Family,                                                                      
##         Fast_Food}        => {Cafe-Coffee_Shop} 0.06122449  1.0000000  6.125000     3
## [811]  {Cafe-Coffee_Shop,                                                            
##         Deli-Sandwiches,                                                             
##         Family,                                                                      
##         Fast_Food}        => {Cafeteria}        0.06122449  1.0000000  5.444444     3
## [812]  {Cafe-Coffee_Shop,                                                            
##         Cafeteria,                                                                   
##         Deli-Sandwiches,                                                             
##         Fast_Food}        => {Family}           0.06122449  1.0000000  6.125000     3
## [813]  {Cafe-Coffee_Shop,                                                            
##         Cafeteria,                                                                   
##         Deli-Sandwiches,                                                             
##         Family}           => {Fast_Food}        0.06122449  1.0000000  9.800000     3
## [814]  {Cafe-Coffee_Shop,                                                            
##         Cafeteria,                                                                   
##         Family,                                                                      
##         Fast_Food}        => {Deli-Sandwiches}  0.06122449  1.0000000 16.333333     3
## [815]  {Burgers,                                                                     
##         Fast_Food,                                                                   
##         Hot_Dogs,                                                                    
##         Pizzeria}         => {American}         0.06122449  1.0000000  4.454545     3
## [816]  {American,                                                                    
##         Burgers,                                                                     
##         Fast_Food,                                                                   
##         Pizzeria}         => {Hot_Dogs}         0.06122449  1.0000000  8.166667     3
## [817]  {American,                                                                    
##         Fast_Food,                                                                   
##         Hot_Dogs,                                                                    
##         Pizzeria}         => {Burgers}          0.06122449  1.0000000  8.166667     3
## [818]  {American,                                                                    
##         Burgers,                                                                     
##         Fast_Food,                                                                   
##         Hot_Dogs}         => {Pizzeria}         0.06122449  1.0000000  5.444444     3
## [819]  {American,                                                                    
##         Burgers,                                                                     
##         Hot_Dogs,                                                                    
##         Pizzeria}         => {Fast_Food}        0.06122449  1.0000000  9.800000     3
## [820]  {Burgers,                                                                     
##         Fast_Food,                                                                   
##         Hot_Dogs,                                                                    
##         Pizzeria}         => {Cafeteria}        0.06122449  1.0000000  5.444444     3
## [821]  {Burgers,                                                                     
##         Cafeteria,                                                                   
##         Fast_Food,                                                                   
##         Pizzeria}         => {Hot_Dogs}         0.06122449  1.0000000  8.166667     3
## [822]  {Cafeteria,                                                                   
##         Fast_Food,                                                                   
##         Hot_Dogs,                                                                    
##         Pizzeria}         => {Burgers}          0.06122449  1.0000000  8.166667     3
## [823]  {Burgers,                                                                     
##         Cafeteria,                                                                   
##         Fast_Food,                                                                   
##         Hot_Dogs}         => {Pizzeria}         0.06122449  1.0000000  5.444444     3
## [824]  {Burgers,                                                                     
##         Cafeteria,                                                                   
##         Hot_Dogs,                                                                    
##         Pizzeria}         => {Fast_Food}        0.06122449  1.0000000  9.800000     3
## [825]  {Burgers,                                                                     
##         Fast_Food,                                                                   
##         Hot_Dogs,                                                                    
##         Pizzeria}         => {Cafe-Coffee_Shop} 0.06122449  1.0000000  6.125000     3
## [826]  {Burgers,                                                                     
##         Cafe-Coffee_Shop,                                                            
##         Fast_Food,                                                                   
##         Pizzeria}         => {Hot_Dogs}         0.06122449  1.0000000  8.166667     3
## [827]  {Cafe-Coffee_Shop,                                                            
##         Fast_Food,                                                                   
##         Hot_Dogs,                                                                    
##         Pizzeria}         => {Burgers}          0.06122449  1.0000000  8.166667     3
## [828]  {Burgers,                                                                     
##         Cafe-Coffee_Shop,                                                            
##         Fast_Food,                                                                   
##         Hot_Dogs}         => {Pizzeria}         0.06122449  1.0000000  5.444444     3
## [829]  {Burgers,                                                                     
##         Cafe-Coffee_Shop,                                                            
##         Hot_Dogs,                                                                    
##         Pizzeria}         => {Fast_Food}        0.06122449  1.0000000  9.800000     3
## [830]  {American,                                                                    
##         Burgers,                                                                     
##         Fast_Food,                                                                   
##         Pizzeria}         => {Cafeteria}        0.06122449  1.0000000  5.444444     3
## [831]  {Burgers,                                                                     
##         Cafeteria,                                                                   
##         Fast_Food,                                                                   
##         Pizzeria}         => {American}         0.06122449  1.0000000  4.454545     3
## [832]  {American,                                                                    
##         Cafeteria,                                                                   
##         Fast_Food,                                                                   
##         Pizzeria}         => {Burgers}          0.06122449  1.0000000  8.166667     3
## [833]  {American,                                                                    
##         Burgers,                                                                     
##         Cafeteria,                                                                   
##         Fast_Food}        => {Pizzeria}         0.06122449  1.0000000  5.444444     3
## [834]  {American,                                                                    
##         Burgers,                                                                     
##         Cafeteria,                                                                   
##         Pizzeria}         => {Fast_Food}        0.06122449  1.0000000  9.800000     3
## [835]  {American,                                                                    
##         Burgers,                                                                     
##         Fast_Food,                                                                   
##         Pizzeria}         => {Cafe-Coffee_Shop} 0.06122449  1.0000000  6.125000     3
## [836]  {Burgers,                                                                     
##         Cafe-Coffee_Shop,                                                            
##         Fast_Food,                                                                   
##         Pizzeria}         => {American}         0.06122449  1.0000000  4.454545     3
## [837]  {American,                                                                    
##         Cafe-Coffee_Shop,                                                            
##         Fast_Food,                                                                   
##         Pizzeria}         => {Burgers}          0.06122449  1.0000000  8.166667     3
## [838]  {American,                                                                    
##         Burgers,                                                                     
##         Cafe-Coffee_Shop,                                                            
##         Fast_Food}        => {Pizzeria}         0.06122449  1.0000000  5.444444     3
## [839]  {American,                                                                    
##         Burgers,                                                                     
##         Cafe-Coffee_Shop,                                                            
##         Pizzeria}         => {Fast_Food}        0.06122449  1.0000000  9.800000     3
## [840]  {Burgers,                                                                     
##         Cafeteria,                                                                   
##         Fast_Food,                                                                   
##         Pizzeria}         => {Cafe-Coffee_Shop} 0.06122449  1.0000000  6.125000     3
## [841]  {Burgers,                                                                     
##         Cafe-Coffee_Shop,                                                            
##         Fast_Food,                                                                   
##         Pizzeria}         => {Cafeteria}        0.06122449  1.0000000  5.444444     3
## [842]  {Cafe-Coffee_Shop,                                                            
##         Cafeteria,                                                                   
##         Fast_Food,                                                                   
##         Pizzeria}         => {Burgers}          0.06122449  1.0000000  8.166667     3
## [843]  {Burgers,                                                                     
##         Cafe-Coffee_Shop,                                                            
##         Cafeteria,                                                                   
##         Fast_Food}        => {Pizzeria}         0.06122449  1.0000000  5.444444     3
## [844]  {Burgers,                                                                     
##         Cafe-Coffee_Shop,                                                            
##         Cafeteria,                                                                   
##         Pizzeria}         => {Fast_Food}        0.06122449  1.0000000  9.800000     3
## [845]  {American,                                                                    
##         Fast_Food,                                                                   
##         Hot_Dogs,                                                                    
##         Pizzeria}         => {Cafeteria}        0.06122449  1.0000000  5.444444     3
## [846]  {Cafeteria,                                                                   
##         Fast_Food,                                                                   
##         Hot_Dogs,                                                                    
##         Pizzeria}         => {American}         0.06122449  1.0000000  4.454545     3
## [847]  {American,                                                                    
##         Cafeteria,                                                                   
##         Fast_Food,                                                                   
##         Pizzeria}         => {Hot_Dogs}         0.06122449  1.0000000  8.166667     3
## [848]  {American,                                                                    
##         Cafeteria,                                                                   
##         Fast_Food,                                                                   
##         Hot_Dogs}         => {Pizzeria}         0.06122449  1.0000000  5.444444     3
## [849]  {American,                                                                    
##         Cafeteria,                                                                   
##         Hot_Dogs,                                                                    
##         Pizzeria}         => {Fast_Food}        0.06122449  1.0000000  9.800000     3
## [850]  {American,                                                                    
##         Fast_Food,                                                                   
##         Hot_Dogs,                                                                    
##         Pizzeria}         => {Cafe-Coffee_Shop} 0.06122449  1.0000000  6.125000     3
## [851]  {Cafe-Coffee_Shop,                                                            
##         Fast_Food,                                                                   
##         Hot_Dogs,                                                                    
##         Pizzeria}         => {American}         0.06122449  1.0000000  4.454545     3
## [852]  {American,                                                                    
##         Cafe-Coffee_Shop,                                                            
##         Fast_Food,                                                                   
##         Pizzeria}         => {Hot_Dogs}         0.06122449  1.0000000  8.166667     3
## [853]  {American,                                                                    
##         Cafe-Coffee_Shop,                                                            
##         Fast_Food,                                                                   
##         Hot_Dogs}         => {Pizzeria}         0.06122449  1.0000000  5.444444     3
## [854]  {American,                                                                    
##         Cafe-Coffee_Shop,                                                            
##         Hot_Dogs,                                                                    
##         Pizzeria}         => {Fast_Food}        0.06122449  1.0000000  9.800000     3
## [855]  {Cafeteria,                                                                   
##         Fast_Food,                                                                   
##         Hot_Dogs,                                                                    
##         Pizzeria}         => {Cafe-Coffee_Shop} 0.06122449  1.0000000  6.125000     3
## [856]  {Cafe-Coffee_Shop,                                                            
##         Fast_Food,                                                                   
##         Hot_Dogs,                                                                    
##         Pizzeria}         => {Cafeteria}        0.06122449  1.0000000  5.444444     3
## [857]  {Cafe-Coffee_Shop,                                                            
##         Cafeteria,                                                                   
##         Fast_Food,                                                                   
##         Pizzeria}         => {Hot_Dogs}         0.06122449  1.0000000  8.166667     3
## [858]  {Cafe-Coffee_Shop,                                                            
##         Cafeteria,                                                                   
##         Fast_Food,                                                                   
##         Hot_Dogs}         => {Pizzeria}         0.06122449  1.0000000  5.444444     3
## [859]  {Cafe-Coffee_Shop,                                                            
##         Cafeteria,                                                                   
##         Hot_Dogs,                                                                    
##         Pizzeria}         => {Fast_Food}        0.06122449  1.0000000  9.800000     3
## [860]  {American,                                                                    
##         Cafeteria,                                                                   
##         Fast_Food,                                                                   
##         Pizzeria}         => {Cafe-Coffee_Shop} 0.06122449  1.0000000  6.125000     3
## [861]  {American,                                                                    
##         Cafe-Coffee_Shop,                                                            
##         Fast_Food,                                                                   
##         Pizzeria}         => {Cafeteria}        0.06122449  1.0000000  5.444444     3
## [862]  {Cafe-Coffee_Shop,                                                            
##         Cafeteria,                                                                   
##         Fast_Food,                                                                   
##         Pizzeria}         => {American}         0.06122449  1.0000000  4.454545     3
## [863]  {American,                                                                    
##         Cafe-Coffee_Shop,                                                            
##         Cafeteria,                                                                   
##         Fast_Food}        => {Pizzeria}         0.06122449  1.0000000  5.444444     3
## [864]  {American,                                                                    
##         Cafe-Coffee_Shop,                                                            
##         Cafeteria,                                                                   
##         Pizzeria}         => {Fast_Food}        0.06122449  1.0000000  9.800000     3
## [865]  {American,                                                                    
##         Burgers,                                                                     
##         Fast_Food,                                                                   
##         Hot_Dogs}         => {Cafeteria}        0.06122449  1.0000000  5.444444     3
## [866]  {Burgers,                                                                     
##         Cafeteria,                                                                   
##         Fast_Food,                                                                   
##         Hot_Dogs}         => {American}         0.06122449  1.0000000  4.454545     3
## [867]  {American,                                                                    
##         Burgers,                                                                     
##         Cafeteria,                                                                   
##         Fast_Food}        => {Hot_Dogs}         0.06122449  1.0000000  8.166667     3
## [868]  {American,                                                                    
##         Cafeteria,                                                                   
##         Fast_Food,                                                                   
##         Hot_Dogs}         => {Burgers}          0.06122449  1.0000000  8.166667     3
## [869]  {American,                                                                    
##         Burgers,                                                                     
##         Cafeteria,                                                                   
##         Hot_Dogs}         => {Fast_Food}        0.06122449  1.0000000  9.800000     3
## [870]  {American,                                                                    
##         Burgers,                                                                     
##         Fast_Food,                                                                   
##         Hot_Dogs}         => {Cafe-Coffee_Shop} 0.06122449  1.0000000  6.125000     3
## [871]  {Burgers,                                                                     
##         Cafe-Coffee_Shop,                                                            
##         Fast_Food,                                                                   
##         Hot_Dogs}         => {American}         0.06122449  1.0000000  4.454545     3
## [872]  {American,                                                                    
##         Burgers,                                                                     
##         Cafe-Coffee_Shop,                                                            
##         Fast_Food}        => {Hot_Dogs}         0.06122449  1.0000000  8.166667     3
## [873]  {American,                                                                    
##         Cafe-Coffee_Shop,                                                            
##         Fast_Food,                                                                   
##         Hot_Dogs}         => {Burgers}          0.06122449  1.0000000  8.166667     3
## [874]  {American,                                                                    
##         Burgers,                                                                     
##         Cafe-Coffee_Shop,                                                            
##         Hot_Dogs}         => {Fast_Food}        0.06122449  1.0000000  9.800000     3
## [875]  {Burgers,                                                                     
##         Cafeteria,                                                                   
##         Fast_Food,                                                                   
##         Hot_Dogs}         => {Cafe-Coffee_Shop} 0.06122449  1.0000000  6.125000     3
## [876]  {Burgers,                                                                     
##         Cafe-Coffee_Shop,                                                            
##         Fast_Food,                                                                   
##         Hot_Dogs}         => {Cafeteria}        0.06122449  1.0000000  5.444444     3
## [877]  {Burgers,                                                                     
##         Cafe-Coffee_Shop,                                                            
##         Cafeteria,                                                                   
##         Fast_Food}        => {Hot_Dogs}         0.06122449  1.0000000  8.166667     3
## [878]  {Cafe-Coffee_Shop,                                                            
##         Cafeteria,                                                                   
##         Fast_Food,                                                                   
##         Hot_Dogs}         => {Burgers}          0.06122449  1.0000000  8.166667     3
## [879]  {Burgers,                                                                     
##         Cafe-Coffee_Shop,                                                            
##         Cafeteria,                                                                   
##         Hot_Dogs}         => {Fast_Food}        0.06122449  0.7500000  7.350000     3
## [880]  {American,                                                                    
##         Burgers,                                                                     
##         Cafeteria,                                                                   
##         Fast_Food}        => {Cafe-Coffee_Shop} 0.06122449  1.0000000  6.125000     3
## [881]  {American,                                                                    
##         Burgers,                                                                     
##         Cafe-Coffee_Shop,                                                            
##         Fast_Food}        => {Cafeteria}        0.06122449  1.0000000  5.444444     3
## [882]  {Burgers,                                                                     
##         Cafe-Coffee_Shop,                                                            
##         Cafeteria,                                                                   
##         Fast_Food}        => {American}         0.06122449  1.0000000  4.454545     3
## [883]  {American,                                                                    
##         Cafe-Coffee_Shop,                                                            
##         Cafeteria,                                                                   
##         Fast_Food}        => {Burgers}          0.06122449  1.0000000  8.166667     3
## [884]  {American,                                                                    
##         Burgers,                                                                     
##         Cafe-Coffee_Shop,                                                            
##         Cafeteria}        => {Fast_Food}        0.06122449  1.0000000  9.800000     3
## [885]  {American,                                                                    
##         Cafeteria,                                                                   
##         Fast_Food,                                                                   
##         Hot_Dogs}         => {Cafe-Coffee_Shop} 0.06122449  1.0000000  6.125000     3
## [886]  {American,                                                                    
##         Cafe-Coffee_Shop,                                                            
##         Fast_Food,                                                                   
##         Hot_Dogs}         => {Cafeteria}        0.06122449  1.0000000  5.444444     3
## [887]  {Cafe-Coffee_Shop,                                                            
##         Cafeteria,                                                                   
##         Fast_Food,                                                                   
##         Hot_Dogs}         => {American}         0.06122449  1.0000000  4.454545     3
## [888]  {American,                                                                    
##         Cafe-Coffee_Shop,                                                            
##         Cafeteria,                                                                   
##         Fast_Food}        => {Hot_Dogs}         0.06122449  1.0000000  8.166667     3
## [889]  {American,                                                                    
##         Cafe-Coffee_Shop,                                                            
##         Cafeteria,                                                                   
##         Hot_Dogs}         => {Fast_Food}        0.06122449  0.7500000  7.350000     3
## [890]  {Burgers,                                                                     
##         Chinese,                                                                     
##         Family,                                                                      
##         Latin_American}   => {Hot_Dogs}         0.06122449  1.0000000  8.166667     3
## [891]  {Chinese,                                                                     
##         Family,                                                                      
##         Hot_Dogs,                                                                    
##         Latin_American}   => {Burgers}          0.06122449  1.0000000  8.166667     3
## [892]  {Burgers,                                                                     
##         Chinese,                                                                     
##         Family,                                                                      
##         Hot_Dogs}         => {Latin_American}   0.06122449  1.0000000  8.166667     3
## [893]  {Burgers,                                                                     
##         Chinese,                                                                     
##         Hot_Dogs,                                                                    
##         Latin_American}   => {Family}           0.06122449  1.0000000  6.125000     3
## [894]  {Burgers,                                                                     
##         Family,                                                                      
##         Hot_Dogs,                                                                    
##         Latin_American}   => {Chinese}          0.06122449  1.0000000  8.166667     3
## [895]  {Burgers,                                                                     
##         Chinese,                                                                     
##         Family,                                                                      
##         Latin_American}   => {Cafeteria}        0.06122449  1.0000000  5.444444     3
## [896]  {Cafeteria,                                                                   
##         Chinese,                                                                     
##         Family,                                                                      
##         Latin_American}   => {Burgers}          0.06122449  1.0000000  8.166667     3
## [897]  {Burgers,                                                                     
##         Cafeteria,                                                                   
##         Chinese,                                                                     
##         Family}           => {Latin_American}   0.06122449  1.0000000  8.166667     3
## [898]  {Burgers,                                                                     
##         Cafeteria,                                                                   
##         Chinese,                                                                     
##         Latin_American}   => {Family}           0.06122449  1.0000000  6.125000     3
## [899]  {Burgers,                                                                     
##         Cafeteria,                                                                   
##         Family,                                                                      
##         Latin_American}   => {Chinese}          0.06122449  1.0000000  8.166667     3
## [900]  {Burgers,                                                                     
##         Chinese,                                                                     
##         Family,                                                                      
##         Latin_American}   => {Cafe-Coffee_Shop} 0.06122449  1.0000000  6.125000     3
## [901]  {Cafe-Coffee_Shop,                                                            
##         Chinese,                                                                     
##         Family,                                                                      
##         Latin_American}   => {Burgers}          0.06122449  1.0000000  8.166667     3
## [902]  {Burgers,                                                                     
##         Cafe-Coffee_Shop,                                                            
##         Chinese,                                                                     
##         Family}           => {Latin_American}   0.06122449  1.0000000  8.166667     3
## [903]  {Burgers,                                                                     
##         Cafe-Coffee_Shop,                                                            
##         Chinese,                                                                     
##         Latin_American}   => {Family}           0.06122449  1.0000000  6.125000     3
## [904]  {Burgers,                                                                     
##         Cafe-Coffee_Shop,                                                            
##         Family,                                                                      
##         Latin_American}   => {Chinese}          0.06122449  1.0000000  8.166667     3
## [905]  {Chinese,                                                                     
##         Family,                                                                      
##         Hot_Dogs,                                                                    
##         Latin_American}   => {Cafeteria}        0.06122449  1.0000000  5.444444     3
## [906]  {Cafeteria,                                                                   
##         Chinese,                                                                     
##         Family,                                                                      
##         Latin_American}   => {Hot_Dogs}         0.06122449  1.0000000  8.166667     3
## [907]  {Cafeteria,                                                                   
##         Chinese,                                                                     
##         Family,                                                                      
##         Hot_Dogs}         => {Latin_American}   0.06122449  1.0000000  8.166667     3
## [908]  {Cafeteria,                                                                   
##         Chinese,                                                                     
##         Hot_Dogs,                                                                    
##         Latin_American}   => {Family}           0.06122449  1.0000000  6.125000     3
## [909]  {Cafeteria,                                                                   
##         Family,                                                                      
##         Hot_Dogs,                                                                    
##         Latin_American}   => {Chinese}          0.06122449  1.0000000  8.166667     3
## [910]  {Chinese,                                                                     
##         Family,                                                                      
##         Hot_Dogs,                                                                    
##         Latin_American}   => {Cafe-Coffee_Shop} 0.06122449  1.0000000  6.125000     3
## [911]  {Cafe-Coffee_Shop,                                                            
##         Chinese,                                                                     
##         Family,                                                                      
##         Latin_American}   => {Hot_Dogs}         0.06122449  1.0000000  8.166667     3
## [912]  {Cafe-Coffee_Shop,                                                            
##         Chinese,                                                                     
##         Family,                                                                      
##         Hot_Dogs}         => {Latin_American}   0.06122449  1.0000000  8.166667     3
## [913]  {Cafe-Coffee_Shop,                                                            
##         Chinese,                                                                     
##         Hot_Dogs,                                                                    
##         Latin_American}   => {Family}           0.06122449  1.0000000  6.125000     3
## [914]  {Cafe-Coffee_Shop,                                                            
##         Family,                                                                      
##         Hot_Dogs,                                                                    
##         Latin_American}   => {Chinese}          0.06122449  1.0000000  8.166667     3
## [915]  {Cafeteria,                                                                   
##         Chinese,                                                                     
##         Family,                                                                      
##         Latin_American}   => {Cafe-Coffee_Shop} 0.06122449  1.0000000  6.125000     3
## [916]  {Cafe-Coffee_Shop,                                                            
##         Chinese,                                                                     
##         Family,                                                                      
##         Latin_American}   => {Cafeteria}        0.06122449  1.0000000  5.444444     3
## [917]  {Cafe-Coffee_Shop,                                                            
##         Cafeteria,                                                                   
##         Chinese,                                                                     
##         Family}           => {Latin_American}   0.06122449  1.0000000  8.166667     3
## [918]  {Cafe-Coffee_Shop,                                                            
##         Cafeteria,                                                                   
##         Chinese,                                                                     
##         Latin_American}   => {Family}           0.06122449  1.0000000  6.125000     3
## [919]  {Cafe-Coffee_Shop,                                                            
##         Cafeteria,                                                                   
##         Family,                                                                      
##         Latin_American}   => {Chinese}          0.06122449  1.0000000  8.166667     3
## [920]  {Burgers,                                                                     
##         Chinese,                                                                     
##         Family,                                                                      
##         Hot_Dogs}         => {Cafeteria}        0.06122449  1.0000000  5.444444     3
## [921]  {Burgers,                                                                     
##         Cafeteria,                                                                   
##         Chinese,                                                                     
##         Family}           => {Hot_Dogs}         0.06122449  1.0000000  8.166667     3
## [922]  {Cafeteria,                                                                   
##         Chinese,                                                                     
##         Family,                                                                      
##         Hot_Dogs}         => {Burgers}          0.06122449  1.0000000  8.166667     3
## [923]  {Burgers,                                                                     
##         Cafeteria,                                                                   
##         Chinese,                                                                     
##         Hot_Dogs}         => {Family}           0.06122449  1.0000000  6.125000     3
## [924]  {Burgers,                                                                     
##         Cafeteria,                                                                   
##         Family,                                                                      
##         Hot_Dogs}         => {Chinese}          0.06122449  1.0000000  8.166667     3
## [925]  {Burgers,                                                                     
##         Chinese,                                                                     
##         Family,                                                                      
##         Hot_Dogs}         => {Cafe-Coffee_Shop} 0.06122449  1.0000000  6.125000     3
## [926]  {Burgers,                                                                     
##         Cafe-Coffee_Shop,                                                            
##         Chinese,                                                                     
##         Family}           => {Hot_Dogs}         0.06122449  1.0000000  8.166667     3
## [927]  {Cafe-Coffee_Shop,                                                            
##         Chinese,                                                                     
##         Family,                                                                      
##         Hot_Dogs}         => {Burgers}          0.06122449  1.0000000  8.166667     3
## [928]  {Burgers,                                                                     
##         Cafe-Coffee_Shop,                                                            
##         Chinese,                                                                     
##         Hot_Dogs}         => {Family}           0.06122449  1.0000000  6.125000     3
## [929]  {Burgers,                                                                     
##         Cafe-Coffee_Shop,                                                            
##         Family,                                                                      
##         Hot_Dogs}         => {Chinese}          0.06122449  1.0000000  8.166667     3
## [930]  {Burgers,                                                                     
##         Cafeteria,                                                                   
##         Chinese,                                                                     
##         Family}           => {Cafe-Coffee_Shop} 0.06122449  1.0000000  6.125000     3
## [931]  {Burgers,                                                                     
##         Cafe-Coffee_Shop,                                                            
##         Chinese,                                                                     
##         Family}           => {Cafeteria}        0.06122449  1.0000000  5.444444     3
## [932]  {Cafe-Coffee_Shop,                                                            
##         Cafeteria,                                                                   
##         Chinese,                                                                     
##         Family}           => {Burgers}          0.06122449  1.0000000  8.166667     3
## [933]  {Burgers,                                                                     
##         Cafe-Coffee_Shop,                                                            
##         Cafeteria,                                                                   
##         Chinese}          => {Family}           0.06122449  1.0000000  6.125000     3
## [934]  {Burgers,                                                                     
##         Cafe-Coffee_Shop,                                                            
##         Cafeteria,                                                                   
##         Family}           => {Chinese}          0.06122449  1.0000000  8.166667     3
## [935]  {Cafeteria,                                                                   
##         Chinese,                                                                     
##         Family,                                                                      
##         Hot_Dogs}         => {Cafe-Coffee_Shop} 0.06122449  1.0000000  6.125000     3
## [936]  {Cafe-Coffee_Shop,                                                            
##         Chinese,                                                                     
##         Family,                                                                      
##         Hot_Dogs}         => {Cafeteria}        0.06122449  1.0000000  5.444444     3
## [937]  {Cafe-Coffee_Shop,                                                            
##         Cafeteria,                                                                   
##         Chinese,                                                                     
##         Family}           => {Hot_Dogs}         0.06122449  1.0000000  8.166667     3
## [938]  {Cafe-Coffee_Shop,                                                            
##         Cafeteria,                                                                   
##         Chinese,                                                                     
##         Hot_Dogs}         => {Family}           0.06122449  1.0000000  6.125000     3
## [939]  {Cafe-Coffee_Shop,                                                            
##         Cafeteria,                                                                   
##         Family,                                                                      
##         Hot_Dogs}         => {Chinese}          0.06122449  1.0000000  8.166667     3
## [940]  {Burgers,                                                                     
##         Chinese,                                                                     
##         Hot_Dogs,                                                                    
##         Latin_American}   => {Cafeteria}        0.06122449  1.0000000  5.444444     3
## [941]  {Burgers,                                                                     
##         Cafeteria,                                                                   
##         Chinese,                                                                     
##         Latin_American}   => {Hot_Dogs}         0.06122449  1.0000000  8.166667     3
## [942]  {Cafeteria,                                                                   
##         Chinese,                                                                     
##         Hot_Dogs,                                                                    
##         Latin_American}   => {Burgers}          0.06122449  1.0000000  8.166667     3
## [943]  {Burgers,                                                                     
##         Cafeteria,                                                                   
##         Chinese,                                                                     
##         Hot_Dogs}         => {Latin_American}   0.06122449  1.0000000  8.166667     3
## [944]  {Burgers,                                                                     
##         Cafeteria,                                                                   
##         Hot_Dogs,                                                                    
##         Latin_American}   => {Chinese}          0.06122449  1.0000000  8.166667     3
## [945]  {Burgers,                                                                     
##         Chinese,                                                                     
##         Hot_Dogs,                                                                    
##         Latin_American}   => {Cafe-Coffee_Shop} 0.06122449  1.0000000  6.125000     3
## [946]  {Burgers,                                                                     
##         Cafe-Coffee_Shop,                                                            
##         Chinese,                                                                     
##         Latin_American}   => {Hot_Dogs}         0.06122449  1.0000000  8.166667     3
## [947]  {Cafe-Coffee_Shop,                                                            
##         Chinese,                                                                     
##         Hot_Dogs,                                                                    
##         Latin_American}   => {Burgers}          0.06122449  1.0000000  8.166667     3
## [948]  {Burgers,                                                                     
##         Cafe-Coffee_Shop,                                                            
##         Chinese,                                                                     
##         Hot_Dogs}         => {Latin_American}   0.06122449  1.0000000  8.166667     3
## [949]  {Burgers,                                                                     
##         Cafe-Coffee_Shop,                                                            
##         Hot_Dogs,                                                                    
##         Latin_American}   => {Chinese}          0.06122449  1.0000000  8.166667     3
## [950]  {Burgers,                                                                     
##         Cafeteria,                                                                   
##         Chinese,                                                                     
##         Latin_American}   => {Cafe-Coffee_Shop} 0.06122449  1.0000000  6.125000     3
## [951]  {Burgers,                                                                     
##         Cafe-Coffee_Shop,                                                            
##         Chinese,                                                                     
##         Latin_American}   => {Cafeteria}        0.06122449  1.0000000  5.444444     3
## [952]  {Cafe-Coffee_Shop,                                                            
##         Cafeteria,                                                                   
##         Chinese,                                                                     
##         Latin_American}   => {Burgers}          0.06122449  1.0000000  8.166667     3
## [953]  {Burgers,                                                                     
##         Cafe-Coffee_Shop,                                                            
##         Cafeteria,                                                                   
##         Chinese}          => {Latin_American}   0.06122449  1.0000000  8.166667     3
## [954]  {Burgers,                                                                     
##         Cafe-Coffee_Shop,                                                            
##         Cafeteria,                                                                   
##         Latin_American}   => {Chinese}          0.06122449  1.0000000  8.166667     3
## [955]  {Cafeteria,                                                                   
##         Chinese,                                                                     
##         Hot_Dogs,                                                                    
##         Latin_American}   => {Cafe-Coffee_Shop} 0.06122449  1.0000000  6.125000     3
## [956]  {Cafe-Coffee_Shop,                                                            
##         Chinese,                                                                     
##         Hot_Dogs,                                                                    
##         Latin_American}   => {Cafeteria}        0.06122449  1.0000000  5.444444     3
## [957]  {Cafe-Coffee_Shop,                                                            
##         Cafeteria,                                                                   
##         Chinese,                                                                     
##         Latin_American}   => {Hot_Dogs}         0.06122449  1.0000000  8.166667     3
## [958]  {Cafe-Coffee_Shop,                                                            
##         Cafeteria,                                                                   
##         Chinese,                                                                     
##         Hot_Dogs}         => {Latin_American}   0.06122449  1.0000000  8.166667     3
## [959]  {Cafe-Coffee_Shop,                                                            
##         Cafeteria,                                                                   
##         Hot_Dogs,                                                                    
##         Latin_American}   => {Chinese}          0.06122449  0.7500000  6.125000     3
## [960]  {Burgers,                                                                     
##         Cafeteria,                                                                   
##         Chinese,                                                                     
##         Hot_Dogs}         => {Cafe-Coffee_Shop} 0.06122449  1.0000000  6.125000     3
## [961]  {Burgers,                                                                     
##         Cafe-Coffee_Shop,                                                            
##         Chinese,                                                                     
##         Hot_Dogs}         => {Cafeteria}        0.06122449  1.0000000  5.444444     3
## [962]  {Burgers,                                                                     
##         Cafe-Coffee_Shop,                                                            
##         Cafeteria,                                                                   
##         Chinese}          => {Hot_Dogs}         0.06122449  1.0000000  8.166667     3
## [963]  {Cafe-Coffee_Shop,                                                            
##         Cafeteria,                                                                   
##         Chinese,                                                                     
##         Hot_Dogs}         => {Burgers}          0.06122449  1.0000000  8.166667     3
## [964]  {Burgers,                                                                     
##         Cafe-Coffee_Shop,                                                            
##         Cafeteria,                                                                   
##         Hot_Dogs}         => {Chinese}          0.06122449  0.7500000  6.125000     3
## [965]  {Cafeteria,                                                                   
##         Hot_Dogs,                                                                    
##         Italian,                                                                     
##         Latin_American}   => {Cafe-Coffee_Shop} 0.06122449  1.0000000  6.125000     3
## [966]  {Cafe-Coffee_Shop,                                                            
##         Hot_Dogs,                                                                    
##         Italian,                                                                     
##         Latin_American}   => {Cafeteria}        0.06122449  1.0000000  5.444444     3
## [967]  {Cafe-Coffee_Shop,                                                            
##         Cafeteria,                                                                   
##         Italian,                                                                     
##         Latin_American}   => {Hot_Dogs}         0.06122449  1.0000000  8.166667     3
## [968]  {Cafe-Coffee_Shop,                                                            
##         Cafeteria,                                                                   
##         Hot_Dogs,                                                                    
##         Italian}          => {Latin_American}   0.06122449  0.7500000  6.125000     3
## [969]  {Cafe-Coffee_Shop,                                                            
##         Cafeteria,                                                                   
##         Hot_Dogs,                                                                    
##         Latin_American}   => {Italian}          0.06122449  0.7500000  5.250000     3
## [970]  {Burgers,                                                                     
##         Cafeteria,                                                                   
##         Hot_Dogs,                                                                    
##         Italian}          => {Cafe-Coffee_Shop} 0.06122449  1.0000000  6.125000     3
## [971]  {Burgers,                                                                     
##         Cafe-Coffee_Shop,                                                            
##         Hot_Dogs,                                                                    
##         Italian}          => {Cafeteria}        0.06122449  1.0000000  5.444444     3
## [972]  {Burgers,                                                                     
##         Cafe-Coffee_Shop,                                                            
##         Cafeteria,                                                                   
##         Italian}          => {Hot_Dogs}         0.06122449  1.0000000  8.166667     3
## [973]  {Cafe-Coffee_Shop,                                                            
##         Cafeteria,                                                                   
##         Hot_Dogs,                                                                    
##         Italian}          => {Burgers}          0.06122449  0.7500000  6.125000     3
## [974]  {Burgers,                                                                     
##         Cafe-Coffee_Shop,                                                            
##         Cafeteria,                                                                   
##         Hot_Dogs}         => {Italian}          0.06122449  0.7500000  5.250000     3
## [975]  {American,                                                                    
##         Cafeteria,                                                                   
##         Hot_Dogs,                                                                    
##         Italian}          => {Cafe-Coffee_Shop} 0.06122449  1.0000000  6.125000     3
## [976]  {American,                                                                    
##         Cafe-Coffee_Shop,                                                            
##         Hot_Dogs,                                                                    
##         Italian}          => {Cafeteria}        0.06122449  1.0000000  5.444444     3
## [977]  {Cafe-Coffee_Shop,                                                            
##         Cafeteria,                                                                   
##         Hot_Dogs,                                                                    
##         Italian}          => {American}         0.06122449  0.7500000  3.340909     3
## [978]  {American,                                                                    
##         Cafe-Coffee_Shop,                                                            
##         Cafeteria,                                                                   
##         Italian}          => {Hot_Dogs}         0.06122449  1.0000000  8.166667     3
## [979]  {American,                                                                    
##         Cafe-Coffee_Shop,                                                            
##         Cafeteria,                                                                   
##         Hot_Dogs}         => {Italian}          0.06122449  0.7500000  5.250000     3
## [980]  {American,                                                                    
##         Burgers,                                                                     
##         Hot_Dogs,                                                                    
##         Pizzeria}         => {Cafeteria}        0.06122449  1.0000000  5.444444     3
## [981]  {Burgers,                                                                     
##         Cafeteria,                                                                   
##         Hot_Dogs,                                                                    
##         Pizzeria}         => {American}         0.06122449  1.0000000  4.454545     3
## [982]  {American,                                                                    
##         Burgers,                                                                     
##         Cafeteria,                                                                   
##         Pizzeria}         => {Hot_Dogs}         0.06122449  1.0000000  8.166667     3
## [983]  {American,                                                                    
##         Cafeteria,                                                                   
##         Hot_Dogs,                                                                    
##         Pizzeria}         => {Burgers}          0.06122449  1.0000000  8.166667     3
## [984]  {American,                                                                    
##         Burgers,                                                                     
##         Cafeteria,                                                                   
##         Hot_Dogs}         => {Pizzeria}         0.06122449  1.0000000  5.444444     3
## [985]  {American,                                                                    
##         Burgers,                                                                     
##         Hot_Dogs,                                                                    
##         Pizzeria}         => {Cafe-Coffee_Shop} 0.06122449  1.0000000  6.125000     3
## [986]  {Burgers,                                                                     
##         Cafe-Coffee_Shop,                                                            
##         Hot_Dogs,                                                                    
##         Pizzeria}         => {American}         0.06122449  1.0000000  4.454545     3
## [987]  {American,                                                                    
##         Burgers,                                                                     
##         Cafe-Coffee_Shop,                                                            
##         Pizzeria}         => {Hot_Dogs}         0.06122449  1.0000000  8.166667     3
## [988]  {American,                                                                    
##         Cafe-Coffee_Shop,                                                            
##         Hot_Dogs,                                                                    
##         Pizzeria}         => {Burgers}          0.06122449  1.0000000  8.166667     3
## [989]  {American,                                                                    
##         Burgers,                                                                     
##         Cafe-Coffee_Shop,                                                            
##         Hot_Dogs}         => {Pizzeria}         0.06122449  1.0000000  5.444444     3
## [990]  {Burgers,                                                                     
##         Cafeteria,                                                                   
##         Hot_Dogs,                                                                    
##         Pizzeria}         => {Cafe-Coffee_Shop} 0.06122449  1.0000000  6.125000     3
## [991]  {Burgers,                                                                     
##         Cafe-Coffee_Shop,                                                            
##         Hot_Dogs,                                                                    
##         Pizzeria}         => {Cafeteria}        0.06122449  1.0000000  5.444444     3
## [992]  {Burgers,                                                                     
##         Cafe-Coffee_Shop,                                                            
##         Cafeteria,                                                                   
##         Pizzeria}         => {Hot_Dogs}         0.06122449  1.0000000  8.166667     3
## [993]  {Cafe-Coffee_Shop,                                                            
##         Cafeteria,                                                                   
##         Hot_Dogs,                                                                    
##         Pizzeria}         => {Burgers}          0.06122449  1.0000000  8.166667     3
## [994]  {Burgers,                                                                     
##         Cafe-Coffee_Shop,                                                            
##         Cafeteria,                                                                   
##         Hot_Dogs}         => {Pizzeria}         0.06122449  0.7500000  4.083333     3
## [995]  {American,                                                                    
##         Burgers,                                                                     
##         Cafeteria,                                                                   
##         Pizzeria}         => {Cafe-Coffee_Shop} 0.06122449  1.0000000  6.125000     3
## [996]  {American,                                                                    
##         Burgers,                                                                     
##         Cafe-Coffee_Shop,                                                            
##         Pizzeria}         => {Cafeteria}        0.06122449  1.0000000  5.444444     3
## [997]  {Burgers,                                                                     
##         Cafe-Coffee_Shop,                                                            
##         Cafeteria,                                                                   
##         Pizzeria}         => {American}         0.06122449  1.0000000  4.454545     3
## [998]  {American,                                                                    
##         Cafe-Coffee_Shop,                                                            
##         Cafeteria,                                                                   
##         Pizzeria}         => {Burgers}          0.06122449  1.0000000  8.166667     3
## [999]  {American,                                                                    
##         Burgers,                                                                     
##         Cafe-Coffee_Shop,                                                            
##         Cafeteria}        => {Pizzeria}         0.06122449  1.0000000  5.444444     3
## [1000] {American,                                                                    
##         Cafeteria,                                                                   
##         Hot_Dogs,                                                                    
##         Pizzeria}         => {Cafe-Coffee_Shop} 0.06122449  1.0000000  6.125000     3
## [1001] {American,                                                                    
##         Cafe-Coffee_Shop,                                                            
##         Hot_Dogs,                                                                    
##         Pizzeria}         => {Cafeteria}        0.06122449  1.0000000  5.444444     3
## [1002] {Cafe-Coffee_Shop,                                                            
##         Cafeteria,                                                                   
##         Hot_Dogs,                                                                    
##         Pizzeria}         => {American}         0.06122449  1.0000000  4.454545     3
## [1003] {American,                                                                    
##         Cafe-Coffee_Shop,                                                            
##         Cafeteria,                                                                   
##         Pizzeria}         => {Hot_Dogs}         0.06122449  1.0000000  8.166667     3
## [1004] {American,                                                                    
##         Cafe-Coffee_Shop,                                                            
##         Cafeteria,                                                                   
##         Hot_Dogs}         => {Pizzeria}         0.06122449  0.7500000  4.083333     3
## [1005] {Burgers,                                                                     
##         Family,                                                                      
##         Hot_Dogs,                                                                    
##         Latin_American}   => {Cafeteria}        0.06122449  1.0000000  5.444444     3
## [1006] {Burgers,                                                                     
##         Cafeteria,                                                                   
##         Family,                                                                      
##         Latin_American}   => {Hot_Dogs}         0.06122449  1.0000000  8.166667     3
## [1007] {Cafeteria,                                                                   
##         Family,                                                                      
##         Hot_Dogs,                                                                    
##         Latin_American}   => {Burgers}          0.06122449  1.0000000  8.166667     3
## [1008] {Burgers,                                                                     
##         Cafeteria,                                                                   
##         Family,                                                                      
##         Hot_Dogs}         => {Latin_American}   0.06122449  1.0000000  8.166667     3
## [1009] {Burgers,                                                                     
##         Cafeteria,                                                                   
##         Hot_Dogs,                                                                    
##         Latin_American}   => {Family}           0.06122449  1.0000000  6.125000     3
## [1010] {Burgers,                                                                     
##         Family,                                                                      
##         Hot_Dogs,                                                                    
##         Latin_American}   => {Cafe-Coffee_Shop} 0.06122449  1.0000000  6.125000     3
## [1011] {Burgers,                                                                     
##         Cafe-Coffee_Shop,                                                            
##         Family,                                                                      
##         Latin_American}   => {Hot_Dogs}         0.06122449  1.0000000  8.166667     3
## [1012] {Cafe-Coffee_Shop,                                                            
##         Family,                                                                      
##         Hot_Dogs,                                                                    
##         Latin_American}   => {Burgers}          0.06122449  1.0000000  8.166667     3
## [1013] {Burgers,                                                                     
##         Cafe-Coffee_Shop,                                                            
##         Family,                                                                      
##         Hot_Dogs}         => {Latin_American}   0.06122449  1.0000000  8.166667     3
## [1014] {Burgers,                                                                     
##         Cafe-Coffee_Shop,                                                            
##         Hot_Dogs,                                                                    
##         Latin_American}   => {Family}           0.06122449  1.0000000  6.125000     3
## [1015] {Burgers,                                                                     
##         Cafeteria,                                                                   
##         Family,                                                                      
##         Latin_American}   => {Cafe-Coffee_Shop} 0.06122449  1.0000000  6.125000     3
## [1016] {Burgers,                                                                     
##         Cafe-Coffee_Shop,                                                            
##         Family,                                                                      
##         Latin_American}   => {Cafeteria}        0.06122449  1.0000000  5.444444     3
## [1017] {Cafe-Coffee_Shop,                                                            
##         Cafeteria,                                                                   
##         Family,                                                                      
##         Latin_American}   => {Burgers}          0.06122449  1.0000000  8.166667     3
## [1018] {Burgers,                                                                     
##         Cafe-Coffee_Shop,                                                            
##         Cafeteria,                                                                   
##         Family}           => {Latin_American}   0.06122449  1.0000000  8.166667     3
## [1019] {Burgers,                                                                     
##         Cafe-Coffee_Shop,                                                            
##         Cafeteria,                                                                   
##         Latin_American}   => {Family}           0.06122449  1.0000000  6.125000     3
## [1020] {Cafeteria,                                                                   
##         Family,                                                                      
##         Hot_Dogs,                                                                    
##         Latin_American}   => {Cafe-Coffee_Shop} 0.06122449  1.0000000  6.125000     3
## [1021] {Cafe-Coffee_Shop,                                                            
##         Family,                                                                      
##         Hot_Dogs,                                                                    
##         Latin_American}   => {Cafeteria}        0.06122449  1.0000000  5.444444     3
## [1022] {Cafe-Coffee_Shop,                                                            
##         Cafeteria,                                                                   
##         Family,                                                                      
##         Latin_American}   => {Hot_Dogs}         0.06122449  1.0000000  8.166667     3
## [1023] {Cafe-Coffee_Shop,                                                            
##         Cafeteria,                                                                   
##         Family,                                                                      
##         Hot_Dogs}         => {Latin_American}   0.06122449  1.0000000  8.166667     3
## [1024] {Cafe-Coffee_Shop,                                                            
##         Cafeteria,                                                                   
##         Hot_Dogs,                                                                    
##         Latin_American}   => {Family}           0.06122449  0.7500000  4.593750     3
## [1025] {Burgers,                                                                     
##         Cafeteria,                                                                   
##         Family,                                                                      
##         Hot_Dogs}         => {Cafe-Coffee_Shop} 0.06122449  1.0000000  6.125000     3
## [1026] {Burgers,                                                                     
##         Cafe-Coffee_Shop,                                                            
##         Family,                                                                      
##         Hot_Dogs}         => {Cafeteria}        0.06122449  1.0000000  5.444444     3
## [1027] {Burgers,                                                                     
##         Cafe-Coffee_Shop,                                                            
##         Cafeteria,                                                                   
##         Family}           => {Hot_Dogs}         0.06122449  1.0000000  8.166667     3
## [1028] {Cafe-Coffee_Shop,                                                            
##         Cafeteria,                                                                   
##         Family,                                                                      
##         Hot_Dogs}         => {Burgers}          0.06122449  1.0000000  8.166667     3
## [1029] {Burgers,                                                                     
##         Cafe-Coffee_Shop,                                                            
##         Cafeteria,                                                                   
##         Hot_Dogs}         => {Family}           0.06122449  0.7500000  4.593750     3
## [1030] {Burgers,                                                                     
##         Cafeteria,                                                                   
##         Hot_Dogs,                                                                    
##         Latin_American}   => {Cafe-Coffee_Shop} 0.06122449  1.0000000  6.125000     3
## [1031] {Burgers,                                                                     
##         Cafe-Coffee_Shop,                                                            
##         Hot_Dogs,                                                                    
##         Latin_American}   => {Cafeteria}        0.06122449  1.0000000  5.444444     3
## [1032] {Burgers,                                                                     
##         Cafe-Coffee_Shop,                                                            
##         Cafeteria,                                                                   
##         Latin_American}   => {Hot_Dogs}         0.06122449  1.0000000  8.166667     3
## [1033] {Cafe-Coffee_Shop,                                                            
##         Cafeteria,                                                                   
##         Hot_Dogs,                                                                    
##         Latin_American}   => {Burgers}          0.06122449  0.7500000  6.125000     3
## [1034] {Burgers,                                                                     
##         Cafe-Coffee_Shop,                                                            
##         Cafeteria,                                                                   
##         Hot_Dogs}         => {Latin_American}   0.06122449  0.7500000  6.125000     3
## [1035] {American,                                                                    
##         Cafeteria,                                                                   
##         Hot_Dogs,                                                                    
##         Latin_American}   => {Cafe-Coffee_Shop} 0.06122449  1.0000000  6.125000     3
## [1036] {American,                                                                    
##         Cafe-Coffee_Shop,                                                            
##         Hot_Dogs,                                                                    
##         Latin_American}   => {Cafeteria}        0.06122449  1.0000000  5.444444     3
## [1037] {Cafe-Coffee_Shop,                                                            
##         Cafeteria,                                                                   
##         Hot_Dogs,                                                                    
##         Latin_American}   => {American}         0.06122449  0.7500000  3.340909     3
## [1038] {American,                                                                    
##         Cafe-Coffee_Shop,                                                            
##         Cafeteria,                                                                   
##         Latin_American}   => {Hot_Dogs}         0.06122449  1.0000000  8.166667     3
## [1039] {American,                                                                    
##         Cafe-Coffee_Shop,                                                            
##         Cafeteria,                                                                   
##         Hot_Dogs}         => {Latin_American}   0.06122449  0.7500000  6.125000     3
## [1040] {American,                                                                    
##         Burgers,                                                                     
##         Cafeteria,                                                                   
##         Hot_Dogs}         => {Cafe-Coffee_Shop} 0.06122449  1.0000000  6.125000     3
## [1041] {American,                                                                    
##         Burgers,                                                                     
##         Cafe-Coffee_Shop,                                                            
##         Hot_Dogs}         => {Cafeteria}        0.06122449  1.0000000  5.444444     3
## [1042] {Burgers,                                                                     
##         Cafe-Coffee_Shop,                                                            
##         Cafeteria,                                                                   
##         Hot_Dogs}         => {American}         0.06122449  0.7500000  3.340909     3
## [1043] {American,                                                                    
##         Burgers,                                                                     
##         Cafe-Coffee_Shop,                                                            
##         Cafeteria}        => {Hot_Dogs}         0.06122449  1.0000000  8.166667     3
## [1044] {American,                                                                    
##         Cafe-Coffee_Shop,                                                            
##         Cafeteria,                                                                   
##         Hot_Dogs}         => {Burgers}          0.06122449  0.7500000  6.125000     3
## [1045] {American,                                                                    
##         Cafeteria,                                                                   
##         Hot_Dogs,                                                                    
##         Italian,                                                                     
##         Juice}            => {Cafe-Coffee_Shop} 0.06122449  1.0000000  6.125000     3
## [1046] {American,                                                                    
##         Cafe-Coffee_Shop,                                                            
##         Hot_Dogs,                                                                    
##         Italian,                                                                     
##         Juice}            => {Cafeteria}        0.06122449  1.0000000  5.444444     3
## [1047] {Cafe-Coffee_Shop,                                                            
##         Cafeteria,                                                                   
##         Hot_Dogs,                                                                    
##         Italian,                                                                     
##         Juice}            => {American}         0.06122449  1.0000000  4.454545     3
## [1048] {American,                                                                    
##         Cafe-Coffee_Shop,                                                            
##         Cafeteria,                                                                   
##         Italian,                                                                     
##         Juice}            => {Hot_Dogs}         0.06122449  1.0000000  8.166667     3
## [1049] {American,                                                                    
##         Cafe-Coffee_Shop,                                                            
##         Cafeteria,                                                                   
##         Hot_Dogs,                                                                    
##         Juice}            => {Italian}          0.06122449  1.0000000  7.000000     3
## [1050] {American,                                                                    
##         Cafe-Coffee_Shop,                                                            
##         Cafeteria,                                                                   
##         Hot_Dogs,                                                                    
##         Italian}          => {Juice}            0.06122449  1.0000000 16.333333     3
## [1051] {American,                                                                    
##         Burgers,                                                                     
##         Fast_Food,                                                                   
##         Hot_Dogs,                                                                    
##         Pizzeria}         => {Cafeteria}        0.06122449  1.0000000  5.444444     3
## [1052] {Burgers,                                                                     
##         Cafeteria,                                                                   
##         Fast_Food,                                                                   
##         Hot_Dogs,                                                                    
##         Pizzeria}         => {American}         0.06122449  1.0000000  4.454545     3
## [1053] {American,                                                                    
##         Burgers,                                                                     
##         Cafeteria,                                                                   
##         Fast_Food,                                                                   
##         Pizzeria}         => {Hot_Dogs}         0.06122449  1.0000000  8.166667     3
## [1054] {American,                                                                    
##         Cafeteria,                                                                   
##         Fast_Food,                                                                   
##         Hot_Dogs,                                                                    
##         Pizzeria}         => {Burgers}          0.06122449  1.0000000  8.166667     3
## [1055] {American,                                                                    
##         Burgers,                                                                     
##         Cafeteria,                                                                   
##         Fast_Food,                                                                   
##         Hot_Dogs}         => {Pizzeria}         0.06122449  1.0000000  5.444444     3
## [1056] {American,                                                                    
##         Burgers,                                                                     
##         Cafeteria,                                                                   
##         Hot_Dogs,                                                                    
##         Pizzeria}         => {Fast_Food}        0.06122449  1.0000000  9.800000     3
## [1057] {American,                                                                    
##         Burgers,                                                                     
##         Fast_Food,                                                                   
##         Hot_Dogs,                                                                    
##         Pizzeria}         => {Cafe-Coffee_Shop} 0.06122449  1.0000000  6.125000     3
## [1058] {Burgers,                                                                     
##         Cafe-Coffee_Shop,                                                            
##         Fast_Food,                                                                   
##         Hot_Dogs,                                                                    
##         Pizzeria}         => {American}         0.06122449  1.0000000  4.454545     3
## [1059] {American,                                                                    
##         Burgers,                                                                     
##         Cafe-Coffee_Shop,                                                            
##         Fast_Food,                                                                   
##         Pizzeria}         => {Hot_Dogs}         0.06122449  1.0000000  8.166667     3
## [1060] {American,                                                                    
##         Cafe-Coffee_Shop,                                                            
##         Fast_Food,                                                                   
##         Hot_Dogs,                                                                    
##         Pizzeria}         => {Burgers}          0.06122449  1.0000000  8.166667     3
## [1061] {American,                                                                    
##         Burgers,                                                                     
##         Cafe-Coffee_Shop,                                                            
##         Fast_Food,                                                                   
##         Hot_Dogs}         => {Pizzeria}         0.06122449  1.0000000  5.444444     3
## [1062] {American,                                                                    
##         Burgers,                                                                     
##         Cafe-Coffee_Shop,                                                            
##         Hot_Dogs,                                                                    
##         Pizzeria}         => {Fast_Food}        0.06122449  1.0000000  9.800000     3
## [1063] {Burgers,                                                                     
##         Cafeteria,                                                                   
##         Fast_Food,                                                                   
##         Hot_Dogs,                                                                    
##         Pizzeria}         => {Cafe-Coffee_Shop} 0.06122449  1.0000000  6.125000     3
## [1064] {Burgers,                                                                     
##         Cafe-Coffee_Shop,                                                            
##         Fast_Food,                                                                   
##         Hot_Dogs,                                                                    
##         Pizzeria}         => {Cafeteria}        0.06122449  1.0000000  5.444444     3
## [1065] {Burgers,                                                                     
##         Cafe-Coffee_Shop,                                                            
##         Cafeteria,                                                                   
##         Fast_Food,                                                                   
##         Pizzeria}         => {Hot_Dogs}         0.06122449  1.0000000  8.166667     3
## [1066] {Cafe-Coffee_Shop,                                                            
##         Cafeteria,                                                                   
##         Fast_Food,                                                                   
##         Hot_Dogs,                                                                    
##         Pizzeria}         => {Burgers}          0.06122449  1.0000000  8.166667     3
## [1067] {Burgers,                                                                     
##         Cafe-Coffee_Shop,                                                            
##         Cafeteria,                                                                   
##         Fast_Food,                                                                   
##         Hot_Dogs}         => {Pizzeria}         0.06122449  1.0000000  5.444444     3
## [1068] {Burgers,                                                                     
##         Cafe-Coffee_Shop,                                                            
##         Cafeteria,                                                                   
##         Hot_Dogs,                                                                    
##         Pizzeria}         => {Fast_Food}        0.06122449  1.0000000  9.800000     3
## [1069] {American,                                                                    
##         Burgers,                                                                     
##         Cafeteria,                                                                   
##         Fast_Food,                                                                   
##         Pizzeria}         => {Cafe-Coffee_Shop} 0.06122449  1.0000000  6.125000     3
## [1070] {American,                                                                    
##         Burgers,                                                                     
##         Cafe-Coffee_Shop,                                                            
##         Fast_Food,                                                                   
##         Pizzeria}         => {Cafeteria}        0.06122449  1.0000000  5.444444     3
## [1071] {Burgers,                                                                     
##         Cafe-Coffee_Shop,                                                            
##         Cafeteria,                                                                   
##         Fast_Food,                                                                   
##         Pizzeria}         => {American}         0.06122449  1.0000000  4.454545     3
## [1072] {American,                                                                    
##         Cafe-Coffee_Shop,                                                            
##         Cafeteria,                                                                   
##         Fast_Food,                                                                   
##         Pizzeria}         => {Burgers}          0.06122449  1.0000000  8.166667     3
## [1073] {American,                                                                    
##         Burgers,                                                                     
##         Cafe-Coffee_Shop,                                                            
##         Cafeteria,                                                                   
##         Fast_Food}        => {Pizzeria}         0.06122449  1.0000000  5.444444     3
## [1074] {American,                                                                    
##         Burgers,                                                                     
##         Cafe-Coffee_Shop,                                                            
##         Cafeteria,                                                                   
##         Pizzeria}         => {Fast_Food}        0.06122449  1.0000000  9.800000     3
## [1075] {American,                                                                    
##         Cafeteria,                                                                   
##         Fast_Food,                                                                   
##         Hot_Dogs,                                                                    
##         Pizzeria}         => {Cafe-Coffee_Shop} 0.06122449  1.0000000  6.125000     3
## [1076] {American,                                                                    
##         Cafe-Coffee_Shop,                                                            
##         Fast_Food,                                                                   
##         Hot_Dogs,                                                                    
##         Pizzeria}         => {Cafeteria}        0.06122449  1.0000000  5.444444     3
## [1077] {Cafe-Coffee_Shop,                                                            
##         Cafeteria,                                                                   
##         Fast_Food,                                                                   
##         Hot_Dogs,                                                                    
##         Pizzeria}         => {American}         0.06122449  1.0000000  4.454545     3
## [1078] {American,                                                                    
##         Cafe-Coffee_Shop,                                                            
##         Cafeteria,                                                                   
##         Fast_Food,                                                                   
##         Pizzeria}         => {Hot_Dogs}         0.06122449  1.0000000  8.166667     3
## [1079] {American,                                                                    
##         Cafe-Coffee_Shop,                                                            
##         Cafeteria,                                                                   
##         Fast_Food,                                                                   
##         Hot_Dogs}         => {Pizzeria}         0.06122449  1.0000000  5.444444     3
## [1080] {American,                                                                    
##         Cafe-Coffee_Shop,                                                            
##         Cafeteria,                                                                   
##         Hot_Dogs,                                                                    
##         Pizzeria}         => {Fast_Food}        0.06122449  1.0000000  9.800000     3
## [1081] {American,                                                                    
##         Burgers,                                                                     
##         Cafeteria,                                                                   
##         Fast_Food,                                                                   
##         Hot_Dogs}         => {Cafe-Coffee_Shop} 0.06122449  1.0000000  6.125000     3
## [1082] {American,                                                                    
##         Burgers,                                                                     
##         Cafe-Coffee_Shop,                                                            
##         Fast_Food,                                                                   
##         Hot_Dogs}         => {Cafeteria}        0.06122449  1.0000000  5.444444     3
## [1083] {Burgers,                                                                     
##         Cafe-Coffee_Shop,                                                            
##         Cafeteria,                                                                   
##         Fast_Food,                                                                   
##         Hot_Dogs}         => {American}         0.06122449  1.0000000  4.454545     3
## [1084] {American,                                                                    
##         Burgers,                                                                     
##         Cafe-Coffee_Shop,                                                            
##         Cafeteria,                                                                   
##         Fast_Food}        => {Hot_Dogs}         0.06122449  1.0000000  8.166667     3
## [1085] {American,                                                                    
##         Cafe-Coffee_Shop,                                                            
##         Cafeteria,                                                                   
##         Fast_Food,                                                                   
##         Hot_Dogs}         => {Burgers}          0.06122449  1.0000000  8.166667     3
## [1086] {American,                                                                    
##         Burgers,                                                                     
##         Cafe-Coffee_Shop,                                                            
##         Cafeteria,                                                                   
##         Hot_Dogs}         => {Fast_Food}        0.06122449  1.0000000  9.800000     3
## [1087] {Burgers,                                                                     
##         Chinese,                                                                     
##         Family,                                                                      
##         Hot_Dogs,                                                                    
##         Latin_American}   => {Cafeteria}        0.06122449  1.0000000  5.444444     3
## [1088] {Burgers,                                                                     
##         Cafeteria,                                                                   
##         Chinese,                                                                     
##         Family,                                                                      
##         Latin_American}   => {Hot_Dogs}         0.06122449  1.0000000  8.166667     3
## [1089] {Cafeteria,                                                                   
##         Chinese,                                                                     
##         Family,                                                                      
##         Hot_Dogs,                                                                    
##         Latin_American}   => {Burgers}          0.06122449  1.0000000  8.166667     3
## [1090] {Burgers,                                                                     
##         Cafeteria,                                                                   
##         Chinese,                                                                     
##         Family,                                                                      
##         Hot_Dogs}         => {Latin_American}   0.06122449  1.0000000  8.166667     3
## [1091] {Burgers,                                                                     
##         Cafeteria,                                                                   
##         Chinese,                                                                     
##         Hot_Dogs,                                                                    
##         Latin_American}   => {Family}           0.06122449  1.0000000  6.125000     3
## [1092] {Burgers,                                                                     
##         Cafeteria,                                                                   
##         Family,                                                                      
##         Hot_Dogs,                                                                    
##         Latin_American}   => {Chinese}          0.06122449  1.0000000  8.166667     3
## [1093] {Burgers,                                                                     
##         Chinese,                                                                     
##         Family,                                                                      
##         Hot_Dogs,                                                                    
##         Latin_American}   => {Cafe-Coffee_Shop} 0.06122449  1.0000000  6.125000     3
## [1094] {Burgers,                                                                     
##         Cafe-Coffee_Shop,                                                            
##         Chinese,                                                                     
##         Family,                                                                      
##         Latin_American}   => {Hot_Dogs}         0.06122449  1.0000000  8.166667     3
## [1095] {Cafe-Coffee_Shop,                                                            
##         Chinese,                                                                     
##         Family,                                                                      
##         Hot_Dogs,                                                                    
##         Latin_American}   => {Burgers}          0.06122449  1.0000000  8.166667     3
## [1096] {Burgers,                                                                     
##         Cafe-Coffee_Shop,                                                            
##         Chinese,                                                                     
##         Family,                                                                      
##         Hot_Dogs}         => {Latin_American}   0.06122449  1.0000000  8.166667     3
## [1097] {Burgers,                                                                     
##         Cafe-Coffee_Shop,                                                            
##         Chinese,                                                                     
##         Hot_Dogs,                                                                    
##         Latin_American}   => {Family}           0.06122449  1.0000000  6.125000     3
## [1098] {Burgers,                                                                     
##         Cafe-Coffee_Shop,                                                            
##         Family,                                                                      
##         Hot_Dogs,                                                                    
##         Latin_American}   => {Chinese}          0.06122449  1.0000000  8.166667     3
## [1099] {Burgers,                                                                     
##         Cafeteria,                                                                   
##         Chinese,                                                                     
##         Family,                                                                      
##         Latin_American}   => {Cafe-Coffee_Shop} 0.06122449  1.0000000  6.125000     3
## [1100] {Burgers,                                                                     
##         Cafe-Coffee_Shop,                                                            
##         Chinese,                                                                     
##         Family,                                                                      
##         Latin_American}   => {Cafeteria}        0.06122449  1.0000000  5.444444     3
## [1101] {Cafe-Coffee_Shop,                                                            
##         Cafeteria,                                                                   
##         Chinese,                                                                     
##         Family,                                                                      
##         Latin_American}   => {Burgers}          0.06122449  1.0000000  8.166667     3
## [1102] {Burgers,                                                                     
##         Cafe-Coffee_Shop,                                                            
##         Cafeteria,                                                                   
##         Chinese,                                                                     
##         Family}           => {Latin_American}   0.06122449  1.0000000  8.166667     3
## [1103] {Burgers,                                                                     
##         Cafe-Coffee_Shop,                                                            
##         Cafeteria,                                                                   
##         Chinese,                                                                     
##         Latin_American}   => {Family}           0.06122449  1.0000000  6.125000     3
## [1104] {Burgers,                                                                     
##         Cafe-Coffee_Shop,                                                            
##         Cafeteria,                                                                   
##         Family,                                                                      
##         Latin_American}   => {Chinese}          0.06122449  1.0000000  8.166667     3
## [1105] {Cafeteria,                                                                   
##         Chinese,                                                                     
##         Family,                                                                      
##         Hot_Dogs,                                                                    
##         Latin_American}   => {Cafe-Coffee_Shop} 0.06122449  1.0000000  6.125000     3
## [1106] {Cafe-Coffee_Shop,                                                            
##         Chinese,                                                                     
##         Family,                                                                      
##         Hot_Dogs,                                                                    
##         Latin_American}   => {Cafeteria}        0.06122449  1.0000000  5.444444     3
## [1107] {Cafe-Coffee_Shop,                                                            
##         Cafeteria,                                                                   
##         Chinese,                                                                     
##         Family,                                                                      
##         Latin_American}   => {Hot_Dogs}         0.06122449  1.0000000  8.166667     3
## [1108] {Cafe-Coffee_Shop,                                                            
##         Cafeteria,                                                                   
##         Chinese,                                                                     
##         Family,                                                                      
##         Hot_Dogs}         => {Latin_American}   0.06122449  1.0000000  8.166667     3
## [1109] {Cafe-Coffee_Shop,                                                            
##         Cafeteria,                                                                   
##         Chinese,                                                                     
##         Hot_Dogs,                                                                    
##         Latin_American}   => {Family}           0.06122449  1.0000000  6.125000     3
## [1110] {Cafe-Coffee_Shop,                                                            
##         Cafeteria,                                                                   
##         Family,                                                                      
##         Hot_Dogs,                                                                    
##         Latin_American}   => {Chinese}          0.06122449  1.0000000  8.166667     3
## [1111] {Burgers,                                                                     
##         Cafeteria,                                                                   
##         Chinese,                                                                     
##         Family,                                                                      
##         Hot_Dogs}         => {Cafe-Coffee_Shop} 0.06122449  1.0000000  6.125000     3
## [1112] {Burgers,                                                                     
##         Cafe-Coffee_Shop,                                                            
##         Chinese,                                                                     
##         Family,                                                                      
##         Hot_Dogs}         => {Cafeteria}        0.06122449  1.0000000  5.444444     3
## [1113] {Burgers,                                                                     
##         Cafe-Coffee_Shop,                                                            
##         Cafeteria,                                                                   
##         Chinese,                                                                     
##         Family}           => {Hot_Dogs}         0.06122449  1.0000000  8.166667     3
## [1114] {Cafe-Coffee_Shop,                                                            
##         Cafeteria,                                                                   
##         Chinese,                                                                     
##         Family,                                                                      
##         Hot_Dogs}         => {Burgers}          0.06122449  1.0000000  8.166667     3
## [1115] {Burgers,                                                                     
##         Cafe-Coffee_Shop,                                                            
##         Cafeteria,                                                                   
##         Chinese,                                                                     
##         Hot_Dogs}         => {Family}           0.06122449  1.0000000  6.125000     3
## [1116] {Burgers,                                                                     
##         Cafe-Coffee_Shop,                                                            
##         Cafeteria,                                                                   
##         Family,                                                                      
##         Hot_Dogs}         => {Chinese}          0.06122449  1.0000000  8.166667     3
## [1117] {Burgers,                                                                     
##         Cafeteria,                                                                   
##         Chinese,                                                                     
##         Hot_Dogs,                                                                    
##         Latin_American}   => {Cafe-Coffee_Shop} 0.06122449  1.0000000  6.125000     3
## [1118] {Burgers,                                                                     
##         Cafe-Coffee_Shop,                                                            
##         Chinese,                                                                     
##         Hot_Dogs,                                                                    
##         Latin_American}   => {Cafeteria}        0.06122449  1.0000000  5.444444     3
## [1119] {Burgers,                                                                     
##         Cafe-Coffee_Shop,                                                            
##         Cafeteria,                                                                   
##         Chinese,                                                                     
##         Latin_American}   => {Hot_Dogs}         0.06122449  1.0000000  8.166667     3
## [1120] {Cafe-Coffee_Shop,                                                            
##         Cafeteria,                                                                   
##         Chinese,                                                                     
##         Hot_Dogs,                                                                    
##         Latin_American}   => {Burgers}          0.06122449  1.0000000  8.166667     3
## [1121] {Burgers,                                                                     
##         Cafe-Coffee_Shop,                                                            
##         Cafeteria,                                                                   
##         Chinese,                                                                     
##         Hot_Dogs}         => {Latin_American}   0.06122449  1.0000000  8.166667     3
## [1122] {Burgers,                                                                     
##         Cafe-Coffee_Shop,                                                            
##         Cafeteria,                                                                   
##         Hot_Dogs,                                                                    
##         Latin_American}   => {Chinese}          0.06122449  1.0000000  8.166667     3
## [1123] {American,                                                                    
##         Burgers,                                                                     
##         Cafeteria,                                                                   
##         Hot_Dogs,                                                                    
##         Pizzeria}         => {Cafe-Coffee_Shop} 0.06122449  1.0000000  6.125000     3
## [1124] {American,                                                                    
##         Burgers,                                                                     
##         Cafe-Coffee_Shop,                                                            
##         Hot_Dogs,                                                                    
##         Pizzeria}         => {Cafeteria}        0.06122449  1.0000000  5.444444     3
## [1125] {Burgers,                                                                     
##         Cafe-Coffee_Shop,                                                            
##         Cafeteria,                                                                   
##         Hot_Dogs,                                                                    
##         Pizzeria}         => {American}         0.06122449  1.0000000  4.454545     3
## [1126] {American,                                                                    
##         Burgers,                                                                     
##         Cafe-Coffee_Shop,                                                            
##         Cafeteria,                                                                   
##         Pizzeria}         => {Hot_Dogs}         0.06122449  1.0000000  8.166667     3
## [1127] {American,                                                                    
##         Cafe-Coffee_Shop,                                                            
##         Cafeteria,                                                                   
##         Hot_Dogs,                                                                    
##         Pizzeria}         => {Burgers}          0.06122449  1.0000000  8.166667     3
## [1128] {American,                                                                    
##         Burgers,                                                                     
##         Cafe-Coffee_Shop,                                                            
##         Cafeteria,                                                                   
##         Hot_Dogs}         => {Pizzeria}         0.06122449  1.0000000  5.444444     3
## [1129] {Burgers,                                                                     
##         Cafeteria,                                                                   
##         Family,                                                                      
##         Hot_Dogs,                                                                    
##         Latin_American}   => {Cafe-Coffee_Shop} 0.06122449  1.0000000  6.125000     3
## [1130] {Burgers,                                                                     
##         Cafe-Coffee_Shop,                                                            
##         Family,                                                                      
##         Hot_Dogs,                                                                    
##         Latin_American}   => {Cafeteria}        0.06122449  1.0000000  5.444444     3
## [1131] {Burgers,                                                                     
##         Cafe-Coffee_Shop,                                                            
##         Cafeteria,                                                                   
##         Family,                                                                      
##         Latin_American}   => {Hot_Dogs}         0.06122449  1.0000000  8.166667     3
## [1132] {Cafe-Coffee_Shop,                                                            
##         Cafeteria,                                                                   
##         Family,                                                                      
##         Hot_Dogs,                                                                    
##         Latin_American}   => {Burgers}          0.06122449  1.0000000  8.166667     3
## [1133] {Burgers,                                                                     
##         Cafe-Coffee_Shop,                                                            
##         Cafeteria,                                                                   
##         Family,                                                                      
##         Hot_Dogs}         => {Latin_American}   0.06122449  1.0000000  8.166667     3
## [1134] {Burgers,                                                                     
##         Cafe-Coffee_Shop,                                                            
##         Cafeteria,                                                                   
##         Hot_Dogs,                                                                    
##         Latin_American}   => {Family}           0.06122449  1.0000000  6.125000     3
## [1135] {American,                                                                    
##         Burgers,                                                                     
##         Cafeteria,                                                                   
##         Fast_Food,                                                                   
##         Hot_Dogs,                                                                    
##         Pizzeria}         => {Cafe-Coffee_Shop} 0.06122449  1.0000000  6.125000     3
## [1136] {American,                                                                    
##         Burgers,                                                                     
##         Cafe-Coffee_Shop,                                                            
##         Fast_Food,                                                                   
##         Hot_Dogs,                                                                    
##         Pizzeria}         => {Cafeteria}        0.06122449  1.0000000  5.444444     3
## [1137] {Burgers,                                                                     
##         Cafe-Coffee_Shop,                                                            
##         Cafeteria,                                                                   
##         Fast_Food,                                                                   
##         Hot_Dogs,                                                                    
##         Pizzeria}         => {American}         0.06122449  1.0000000  4.454545     3
## [1138] {American,                                                                    
##         Burgers,                                                                     
##         Cafe-Coffee_Shop,                                                            
##         Cafeteria,                                                                   
##         Fast_Food,                                                                   
##         Pizzeria}         => {Hot_Dogs}         0.06122449  1.0000000  8.166667     3
## [1139] {American,                                                                    
##         Cafe-Coffee_Shop,                                                            
##         Cafeteria,                                                                   
##         Fast_Food,                                                                   
##         Hot_Dogs,                                                                    
##         Pizzeria}         => {Burgers}          0.06122449  1.0000000  8.166667     3
## [1140] {American,                                                                    
##         Burgers,                                                                     
##         Cafe-Coffee_Shop,                                                            
##         Cafeteria,                                                                   
##         Fast_Food,                                                                   
##         Hot_Dogs}         => {Pizzeria}         0.06122449  1.0000000  5.444444     3
## [1141] {American,                                                                    
##         Burgers,                                                                     
##         Cafe-Coffee_Shop,                                                            
##         Cafeteria,                                                                   
##         Hot_Dogs,                                                                    
##         Pizzeria}         => {Fast_Food}        0.06122449  1.0000000  9.800000     3
## [1142] {Burgers,                                                                     
##         Cafeteria,                                                                   
##         Chinese,                                                                     
##         Family,                                                                      
##         Hot_Dogs,                                                                    
##         Latin_American}   => {Cafe-Coffee_Shop} 0.06122449  1.0000000  6.125000     3
## [1143] {Burgers,                                                                     
##         Cafe-Coffee_Shop,                                                            
##         Chinese,                                                                     
##         Family,                                                                      
##         Hot_Dogs,                                                                    
##         Latin_American}   => {Cafeteria}        0.06122449  1.0000000  5.444444     3
## [1144] {Burgers,                                                                     
##         Cafe-Coffee_Shop,                                                            
##         Cafeteria,                                                                   
##         Chinese,                                                                     
##         Family,                                                                      
##         Latin_American}   => {Hot_Dogs}         0.06122449  1.0000000  8.166667     3
## [1145] {Cafe-Coffee_Shop,                                                            
##         Cafeteria,                                                                   
##         Chinese,                                                                     
##         Family,                                                                      
##         Hot_Dogs,                                                                    
##         Latin_American}   => {Burgers}          0.06122449  1.0000000  8.166667     3
## [1146] {Burgers,                                                                     
##         Cafe-Coffee_Shop,                                                            
##         Cafeteria,                                                                   
##         Chinese,                                                                     
##         Family,                                                                      
##         Hot_Dogs}         => {Latin_American}   0.06122449  1.0000000  8.166667     3
## [1147] {Burgers,                                                                     
##         Cafe-Coffee_Shop,                                                            
##         Cafeteria,                                                                   
##         Chinese,                                                                     
##         Hot_Dogs,                                                                    
##         Latin_American}   => {Family}           0.06122449  1.0000000  6.125000     3
## [1148] {Burgers,                                                                     
##         Cafe-Coffee_Shop,                                                            
##         Cafeteria,                                                                   
##         Family,                                                                      
##         Hot_Dogs,                                                                    
##         Latin_American}   => {Chinese}          0.06122449  1.0000000  8.166667     3

We will sort the list by lift level and only show rules with a support greater than .09 in order to narrow down the list.

inspect(sort(subset(cuisinerules, subset=support > .09), by="lift")) 
##      lhs                             rhs                support  
## [1]  {Cafe-Coffee_Shop,Cafeteria} => {Hot_Dogs}         0.1020408
## [2]  {Hot_Dogs}                   => {Cafeteria}        0.1224490
## [3]  {Cafe-Coffee_Shop,Hot_Dogs}  => {Cafeteria}        0.1020408
## [4]  {Cafeteria}                  => {Hot_Dogs}         0.1224490
## [5]  {Hot_Dogs}                   => {Cafe-Coffee_Shop} 0.1020408
## [6]  {Cafe-Coffee_Shop}           => {Hot_Dogs}         0.1020408
## [7]  {Cafeteria,Hot_Dogs}         => {Cafe-Coffee_Shop} 0.1020408
## [8]  {Cafeteria}                  => {Cafe-Coffee_Shop} 0.1428571
## [9]  {Cafe-Coffee_Shop}           => {Cafeteria}        0.1428571
## [10] {Cafe-Coffee_Shop}           => {American}         0.1020408
##      confidence lift     count
## [1]  0.7142857  5.833333 5    
## [2]  1.0000000  5.444444 6    
## [3]  1.0000000  5.444444 5    
## [4]  0.6666667  5.444444 6    
## [5]  0.8333333  5.104167 5    
## [6]  0.6250000  5.104167 5    
## [7]  0.8333333  5.104167 5    
## [8]  0.7777778  4.763889 7    
## [9]  0.8750000  4.763889 7    
## [10] 0.6250000  2.784091 5

From these rules, there is only one that predicts American cuisine (rule 10). Therefore, I will focus on this rule in my further analysis.

Further Analysis: Trees

The rule that we found was that, if someone visits a cafe or coffee shop, there will most likely visit American restuarants. When looking at the total rows that only went to American and Cafe cuisine, there were only about 300 rows. That is not enough to do an in-depth analysis. Therefore, I will add in Hot Dogs and Cafeteria cuisines because American foods are closely tied with those as well. I chose to focus on the overall rating and not the food rating because, when people look at reviews, they often pay attention to the aggregate review first. I will also get rid of the UserID because it is not necessary for this portion.

rrc<-read.csv("RestaurantRatersACCH.csv")
set.seed(1)
library(car)
## Warning: package 'car' was built under R version 3.4.3
## 
## Attaching package: 'car'
## The following object is masked from 'package:arules':
## 
##     recode
summary(rrc)
##      userID            drink_level       dress_preference     ambience  
##  U1108  :120   abstemious    :206   formal       :104     family  :164  
##  U1135  : 56   casual drinker:181   informal     :254     friends :100  
##  U1008  : 36   social drinker: 44   no preference: 73     solitary:167  
##  U1004  : 32                                                            
##  U1101  : 30                                                            
##  U1016  : 26                                                            
##  (Other):131                                                            
##      transport   marital_status         hijos       birth_year  
##  car owner: 50   single:420     independent:342   Min.   :1940  
##  on foot  :113   widow : 11     kids       : 89   1st Qu.:1983  
##  public   :268                                    Median :1988  
##                                                   Mean   :1984  
##                                                   3rd Qu.:1989  
##                                                   Max.   :1992  
##                                                                 
##          interest                personality       religion  
##  eco-friendly: 65   hard-worker        : 87   Catholic :362  
##  none        : 20   hunter-ostentatious:108   Christian:  8  
##  retro       :  3   thrifty-protector  :236   none     : 61  
##  technology  :194                                            
##  variety     :149                                            
##                                                              
##                                                              
##          activity       weight          budget        rating     
##  professional: 32   Min.   : 40.00   low   :153   Min.   :0.000  
##  student     :388   1st Qu.: 66.00   medium:278   1st Qu.:0.000  
##  unemployed  : 11   Median : 69.00                Median :1.000  
##                     Mean   : 67.95                Mean   :1.084  
##                     3rd Qu.: 76.00                3rd Qu.:2.000  
##                     Max.   :118.00                Max.   :2.000  
##                                                                  
##   food_rating    service_rating               Rcuisine  
##  Min.   :0.000   Min.   :0.0000   American        :133  
##  1st Qu.:0.000   1st Qu.:0.0000   Cafe-Coffee_Shop:107  
##  Median :1.000   Median :1.0000   Cafeteria       :113  
##  Mean   :1.107   Mean   :0.9234   Hot_Dogs        : 78  
##  3rd Qu.:2.000   3rd Qu.:2.0000                         
##  Max.   :2.000   Max.   :2.0000                         
##                                                         
##                 Upayment  
##  bank_debit_cards   : 16  
##  cash               :324  
##  MasterCard-Eurocard: 40  
##  VISA               : 51  
##                           
##                           
## 
rrc=rrc[-1]
rrc=rrc[-15]
rrc=rrc[-15]

Now I will plot the the data against their reviews on box plots.

par(mfrow=c(3,3), mai=c(.3,.6,.1,.1))##mfrow puts plots into three rows and three columns
plot(drink_level ~ rating, data=rrc, col=c(grey(.2),2:6))
plot(dress_preference ~ rating, data=rrc, col=c(grey(.2),2:6))
plot(ambience ~ rating, data=rrc, col=c(grey(.2),2:6))
plot(marital_status ~ rating, data=rrc, col=c(grey(.2),2:6))
plot(hijos ~ rating, data=rrc, col=c(grey(.2),2:6))
plot(interest ~ rating, data=rrc, col=c(grey(.2),2:6))
plot(personality ~ rating, data=rrc, col=c(grey(.2),2:6))
plot(activity ~ rating, data=rrc, col=c(grey(.2),2:6))
plot(budget ~ rating, data=rrc, col=c(grey(.2),2:6))

Some things of note in these charts are the fact that there are no married people in the data and no high-income people. Next, we will create the first tree diagram.

library(tree)
length(rrc$rating)
## [1] 431
rrctree <- tree(rating ~., data=rrc, mindev=0.1, mincut=1)
rrctree <- tree(rating ~., data=rrc, mincut=1)
rrctree
## node), split, n, deviance, yval
##       * denotes terminal node
## 
##  1) root 431 261.000 1.0840  
##    2) hijos: independent 342 158.600 1.2780  
##      4) dress_preference: formal,no preference 155  81.770 0.9613  
##        8) interest: retro,variety 33   0.000 0.0000 *
##        9) interest: eco-friendly,none,technology 122  43.020 1.2210  
##         18) weight < 75.5 106  34.880 1.1420 *
##         19) weight > 75.5 16   3.000 1.7500 *
##      5) dress_preference: informal 187  48.450 1.5400  
##       10) ambience: solitary 120  28.800 1.4000 *
##       11) ambience: family,friends 67  13.070 1.7910 *
##    3) hijos: kids 89  39.890 0.3371  
##      6) dress_preference: formal 22   9.091 1.3640 *
##      7) dress_preference: informal 67   0.000 0.0000 *
dev.off()
## null device 
##           1
plot(rrctree, col=8)
text(rrctree, digits=2)

In this case, it is better to look at the rrctree code because many of the variables have more than 2 categorical options. For example, the interest variable has five different categories and it is not clear which interests are on which sides of the the node.

Next I will prune the tree to see if the error can be reduced. I will start with an alpha value of 1.

rrccut <- prune.tree(rrctree,k=1)
plot(rrccut)
text(rrccut, digits=2)

rrccut
## node), split, n, deviance, yval
##       * denotes terminal node
## 
##  1) root 431 261.000 1.0840  
##    2) hijos: independent 342 158.600 1.2780  
##      4) dress_preference: formal,no preference 155  81.770 0.9613  
##        8) interest: retro,variety 33   0.000 0.0000 *
##        9) interest: eco-friendly,none,technology 122  43.020 1.2210  
##         18) weight < 75.5 106  34.880 1.1420 *
##         19) weight > 75.5 16   3.000 1.7500 *
##      5) dress_preference: informal 187  48.450 1.5400  
##       10) ambience: solitary 120  28.800 1.4000 *
##       11) ambience: family,friends 67  13.070 1.7910 *
##    3) hijos: kids 89  39.890 0.3371  
##      6) dress_preference: formal 22   9.091 1.3640 *
##      7) dress_preference: informal 67   0.000 0.0000 *

There was no difference between this tree and the original. Therefore, I will increase the value to 3.

rrccut <- prune.tree(rrctree,k=3)
plot(rrccut)
text(rrccut, digits=2)

rrccut
## node), split, n, deviance, yval
##       * denotes terminal node
## 
##  1) root 431 261.000 1.0840  
##    2) hijos: independent 342 158.600 1.2780  
##      4) dress_preference: formal,no preference 155  81.770 0.9613  
##        8) interest: retro,variety 33   0.000 0.0000 *
##        9) interest: eco-friendly,none,technology 122  43.020 1.2210  
##         18) weight < 75.5 106  34.880 1.1420 *
##         19) weight > 75.5 16   3.000 1.7500 *
##      5) dress_preference: informal 187  48.450 1.5400  
##       10) ambience: solitary 120  28.800 1.4000 *
##       11) ambience: family,friends 67  13.070 1.7910 *
##    3) hijos: kids 89  39.890 0.3371  
##      6) dress_preference: formal 22   9.091 1.3640 *
##      7) dress_preference: informal 67   0.000 0.0000 *

Again, there was no change in the tree. Therefore, I will construct a graph to show which alpha values lower the deviance rate.

rrccut <- prune.tree(rrctree)
rrccut
## $size
## [1] 7 6 5 4 2 1
## 
## $dev
## [1]  88.84289  93.99013 100.56470 131.36143 198.49875 260.99304
## 
## $k
## [1]      -Inf  5.147232  6.574571 30.796731 33.568662 62.494288
## 
## $method
## [1] "deviance"
## 
## attr(,"class")
## [1] "prune"         "tree.sequence"
plot(rrccut)

Based on this graph, the best alpha value is between 4 and 5. However, there is not a large drop when the value is raised to 5 so 4 would be the best alpha value.

rrcbest <- prune.tree(rrctree,best=4)
rrcbest
## node), split, n, deviance, yval
##       * denotes terminal node
## 
## 1) root 431 261.00 1.0840  
##   2) hijos: independent 342 158.60 1.2780  
##     4) dress_preference: formal,no preference 155  81.77 0.9613  
##       8) interest: retro,variety 33   0.00 0.0000 *
##       9) interest: eco-friendly,none,technology 122  43.02 1.2210 *
##     5) dress_preference: informal 187  48.45 1.5400 *
##   3) hijos: kids 89  39.89 0.3371 *
plot(rrcbest)
text(rrcbest, digits=2)

This is the tree that has an alpha value of 4. This is the most efficient tree. From this tree, it can be determined that those with kids are more likely to give Cafes, American, Hot-Dog, and Cafeteria restaurants a rating close to 0. In addition, those that have no children and prefer informal restaurants are more likely to give a higher review. Overall, the factors that affect reviewers are their children, dress preference, and interests. Based on this information, an American restaurant should not stress a formal dress code and should focus on customers who do not have children; that will be their main audience.