# Load the dataset
data <- readr::read_csv("C:/Users/Mahika/OneDrive - University of Cincinnati/BANA 4080/data/customer_retention.csv")
## Rows: 6999 Columns: 20
## ── Column specification ────────────────────────────────────────────────────────
## Delimiter: ","
## chr (16): Gender, Partner, Dependents, PhoneService, MultipleLines, Internet...
## dbl (4): SeniorCitizen, Tenure, MonthlyCharges, TotalCharges
##
## ℹ Use `spec()` to retrieve the full column specification for this data.
## ℹ Specify the column types or set `show_col_types = FALSE` to quiet this message.
# View initial structure and summary
str(data)
## spc_tbl_ [6,999 × 20] (S3: spec_tbl_df/tbl_df/tbl/data.frame)
## $ Gender : chr [1:6999] "Female" "Male" "Male" "Male" ...
## $ SeniorCitizen : num [1:6999] 0 0 0 0 0 0 0 0 0 0 ...
## $ Partner : chr [1:6999] "Yes" "No" "No" "No" ...
## $ Dependents : chr [1:6999] "No" "No" "No" "No" ...
## $ Tenure : num [1:6999] 1 34 2 45 2 8 22 10 28 62 ...
## $ PhoneService : chr [1:6999] "No" "Yes" "Yes" "No" ...
## $ MultipleLines : chr [1:6999] "No phone service" "No" "No" "No phone service" ...
## $ InternetService : chr [1:6999] "DSL" "DSL" "DSL" "DSL" ...
## $ OnlineSecurity : chr [1:6999] "No" "Yes" "Yes" "Yes" ...
## $ OnlineBackup : chr [1:6999] "Yes" "No" "Yes" "No" ...
## $ DeviceProtection: chr [1:6999] "No" "Yes" "No" "Yes" ...
## $ TechSupport : chr [1:6999] "No" "No" "No" "Yes" ...
## $ StreamingTV : chr [1:6999] "No" "No" "No" "No" ...
## $ StreamingMovies : chr [1:6999] "No" "No" "No" "No" ...
## $ Contract : chr [1:6999] "Month-to-month" "One year" "Month-to-month" "One year" ...
## $ PaperlessBilling: chr [1:6999] "Yes" "No" "Yes" "No" ...
## $ PaymentMethod : chr [1:6999] "Electronic check" "Mailed check" "Mailed check" "Bank transfer (automatic)" ...
## $ MonthlyCharges : num [1:6999] 29.9 57 53.9 42.3 70.7 ...
## $ TotalCharges : num [1:6999] 29.9 1889.5 108.2 1840.8 151.7 ...
## $ Status : chr [1:6999] "Current" "Current" "Left" "Current" ...
## - attr(*, "spec")=
## .. cols(
## .. Gender = col_character(),
## .. SeniorCitizen = col_double(),
## .. Partner = col_character(),
## .. Dependents = col_character(),
## .. Tenure = col_double(),
## .. PhoneService = col_character(),
## .. MultipleLines = col_character(),
## .. InternetService = col_character(),
## .. OnlineSecurity = col_character(),
## .. OnlineBackup = col_character(),
## .. DeviceProtection = col_character(),
## .. TechSupport = col_character(),
## .. StreamingTV = col_character(),
## .. StreamingMovies = col_character(),
## .. Contract = col_character(),
## .. PaperlessBilling = col_character(),
## .. PaymentMethod = col_character(),
## .. MonthlyCharges = col_double(),
## .. TotalCharges = col_double(),
## .. Status = col_character()
## .. )
## - attr(*, "problems")=<externalptr>
summary(data)
## Gender SeniorCitizen Partner Dependents
## Length:6999 Min. :0.0000 Length:6999 Length:6999
## Class :character 1st Qu.:0.0000 Class :character Class :character
## Mode :character Median :0.0000 Mode :character Mode :character
## Mean :0.1619
## 3rd Qu.:0.0000
## Max. :1.0000
##
## Tenure PhoneService MultipleLines InternetService
## Min. : 0.00 Length:6999 Length:6999 Length:6999
## 1st Qu.: 9.00 Class :character Class :character Class :character
## Median :29.00 Mode :character Mode :character Mode :character
## Mean :32.38
## 3rd Qu.:55.00
## Max. :72.00
##
## OnlineSecurity OnlineBackup DeviceProtection TechSupport
## Length:6999 Length:6999 Length:6999 Length:6999
## Class :character Class :character Class :character Class :character
## Mode :character Mode :character Mode :character Mode :character
##
##
##
##
## StreamingTV StreamingMovies Contract PaperlessBilling
## Length:6999 Length:6999 Length:6999 Length:6999
## Class :character Class :character Class :character Class :character
## Mode :character Mode :character Mode :character Mode :character
##
##
##
##
## PaymentMethod MonthlyCharges TotalCharges Status
## Length:6999 Min. : 18.25 Min. : 18.8 Length:6999
## Class :character 1st Qu.: 35.48 1st Qu.: 401.9 Class :character
## Mode :character Median : 70.35 Median :1397.5 Mode :character
## Mean : 64.75 Mean :2283.1
## 3rd Qu.: 89.85 3rd Qu.:3796.9
## Max. :118.75 Max. :8684.8
## NA's :11
# Step 1: Handle Missing Values
# Check for missing values
colSums(is.na(data))
## Gender SeniorCitizen Partner Dependents
## 0 0 0 0
## Tenure PhoneService MultipleLines InternetService
## 0 0 0 0
## OnlineSecurity OnlineBackup DeviceProtection TechSupport
## 0 0 0 0
## StreamingTV StreamingMovies Contract PaperlessBilling
## 0 0 0 0
## PaymentMethod MonthlyCharges TotalCharges Status
## 0 0 11 0
# Replace missing values in 'TotalCharges' with the median
data$TotalCharges <- as.numeric(data$TotalCharges) # Convert to numeric
data$TotalCharges[is.na(data$TotalCharges)] <- median(data$TotalCharges, na.rm = TRUE)
# Step 2: Check Data Consistency
# Ensure consistency in categorical variables
unique_values <- lapply(data, unique)
unique_values
## $Gender
## [1] "Female" "Male"
##
## $SeniorCitizen
## [1] 0 1
##
## $Partner
## [1] "Yes" "No"
##
## $Dependents
## [1] "No" "Yes"
##
## $Tenure
## [1] 1 34 2 45 8 22 10 28 62 13 16 58 49 25 69 52 71 21 12 30 47 72 17 27 5
## [26] 46 11 70 63 43 15 60 18 66 9 3 31 50 64 56 7 42 35 48 29 65 38 68 32 55
## [51] 37 36 41 6 4 33 67 23 57 61 14 20 53 40 59 24 44 19 54 51 26 0 39
##
## $PhoneService
## [1] "No" "Yes"
##
## $MultipleLines
## [1] "No phone service" "No" "Yes"
##
## $InternetService
## [1] "DSL" "Fiber optic" "No"
##
## $OnlineSecurity
## [1] "No" "Yes" "No internet service"
##
## $OnlineBackup
## [1] "Yes" "No" "No internet service"
##
## $DeviceProtection
## [1] "No" "Yes" "No internet service"
##
## $TechSupport
## [1] "No" "Yes" "No internet service"
##
## $StreamingTV
## [1] "No" "Yes" "No internet service"
##
## $StreamingMovies
## [1] "No" "Yes" "No internet service"
##
## $Contract
## [1] "Month-to-month" "One year" "Two year"
##
## $PaperlessBilling
## [1] "Yes" "No"
##
## $PaymentMethod
## [1] "Electronic check" "Mailed check"
## [3] "Bank transfer (automatic)" "Credit card (automatic)"
##
## $MonthlyCharges
## [1] 29.85 56.95 53.85 42.30 70.70 99.65 89.10 29.75 104.80 56.15
## [11] 49.95 18.95 100.35 103.70 105.50 113.25 20.65 106.70 55.20 90.05
## [21] 39.65 19.80 20.15 59.90 59.60 55.30 99.35 30.20 90.25 64.70
## [31] 96.35 95.50 66.15 20.20 45.25 99.90 69.70 74.80 106.35 97.85
## [41] 49.55 69.20 20.75 79.85 76.20 84.50 49.25 80.65 79.75 64.15
## [51] 99.10 69.50 74.85 95.45 108.45 24.95 107.50 100.50 89.90 42.10
## [61] 54.40 94.40 75.30 78.90 79.20 49.05 20.40 111.60 24.25 64.50
## [71] 110.50 55.65 54.65 74.75 25.90 79.35 50.55 75.15 103.80 99.30
## [81] 62.15 19.95 33.75 82.05 74.70 84.00 111.05 100.90 78.95 66.85
## [91] 21.05 21.00 98.50 19.45 95.00 45.55 110.00 24.30 104.15 30.15
## [101] 94.35 19.40 96.75 57.95 91.65 76.50 54.60 89.85 31.05 100.25
## [111] 85.20 99.80 20.70 74.40 50.70 20.85 88.95 78.05 23.55 19.75
## [121] 56.45 85.95 58.60 35.45 44.35 25.70 75.00 19.60 70.45 88.05
## [131] 71.15 101.05 84.30 23.95 99.05 45.65 68.55 108.15 86.10 19.70
## [141] 80.90 84.15 64.25 56.00 82.40 73.90 20.60 19.90 70.90 89.05
## [151] 45.30 84.25 104.40 81.95 94.85 20.55 24.70 74.45 76.45 105.35
## [161] 29.95 79.25 24.80 51.80 30.40 19.65 56.60 71.90 91.00 109.70
## [171] 19.30 96.55 24.10 111.35 112.25 101.90 80.05 105.55 78.30 68.85
## [181] 79.95 55.45 79.90 106.60 102.45 46.00 25.25 20.00 86.80 58.75
## [191] 84.20 80.00 70.15 24.75 50.05 19.35 50.60 81.15 85.30 108.00
## [201] 93.50 84.60 20.25 25.15 29.60 73.15 86.60 109.20 54.80 75.35
## [211] 65.00 48.55 99.00 70.40 40.20 83.70 19.85 59.55 115.10 114.35
## [221] 44.60 45.00 41.15 106.90 49.85 113.30 88.10 24.90 105.00 94.45
## [231] 59.75 107.05 70.60 85.40 105.05 64.95 55.00 55.15 51.20 25.40
## [241] 54.45 95.15 76.00 70.00 74.50 44.85 76.10 61.20 89.35 76.05
## [251] 100.80 74.55 73.60 64.90 90.40 60.30 81.85 74.90 75.55 101.15
## [261] 78.75 19.25 115.05 69.35 80.60 110.05 80.30 93.15 91.50 82.45
## [271] 60.00 44.80 48.60 60.05 102.70 82.90 70.35 35.90 82.65 19.20
## [281] 94.90 73.85 75.80 104.60 88.15 94.80 103.40 85.75 67.45 20.50
## [291] 72.10 44.95 97.00 62.80 89.15 84.80 41.90 80.25 54.10 105.25
## [301] 30.75 97.10 98.80 50.30 75.90 96.50 59.95 19.15 98.65 112.60
## [311] 85.65 35.75 99.75 96.10 85.10 25.35 104.95 89.65 86.75 86.20
## [321] 50.65 64.80 90.85 108.10 85.45 54.75 44.00 95.60 44.30 95.05
## [331] 109.90 73.95 20.05 99.45 55.90 95.40 93.95 81.35 24.45 74.95
## [341] 87.35 70.65 73.25 98.70 83.30 69.85 100.55 40.70 51.65 105.10
## [351] 75.60 58.25 65.20 53.45 45.40 44.45 114.05 55.05 112.95 101.55
## [361] 114.65 80.40 105.90 69.55 25.05 94.75 69.75 60.20 81.05 24.40
## [371] 92.90 80.80 75.10 69.45 116.05 40.05 102.10 89.70 55.95 70.05
## [381] 53.60 75.70 69.00 81.45 108.50 83.55 100.15 88.60 52.55 74.35
## [391] 59.00 64.05 43.75 60.90 28.45 99.70 116.25 80.70 84.05 79.45
## [401] 94.10 78.00 94.20 80.50 94.30 106.45 105.45 54.30 75.20 105.40
## [411] 51.60 85.50 100.05 91.25 115.75 94.70 21.10 107.15 85.00 89.55
## [421] 81.55 58.45 95.65 113.10 58.95 19.55 86.05 86.30 110.30 115.60
## [431] 25.60 80.35 68.75 70.20 49.30 107.25 23.60 99.50 64.30 70.85
## [441] 73.50 40.40 100.30 110.85 98.05 70.50 94.55 19.00 89.20 85.70
## [451] 63.25 20.10 99.15 111.90 83.50 45.60 61.65 54.85 65.55 90.35
## [461] 74.25 108.65 109.55 86.65 81.00 47.85 114.55 109.80 48.85 102.85
## [471] 87.55 78.55 34.55 92.05 85.05 111.65 110.75 20.35 54.55 104.55
## [481] 85.25 45.70 69.65 89.50 74.60 95.10 88.85 78.80 19.50 57.80
## [491] 25.55 75.05 24.85 49.15 110.35 24.55 34.70 107.95 81.40 73.80
## [501] 64.40 103.75 71.10 49.90 24.60 30.10 83.40 20.45 75.25 85.15
## [511] 50.15 84.95 66.50 63.30 83.15 84.90 104.65 80.10 86.00 50.35
## [521] 45.35 94.50 21.25 26.25 80.85 91.70 74.20 87.25 75.50 79.05
## [531] 90.15 110.45 101.00 80.45 98.55 44.05 110.80 114.95 56.70 80.15
## [541] 71.35 85.90 20.80 89.25 70.30 35.80 78.85 93.35 88.90 95.80
## [551] 110.65 40.30 82.00 107.00 73.35 52.20 40.60 60.85 78.40 59.85
## [561] 76.90 67.65 64.20 81.70 75.65 23.80 85.35 76.80 108.55 101.30
## [571] 103.25 104.00 111.20 88.00 79.15 103.10 63.95 25.80 89.45 90.95
## [581] 74.10 88.80 93.25 71.40 44.40 100.00 30.85 84.85 33.15 92.00
## [591] 89.80 115.80 64.35 50.80 89.00 93.40 73.65 94.65 39.00 85.55
## [601] 26.40 98.20 97.55 34.80 60.15 64.75 110.10 83.90 111.25 84.35
## [611] 91.20 89.30 103.85 81.10 81.20 116.10 98.90 98.30 93.85 105.60
## [621] 56.40 65.35 72.85 106.10 25.20 73.55 75.40 24.15 79.70 76.30
## [631] 79.40 86.45 33.60 83.25 108.05 65.50 104.10 91.35 55.10 44.70
## [641] 25.45 56.75 81.75 29.80 77.35 96.00 90.55 70.10 30.35 75.95
## [651] 69.90 54.95 23.75 43.80 24.35 26.10 95.35 95.85 90.10 68.95
## [661] 99.55 58.65 95.90 49.50 57.45 53.65 51.05 54.35 84.70 100.60
## [671] 83.75 88.30 71.60 92.10 23.65 25.10 114.70 90.45 54.25 74.00
## [681] 50.25 43.65 35.50 80.75 39.50 90.60 112.40 50.20 62.25 55.70
## [691] 54.00 96.65 24.50 114.50 98.85 25.75 80.95 74.30 87.65 100.45
## [701] 107.45 68.50 80.55 81.25 105.20 97.45 39.60 59.50 70.55 82.50
## [711] 61.60 105.65 74.65 66.25 104.05 65.15 56.80 35.55 35.60 60.25
## [721] 40.35 18.85 24.65 18.70 97.95 31.35 72.35 89.75 82.70 53.80
## [731] 51.55 114.00 100.40 101.35 49.80 53.75 93.45 87.90 61.05 99.25
## [741] 104.85 69.15 50.45 104.50 49.40 94.25 25.00 69.40 66.35 65.75
## [751] 69.25 45.85 100.85 87.20 105.85 76.95 96.15 58.70 28.50 105.15
## [761] 45.05 103.20 79.30 30.90 34.20 95.25 51.25 89.60 95.20 110.15
## [771] 115.55 88.20 99.40 60.70 20.95 114.85 68.80 84.45 44.75 57.60
## [781] 110.60 58.20 85.60 97.65 45.10 70.95 20.90 66.70 65.85 56.25
## [791] 35.40 56.05 54.70 73.05 100.75 49.65 65.65 60.95 88.35 111.45
## [801] 78.45 41.05 82.15 84.40 95.30 82.30 66.80 98.45 102.50 86.55
## [811] 58.35 85.80 73.00 82.85 35.00 23.30 25.30 44.55 92.55 101.45
## [821] 55.50 113.05 101.10 74.15 64.85 99.95 109.40 91.40 49.00 97.80
## [831] 55.80 111.15 48.80 106.05 108.30 49.20 73.75 92.30 88.65 98.75
## [841] 95.95 106.00 104.70 65.10 96.85 99.20 96.70 106.80 57.75 79.50
## [851] 98.15 55.35 102.15 88.45 76.65 68.60 92.60 42.60 43.55 109.85
## [861] 56.20 18.40 90.00 75.75 69.95 50.00 104.75 81.50 67.25 34.65
## [871] 67.80 111.40 46.30 60.65 98.60 71.70 36.00 48.95 53.50 109.05
## [881] 26.30 77.95 26.00 96.90 64.65 95.75 111.55 60.50 87.40 50.95
## [891] 59.45 29.05 97.20 98.25 59.20 102.60 29.45 87.10 84.65 79.10
## [901] 34.40 18.80 90.80 105.95 70.80 108.80 96.05 76.85 115.65 103.15
## [911] 113.60 45.75 58.85 114.45 35.65 69.10 82.75 55.25 61.35 76.75
## [921] 83.80 71.05 81.65 69.60 19.05 44.25 87.15 104.45 116.45 84.75
## [931] 89.95 48.70 96.60 54.90 115.15 58.55 113.20 90.50 79.00 48.75
## [941] 91.15 104.35 66.05 71.65 92.20 78.10 61.50 91.05 26.20 43.85
## [951] 38.55 53.10 64.45 76.35 98.35 51.35 20.30 54.20 90.65 50.90
## [961] 63.55 47.95 66.40 35.10 46.20 45.15 43.30 57.15 58.90 73.20
## [971] 45.95 50.50 93.80 114.10 88.55 44.65 60.40 72.65 31.10 43.95
## [981] 86.50 50.40 78.50 30.50 64.60 51.10 60.35 107.35 111.80 71.50
## [991] 25.50 91.85 75.45 34.25 78.60 93.55 90.70 90.90 29.20 93.30
## [1001] 108.85 46.35 67.85 45.20 47.15 80.20 61.80 86.25 95.70 116.85
## [1011] 105.75 77.40 96.80 47.60 83.35 92.95 76.40 59.10 55.85 84.10
## [1021] 93.20 33.65 39.70 29.50 79.55 94.05 90.75 59.40 61.90 118.65
## [1031] 75.85 42.35 48.15 86.15 72.90 50.10 102.65 31.20 91.30 21.20
## [1041] 63.85 61.95 85.85 104.90 111.30 99.85 108.95 39.10 34.60 59.70
## [1051] 78.35 71.45 35.70 93.05 65.60 52.70 52.15 113.65 86.85 91.55
## [1061] 109.15 48.20 71.55 93.90 108.40 47.80 97.70 63.70 104.30 73.45
## [1071] 89.40 83.05 102.05 26.80 114.90 106.40 46.10 67.40 72.75 39.20
## [1081] 117.15 112.55 90.30 61.25 26.05 29.65 105.30 59.25 30.25 93.00
## [1091] 96.25 33.55 39.90 82.95 59.80 61.40 103.35 59.65 77.15 35.25
## [1101] 98.40 100.70 60.45 96.40 91.45 97.75 62.70 107.20 113.40 40.55
## [1111] 111.95 70.75 76.15 26.90 84.55 45.45 93.70 108.25 94.60 65.25
## [1121] 88.40 107.65 109.60 34.50 68.35 51.00 86.40 113.00 40.65 94.95
## [1131] 33.50 81.80 55.55 59.30 66.10 52.10 47.40 79.65 100.65 116.75
## [1141] 38.90 87.95 19.10 60.60 25.65 53.95 29.35 44.90 92.65 43.70
## [1151] 72.60 106.65 72.95 77.20 41.35 67.60 115.00 63.15 29.10 98.10
## [1161] 108.90 109.65 100.95 36.65 103.90 24.05 26.35 61.15 48.25 99.60
## [1171] 63.80 101.40 63.75 109.25 91.10 22.95 87.00 102.95 64.00 71.00
## [1181] 26.45 63.40 63.90 43.35 92.35 103.05 116.00 40.25 24.00 92.85
## [1191] 31.00 113.75 109.30 70.25 69.05 33.90 34.00 38.60 34.05 43.25
## [1201] 48.35 69.30 49.35 108.60 30.30 103.30 38.10 68.65 45.80 105.70
## [1211] 53.30 77.85 87.05 79.80 74.05 25.95 107.90 38.85 30.60 109.10
## [1221] 72.80 101.75 64.10 46.25 100.20 48.90 81.30 36.45 79.60 117.60
## [1231] 65.80 77.30 71.95 56.30 29.90 49.45 106.55 54.50 106.75 62.10
## [1241] 101.80 87.45 68.25 57.20 88.50 117.20 103.45 109.95 106.30 62.05
## [1251] 44.15 53.90 44.10 90.20 50.85 83.20 57.50 94.15 55.60 68.40
## [1261] 107.60 61.55 53.40 87.80 83.00 92.15 69.80 107.75 71.30 60.80
## [1271] 35.35 61.45 83.85 45.90 51.30 106.15 77.80 83.45 46.60 104.25
## [1281] 109.50 112.10 68.05 96.20 23.40 43.90 50.75 51.70 65.40 40.00
## [1291] 40.75 103.95 73.70 87.30 72.25 71.25 113.80 81.90 111.50 30.55
## [1301] 54.15 108.75 102.00 18.25 35.05 106.50 58.50 109.45 29.15 110.90
## [1311] 77.75 56.35 109.75 49.10 88.70 112.90 78.65 86.95 102.55 106.85
## [1321] 56.10 118.60 115.50 35.20 115.25 66.30 42.90 57.65 57.55 29.25
## [1331] 111.75 107.70 38.50 66.00 101.50 86.70 114.30 60.75 65.70 63.35
## [1341] 65.45 67.50 78.15 68.90 59.15 67.95 95.55 62.85 39.30 36.25
## [1351] 23.90 103.65 39.85 117.35 67.05 101.25 28.60 73.30 23.05 116.80
## [1361] 108.20 112.20 36.10 94.00 110.20 65.90 52.50 88.75 92.40 49.60
## [1371] 97.05 40.10 86.35 82.10 78.25 48.65 91.80 62.45 98.00 78.20
## [1381] 53.35 40.15 68.15 92.45 92.70 96.95 67.75 55.75 114.60 118.75
## [1391] 24.20 102.80 115.85 117.80 116.60 65.05 92.50 18.75 93.60 36.15
## [1401] 58.40 107.40 61.30 66.90 110.70 38.25 39.55 23.15 72.45 60.10
## [1411] 113.15 106.25 116.15 54.05 97.25 41.10 33.45 39.40 76.25 46.40
## [1421] 63.05 117.45 59.05 76.55 62.50 29.40 113.45 49.70 107.55 23.85
## [1431] 39.15 49.75 18.90 63.60 53.00 36.85 45.50 30.05 52.30 82.35
## [1441] 77.00 118.35 30.45 66.20 116.50 104.20 34.95 111.10 58.00 21.15
## [1451] 87.70 67.20 114.75 77.90 68.70 86.90 56.90 66.75 33.70 40.45
## [1461] 83.65 64.55 93.65 116.95 52.00 39.35 62.65 72.15 65.30 101.60
## [1471] 71.80 48.45 51.75 42.40 97.90 116.40 31.65 39.05 103.00 53.55
## [1481] 26.50 40.90 62.55 77.55 53.15 51.45 56.55 52.85 21.30 102.90
## [1491] 93.75 109.00 68.10 60.55 102.40 96.30 34.30 51.40 71.85 81.60
## [1501] 88.25 97.35 106.95 41.60 91.60 112.75 34.85 56.65 61.75 87.60
## [1511] 71.75 83.60 29.30 114.20 36.50 76.60 35.30 23.45 113.95 29.70
## [1521] 39.95 55.40 47.05 110.25 66.65 118.20 102.25 25.85 91.95 72.20
## [1531] 51.50 77.50 53.70 46.05 39.45 110.55 100.10 61.00 83.95 116.20
## [1541] 113.35 77.65 116.30 43.60 101.95 68.30 48.40 101.70 56.85 73.10
## [1551] 87.75 21.45 43.45 101.85 105.80 102.35 51.15 41.95 106.20 116.55
## [1561] 103.50 82.55 66.60 44.50 18.55 23.50 37.70 36.05 112.35 56.50
## [1571] 117.50 62.30 103.60 38.80 91.75 67.70 35.15 61.10 68.45 43.05
## [1581] 72.00 108.35
##
## $TotalCharges
## [1] 29.850 1889.500 108.150 1840.750 151.650 820.500 1949.400 301.900
## [9] 3046.050 3487.950 587.450 326.800 5681.100 5036.300 2686.050 7895.150
## [17] 1022.950 7382.250 528.350 1862.900 39.650 202.250 20.150 3505.100
## [25] 2970.300 1530.600 4749.150 30.200 6369.450 1093.100 6766.950 181.650
## [33] 1874.450 20.200 45.250 7251.700 316.900 3548.300 3549.250 1105.400
## [41] 475.700 4872.350 418.250 4861.450 981.450 3906.700 97.000 144.150
## [49] 4217.800 4254.100 3838.750 1426.400 1752.650 633.300 4456.350 1752.550
## [57] 6311.200 7076.350 894.300 7853.700 4707.100 5450.700 2962.000 957.100
## [65] 857.250 244.100 3650.350 2497.200 930.900 887.350 49.050 1090.650
## [73] 7099.000 1424.600 177.400 6139.500 2688.850 482.250 2111.300 1216.600
## [81] 79.350 565.350 496.900 4327.500 973.350 918.750 2215.450 1057.000
## [89] 927.100 1009.250 2570.200 74.700 5714.250 7107.000 7459.050 927.350
## [97] 4748.700 113.850 1107.200 2514.500 19.450 3605.600 3027.250 7611.850
## [105] 100.200 7303.050 927.650 3921.300 1363.250 5238.900 3042.250 3954.100
## [113] 2868.150 3423.500 248.400 1126.350 1064.650 835.150 2151.600 5515.450
## [121] 112.750 229.550 350.350 62.900 3027.650 2135.500 1723.950 19.750
## [129] 3985.350 1215.650 1502.650 3260.100 35.450 81.250 1188.200 1778.500
## [137] 1277.750 1170.550 70.450 6425.650 563.650 5971.250 5289.050 1756.200
## [145] 6416.700 61.350 45.650 1929.950 1071.400 564.350 655.500 7930.550
## [153] 5215.250 113.500 1152.800 1821.950 419.900 1024.000 251.600 764.550
## [161] 1592.350 135.200 3958.250 233.900 1363.450 273.000 6254.450 2651.200
## [169] 321.400 3539.250 242.800 1181.750 5000.200 654.550 780.200 1145.700
## [177] 503.600 1559.250 1252.000 29.950 45.300 662.650 2453.300 1111.650
## [185] 24.800 1023.850 82.150 244.800 2379.100 3173.350 531.000 1375.400
## [193] 8129.300 1192.700 1901.650 587.400 6519.750 8041.650 20.750 2681.150
## [201] 1112.300 7405.500 1033.950 2958.950 2684.850 4179.200 79.900 1934.450
## [209] 6654.100 84.500 25.250 1124.200 540.050 1975.850 3437.450 3139.800
## [217] 3789.200 5324.500 624.600 268.350 1836.900 179.350 219.350 1288.750
## [225] 2545.750 55.200 2723.150 4107.250 5760.650 4747.500 84.600 1566.900
## [233] 702.000 114.100 299.050 1305.950 1120.300 284.350 6350.500 7878.300
## [241] 3187.650 6126.150 731.300 273.400 2531.800 1074.300 48.550 4298.450
## [249] 4619.550 147.150 40.200 2633.300 193.050 4103.900 7008.150 5791.100
## [257] 80.550 1228.650 132.200 1364.300 4925.350 1520.100 5032.250 5526.750
## [265] 1195.250 2007.250 1099.600 1732.950 1511.200 3450.150 2172.050 70.600
## [273] 401.100 5624.850 1339.800 771.950 244.750 322.900 498.250 25.400
## [281] 3687.750 1779.950 1783.600 927.150 70.000 606.550 435.400 1712.700
## [289] 2021.200 1940.800 567.800 220.350 20.250 5436.450 3437.500 3015.750
## [297] 73.600 1509.800 396.100 356.650 4109.000 3141.700 1229.100 2303.350
## [305] 2054.400 3741.850 3682.450 19.250 1886.250 4895.100 341.600 415.550
## [313] 5686.400 1355.100 3058.650 2231.050 3236.350 4350.100 4264.000 44.800
## [321] 422.300 4176.700 5138.100 880.050 139.050 973.650 1470.050 739.350
## [329] 161.950 4422.950 511.250 155.800 5293.950 4759.850 6148.450 3565.650
## [337] 6603.000 1830.100 6223.800 4508.650 1328.150 865.000 72.100 168.200
## [345] 1303.500 996.850 6430.900 2278.750 681.400 574.350 371.900 840.100
## [353] 846.000 889.000 6823.400 805.100 4016.750 83.750 3959.150 2878.550
## [361] 945.700 1373.050 492.550 1406.000 19.150 6962.850 8126.650 690.250
## [369] 181.500 830.800 5608.400 3646.800 3662.250 25.350 2566.500 5308.700
## [377] 1410.250 3339.050 50.650 4732.350 90.850 5067.450 214.750 4874.700
## [385] 2348.450 4063.000 44.000 2595.250 2309.550 89.300 367.550 3944.500
## [393] 5965.950 3694.700 2524.450 1803.700 415.100 624.150 237.700 7007.600
## [401] 3848.800 419.400 1468.750 5812.000 2861.450 19.900 19.600 233.700
## [409] 1066.150 2149.050 4473.000 3545.050 1195.750 6858.900 1024.700 1845.900
## [417] 75.300 132.250 515.450 2830.450 1110.500 449.300 2838.550 5376.400
## [425] 858.600 1395.050 3975.700 1182.550 4784.450 119.500 518.900 899.450
## [433] 1183.800 720.050 8468.200 3161.200 55.050 1882.550 5070.400 6049.500
## [441] 1166.700 2937.650 6396.450 69.550 1270.250 759.550 7611.550 1642.750
## [449] 1545.400 3582.400 2227.100 1417.900 2494.650 2768.350 2369.300 38.000
## [457] 75.100 100.900 1614.050 385.900 673.250 8404.900 2799.750 6538.450
## [465] 6588.950 868.100 734.350 330.600 55.000 564.400 1315.350 1861.500
## [473] 2747.200 554.050 453.400 994.800 225.750 2145.000 1671.600 8003.800
## [481] 680.050 6130.850 1415.000 6201.950 1397.475 74.350 6597.250 114.150
## [489] 139.400 3902.600 20.400 903.600 1785.650 1397.650 131.050 1238.450
## [497] 3899.050 5676.000 4543.150 4326.800 5502.550 1782.400 851.800 167.500
## [505] 502.850 19.850 1818.300 6300.150 334.800 5916.950 2852.400 4131.950
## [513] 1546.300 302.600 1929.350 265.450 6989.450 1442.000 4713.400 1758.600
## [521] 3480.000 4738.300 8399.150 5430.350 686.950 5706.300 490.650 1360.250
## [529] 174.450 7379.800 85.000 1021.750 5029.050 1955.400 6744.200 4946.700
## [537] 8248.500 601.600 19.550 834.100 597.000 2647.200 3266.000 6744.250
## [545] 5265.500 311.600 7966.900 8220.400 1153.250 514.750 2596.150 3808.000
## [553] 2708.200 760.050 49.300 6033.300 89.050 516.150 5861.750 445.950
## [561] 4973.400 1667.250 5357.750 3527.600 422.600 1103.250 2754.000 697.250
## [569] 5614.450 3204.400 4747.650 3082.100 597.900 3365.400 38.800 233.550
## [577] 346.200 19.000 61.700 85.700 3342.450 85.100 7422.100 6668.050
## [585] 8071.050 1174.800 5435.000 2438.600 45.600 713.750 916.150 237.200
## [593] 4614.550 1414.450 1170.500 47.700 4859.250 4903.200 3608.000 6094.250
## [601] 3084.900 2356.750 8306.050 6786.400 248.950 663.050 1357.100 4860.350
## [609] 3418.200 631.400 186.300 6976.750 4884.850 522.950 362.600 5755.800
## [617] 3355.650 406.950 137.600 2395.700 1968.100 6819.450 7943.450 4547.250
## [625] 4687.900 2473.950 6562.900 176.300 2236.200 6985.650 3109.900 4911.350
## [633] 5794.650 855.300 1620.200 2499.300 89.550 4287.200 394.850 1899.650
## [641] 45.700 3442.150 161.500 1732.600 222.300 74.600 655.300 475.250
## [649] 164.300 865.100 6132.700 3597.500 35.900 697.650 96.050 428.700
## [657] 20.050 4459.150 1167.600 238.100 145.150 1453.100 191.050 4039.300
## [665] 1039.450 1336.100 75.050 493.400 2550.900 7246.150 1203.950 62.250
## [673] 313.600 3775.850 80.000 4616.050 195.650 4188.400 71.100 49.900
## [681] 1266.400 91.100 1623.400 4149.450 20.450 2344.500 1013.050 270.700
## [689] 417.000 20.650 6316.200 168.150 4018.050 4811.600 4189.700 2848.450
## [697] 2516.200 33.600 208.450 2015.350 3739.800 2964.000 2263.400 2211.800
## [705] 1683.700 1519.000 1164.050 1710.900 4245.550 4145.900 2664.300 1277.500
## [713] 5589.300 34.750 381.300 141.500 3105.550 204.550 605.900 356.100
## [721] 2758.150 4805.650 3941.700 92.750 1901.050 5730.700 2423.400 1653.450
## [729] 3327.050 7085.500 3344.100 6697.350 2879.900 137.100 1008.550 1551.600
## [737] 202.150 7882.250 8196.400 202.900 855.100 5817.000 1652.950 5600.150
## [745] 515.750 190.500 1842.800 1253.800 57.200 1269.550 6563.400 20.800
## [753] 1907.850 208.850 4758.800 1292.600 363.150 1600.250 275.700 3089.100
## [761] 1175.600 237.300 1444.650 454.150 3036.750 8065.650 92.500 184.650
## [769] 6152.300 89.500 5154.500 220.450 1510.300 52.200 2588.950 4874.800
## [777] 3983.600 2003.600 1832.400 4908.250 3590.200 5023.000 146.600 2339.300
## [785] 298.700 143.650 2548.650 507.400 20.000 6125.400 5411.400 1058.250
## [793] 903.800 3009.500 489.450 5468.450 1058.100 7616.000 4113.100 6017.650
## [801] 7250.150 1108.200 938.650 94.150 2088.050 178.700 5656.750 2317.100
## [809] 5986.450 6751.350 3566.600 4889.300 318.100 1563.950 1430.250 644.350
## [817] 372.450 5453.400 1442.600 5610.700 963.950 5222.300 3340.550 292.800
## [825] 5774.550 4487.300 44.400 2854.950 905.550 5509.300 7589.800 229.600
## [833] 394.100 89.900 295.950 5459.200 444.750 6782.150 6510.450 8476.500
## [841] 4461.850 62.000 352.650 1424.900 6413.650 6309.650 50.800 5898.600
## [849] 4719.750 457.300 5822.300 1463.500 307.400 2104.550 319.150 2337.450
## [857] 104.300 5084.650 121.250 7015.900 5598.000 1269.100 3027.400 4634.350
## [865] 113.950 1582.750 3077.000 4039.500 1665.200 1043.300 504.200 497.550
## [873] 7511.650 1782.000 609.650 2857.600 3247.550 6215.350 2823.000 5017.900
## [881] 2619.250 24.600 4965.100 2679.700 8310.550 5682.250 1120.950 4914.900
## [889] 27.550 923.500 1625.650 6068.650 5398.600 918.600 234.850 1231.850
## [897] 170.900 7984.150 688.650 1288.300 7848.500 267.000 1798.900 73.550
## [905] 1643.550 4807.450 2193.000 2239.400 1505.900 255.350 1189.400 4786.150
## [913] 1820.900 2404.150 205.050 952.300 7039.450 2538.050 1212.850 2651.100
## [921] 1304.800 360.100 435.450 308.050 434.500 7118.900 320.450 531.550
## [929] 382.200 2001.000 4919.700 5645.800 215.800 77.600 2896.550 3395.800
## [937] 759.350 85.150 535.550 1253.150 955.150 2162.600 44.700 1813.350
## [945] 245.150 2028.800 2723.750 365.800 551.950 4054.200 832.350 112.300
## [953] 60.650 5550.100 174.800 90.550 4733.100 4048.950 1359.700 4542.350
## [961] 7532.150 69.900 888.650 6383.350 1916.000 413.000 808.950 1886.400
## [969] 86.600 1679.250 2656.500 540.950 537.350 678.800 4513.650 1423.850
## [977] 555.400 225.550 268.450 2917.500 2416.100 424.450 1492.100 132.400
## [985] 660.900 1893.950 284.900 784.250 417.700 5016.250 1612.750 119.750
## [993] 3204.650 485.200 160.850 4145.250 827.450 49.500 990.850 696.350
## [1001] 5585.400 1601.200 162.450 470.200 2066.000 1426.450 392.500 3861.450
## [1009] 2552.900 6668.350 819.400 4615.250 2070.600 273.750 3557.700 1957.100
## [1017] 729.950 1416.750 5924.400 1697.700 7849.850 649.400 4557.500 3013.050
## [1025] 1266.100 360.350 1046.500 2347.900 447.750 4209.950 3877.650 152.300
## [1033] 572.200 19.650 526.950 552.700 3208.650 210.750 3706.950 620.750
## [1041] 412.500 832.050 185.550 1943.200 505.900 8046.850 1815.300 612.950
## [1049] 795.150 2169.800 973.100 2210.200 4853.750 1055.900 144.550 1304.850
## [1057] 713.000 21.100 5580.800 1497.900 4527.450 4590.350 200.200 614.450
## [1065] 4564.900 171.150 1012.400 940.350 1047.700 2766.400 1622.450 1129.350
## [1073] 5680.900 2243.900 4523.250 7159.700 2839.950 580.100 2178.600 6038.550
## [1081] 259.400 324.150 417.650 5637.850 839.400 769.100 6253.000 1641.800
## [1089] 1678.050 2058.500 2424.500 387.200 6293.450 2839.650 3145.900 2200.700
## [1097] 914.400 4577.750 4997.500 4144.800 1493.550 4179.100 893.550 1611.000
## [1105] 593.050 4284.800 544.550 1533.800 529.800 3865.600 941.000 1133.650
## [1113] 48.350 2070.050 8333.950 1209.250 1396.250 723.350 228.650 1161.750
## [1121] 98.350 775.300 1074.650 35.550 2324.700 1072.600 170.500 196.900
## [1129] 1162.850 1677.850 18.850 370.400 3410.600 1138.800 5264.250 1005.700
## [1137] 5936.550 5475.900 224.050 2326.050 31.350 4991.500 1052.400 5831.200
## [1145] 510.800 283.950 1295.400 3011.650 8093.150 5610.250 3217.650 773.200
## [1153] 1029.350 669.450 3593.800 1553.950 3953.150 1971.150 1236.150 3196.000
## [1161] 4872.200 1500.500 60.150 3478.750 7413.550 3532.000 256.750 3887.250
## [1169] 2490.150 593.450 3510.300 765.450 1259.350 5538.350 340.850 844.450
## [1177] 1348.950 3778.000 611.650 4867.950 1505.050 467.850 74.900 194.200
## [1185] 571.450 80.250 5253.950 1149.650 740.800 521.350 1412.650 1532.450
## [1193] 250.050 1090.600 1446.800 2282.550 4300.450 1111.200 190.100 4447.750
## [1201] 143.350 45.850 810.200 1830.050 2820.650 4847.350 4729.300 4017.450
## [1209] 1398.600 2564.300 1685.900 5826.650 6066.550 228.400 270.200 1529.200
## [1217] 168.600 536.350 1888.450 629.350 289.300 2117.250 4730.900 2033.050
## [1225] 987.950 45.050 5744.350 75.800 523.150 4805.300 59.050 6110.750
## [1233] 1596.600 1046.200 4424.200 194.550 612.100 6127.600 6671.700 5264.300
## [1241] 303.700 4818.800 6448.050 7159.050 1574.500 2879.200 86.050 4159.450
## [1249] 6638.350 3112.050 7168.250 1326.250 2234.550 495.150 8317.950 679.800
## [1257] 62.800 7544.000 1188.250 676.700 74.100 3242.500 1240.150 4111.350
## [1265] 5899.850 632.950 5193.200 7530.800 270.950 5460.200 1614.200 402.500
## [1273] 1367.750 483.700 7962.200 3810.800 3533.600 1396.900 1345.550 1646.450
## [1281] 8127.600 2680.150 1281.000 1553.900 3207.550 2049.050 3629.200 5124.550
## [1289] 3474.450 202.300 147.500 86.350 579.000 3131.550 3928.300 187.750
## [1297] 1710.150 76.350 69.250 5961.100 1221.550 1496.450 1292.200 25.150
## [1305] 1713.100 1748.900 25.200 96.450 1114.550 609.100 7133.250 169.450
## [1313] 141.600 4688.650 563.050 5985.000 1258.600 373.500 857.200 2553.350
## [1321] 4322.850 250.800 4549.050 1359.500 1639.300 178.850 633.850 5315.100
## [1329] 735.500 889.900 1290.000 330.050 237.950 6474.400 4421.950 2452.700
## [1337] 813.850 4904.850 4484.050 2033.850 538.200 79.200 2192.900 3858.050
## [1345] 854.800 347.400 5815.150 3970.400 3058.150 6145.200 129.200 1165.900
## [1353] 49.950 1554.000 4904.250 5632.550 1643.250 740.550 3217.550 4888.200
## [1361] 2440.250 620.550 20.350 6840.950 3001.200 6254.200 319.600 1938.050
## [1369] 294.500 58.300 442.850 553.000 546.450 797.100 76.000 1673.800
## [1377] 343.450 7412.250 4039.000 170.850 2948.600 1308.400 6078.750 6603.800
## [1385] 3166.900 865.750 6373.100 1177.050 5985.750 732.500 7869.050 1504.050
## [1393] 936.700 741.400 6585.200 3122.400 50.450 1088.250 615.350 2908.200
## [1401] 739.900 593.850 1132.750 7227.450 193.600 1291.350 2023.550 349.650
## [1409] 153.950 5458.800 5244.450 154.550 4507.150 2031.950 50.050 332.450
## [1417] 473.900 106.800 152.600 1199.400 2555.050 2979.200 654.850 3834.400
## [1425] 1534.750 4586.150 20.550 5941.050 424.150 2234.950 666.750 281.000
## [1433] 547.800 571.150 1756.600 5731.450 3475.550 156.850 2683.200 896.750
## [1441] 2407.300 4456.650 6998.950 36.800 6547.700 4346.400 2265.000 1309.150
## [1449] 4754.300 1235.550 3562.500 7213.750 2082.950 102.750 5914.400 51.250
## [1457] 1282.850 4738.850 1775.800 795.650 145.000 4993.400 61.450 4018.550
## [1465] 1146.650 6081.400 1478.850 243.650 2633.950 4735.350 1247.750 3794.500
## [1473] 1008.700 2130.550 1313.550 5727.150 1372.900 1203.900 25.800 1215.100
## [1481] 2877.050 1579.700 5514.950 96.100 72.400 55.250 2443.300 1970.500
## [1489] 335.400 7002.950 158.950 293.150 1493.750 1093.400 1057.850 190.050
## [1497] 882.550 300.400 1025.950 1436.950 475.000 5388.150 5730.150 819.550
## [1505] 217.100 4896.350 1434.100 937.100 330.150 1474.900 6536.500 1128.100
## [1513] 6873.750 2199.050 457.100 566.500 2471.600 3107.300 518.300 5769.750
## [1521] 91.700 832.300 1555.650 1790.600 74.950 246.600 261.650 898.350
## [1529] 4509.500 5480.250 653.150 1183.050 639.450 478.750 127.100 4391.450
## [1537] 270.600 6710.500 3975.900 1704.950 415.950 950.200 1497.050 780.150
## [1545] 3512.150 273.250 3517.900 3375.900 7508.550 1245.050 5347.950 493.650
## [1553] 1263.850 385.550 3384.000 84.200 1638.700 165.400 120.250 4473.450
## [1561] 520.550 5717.850 88.800 4312.500 2755.350 994.550 6511.250 1218.650
## [1569] 7447.700 1169.350 279.500 5720.350 3121.450 6468.600 5918.800 675.600
## [1577] 3521.700 923.100 1110.350 1611.650 2293.600 5553.250 44.750 3029.100
## [1585] 3231.050 5129.450 5508.350 655.900 1191.200 866.400 2627.200 4741.450
## [1593] 4009.200 1463.450 5082.800 43.800 3707.600 1133.700 1983.150 5746.750
## [1601] 770.600 134.050 6230.100 573.050 3419.300 3587.250 3541.350 3801.300
## [1609] 868.500 4859.100 1439.350 85.800 79.100 592.750 1185.950 18.800
## [1617] 134.500 4921.200 901.250 5341.800 4859.950 1139.200 7082.450 324.600
## [1625] 4812.750 4399.500 663.550 174.650 321.700 5125.500 548.900 50.150
## [1633] 7031.300 5016.650 4594.950 611.450 2384.150 319.850 153.300 7035.600
## [1641] 344.200 1431.650 1849.200 6083.100 426.650 1655.350 1943.900 1616.150
## [1649] 314.950 804.850 465.700 6669.050 947.750 8375.050 34.700 3770.000
## [1657] 264.800 4707.850 6152.400 958.100 943.000 6615.150 2200.250 425.100
## [1665] 99.750 5044.800 6743.550 196.400 299.700 2093.900 417.750 1725.400
## [1673] 3169.550 5233.250 967.850 438.050 1421.900 323.150 318.600 163.700
## [1681] 639.650 2928.500 100.350 273.200 1608.150 1441.950 2168.150 3618.700
## [1689] 5692.650 59.850 69.600 5969.300 19.050 418.800 8100.550 19.500
## [1697] 313.450 6130.950 745.300 1212.100 183.750 1583.500 4162.050 1119.900
## [1705] 8013.550 264.850 1102.400 5832.000 4304.500 1178.400 1421.750 6827.500
## [1713] 4698.050 654.500 3268.050 4362.050 1386.900 415.400 2614.100 1513.600
## [1721] 3161.600 80.950 4676.700 6526.650 583.300 8078.100 3503.500 6669.450
## [1729] 4689.500 1201.150 1292.650 48.750 7108.200 1802.550 1505.150 1859.100
## [1737] 168.500 390.850 6339.450 1652.400 71.650 77.500 6392.850 3264.500
## [1745] 4599.150 1134.250 1621.350 947.300 2722.200 3058.300 1769.600 6293.750
## [1753] 1761.050 578.500 954.900 973.250 43.850 1490.400 280.000 1901.250
## [1761] 716.400 4720.000 930.950 1676.950 2642.050 6770.850 1835.300 1588.250
## [1769] 75.500 258.350 1502.250 19.200 6929.400 4453.300 3244.400 323.450
## [1777] 2661.100 2697.400 1424.500 1401.150 1739.600 5931.000 2333.850 949.850
## [1785] 572.450 696.800 1381.800 2572.950 47.950 45.100 45.000 2122.450
## [1793] 4931.800 116.950 6937.950 1261.700 3273.800 1415.850 3958.200 2492.250
## [1801] 279.200 1083.000 755.500 402.600 3252.000 68.750 46.200 45.150
## [1809] 43.300 936.850 2250.650 3857.100 1441.100 4338.600 1378.450 45.950
## [1817] 2566.300 171.000 1597.400 4744.350 6721.600 247.250 44.050 1734.650
## [1825] 45.550 4539.350 804.250 5011.150 3574.500 8086.400 4563.000 6362.350
## [1833] 67.100 70.050 165.450 1156.550 1834.150 3653.350 1477.650 1706.450
## [1841] 3953.700 1194.300 1327.850 419.700 21.000 207.350 1083.700 2007.850
## [1849] 5882.750 2657.550 1527.500 378.400 1612.200 76.650 260.700 6441.850
## [1857] 266.800 5124.600 962.250 1382.900 571.050 1399.350 150.000 167.200
## [1865] 7657.400 865.050 6153.850 174.200 1269.600 3862.550 6352.400 1348.500
## [1873] 50.900 471.550 5931.750 1404.650 726.100 1961.600 4194.850 4872.450
## [1881] 5118.950 658.950 81.050 76.950 5809.750 415.900 246.500 996.950
## [1889] 3145.150 265.300 20.900 21.050 4576.300 189.100 908.150 49.800
## [1897] 215.200 1500.950 5099.150 6385.950 159.450 6885.750 5940.850 668.850
## [1905] 1916.200 75.350 75.450 4613.950 7261.250 2459.800 2048.800 163.550
## [1913] 2888.700 2421.600 2292.750 553.400 3465.700 1210.400 1291.300 5356.450
## [1921] 5200.800 3237.050 576.650 433.750 1868.400 5728.550 825.700 390.400
## [1929] 93.550 2845.150 3894.400 886.400 1021.550 5885.400 268.400 2204.350
## [1937] 1259.000 309.100 6398.050 2257.750 6287.250 1662.050 1350.150 3600.650
## [1945] 1329.150 422.500 69.950 4627.650 6717.900 97.100 1710.450 637.400
## [1953] 117.950 2460.550 5464.650 2165.050 4941.800 223.150 181.100 341.450
## [1961] 5731.850 357.750 4616.100 4533.700 589.250 750.100 830.850 743.500
## [1969] 7040.850 3865.450 6825.650 1340.100 371.650 1184.000 8477.700 7382.850
## [1977] 456.850 331.600 6056.150 134.600 125.500 1390.600 2511.300 2737.050
## [1985] 74.300 2361.800 1730.350 6404.000 165.350 1867.600 128.600 7455.450
## [1993] 24.700 206.150 2030.300 5869.400 3377.800 1346.200 4946.050 4065.000
## [2001] 106.550 4964.700 4085.750 1742.750 6224.800 3415.250 6325.250 340.250
## [2009] 1683.600 3966.300 608.500 2896.600 1514.850 6792.450 4669.200 95.600
## [2017] 2934.300 6302.800 779.200 283.750 4600.700 5594.000 772.850 71.350
## [2025] 857.800 7554.050 5981.650 1702.900 467.150 69.750 2931.000 1400.850
## [2033] 137.850 1941.500 1932.750 1423.050 970.850 5810.900 223.900 391.700
## [2041] 79.950 19.300 811.650 174.750 3126.850 6841.450 3754.600 1406.650
## [2049] 834.700 627.400 242.000 3157.000 3092.000 2168.900 980.350 65.950
## [2057] 711.900 1952.800 4368.850 2647.100 8477.600 54.350 4528.000 1790.650
## [2065] 845.600 1210.300 854.450 2429.100 100.400 5229.450 44.450 1716.450
## [2073] 3023.550 4837.600 2032.300 436.900 70.550 5893.950 1430.050 313.000
## [2081] 3871.850 458.100 2745.700 341.350 1336.800 2181.750 147.750 818.450
## [2089] 7133.450 348.800 4674.400 1737.450 1498.850 50.100 1797.750 498.100
## [2097] 2624.250 184.100 5498.800 4845.400 369.100 6096.900 160.750 2684.350
## [2105] 3004.150 6994.800 5483.900 1233.650 527.900 4985.900 1258.350 111.400
## [2113] 43.950 308.100 383.650 2555.900 1284.200 7550.300 1110.050 99.600
## [2121] 6707.150 4164.400 5873.750 109.250 179.250 1338.150 862.400 8564.750
## [2129] 926.200 1718.200 5956.850 91.300 4824.450 1238.650 79.500 672.200
## [2137] 4264.600 1070.700 1345.850 1045.250 3003.550 467.550 7537.500 7482.100
## [2145] 3343.150 5427.050 587.100 100.800 161.150 7028.500 5232.900 225.850
## [2153] 274.700 1180.950 3370.200 7111.300 5958.850 5999.850 1648.450 5753.250
## [2161] 4492.900 3956.700 2625.550 1233.400 1309.000 813.450 1108.800 7349.350
## [2169] 294.200 929.200 740.000 754.500 3883.300 1414.200 3211.200 371.600
## [2177] 1246.400 95.850 2545.700 6448.850 1468.900 1013.600 6690.750 2088.750
## [2185] 7240.650 102.450 830.250 1588.700 829.300 302.450 712.250 1336.650
## [2193] 5360.750 6735.050 51.200 1010.000 4847.050 3019.700 161.650 217.550
## [2201] 2583.750 146.050 567.450 7711.250 1384.750 5481.250 8124.200 827.300
## [2209] 70.900 220.950 3673.600 49.850 2331.300 74.500 4495.650 6941.200
## [2217] 340.350 1789.900 908.550 1043.350 6822.150 71.550 157.550 5029.200
## [2225] 581.700 7318.200 420.450 7576.700 633.400 321.650 4965.000 6151.900
## [2233] 1253.900 45.200 5893.150 5420.650 2627.350 5037.550 743.750 6589.600
## [2241] 92.450 6733.150 3410.000 199.850 593.300 7288.400 5229.800 4464.800
## [2249] 5068.050 401.850 4451.850 6688.950 73.050 1211.650 7030.650 1020.200
## [2257] 5597.650 6223.300 1024.650 2933.200 1258.300 82.900 7789.600 2067.000
## [2265] 3452.550 5468.950 1802.150 733.550 3021.450 3687.850 1391.150 274.350
## [2273] 1214.050 5510.650 1322.850 1973.750 2196.300 7843.550 3211.900 130.150
## [2281] 692.350 85.500 6849.400 203.950 2117.200 6565.850 424.750 3306.850
## [2289] 168.900 253.800 197.400 3838.200 2065.150 5064.450 1140.050 2447.450
## [2297] 1263.900 1838.150 1185.000 1743.900 70.150 85.550 8529.500 6549.450
## [2305] 7806.500 25.700 6287.300 3251.850 50.600 7904.250 2654.050 2416.550
## [2313] 3520.750 5969.950 226.800 1082.750 565.750 4370.750 90.050 2169.400
## [2321] 550.600 55.450 6300.850 160.050 436.600 1781.350 3467.000 5552.500
## [2329] 2835.500 3591.250 88.350 63.750 617.150 870.250 601.250 111.650
## [2337] 6046.100 3923.800 777.300 512.450 141.450 892.150 1682.050 3398.900
## [2345] 4984.850 1445.300 305.550 507.900 3640.450 2673.450 389.800 2401.050
## [2353] 651.550 156.100 2796.350 407.050 6465.000 646.050 3777.150 4903.150
## [2361] 1653.850 47.500 1306.300 463.600 824.850 2094.650 438.900 847.300
## [2369] 329.750 674.550 162.550 546.950 7887.250 3186.650 1972.350 1527.350
## [2377] 490.550 1531.400 683.250 8058.850 2847.400 1133.900 294.450 1719.150
## [2385] 461.700 1160.450 5199.800 5163.300 162.300 883.350 1341.500 659.450
## [2393] 77.150 35.250 1205.050 4917.900 201.000 599.300 1733.150 5149.500
## [2401] 4677.100 119.300 4849.100 5424.250 5878.900 244.850 220.750 4261.200
## [2409] 5574.750 1501.750 89.750 4541.200 255.500 1072.000 2509.250 1440.750
## [2417] 1715.650 5333.350 3895.350 869.900 706.850 512.250 2636.050 814.750
## [2425] 388.600 93.450 1389.850 2894.550 4025.600 1354.400 1856.400 926.000
## [2433] 189.200 682.100 1778.700 1816.200 7069.250 1841.200 74.250 2656.700
## [2441] 1689.450 1054.750 2187.550 7334.050 1581.200 69.500 2404.850 171.450
## [2449] 2839.450 3132.750 3942.450 873.400 1529.650 6991.600 19.400 803.300
## [2457] 679.300 2791.500 715.000 1681.600 4016.200 3281.650 7317.100 6474.450
## [2465] 676.350 8164.100 1325.850 1654.850 7795.950 3952.450 2495.150 1230.250
## [2473] 876.750 4263.450 1992.950 1982.100 562.700 33.700 1090.100 227.450
## [2481] 1250.850 37.200 892.700 487.750 3713.950 141.700 678.200 8425.300
## [2489] 4154.800 7061.650 3364.550 2655.250 1425.450 332.500 5963.950 5742.900
## [2497] 278.850 1871.850 2866.450 4303.650 1753.000 54.750 3759.050 617.650
## [2505] 5935.100 94.600 2911.300 982.950 2974.500 198.700 1275.650 4003.000
## [2513] 3791.600 813.300 780.250 552.900 408.250 231.800 2191.150 5611.700
## [2521] 246.250 1296.150 7082.850 5662.250 1215.450 7854.150 525.000 5265.200
## [2529] 70.100 7129.450 7266.950 8496.700 2878.750 261.300 3205.600 279.250
## [2537] 6281.450 1131.300 738.200 1137.050 80.200 6341.450 6697.200 260.800
## [2545] 505.450 3655.450 1299.800 5564.850 188.100 1077.050 4922.400 2911.500
## [2553] 826.100 83.400 140.700 5377.800 665.450 3617.100 6643.500 84.800
## [2561] 1559.300 7987.600 1547.350 5426.850 1127.350 2142.800 287.850 4045.650
## [2569] 2757.850 600.000 19.800 4534.450 40.900 2094.900 1584.800 1302.650
## [2577] 2238.500 55.550 5437.750 90.750 365.650 2209.150 1912.150 255.550
## [2585] 5175.300 670.650 3177.250 90.350 6557.750 5791.850 3055.500 5196.100
## [2593] 8405.000 1789.250 5000.050 6713.200 562.600 91.450 828.850 617.350
## [2601] 266.900 625.050 301.400 6029.900 1842.700 206.600 604.700 7386.050
## [2609] 1471.750 2626.150 412.100 8277.050 583.450 369.250 1049.050 1414.800
## [2617] 169.750 4354.450 2719.200 6365.350 51.600 3190.250 812.500 1143.800
## [2625] 3297.000 1887.000 151.800 293.650 1308.100 2215.400 482.800 2598.950
## [2633] 216.450 5064.850 996.450 839.650 6733.000 2618.300 4084.350 765.500
## [2641] 793.550 613.950 402.850 1244.800 46.400 581.850 462.800 1540.200
## [2649] 169.800 5168.100 6780.100 94.500 55.300 208.000 3829.750 5294.600
## [2657] 6889.800 3254.350 6383.900 477.700 4447.550 7321.050 4135.000 697.700
## [2665] 168.650 174.300 2753.800 434.800 1077.500 95.650 107.250 851.200
## [2673] 20.950 5848.600 109.800 595.500 329.800 2513.500 5135.350 2000.200
## [2681] 931.750 7396.150 3958.850 260.900 297.300 1515.100 816.800 4868.400
## [2689] 688.000 288.350 3229.650 1178.250 185.400 966.250 758.600 1863.800
## [2697] 265.800 4107.300 396.300 2809.050 1567.550 1851.450 6028.950 2072.750
## [2705] 5551.150 4317.350 736.800 336.150 1522.650 622.900 4959.600 329.950
## [2713] 1048.850 1001.500 442.600 6703.500 3351.550 779.250 259.800 3483.450
## [2721] 4890.500 136.750 184.150 1315.000 6767.100 757.950 6890.000 1657.400
## [2729] 3008.550 262.050 8165.100 875.550 2649.150 220.650 1301.900 74.400
## [2737] 3326.200 790.000 1237.650 378.600 592.650 560.850 3638.250 1060.200
## [2745] 2921.750 854.900 4174.350 4920.550 20.500 810.300 772.400 1936.850
## [2753] 79.800 1070.500 347.650 999.900 113.100 2015.800 1454.250 246.700
## [2761] 6017.900 5817.450 5595.300 4765.000 1201.650 867.300 3007.250 252.750
## [2769] 6306.500 6841.050 81.950 451.100 44.600 226.200 7082.500 1017.350
## [2777] 527.350 2146.500 455.300 5969.850 1014.250 2362.100 1225.650 1873.700
## [2785] 386.500 6010.050 1850.650 7101.500 1043.400 1910.750 716.100 1686.150
## [2793] 6716.450 7839.850 6236.750 71.000 2919.850 3309.250 79.700 1254.700
## [2801] 2896.400 717.500 3888.650 6843.150 450.900 432.250 1767.350 1742.450
## [2809] 297.350 1820.450 1742.950 2444.250 949.800 73.500 2970.800 3334.950
## [2817] 2010.950 4684.300 2181.550 1303.250 371.400 2409.900 6155.400 829.100
## [2825] 2602.900 4667.000 824.750 5153.500 8182.850 6683.400 1564.050 755.600
## [2833] 3465.050 6292.700 1664.300 198.100 6045.900 4108.150 5980.750 5043.200
## [2841] 1029.750 2854.550 7114.250 907.050 973.950 605.750 661.550 4116.900
## [2849] 4494.650 4259.300 3282.750 55.700 1274.450 493.950 2239.650 480.750
## [2857] 635.600 5038.150 324.200 2793.550 2095.000 648.650 95.050 917.150
## [2865] 1346.900 4242.350 672.700 6561.250 7337.550 331.900 5194.050 4478.850
## [2873] 6283.300 2659.400 439.200 2107.150 3035.800 1866.450 1430.950 1071.600
## [2881] 6457.150 684.050 3914.050 3842.600 670.350 7880.250 298.450 3371.750
## [2889] 442.450 2345.550 1156.350 6143.150 144.800 414.950 1059.550 181.800
## [2897] 2212.550 2180.550 89.150 459.950 1036.750 2276.950 211.950 25.000
## [2905] 3162.650 210.650 3566.700 2080.100 4040.200 5186.000 196.150 1087.450
## [2913] 1672.150 1206.050 1113.950 107.050 38.150 6339.300 1688.900 1378.250
## [2921] 219.000 1067.150 79.550 3444.850 369.050 7553.600 1813.100 3321.350
## [2929] 707.500 7112.150 4641.100 7690.900 1380.100 78.650 45.400 3094.650
## [2937] 6518.350 2585.950 82.700 58.850 425.900 6342.700 2030.750 6700.050
## [2945] 7244.700 3678.300 3486.650 411.150 937.500 1559.150 970.400 2483.500
## [2953] 828.200 3810.550 1493.200 45.800 556.350 4911.050 187.350 307.600
## [2961] 4318.350 4820.550 3038.550 2136.900 7472.150 389.100 2296.250 187.450
## [2969] 261.250 38.450 299.200 3043.600 1506.400 323.250 1640.000 762.100
## [2977] 3846.350 5646.600 53.500 79.050 25.100 1516.600 2224.500 888.750
## [2985] 4310.350 42.900 2365.150 353.650 5073.100 4526.850 308.250 678.450
## [2993] 1237.300 1023.950 8182.750 4532.300 1444.050 19.100 7372.650 7325.100
## [3001] 3474.200 392.650 1058.600 3990.750 7475.850 835.500 2628.600 1718.350
## [3009] 1023.900 1193.550 1205.500 5776.450 78.900 1025.150 856.350 122.000
## [3017] 6602.900 1712.900 3635.150 702.900 3734.250 1144.500 4454.250 75.600
## [3025] 1117.550 180.250 930.050 110.150 333.600 465.050 1669.400 3545.100
## [3033] 504.050 440.200 1151.550 2475.350 1249.250 317.750 535.050 461.300
## [3041] 431.000 878.350 335.750 3121.400 324.800 1394.550 3413.250 3143.650
## [3049] 439.750 664.400 4759.550 1033.000 3482.850 2688.450 435.250 2448.750
## [3057] 307.000 2689.350 1329.200 1281.250 3527.000 4348.650 561.150 63.600
## [3065] 5129.300 4285.800 93.700 5894.500 25.050 1160.750 3091.750 365.550
## [3073] 272.950 3632.000 381.200 1035.500 52.000 2342.200 653.900 71.200
## [3081] 1498.200 4178.650 1821.800 5278.150 4024.200 6520.800 8308.900 109.200
## [3089] 92.050 3420.500 93.850 4068.000 337.900 3168.750 1412.400 3974.700
## [3097] 3439.000 42.450 5461.450 571.750 5498.200 96.850 111.050 94.400
## [3105] 521.100 923.850 141.100 628.650 5576.300 1046.100 1245.600 1287.850
## [3113] 1939.350 118.250 452.550 2696.550 875.350 1267.050 494.900 799.000
## [3121] 5763.300 20.100 106.900 710.050 568.200 1900.250 159.150 8012.750
## [3129] 856.650 551.300 184.950 4056.750 1096.650 3684.950 1752.450 7210.850
## [3137] 5264.500 2157.300 24.400 433.950 2435.150 5607.750 2874.150 4433.300
## [3145] 964.350 1974.800 1460.850 951.550 1821.200 1600.950 399.250 1218.550
## [3153] 81.700 2171.150 3634.800 292.400 317.250 218.550 5071.900 1423.350
## [3161] 3068.600 4690.650 6157.600 1442.650 3369.050 4671.650 3474.050 1875.550
## [3169] 272.350 3645.050 135.750 1319.850 229.400 370.250 69.100 5714.200
## [3177] 1233.250 3571.600 83.300 8035.950 579.400 3066.450 7634.250 3653.000
## [3185] 241.300 3870.300 387.900 527.500 78.450 20.300 3019.100 7051.950
## [3193] 1190.500 4448.800 255.250 146.900 1011.050 1714.950 762.500 535.350
## [3201] 75.550 338.900 2497.350 6273.400 70.250 908.750 4913.300 46.300
## [3209] 212.300 4443.450 316.200 1079.050 564.650 1095.650 6161.900 446.050
## [3217] 2106.050 2511.550 811.800 7323.150 186.050 454.000 7521.950 1056.950
## [3225] 44.150 834.150 85.450 999.800 2369.700 6297.650 239.550 59.200
## [3233] 1461.450 416.400 1060.600 4869.350 54.900 3265.950 2254.200 358.150
## [3241] 2939.800 4652.400 4408.450 580.800 2495.200 180.300 5913.950 158.400
## [3249] 104.200 1389.350 1629.200 6033.100 95.100 3320.750 1867.700 438.000
## [3257] 325.450 1148.100 3972.250 155.900 3673.150 1126.750 73.450 2413.050
## [3265] 6912.700 1581.950 5586.450 5846.650 6424.700 6018.650 3373.400 1537.900
## [3273] 1080.550 355.200 82.850 2016.450 5327.250 1263.050 151.300 7714.650
## [3281] 188.700 5549.400 130.500 2621.750 1875.250 5685.800 837.500 401.500
## [3289] 6118.950 6480.900 1800.050 7104.200 4214.250 863.100 1992.200 69.800
## [3297] 1948.350 4750.950 1007.900 5036.900 2391.800 6859.050 6521.900 617.850
## [3305] 157.750 516.300 2364.000 1687.950 7689.950 6239.050 2042.050 2807.100
## [3313] 4116.800 1317.950 4594.650 6332.750 3213.750 4976.150 7308.950 4555.200
## [3321] 44.950 6982.500 2274.350 789.550 4834.000 3131.800 602.550 3369.250
## [3329] 2674.150 199.750 1790.800 449.750 19.700 1400.300 411.600 741.000
## [3337] 5841.350 4512.700 5688.450 31.900 6674.650 1345.750 1843.050 196.950
## [3345] 1433.800 214.550 865.850 1358.600 3147.150 4535.850 1078.750 542.400
## [3353] 2312.550 415.050 3250.450 98.500 87.900 754.650 1952.250 153.800
## [3361] 3198.600 5610.150 4519.500 6860.600 1377.700 190.250 1651.950 78.300
## [3369] 7939.250 44.900 576.700 1279.000 1260.700 267.350 6586.850 934.150
## [3377] 123.650 7534.650 3645.600 314.450 3053.000 677.050 7965.950 906.850
## [3385] 4888.700 237.250 342.400 140.100 1108.000 295.550 892.650 198.250
## [3393] 4822.850 6741.150 79.150 1355.450 7209.000 438.400 7726.350 2070.750
## [3401] 1636.950 7581.500 3019.500 4729.750 6126.100 6333.400 6687.850 4158.250
## [3409] 3183.400 79.600 7149.350 1429.650 472.650 1734.500 1884.650 2568.150
## [3417] 470.000 278.400 2088.800 502.600 2595.850 5825.500 50.750 4449.750
## [3425] 1208.350 1956.400 310.600 290.550 2096.100 2665.000 543.800 3005.800
## [3433] 1623.150 2498.400 2586.000 3292.300 651.400 4674.550 232.350 2448.500
## [3441] 658.100 3128.800 223.450 919.400 653.950 1825.500 943.100 551.350
## [3449] 359.400 115.950 165.200 2338.350 3541.100 4146.050 1087.250 2522.400
## [3457] 81.000 717.300 1734.200 7069.300 742.900 3017.650 6423.000 1164.300
## [3465] 4220.350 1558.700 2743.450 4055.500 2710.250 6055.550 810.700 2538.200
## [3473] 6129.200 1750.850 36.550 6652.450 2575.450 6019.350 1379.600 296.150
## [3481] 653.250 412.600 49.550 1928.700 71.250 7845.800 1750.700 216.200
## [3489] 178.500 115.100 6029.000 2745.200 3721.900 3121.100 990.450 1004.350
## [3497] 157.650 3219.750 572.850 4554.850 1847.550 1766.750 1462.050 2193.200
## [3505] 2433.500 641.150 2398.400 861.850 583.000 7332.400 249.550 4475.900
## [3513] 416.450 788.600 6994.600 4116.150 2263.450 1374.350 4915.150 838.500
## [3521] 3715.650 4273.450 2044.750 30.550 1398.250 328.950 4680.050 3778.200
## [3529] 3161.400 2188.450 999.450 1888.650 3990.600 71.150 1240.250 2635.000
## [3537] 235.000 2347.850 7156.200 3089.600 270.800 2901.800 4949.100 2198.900
## [3545] 374.500 761.950 1520.900 5163.000 4059.850 2281.600 1356.700 231.450
## [3553] 242.400 4264.250 2774.550 3605.200 4069.900 874.200 1145.350 1323.700
## [3561] 5497.050 534.700 2455.050 38.700 947.400 357.000 1476.250 70.800
## [3569] 1448.600 291.900 5903.150 5921.350 146.650 1759.400 7774.050 140.950
## [3577] 249.950 1701.650 7732.650 4282.400 219.650 2018.100 669.000 68.950
## [3585] 224.850 3771.500 196.750 943.850 6572.850 3175.850 29.150 318.900
## [3593] 24.450 2762.750 631.850 232.500 5919.350 749.250 134.750 55.800
## [3601] 8240.850 4266.400 1115.600 95.000 4079.550 4187.750 2391.150 890.500
## [3609] 137.250 5154.600 3119.900 529.500 966.550 6936.850 3496.300 914.300
## [3617] 1929.000 5817.700 6110.200 178.800 28.300 435.000 2351.800 186.150
## [3625] 445.850 912.000 679.550 3581.600 4222.950 1994.300 5930.050 1505.850
## [3633] 5638.300 797.250 1359.450 2542.450 54.700 989.050 44.550 87.300
## [3641] 351.550 7297.750 6301.700 210.300 3822.450 1048.450 6393.650 1489.300
## [3649] 8061.500 74.200 518.750 5763.150 238.500 1031.700 34.800 1319.950
## [3657] 4388.400 420.200 2177.450 3950.850 827.050 3913.300 533.500 3756.450
## [3665] 443.900 2599.950 284.300 1740.800 3436.100 2462.550 70.850 3110.100
## [3673] 280.850 411.750 198.600 103.700 6144.550 4089.450 864.200 3249.400
## [3681] 5405.800 3363.800 7132.150 4138.900 5121.750 566.100 2715.300 1782.050
## [3689] 1742.500 2983.800 24.000 485.900 1905.700 1565.700 4858.700 3723.650
## [3697] 298.350 970.450 405.700 4534.900 2415.950 1157.050 8297.500 45.750
## [3705] 2083.100 4681.750 176.200 1001.200 1594.750 212.400 7677.400 815.500
## [3713] 80.150 259.650 8109.800 2386.850 419.350 7990.050 1402.250 749.350
## [3721] 8425.150 1171.500 5647.950 708.800 7567.200 29.900 4348.100 635.900
## [3729] 108.950 78.800 1682.400 6925.900 5127.950 874.800 6758.450 1874.300
## [3737] 791.150 4639.450 143.900 1776.550 536.400 6172.000 1559.450 6079.000
## [3745] 80.850 4029.950 2658.400 383.550 51.150 1745.500 2230.850 7281.600
## [3753] 1837.700 149.550 180.700 411.450 1328.350 576.950 68.450 123.050
## [3761] 468.350 174.700 172.350 139.350 539.850 4968.000 992.700 4718.250
## [3769] 5536.500 7806.600 434.100 1563.900 1332.400 545.200 6296.750 3645.500
## [3777] 161.450 226.950 646.850 1441.650 7511.300 5621.850 7919.800 593.200
## [3785] 1423.650 2763.350 692.100 2298.550 2640.550 2911.800 1727.500 6705.700
## [3793] 237.650 1672.350 2979.500 695.750 1654.600 24.250 1857.850 825.100
## [3801] 6424.250 837.950 4126.200 330.800 1337.450 362.200 5991.050 4891.500
## [3809] 5373.100 2068.550 487.050 4131.200 2301.150 131.650 4036.000 4900.650
## [3817] 5727.450 743.050 4804.650 24.050 1414.650 1443.650 2898.950 5309.500
## [3825] 451.550 50.550 117.050 5839.300 1893.500 45.350 1654.450 477.050
## [3833] 1415.550 4546.000 163.200 849.900 189.950 321.900 8058.550 7049.750
## [3841] 2560.100 286.800 7982.500 5683.600 3994.050 369.150 4631.700 401.950
## [3849] 1534.050 1093.000 701.300 1980.300 2893.400 262.300 3886.850 5917.550
## [3857] 914.000 2139.100 5948.700 3624.350 4753.850 5780.700 6869.700 1172.950
## [3865] 662.950 1765.950 2431.950 155.350 1859.200 3303.050 134.350 3409.100
## [3873] 709.500 70.500 953.450 3665.550 5515.800 272.000 6668.000 4052.400
## [3881] 718.550 937.600 5812.600 2546.850 6944.500 1346.300 1544.050 765.150
## [3889] 692.550 4059.350 6851.650 78.050 1187.050 5401.900 247.000 520.000
## [3897] 706.600 1370.350 2215.250 74.000 214.400 1871.150 6171.200 1013.200
## [3905] 336.700 333.650 6511.800 393.450 7009.500 2264.050 6921.700 600.250
## [3913] 56.350 4664.150 1441.800 5623.700 695.850 1028.750 4155.950 395.600
## [3921] 6330.400 2971.700 638.000 2034.250 2510.200 3419.500 2427.350 1760.250
## [3929] 3551.650 122.900 1424.200 2111.450 2909.950 374.000 300.800 5581.050
## [3937] 5676.650 3379.250 942.950 232.400 2088.450 6137.000 1434.600 3870.000
## [3945] 2043.450 2215.000 842.250 2576.200 1901.000 3515.250 605.450 3094.050
## [3953] 4929.550 595.050 469.800 8436.250 492.000 5496.900 1908.350 107.100
## [3961] 4575.350 4309.550 7922.750 522.350 587.700 3876.200 3778.850 1457.250
## [3969] 8349.450 185.600 1066.900 973.550 1226.450 342.300 985.050 3948.450
## [3977] 828.050 41.850 6164.700 2862.750 343.950 20.700 6590.500 717.950
## [3985] 2890.650 4885.850 1222.050 6871.700 405.600 208.250 1801.900 3062.450
## [3993] 1764.750 1816.750 1255.100 5743.050 3921.100 189.450 96.800 408.500
## [4001] 1846.650 8456.750 1011.500 4263.400 2549.100 3965.050 2496.700 90.600
## [4009] 288.050 368.100 7840.600 6632.750 1013.350 152.950 3772.650 1026.350
## [4017] 5031.850 220.400 1416.500 158.350 256.600 5542.550 68.500 8443.700
## [4025] 791.750 5708.200 2016.300 326.650 5471.750 19.950 346.400 1061.600
## [4033] 1971.500 773.650 1422.050 2460.350 856.500 1275.850 7467.500 7261.750
## [4041] 5116.600 660.050 6590.800 1208.150 1033.900 1885.150 2467.100 989.450
## [4049] 2006.950 5025.000 4830.250 59.750 3088.250 3134.700 94.550 8312.400
## [4057] 4863.850 6871.900 6529.250 6637.900 3165.600 1454.150 6786.100 543.000
## [4065] 1327.150 25.750 114.700 109.500 4692.950 546.850 1274.050 5301.100
## [4073] 280.350 2897.950 3371.000 801.300 6975.250 257.050 1079.450 40.100
## [4081] 6997.300 2217.150 1129.100 979.050 4119.400 2568.550 3349.100 492.100
## [4089] 1718.950 605.250 1344.500 4267.150 1121.050 918.700 521.800 4469.100
## [4097] 3580.300 1729.350 1073.300 4566.500 293.300 2603.100 1783.750 2440.150
## [4105] 6322.100 57.400 4284.650 7138.650 1539.750 123.800 2781.850 2731.000
## [4113] 89.100 497.300 711.150 1607.200 1490.950 1898.100 3273.950 2929.750
## [4121] 838.700 7746.700 6951.150 2669.450 235.200 92.650 3103.250 606.250
## [4129] 5330.200 1403.100 2727.800 5038.450 80.300 1462.600 150.600 5960.500
## [4137] 1192.300 314.550 56.000 877.350 2249.100 2807.650 1696.200 1032.050
## [4145] 4902.800 4995.350 5034.050 1857.750 1992.850 751.650 66.950 343.600
## [4153] 520.100 1387.450 7383.700 4483.950 1327.400 5974.300 4515.850 179.850
## [4161] 5040.200 165.000 422.700 3046.400 358.050 2936.250 1271.800 530.050
## [4169] 1808.700 1144.600 7446.900 7556.900 6595.000 149.050 4972.100 1880.850
## [4177] 2045.550 2187.150 477.550 2976.950 5025.850 3353.400 1461.150 2782.400
## [4185] 1699.150 1496.900 452.200 4428.450 1322.550 3563.800 139.750 1927.300
## [4193] 3000.250 3021.300 2245.400 24.750 944.650 1264.200 4917.750 2012.700
## [4201] 5743.300 1864.650 1221.650 1390.850 302.350 1374.900 1336.900 1297.800
## [4209] 6067.400 1222.250 487.950 2548.550 242.050 6218.450 7320.900 2967.350
## [4217] 6333.800 939.700 4200.250 5950.200 1037.750 93.400 1614.900 1573.950
## [4225] 3624.300 100.250 2607.600 1422.100 69.850 1523.400 324.300 3435.600
## [4233] 399.600 4549.450 322.500 3273.550 5375.150 2510.700 3090.050 61.050
## [4241] 955.600 140.400 1493.100 69.400 1626.050 541.150 1784.900 70.350
## [4249] 6075.900 5500.600 73.100 3229.400 3399.850 6431.050 1230.900 454.650
## [4257] 235.050 6595.900 5867.000 196.350 909.250 6449.150 762.450 5283.950
## [4265] 1617.500 785.750 1776.000 5396.250 574.500 400.300 84.300 2656.300
## [4273] 1445.950 5212.650 6440.250 2244.950 1130.000 6463.150 1131.200 585.950
## [4281] 6252.700 2062.150 720.450 2186.400 2979.300 956.650 3201.550 3973.200
## [4289] 447.900 1335.200 661.250 1111.850 7555.000 49.000 3046.150 69.350
## [4297] 836.350 272.200 5293.400 2570.000 798.200 916.900 6487.200 1855.650
## [4305] 1556.850 1988.050 5432.200 147.550 8424.900 2203.700 387.400 116.650
## [4313] 3045.750 2287.250 767.900 446.800 8100.250 830.700 4689.150 6754.350
## [4321] 3540.650 2184.600 1054.600 130.550 1540.350 6411.250 1432.550 7629.850
## [4329] 101.900 313.400 6312.900 629.550 1372.450 1212.250 6237.050 6310.900
## [4337] 5031.000 85.050 8672.450 2196.450 3008.150 220.800 5779.600 222.650
## [4345] 914.600 246.300 2110.150 5560.000 1633.000 547.650 969.850 2610.650
## [4353] 6567.900 4747.850 1759.550 101.100 6496.150 4234.150 300.700 59.550
## [4361] 4323.350 1466.100 8684.800 1776.450 2933.950 4370.250 144.350 4804.750
## [4369] 1125.200 39.850 422.400 251.750 8332.150 314.600 4331.400 6382.000
## [4377] 740.300 600.150 5538.800 7049.500 690.500 279.300 1427.550 452.700
## [4385] 1709.150 53.150 777.350 860.850 5012.100 166.300 2404.100 4820.150
## [4393] 209.900 610.750 3409.600 70.700 144.000 7875.000 911.600 1270.200
## [4401] 478.100 1561.500 761.850 2282.950 1615.100 1097.150 369.300 6725.300
## [4409] 31.550 6293.200 432.500 321.750 2434.450 532.100 375.250 125.950
## [4417] 1042.650 1620.250 2387.750 659.350 2660.200 1285.800 4211.550 377.550
## [4425] 990.900 193.800 6058.950 964.900 790.150 2467.750 2322.850 7262.000
## [4433] 4854.300 7748.750 1914.900 6470.100 2019.800 5688.050 1522.700 1334.500
## [4441] 252.000 700.450 5655.450 6747.350 5265.100 5174.350 105.600 2271.850
## [4449] 2966.950 1772.250 61.150 494.950 5290.450 3346.800 5219.650 217.500
## [4457] 607.700 5431.400 6004.850 5957.900 5442.050 4428.600 3067.200 6688.100
## [4465] 4224.700 4042.200 62.050 3580.950 1198.800 1755.350 3772.500 2877.950
## [4473] 357.700 1397.300 959.900 3182.950 3704.150 4620.400 8312.750 541.900
## [4481] 929.300 971.300 1285.050 1521.200 3389.250 1198.050 3414.650 754.000
## [4489] 216.900 373.000 245.200 481.100 302.750 1728.200 2964.050 2156.250
## [4497] 60.100 1051.900 78.950 5013.000 1738.900 2275.100 5511.650 1316.900
## [4505] 7993.300 1388.450 666.000 94.450 244.650 4134.700 2375.400 4862.500
## [4513] 2431.350 351.500 106.200 1413.000 1743.050 657.500 1050.500 426.350
## [4521] 4982.500 1451.900 7634.800 3116.150 2633.400 49.650 6979.800 4920.800
## [4529] 46.350 1021.800 5276.100 8289.200 2659.450 94.000 5824.750 1517.500
## [4537] 3479.050 7365.700 1331.050 1195.950 3946.900 4299.950 1424.950 4391.250
## [4545] 1993.800 2597.600 4213.900 5017.700 1052.350 4916.400 2959.800 7559.550
## [4553] 53.950 7133.100 1799.300 829.550 1312.150 1597.050 524.350 4191.450
## [4561] 711.950 2201.750 806.950 1620.450 6812.950 1837.900 7344.450 545.150
## [4569] 1500.250 2283.150 494.050 1376.500 755.400 825.400 488.650 2841.550
## [4577] 486.850 2075.100 5299.650 204.700 1356.300 5042.750 812.400 6605.550
## [4585] 2995.450 505.950 3509.400 6991.900 590.350 2789.700 137.950 1123.150
## [4593] 7953.250 349.800 1067.050 3527.300 3762.000 1248.900 3035.350 4300.800
## [4601] 6065.300 144.950 3233.600 5438.900 1081.450 2308.600 1882.800 3255.350
## [4609] 1067.650 2065.400 4136.400 221.900 3848.000 8022.850 173.150 781.250
## [4617] 4510.800 5317.800 4779.450 250.100 1745.200 4140.100 3670.500 1167.800
## [4625] 469.650 58.900 333.550 3171.150 1381.200 455.500 1158.850 6954.150
## [4633] 1672.100 3152.500 4307.100 2530.400 6141.650 3186.700 1054.800 5430.650
## [4641] 151.750 299.400 1086.750 2692.750 1389.600 3767.400 3641.500 2535.550
## [4649] 35.750 6880.850 3753.200 637.550 181.600 5329.550 1539.800 2209.750
## [4657] 223.750 7751.700 1174.350 4385.050 2606.350 1539.450 18.900 1261.350
## [4665] 58.150 225.600 253.900 400.000 2515.300 227.350 305.950 365.400
## [4673] 2357.750 198.500 554.250 742.950 251.650 4816.700 768.050 1215.800
## [4681] 3522.650 1834.950 305.100 910.450 155.650 3656.250 150.850 389.250
## [4689] 1261.000 108.700 7346.200 3708.400 44.100 1385.850 548.800 712.750
## [4697] 6405.000 1637.400 2536.550 6042.700 958.250 1730.650 459.600 201.950
## [4705] 285.200 6145.850 1529.450 4664.500 1740.700 552.950 7053.350 301.550
## [4713] 312.700 2960.100 834.200 6953.400 4134.850 899.800 541.500 116.850
## [4721] 7942.150 5321.250 4156.800 223.600 768.450 3765.050 2157.500 108.050
## [4729] 1391.650 1379.800 1273.300 810.450 1810.850 7782.850 70.300 1797.100
## [4737] 377.850 445.300 851.750 7624.200 355.100 575.450 1057.550 1388.750
## [4745] 1641.300 1375.150 152.700 185.200 195.050 1826.700 417.500 344.500
## [4753] 1660.000 2835.900 2730.850 5437.100 6981.350 5794.450 747.200 1267.950
## [4761] 3674.950 1275.600 5893.900 724.650 1536.750 3615.600 607.300 4154.550
## [4769] 2184.350 1852.850 847.800 2390.450 1923.500 338.100 3030.600 2184.850
## [4777] 1031.400 921.300 3875.400 3124.500 6689.000 1451.100 6368.200 3729.600
## [4785] 350.100 2847.200 452.350 1494.500 930.450 1272.050 475.100 673.100
## [4793] 208.700 150.750 3199.000 5844.650 2462.600 6263.800 3403.400 237.750
## [4801] 221.350 7881.200 2320.800 370.500 4062.200 3043.700 2723.400 1081.250
## [4809] 4097.050 632.200 4042.300 164.850 8166.800 4113.700 3047.150 70.400
## [4817] 4193.400 3729.750 399.450 331.300 1964.600 1336.150 1147.450 486.050
## [4825] 1078.900 5925.750 7804.150 4747.200 1028.900 226.450 4364.100 4692.550
## [4833] 2433.900 1217.250 154.300 6382.550 7623.200 1261.450 89.250 6779.050
## [4841] 4345.000 1714.550 893.200 810.850 6347.550 1123.650 43.150 35.100
## [4849] 1388.000 3851.450 1743.500 2638.100 946.950 1114.850 1777.600 684.850
## [4857] 1312.450 159.200 610.200 404.350 69.650 6363.450 4124.650 713.100
## [4865] 950.750 169.650 526.700 393.150 1147.000 3021.600 5718.200 191.350
## [4873] 4539.600 6397.600 280.400 2718.300 5711.050 3478.150 36.450 4133.950
## [4881] 2917.650 54.300 2964.800 2198.300 1189.900 1914.500 2001.500 5336.350
## [4889] 7238.600 7998.800 3825.850 5703.250 7397.000 164.600 6555.200 225.650
## [4897] 955.750 3382.300 2313.800 933.300 780.850 7852.400 3184.250 764.950
## [4905] 2763.000 1614.700 145.400 156.250 1604.500 270.150 20.600 7047.500
## [4913] 573.150 1538.600 4459.800 7459.000 306.050 639.700 348.150 4533.900
## [4921] 5563.650 1587.550 40.250 842.900 4228.550 784.450 1406.900 1857.300
## [4929] 7322.500 6725.500 3627.300 1761.450 1725.950 4192.150 1411.200 164.500
## [4937] 2724.600 264.550 4671.700 1173.550 318.500 7713.550 2471.250 7842.300
## [4945] 2227.800 4990.250 3744.050 7220.350 2351.450 2989.600 6077.750 4070.950
## [4953] 2479.050 2134.300 6000.100 2203.100 183.150 6194.100 638.950 2139.200
## [4961] 831.750 521.300 1337.500 7181.950 608.000 577.600 5953.000 1790.150
## [4969] 2531.400 4760.300 292.850 953.650 198.000 5705.050 609.900 79.650
## [4977] 6993.650 4122.650 5762.950 1537.850 2603.300 5566.400 5431.900 2258.250
## [4985] 1092.350 6401.250 2812.200 80.050 2698.350 616.900 1912.850 849.100
## [4993] 3460.300 1465.750 90.100 5555.300 1278.800 2907.350 146.300 4952.950
## [5001] 4504.900 4520.150 2316.850 8075.350 2302.350 7251.900 2078.550 6225.400
## [5009] 1242.250 99.450 599.250 3462.100 853.000 934.100 2375.200 2813.050
## [5017] 1222.800 5293.200 6314.350 1003.050 1593.100 2509.950 74.450 2345.200
## [5025] 3330.100 5522.700 2335.300 4798.400 8594.400 970.550 7665.800 3686.050
## [5033] 1115.150 2537.000 1393.600 89.350 4445.300 978.600 1258.150 331.350
## [5041] 291.400 453.750 84.750 1715.100 1715.150 1597.250 1250.100 3996.800
## [5049] 5215.100 235.500 673.200 1442.200 5639.050 5222.350 7291.750 799.650
## [5057] 424.500 249.400 4415.750 5270.600 2447.950 2884.900 3050.150 253.000
## [5065] 4517.250 436.200 118.400 3649.600 1200.150 255.600 2395.050 5083.550
## [5073] 389.600 644.500 523.500 39.300 2406.100 638.550 191.100 4524.050
## [5081] 4664.200 3470.800 6910.300 4014.200 1288.000 2277.650 6375.800 5251.750
## [5089] 1505.450 6903.100 913.300 5535.800 815.550 1411.650 5602.250 8244.300
## [5097] 741.500 4375.800 5968.400 3096.900 3901.250 2613.400 853.100 5661.700
## [5105] 794.250 695.050 160.800 5552.050 3275.150 4236.600 54.500 741.700
## [5113] 3019.250 962.900 4759.750 1498.350 1233.150 4882.800 5411.650 148.050
## [5121] 3930.550 6895.500 84.650 6856.950 2658.800 3766.200 129.550 347.250
## [5129] 354.050 929.450 679.000 3846.750 4480.700 44.350 499.400 1553.200
## [5137] 219.500 5311.850 586.050 2576.800 6435.250 1993.250 1923.850 939.800
## [5145] 3092.650 5986.550 5487.000 651.500 73.650 2405.050 4458.150 6856.450
## [5153] 4735.200 682.150 4525.800 321.050 335.650 1424.400 1748.550 474.900
## [5161] 668.400 926.250 1077.950 2541.250 46.000 1156.100 3694.450 382.800
## [5169] 746.750 3912.900 368.850 1654.700 1940.850 221.700 1794.650 5289.800
## [5177] 501.200 6140.850 48.450 309.250 201.100 6179.350 2838.700 4589.850
## [5185] 3735.450 2553.700 1342.150 1216.350 7578.050 2603.950 42.700 6056.900
## [5193] 2983.650 689.350 2025.100 1747.200 4657.950 296.100 8016.600 81.100
## [5201] 433.500 6428.400 5883.850 1043.800 6252.900 1857.250 146.400 240.450
## [5209] 1724.150 315.300 429.550 356.150 488.250 1298.700 1378.750 973.450
## [5217] 384.250 8543.250 389.950 4275.750 1924.100 669.850 5784.300 5166.200
## [5225] 4060.550 267.400 3532.850 4914.800 5315.800 775.600 5445.950 53.550
## [5233] 1007.800 833.550 6579.050 1004.500 7856.000 2169.750 896.900 501.350
## [5241] 4126.350 2460.150 477.600 370.650 265.750 2424.450 1849.950 1698.550
## [5249] 1910.600 998.100 890.600 1383.600 48.600 1207.000 563.500 864.550
## [5257] 2109.350 701.050 2265.250 220.600 5749.800 2796.450 5165.700 5696.600
## [5265] 2076.050 44.200 215.250 1859.500 7470.100 229.500 2470.100 2092.900
## [5273] 5629.550 469.850 733.950 485.250 1244.500 3994.450 78.250 1131.500
## [5281] 184.050 1178.750 667.700 5629.150 109.300 958.450 403.150 75.900
## [5289] 76.200 4392.500 3168.000 1096.600 2343.850 3588.400 7511.900 1725.000
## [5297] 49.750 1691.900 2248.050 4479.200 3471.100 63.000 3314.150 865.550
## [5305] 852.700 1930.900 91.400 3949.150 4304.000 409.900 1554.900 3472.050
## [5313] 117.800 3210.350 207.400 60.000 649.650 20.850 2106.300 35.000
## [5321] 2011.400 6205.500 903.700 3882.300 879.800 4390.250 68.200 452.800
## [5329] 5329.000 1758.900 5737.600 1152.700 7674.550 2157.950 1219.850 2414.550
## [5337] 1155.600 7548.100 1809.350 1564.400 75.700 84.400 864.850 228.750
## [5345] 7752.050 1951.000 470.600 4060.900 384.500 3432.900 108.650 3952.650
## [5353] 463.050 3416.850 1498.650 2867.750 4807.350 471.350 1041.800 7689.800
## [5361] 1132.350 1815.000 1311.300 199.450 1637.300 1326.350 6376.550 935.900
## [5369] 1611.150 6989.700 2779.500 1931.750 8331.950 735.900 2283.300 1445.200
## [5377] 818.050 2333.050 1992.550 5890.000 916.750 1029.800 1796.550 454.050
## [5385] 1392.250 1049.600 734.600 1540.050 1978.650 3181.800 229.700 5625.550
## [5393] 6581.900 1347.150 3808.200 3974.150 7661.800 2479.250 266.600 5601.400
## [5401] 1982.600 339.900 4828.050 5980.550 4808.700 3692.850 1068.150 2383.600
## [5409] 1438.050 917.450 6096.450 3078.100 99.950 475.200 2036.550 6444.050
## [5417] 1426.750 767.550 7932.500 4040.650 2768.650 474.800 446.100 1345.650
## [5425] 2425.400 2077.950 416.300 1663.500 1286.050 35.850 1094.350 7719.500
## [5433] 514.600 1451.600 4932.500 5443.650 330.250 746.500 122.700 6631.850
## [5441] 8250.000 3561.150 1763.550 2419.000 5234.950 3097.000 1709.100 1848.800
## [5449] 723.300 809.750 1470.950 577.150 6914.950 602.900 124.400 3827.900
## [5457] 533.050 2961.400 3264.450 995.350 2815.250 154.800 257.600 5757.200
## [5465] 7517.700 1234.800 1389.200 3836.300 1474.750 6001.450 720.100 2832.750
## [5473] 472.250 1460.650 1336.350 6388.650 153.050 677.900 1165.600 2119.500
## [5481] 921.550 72.000 68.350 847.250 4295.350 135.000 1400.550 1380.400
## [5489] 4386.200 86.000 5785.500 52.050 2018.400 79.450 2727.300 263.650
## [5497] 275.400 2816.650 538.500 948.900 846.800 4783.500 2997.450 5897.400
## [5505] 524.500 269.650 4740.000 2341.500 1789.650 1626.400 800.300 5060.850
## [5513] 1448.800 4254.850 466.600 4627.800 6838.600 1101.850 44.300 4297.600
## [5521] 414.100 3969.350 2274.100 1296.800 1268.850 8192.600 59.250 1147.850
## [5529] 4361.550 2006.100 2078.950 7609.750 1218.450 1416.200 483.300 1234.600
## [5537] 1311.600 5618.300 6185.150 1237.850 2381.550 788.350 756.400 613.400
## [5545] 3625.200 550.350 4793.800 1267.200 442.200 84.850 5567.450 3160.550
## [5553] 5706.200 3085.350 3541.400 50.700 1165.550 4855.350 2806.900 1422.650
## [5561] 608.150 641.350 4959.150 1321.300 1663.750 3024.150 2188.500 4138.050
## [5569] 102.500 872.650 2724.250 413.250 1374.200 757.100 6692.650 218.500
## [5577] 608.800 1004.750 1125.600 3847.600 978.000 1387.350 746.050 304.600
## [5585] 1098.850 4368.950 827.700 279.550 3512.500 1483.250 4653.850 4400.750
## [5593] 8033.100 1253.650 552.650 1036.000 4025.500 928.400 24.900 460.250
## [5601] 6506.150 5598.300 4374.550 678.750 2191.700 239.750 5485.500 609.050
## [5609] 683.750 404.200 5189.750 5060.900 233.650 7176.550 291.450 689.750
## [5617] 3263.900 1993.200 254.500 967.900 242.950 1841.900 232.100 809.250
## [5625] 866.450 360.550 2076.200 355.900 7299.650 2291.200 129.150 7491.750
## [5633] 5835.500 7031.450 7723.900 1032.000 70.750 109.600 727.800 130.750
## [5641] 893.000 763.100 781.400 902.250 2653.650 1016.700 5943.650 3126.450
## [5649] 1070.150 3457.900 340.400 4299.200 1093.200 521.900 1630.400 713.600
## [5657] 1265.650 4003.850 1401.400 1510.500 178.100 480.600 4541.900 7542.250
## [5665] 251.250 1595.500 23.450 685.550 3874.100 6891.400 4916.950 1373.000
## [5673] 29.700 6039.900 1548.650 3440.250 4226.700 1023.750 55.400 7074.400
## [5681] 156.350 6849.750 3263.600 1252.850 67.550 70.200 5750.000 1549.750
## [5689] 1810.550 2952.850 7467.550 5484.400 294.900 97.500 5916.450 113.350
## [5697] 476.800 101.650 1130.850 3532.250 6891.450 1570.700 520.950 7854.900
## [5705] 3581.400 1447.900 8547.150 727.850 357.600 159.350 6069.250 3274.350
## [5713] 1359.000 1777.900 6109.650 1122.400 2020.900 3795.450 4504.550 3579.150
## [5721] 49.700 276.500 8175.900 890.350 5588.800 58.000 5568.350 2203.650
## [5729] 938.950 2024.100 3623.950 2369.050 3877.950 4577.900 25.850 2871.500
## [5737] 672.550 1573.700 1270.550 7711.450 126.050 2193.650 64.550 31.200
## [5745] 38.250 3348.100 533.600 2907.550 1620.800 3480.350 293.850 3243.450
## [5753] 4137.200 79.250 5348.650 659.650 3180.500 118.500 3023.850 3365.850
## [5761] 195.300 1031.100 997.650 6471.850 6241.350 6501.350 2237.550 5231.300
## [5769] 5275.800 165.500 358.500 6614.900 80.500 2421.750 1294.600 1299.100
## [5777] 5733.400 7430.750 900.500 630.600 3856.750 1222.650 374.800 1625.000
## [5785] 7234.800 331.850 3959.350 5088.400 3969.400 4860.850 788.050 1266.350
## [5793] 470.950 688.200 387.700 845.250 560.600 4230.250 4983.050 4113.150
## [5801] 521.000 471.850 5976.900 506.900 4299.750 7548.600 1654.750 80.350
## [5809] 4551.500 6227.500 76.400 514.000 57.500 1474.350 880.200 3270.250
## [5817] 3919.150 7285.700 93.300 169.050 7658.300 5959.300 5295.700 4693.200
## [5825] 3512.900 5231.200 3603.450 217.450 6875.350 2021.350 2564.950 5611.750
## [5833] 7610.100 35.050 73.000 4543.950 450.400 1297.350 4442.750 1423.150
## [5841] 4378.350 2716.300 450.650 1175.850 558.800 2220.100 3283.050 142.350
## [5849] 4939.250 4237.500 335.950 33.200 7188.500 1119.350 116.600 68.800
## [5857] 287.400 2341.550 1362.850 163.600 7752.300 6585.350 4786.100 3835.550
## [5865] 397.000 1027.250 1580.100 7222.750 3769.700 4233.950 1680.250 3725.500
## [5873] 413.650 7707.700 714.150 8309.550 601.550 139.250 1888.250 2773.900
## [5881] 5409.750 5643.400 197.700 401.300 3238.400 1573.050 235.800 1364.750
## [5889] 1985.150 655.850 303.150 4335.200 647.500 1574.450 2748.700 2483.650
## [5897] 6367.200 4904.200 2044.950 1794.800 7173.150 6441.400 7039.050 921.400
## [5905] 4018.350 5448.600 2085.450 1358.850 5135.150 730.100 2869.850 49.250
## [5913] 1108.600 1815.650 730.400 5071.050 4014.600 568.850 5860.700 7279.350
## [5921] 1064.950 5769.600 5886.850 4238.450 418.300 136.050 708.200 788.550
## [5929] 700.850 4378.800 3442.800 181.700 7171.700 4016.850 4122.900 1482.300
## [5937] 1240.800 44.650 1095.300 788.800 6578.550 2802.300 857.750 184.400
## [5945] 364.550 6093.300 1861.100 1079.650 7475.100 2862.550 3069.450 2349.800
## [5953] 469.250 4213.350 3301.050 3529.950 7723.700 4144.900 4265.000 154.650
## [5961] 3246.450 8337.450 5731.400 6176.600 1905.400 931.900 7348.800 776.250
## [5969] 5243.050 141.650 7679.650 2954.500 1006.900 2540.100 3097.200 3807.350
## [5977] 2484.000 5785.650 2619.150 1524.850 2790.650 1784.500 3937.450 2276.100
## [5985] 2029.050 802.350 418.400 4653.250 275.900 2130.450 1191.400 50.500
## [5993] 2554.000 5589.450 467.700 3334.900 920.500 3431.750 150.350 2587.700
## [6001] 367.950 5125.750 4801.100 6219.600 550.100 7862.250 1242.200 4871.050
## [6009] 3190.650 2666.750 792.150 295.650 1459.350 4398.150 4297.950 167.300
## [6017] 4096.900 3454.600 1286.000 1387.000 786.300 641.250 705.450 345.500
## [6025] 345.900 5811.800 124.450 1375.600 3491.550 7920.700 6640.700 718.100
## [6033] 320.400 101.450 1334.450 3358.650 4764.000 350.300 5703.000 525.550
## [6041] 69.200 483.150 934.800 786.500 4086.300 5364.800 82.300 770.400
## [6049] 6816.950 2419.550 4138.700 267.600 3457.450 1115.200 5435.600 4186.300
## [6057] 4630.200 3221.250 688.500 867.100 4746.050 712.850 48.950 5764.700
## [6065] 428.450 1505.350 693.450 930.400 1177.950 5069.650 324.250 1458.100
## [6073] 156.400 2298.900 1679.650 369.600 2998.000 5206.550 3626.100 7968.850
## [6081] 152.450 1959.500 2053.050 398.550 3425.350 4323.450 703.550 1275.700
## [6089] 2965.750 1647.000 56.250 2249.950 6109.750 159.400 3751.150 68.650
## [6097] 411.250 105.500 3320.600 327.450 5669.500 465.450 704.300 1369.800
## [6105] 1107.250 95.550 6375.200 8152.300 1566.750 130.250 162.150 110.050
## [6113] 6302.850 2264.500 1253.500 41.200 5265.550 693.300 5997.100 3824.200
## [6121] 3886.050 7283.250 412.550 1070.250 817.950 1171.300 6548.650 625.650
## [6129] 1911.500 134.700 1507.000 2978.300 299.300 5832.650 5567.550 450.800
## [6137] 4166.350 1215.600 7898.450 3915.400 979.500 7432.050 4026.400 25.300
## [6145] 1193.050 1958.450 63.150 1301.100 484.050 3887.850 2208.750 238.150
## [6153] 80.800 958.150 118.300 76.450 3845.450 1094.500 573.750 1267.000
## [6161] 633.450 6129.650 1218.250 1405.300 2274.900 1068.850 533.900 676.150
## [6169] 3804.400 1118.800 5236.400 1386.800 762.250 1902.000 239.050 5673.700
## [6177] 39.800 997.750 5574.350 406.050 138.850 1801.100 689.000 790.700
## [6185] 582.500 1618.200 1173.350 900.900 2122.050 6719.900 69.150 3784.000
## [6193] 1798.650 54.650 3886.450 1224.050 2310.200 723.400 3988.500 3554.600
## [6201] 6034.850 531.600 173.000 2511.950 3893.600 357.150 467.500 2288.700
## [6209] 4627.850 289.100 6460.550 1931.300 2221.550 7758.900 172.850 224.500
## [6217] 7388.450 3460.950 1700.900 3090.650 1293.800 645.800 5224.950 500.100
## [6225] 2427.100 3488.150 1035.700 7565.350 2799.000 1601.500 6256.200 1232.900
## [6233] 1937.400 1096.250 5059.750 3023.650 4889.200 2289.900 6503.200 1313.250
## [6241] 990.300 228.000 5746.150 209.100 1864.200 5979.700 3902.450 7142.500
## [6249] 902.000 4481.000 805.200 154.850 528.450 8349.700 4953.250 332.650
## [6257] 2259.350 1411.350 593.750 6328.700 1411.900 6841.400 3233.850 1062.100
## [6265] 4016.300 226.550 7110.750 5440.900 235.100 1958.950 5528.900 1463.700
## [6273] 1025.050 552.100 3815.400 3313.400 1938.900 3014.650 4839.150 2010.550
## [6281] 5139.650 1673.400 309.350 3171.600 8670.100 916.000 299.750 702.050
## [6289] 2354.800 3473.400 4438.200 4819.750 92.250 1567.000 1242.450 559.200
## [6297] 220.100 531.150 1183.200 465.850 6876.050 501.000 3782.400 460.200
## [6305] 1790.350 733.350 1334.000 7767.250 876.150 4600.950 113.550 1793.250
## [6313] 886.700 7737.550 1348.900 1686.850 1879.250 4013.800 7195.350 780.100
## [6321] 107.600 3801.700 308.700 438.250 50.350 3778.100 3147.500 5438.950
## [6329] 5102.350 1872.200 213.350 5617.750 5386.500 1776.950 2483.050 235.650
## [6337] 5224.350 2272.800 4663.400 201.700 125.000 684.400 620.350 1146.050
## [6345] 1806.350 603.000 5798.300 519.150 497.600 1301.700 1129.750 266.950
## [6353] 257.000 865.800 2623.650 1082.800 147.800 4378.900 3616.250 2924.050
## [6361] 6014.850 32.700 2882.250 1509.900 5305.050 2368.400 7985.900 3545.350
## [6369] 1301.000 2985.250 77.750 95.450 1311.750 1135.700 2319.800 3720.350
## [6377] 5025.800 5224.500 6185.800 1498.550 1208.600 6613.650 69.700 573.300
## [6385] 1818.900 1787.350 1051.050 7181.250 3688.600 871.400 780.500 821.600
## [6393] 239.450 244.450 3357.900 129.600 4977.200 365.350 334.650 2424.050
## [6401] 4981.150 2090.250 4905.750 2038.700 4014.000 2441.700 2751.000 1307.800
## [6409] 2868.050 7882.500 1087.700 791.700 7493.050 4414.300 6841.300 819.950
## [6417] 6052.250 3361.050 4869.500 509.300 4308.250 221.100 3833.950 294.950
## [6425] 4092.850 471.700 216.750 5720.950 503.250 7365.300 7245.900 385.000
## [6433] 961.400 4615.900 3251.300 3880.050 3088.750 1396.000 30.500 53.050
## [6441] 6859.500 2108.350 6770.500 4730.600 1151.050 232.550 1022.600 5121.300
## [6449] 1127.200 309.400 523.100 4250.100 770.500 3342.000 3930.600 1747.850
## [6457] 2754.450 897.750 2780.600 5895.450 2208.050 2196.150 1692.600 265.350
## [6465] 1836.250 6418.900 4871.450 4947.550 1558.650 4284.200 5617.950 24.200
## [6473] 679.850 554.450 5237.400 789.200 1525.350 2804.450 3726.150 1652.100
## [6481] 1588.750 3366.050 778.100 7113.750 4367.350 993.150 5012.350 2728.600
## [6489] 2093.400 1011.800
##
## $Status
## [1] "Current" "Left"
# Step 3: Transformations
# Convert categorical variables to factors
categorical_vars <- c("Status", "Gender", "Partner", "Dependents", "PhoneService",
"MultipleLines", "InternetService", "OnlineSecurity",
"OnlineBackup", "DeviceProtection", "TechSupport",
"StreamingTV", "StreamingMovies", "Contract",
"PaperlessBilling", "PaymentMethod")
data[categorical_vars] <- lapply(data[categorical_vars], as.factor)
# Normalize numerical columns: Tenure, MonthlyCharges, TotalCharges
numerical_vars <- c("Tenure", "MonthlyCharges", "TotalCharges")
data[numerical_vars] <- scale(data[numerical_vars])
# Step 4: Remove Redundant Data
# Check for duplicates
sum(duplicated(data))
## [1] 22
# Remove duplicates if any
data <- data[!duplicated(data), ]
# Step 5: Validate Data Integrity
# Check if TotalCharges aligns with Tenure and MonthlyCharges
data <- data %>%
mutate(ComputedTotal = Tenure * MonthlyCharges) %>%
mutate(IntegrityCheck = abs(ComputedTotal - TotalCharges) < 0.01)
# Any inconsistencies?
table(data$IntegrityCheck)
##
## FALSE TRUE
## 6918 59
# Drop the computed column
data <- select(data, -ComputedTotal, -IntegrityCheck)
# Save cleaned data
write.csv(data, "C:/Users/Mahika/OneDrive - University of Cincinnati/BANA 4080/data/cleaned_customer_retention.csv", row.names = FALSE)
# Display summary of cleaned data
summary(data)
## Gender SeniorCitizen Partner Dependents Tenure
## Female:3459 Min. :0.0000 No :3591 No :4872 Min. :-1.318502
## Male :3518 1st Qu.:0.0000 Yes:3386 Yes:2105 1st Qu.:-0.951971
## Median :0.0000 Median :-0.137457
## Mean :0.1622 Mean : 0.004029
## 3rd Qu.:0.0000 3rd Qu.: 0.921410
## Max. :1.0000 Max. : 1.613747
## PhoneService MultipleLines InternetService
## No : 676 No :3349 DSL :2403
## Yes:6301 No phone service: 676 Fiber optic:3069
## Yes :2952 No :1505
##
##
##
## OnlineSecurity OnlineBackup
## No :3463 No :3062
## No internet service:1505 No internet service:1505
## Yes :2009 Yes :2410
##
##
##
## DeviceProtection TechSupport
## No :3066 No :3440
## No internet service:1505 No internet service:1505
## Yes :2406 Yes :2032
##
##
##
## StreamingTV StreamingMovies Contract
## No :2784 No :2754 Month-to-month:3825
## No internet service:1505 No internet service:1505 One year :1465
## Yes :2688 Yes :2718 Two year :1687
##
##
##
## PaperlessBilling PaymentMethod MonthlyCharges
## No :2850 Bank transfer (automatic):1534 Min. :-1.544864
## Yes:4127 Credit card (automatic) :1512 1st Qu.:-0.966817
## Electronic check :2344 Median : 0.187616
## Mailed check :1587 Mean : 0.003014
## 3rd Qu.: 0.835428
## Max. : 1.793856
## TotalCharges Status
## Min. :-0.999205 Current:5133
## 1st Qu.:-0.825761 Left :1844
## Median :-0.389082
## Mean : 0.003127
## 3rd Qu.: 0.672358
## Max. : 2.827340
# Check the distribution of churn ('Status')
churn_distribution <- data %>%
count(Status) %>%
mutate(Percent = n / sum(n) * 100)
print(churn_distribution)
## # A tibble: 2 × 3
## Status n Percent
## <fct> <int> <dbl>
## 1 Current 5133 73.6
## 2 Left 1844 26.4
ggplot(churn_distribution, aes(x = Status, y = Percent, fill = Status)) +
geom_bar(stat = "identity", position = position_dodge(), width = 0.7) +
scale_fill_manual(values = c("blue", "red")) +
labs(
title = "Churn Distribution",
y = "Percentage of Customers",
x = "Customer Status"
) +
theme_minimal(base_size = 14) +
theme(
plot.title = element_text(hjust = 0.5, face = "bold"),
axis.title.x = element_text(face = "bold"),
axis.title.y = element_text(face = "bold")
)
# Categorical Predictors vs. Churn
plot_list <- list()
for (var in categorical_vars) {
p <- ggplot(data, aes_string(x = var, fill = "Status")) +
geom_bar(position = "fill") +
labs(title = paste("Churn by", var), y = "Proportion", x = var) +
theme_minimal() +
theme(axis.text.x = element_text(angle = 45, hjust = 1))
plot_list[[var]] <- p
}
## Warning: `aes_string()` was deprecated in ggplot2 3.0.0.
## ℹ Please use tidy evaluation idioms with `aes()`.
## ℹ See also `vignette("ggplot2-in-packages")` for more information.
## This warning is displayed once every 8 hours.
## Call `lifecycle::last_lifecycle_warnings()` to see where this warning was
## generated.
# Print all plots
for (p in plot_list) {
print(p)
}
# Numerical Predictors vs. Churn
numerical_vars <- c("Tenure", "MonthlyCharges", "TotalCharges")
boxplot_list <- list()
for (var in numerical_vars) {
p <- ggplot(data, aes_string(x = "Status", y = var, fill = "Status")) +
geom_boxplot() +
labs(title = paste("Churn by", var), y = var, x = "Status") +
theme_minimal()
boxplot_list[[var]] <- p
}
# Print all boxplots
for (p in boxplot_list) {
print(p)
}
# Correlation Analysis for Numerical Predictors
cor_matrix <- data %>%
select(all_of(numerical_vars)) %>%
cor(use = "complete.obs")
# Correlation heatmap
corrplot(cor_matrix, method = "color", type = "upper",
addCoef.col = "black", title = "Correlation Heatmap",
mar = c(0, 0, 1, 0))
# Interaction Analysis: Example - Contract Type and Monthly Charges
ggplot(data, aes(x = Contract, y = MonthlyCharges, fill = Status)) +
geom_boxplot() +
labs(title = "Interaction: Contract Type and Monthly Charges", y = "Monthly Charges", x = "Contract") +
theme_minimal()
# Load required libraries
library(caret)
## Warning: package 'caret' was built under R version 4.4.2
## Loading required package: lattice
library(ROCR)
## Warning: package 'ROCR' was built under R version 4.4.2
library(randomForest)
## Warning: package 'randomForest' was built under R version 4.4.2
## randomForest 4.7-1.2
## Type rfNews() to see new features/changes/bug fixes.
##
## Attaching package: 'randomForest'
## The following object is masked from 'package:ggplot2':
##
## margin
## The following object is masked from 'package:dplyr':
##
## combine
library(rpart)
## Warning: package 'rpart' was built under R version 4.4.2
library(e1071)
## Warning: package 'e1071' was built under R version 4.4.2
# Convert Status to a binary factor: 'Left' and 'Current'
data$Status <- factor(ifelse(data$Status == "Left", "Left", "Current"), levels = c("Current", "Left"))
# Split the data
set.seed(123) # For reproducibility
trainIndex <- createDataPartition(data$Status, p = 0.7, list = FALSE)
train_data <- data[trainIndex, ]
test_data <- data[-trainIndex, ]
# Define control for cross-validation
control <- trainControl(method = "cv",
number = 5,
classProbs = TRUE,
summaryFunction = twoClassSummary,
savePredictions = "final")
# Logistic Regression
set.seed(123)
log_model <- train(Status ~ ., data = train_data, method = "glm",
family = "binomial", trControl = control,
metric = "ROC")
# Decision Tree
set.seed(123)
tree_model <- train(Status ~ ., data = train_data, method = "rpart",
trControl = control, metric = "ROC")
# Random Forest
set.seed(123)
rf_model <- train(Status ~ ., data = train_data, method = "rf",
trControl = control, metric = "ROC")
# Compare AUC across models
results <- resamples(list(Logistic = log_model, Tree = tree_model, RF = rf_model))
summary(results)
##
## Call:
## summary.resamples(object = results)
##
## Models: Logistic, Tree, RF
## Number of resamples: 5
##
## ROC
## Min. 1st Qu. Median Mean 3rd Qu. Max. NA's
## Logistic 0.8222202 0.8439882 0.8473203 0.8444064 0.8487228 0.8597805 0
## Tree 0.6877284 0.7116695 0.7125611 0.7419441 0.7879697 0.8097918 0
## RF 0.8045412 0.8273261 0.8289175 0.8319312 0.8472523 0.8516189 0
##
## Sens
## Min. 1st Qu. Median Mean 3rd Qu. Max. NA's
## Logistic 0.8887344 0.8901252 0.8941504 0.8928774 0.8942976 0.8970793 0
## Tree 0.8997214 0.9026426 0.9082058 0.9154102 0.9207232 0.9457580 0
## RF 0.9346314 0.9374131 0.9568245 0.9513093 0.9624478 0.9652295 0
##
## Spec
## Min. 1st Qu. Median Mean 3rd Qu. Max. NA's
## Logistic 0.5193798 0.5232558 0.5521236 0.5453084 0.5620155 0.5697674 0
## Tree 0.3953488 0.4263566 0.4612403 0.4476849 0.4689922 0.4864865 0
## RF 0.3062016 0.3294574 0.3294574 0.3338242 0.3372093 0.3667954 0
dotplot(results)
# Evaluate the best model on test data
best_model <- rf_model # Assuming Random Forest performs best
predictions <- predict(best_model, newdata = test_data, type = "prob")
pred_class <- ifelse(predictions[, 2] > 0.5, "Left", "Current")
# Confusion matrix
confusionMatrix(factor(pred_class), factor(test_data$Status))
## Confusion Matrix and Statistics
##
## Reference
## Prediction Current Left
## Current 1450 343
## Left 89 210
##
## Accuracy : 0.7935
## 95% CI : (0.7755, 0.8107)
## No Information Rate : 0.7357
## P-Value [Acc > NIR] : 4.456e-10
##
## Kappa : 0.3775
##
## Mcnemar's Test P-Value : < 2.2e-16
##
## Sensitivity : 0.9422
## Specificity : 0.3797
## Pos Pred Value : 0.8087
## Neg Pred Value : 0.7023
## Prevalence : 0.7357
## Detection Rate : 0.6931
## Detection Prevalence : 0.8571
## Balanced Accuracy : 0.6610
##
## 'Positive' Class : Current
##
# AUC for test data
roc <- prediction(predictions[, 2], ifelse(test_data$Status == "Left", 1, 0))
auc <- performance(roc, "auc")@y.values[[1]]
print(paste("AUC on Test Data:", auc))
## [1] "AUC on Test Data: 0.836947032372305"
# Feature importance
varImpPlot(best_model$finalModel)
# Collect predicted churn customers
test_data$predicted_prob <- predictions[, 2]
churn_customers <- test_data %>%
filter(predicted_prob > 0.5) # Customers predicted to leave
# Calculate predicted revenue loss
predicted_loss <- sum(churn_customers$MonthlyCharges)
print(paste("Predicted monthly revenue loss:", predicted_loss))
## [1] "Predicted monthly revenue loss: 149.43356529028"
# Retention Incentive Scheme
# Assume offering a 20% discount on monthly charges for retention
discount_rate <- 0.2
retention_cost <- sum(churn_customers$MonthlyCharges * discount_rate)
# Compare cost vs. benefit
retained_revenue <- predicted_loss - retention_cost
print(paste("Retained revenue after applying incentives:", retained_revenue))
## [1] "Retained revenue after applying incentives: 119.546852232224"
# Summarize results
cat("Key Insights:\n")
## Key Insights:
cat("- Predicted monthly revenue loss if no action is taken:", predicted_loss, "\n")
## - Predicted monthly revenue loss if no action is taken: 149.4336
cat("- Cost of retention incentive (20% discount):", retention_cost, "\n")
## - Cost of retention incentive (20% discount): 29.88671
cat("- Net benefit of incentive:", retained_revenue, "\n")
## - Net benefit of incentive: 119.5469