Design Concepts and Methodologies
CME Group Foundation Business Analytics Lab
Jax Farquhar
Spring 2018
Notebook Instructions
For your assignment you may be using different dataset than what is included here.
Always read carefully the instructions on Sakai.
Tasks/questions to be completed/answered are highlighted in larger bolded fonts and numbered according to the task section.
Task 1
Installing packages in R/RStudio.
We are going to use tidyverse a collection of R packages designed for data science. All packages share an underlying design philosophy, grammar, and data structures.
## Loading required package: tidyverse## -- Attaching packages ------------------------------------------------------------------------------------------- tidyverse 1.2.1 --## v ggplot2 2.2.1 v purrr 0.2.4
## v tibble 1.4.2 v dplyr 0.7.4
## v tidyr 0.7.2 v stringr 1.2.0
## v readr 1.1.1 v forcats 0.2.0## -- Conflicts ---------------------------------------------------------------------------------------------- tidyverse_conflicts() --
## x dplyr::filter() masks stats::filter()
## x dplyr::lag() masks stats::lag()1A) Read the csv file into R Studio and display the dataset.
- Name your dataset ‘mydata’ so it easy to work with.
- Commands: read_csv() head()
mydata = read_csv("data/Scoring.csv")## Parsed with column specification:
## cols(
## Status = col_character(),
## Seniority = col_integer(),
## Home = col_character(),
## Time = col_integer(),
## Age = col_integer(),
## Marital = col_character(),
## Records = col_character(),
## Job = col_character(),
## Expenses = col_integer(),
## Income = col_integer(),
## Assets = col_integer(),
## Debt = col_integer(),
## Amount = col_character(),
## Price = col_character(),
## Finrat = col_double(),
## Savings = col_double()
## )Extract the assigned features (columns) to perform some analytics
To extract the features (columns) from the dataset, use the name of the dataset follow by ‘$’ sign and the name the specific column.
Extract the first feature (column)
#Extracting the Checking Column
expenses = mydata$Expenses
#Calling the Checking Column
expenses## [1] 73 48 90 63 46 75 75 35 90 90 60 60 75 75 35 75 35
## [18] 65 45 35 46 45 105 74 45 60 75 75 75 45 45 75 75 35
## [35] 45 45 75 70 45 44 75 35 45 75 35 35 75 48 60 60 75
## [52] 105 75 60 85 35 45 60 90 70 90 35 75 75 75 75 60 45
## [69] 93 60 60 45 75 75 86 90 45 70 45 60 60 60 35 75 35
## [86] 47 60 40 60 35 35 101 95 140 75 45 35 120 89 45 73 75
## [103] 78 35 75 76 90 45 35 79 45 90 35 60 75 35 75 45 35
## [120] 75 57 75 66 114 45 35 75 35 90 75 45 75 60 65 75 60
## [137] 45 60 45 47 60 90 75 119 35 105 60 35 45 60 35 45 60
## [154] 35 75 78 35 45 75 90 75 35 60 57 60 45 75 42 75 45
## [171] 77 75 74 75 35 35 60 75 45 45 113 75 75 75 75 75 60
## [188] 78 46 45 120 75 90 45 60 75 87 126 45 35 90 45 75 75
## [205] 60 45 35 75 105 75 75 35 35 45 45 60 60 45 90 105 60
## [222] 60 60 35 35 75 60 45 35 35 100 56 45 57 45 62 45 45
## [239] 90 90 90 60 35 45 35 35 45 45 45 45 73 94 105 60 60
## [256] 77 60 88 45 93 60 105 60 75 35 45 75 60 60 60 60 44
## [273] 60 35 35 75 56 35 45 75 35 60 60 60 75 60 45 75 60
## [290] 75 60 90 73 60 90 45 45 45 45 35 35 75 90 59 87 35
## [307] 60 90 85 75 60 60 96 45 45 45 45 45 87 60 35 90 35
## [324] 71 75 45 75 60 75 60 75 90 35 45 75 90 60 45 60 173
## [341] 60 60 60 60 90 60 110 45 70 60 75 60 35 45 35 75 75
## [358] 45 45 75 35 75 35 90 60 113 60 75 76 45 90 45 75 35
## [375] 35 90 72 60 49 58 66 35 75 75 60 60 35 35 75 68 90
## [392] 60 75 60 35 45 75 70 60 60 75 35 49 45 75 45 45 60
## [409] 66 45 45 63 45 67 84 90 35 35 75 75 60 82 86 35 35
## [426] 60 71 60 80 45 54 51 60 75 86 60 75 45 95 45 60 35
## [443] 45 55 45 85 63 35 75 45 45 50 60 45 60 60 45 45 75
## [460] 35 35 45 75 75 49 60 60 60 75 60 90 45 75 60 58 35
## [477] 45 107 45 54 35 90 75 60 60 54 45 43 45 60 60 60 75
## [494] 35 62 35 35 35 45 75 35 66 35 35 90 75 68 90 60 45
## [511] 45 75 52 45 68 77 45 45 46 45 35 45 45 75 60 60 45
## [528] 75 60 35 59 75 69 45 45 75 35 60 101 45 60 60 75 75
## [545] 75 75 35 75 60 44 75 75 75 60 64 66 45 91 35 45 90
## [562] 35 35 135 60 75 90 45 45 45 45 88 45 45 75 75 60 120
## [579] 93 35 90 60 45 75 75 35 35 105 90 45 75 75 90 60 75
## [596] 76 45 35 90 35 84 60 105 75 60 75 103 90 35 56 75 105
## [613] 45 35 90 90 45 60 69 77 75 90 45 55 60 60 74 56 60
## [630] 60 82 60 75 35 48 45 60 60 75 69 45 75 75 74 45 45
## [647] 60 59 35 45 60 45 39 60 35 60 91 75 44 90 75 35 45
## [664] 60 45 35 63 75 56 75 85 60 90 60 90 45 58 90 60 52
## [681] 60 90 75 35 52 87 35 85 35 102 130 75 75 105 75 35 75
## [698] 107 85 40 45 52 65 85 60 35 60 35 60 60 35 35 90 45
## [715] 35 75 45 35 91 60 75 45 90 35 45 90 45 60 56 35 75
## [732] 45 75 35 60 35 75 73 60 75 68 60 35 35 60 66 35 35
## [749] 75 60 45 75 60 45 60 69 60 60 74 45 45 60 35 60 45
## [766] 90 75 90 118 75 60 60 75 35 45 45 90 60 45 68 75 60
## [783] 135 60 35 75 45 60 90 35 35 78 60 35 43 35 75 35 45
## [800] 45 75 35 90 61 135 92 35 102 60 84 90 75 35 45 60 60
## [817] 105 45 60 90 35 45 105 75 35 64 90 45 75 60 75 35 90
## [834] 70 45 60 60 75 85 53 90 45 105 60 90 35 35 90 35 35
## [851] 62 35 75 75 45 35 45 75 45 90 45 60 60 75 45 60 90
## [868] 90 45 100 45 75 75 97 90 60 45 90 35 75 72 70 60 35
## [885] 105 60 75 35 55 35 75 45 58 74 60 45 60 35 51 45 35
## [902] 90 35 60 60 108 56 90 78 58 74 75 60 60 88 75 35 75
## [919] 35 45 35 45 35 90 35 60 60 45 77 45 45 82 75 35 45
## [936] 75 75 45 60 45 35 75 60 42 78 35 35 45 75 60 59 75
## [953] 102 35 35 75 35 75 75 93 45 88 35 69 45 75 90 75 35
## [970] 57 35 103 90 35 35 60 35 45 35 97 45 35 75 45 60 35
## [987] 60 75 75 45 60 35 60 60 113 60 45 35 124 75 35 45 60
## [1004] 60 75 45 90 45 60 60 35 90 75 35 35 83 60 45 90 90
## [1021] 88 79 60 60 45 35 75 58 60 75 75 45 45 45 45 35 85
## [1038] 46 75 75 35 60 35 35 35 59 45 45 35 75 75 69 35 60
## [1055] 105 60 57 56 60 75 35 75 75 46 60 47 35 60 60 51 75
## [1072] 75 45 75 66 75 35 84 100 75 49 75 53 35 60 75 52 35
## [1089] 45 60 45 35 50 35 45 60 82 49 90 70 35 45 60 75 74
## [1106] 60 35 35 153 60 35 35 60 75 60 35 75 45 79 81 35 35
## [1123] 70 45 75 35 49 45 90 90 45 75 60 70 35 75 105 35 90
## [1140] 35 60 60 42 45 74 45 75 45 65 45 45 35 45 45 60 35
## [1157] 45 35 75 35 60 90 67 105 60 45 75 60 66 60 42 35 75
## [1174] 75 75 35 44 68 75 95 45 82 60 60 85 45 86 75 60 35
## [1191] 60 90 60 43 60 35 75 35 43 60 80 79 52 35 96 35 45
## [1208] 135 35 75 60 60 54 75 94 60 75 60 75 45 35 90 90 75
## [1225] 60 45 60 60 45 54 60 82 75 45 75 90 75 35 73 75 45
## [1242] 60 35 75 50 45 35 60 60 43 60 60 60 35 35 35 90 35
## [1259] 60 35 45 35 90 45 93 35 35 60 35 35 35 90 41 35 78
## [1276] 35 35 45 90 119 61 74 47 35 45 75 45 50 45 45 35 80
## [1293] 75 86 80 35 45 35 60 74 75 75 60 45 75 42 35 84 103
## [1310] 35 35 135 60 60 90 45 75 105 75 58 60 60 90 54 62 75
## [1327] 60 45 35 35 75 75 45 35 35 75 60 90 45 60 77 75 75
## [1344] 45 35 45 45 35 35 42 86 35 75 35 60 60 60 55 60 75
## [1361] 60 90 75 75 35 35 75 45 58 75 94 88 35 105 42 45 75
## [1378] 45 45 42 75 77 60 35 45 60 68 35 35 35 91 35 60 35
## [1395] 75 47 59 60 60 60 45 75 35 45 75 45 60 75 90 59 90
## [1412] 35 45 45 75 61 75 78 90 60 45 45 75 90 35 75 120 91
## [1429] 60 45 91 45 45 45 80 75 45 62 60 75 75 45 35 90 90
## [1446] 45 60 60 98 60 75 35 76 45 45 35 90 39 45 35 120 35
## [1463] 45 90 85 60 58 60 75 35 70 35 35 90 67 72 45 60 90
## [1480] 35 60 60 90 35 35 90 45 60 60 45 45 75 75 75 45 35
## [1497] 45 90 75 46 45 95 120 75 75 75 45 45 45 60 35 60 45
## [1514] 60 57 90 45 45 45 94 60 45 53 35 75 35 75 35 35 58
## [1531] 60 60 60 74 60 75 35 60 60 60 75 75 60 35 60 75 81
## [1548] 75 75 45 85 60 88 60 90 78 86 60 45 105 60 45 45 105
## [1565] 49 75 75 60 74 45 45 35 45 35 60 45 70 75 35 35 75
## [1582] 83 75 60 60 35 35 90 35 44 45 60 50 75 75 90 45 60
## [1599] 75 46 75 35 35 35 75 75 55 45 54 45 75 35 45 60 75
## [1616] 90 73 40 75 35 66 52 35 90 35 60 96 59 35 45 35 45
## [1633] 35 75 45 75 60 67 60 60 75 60 90 45 77 47 45 50 47
## [1650] 35 60 75 60 75 90 45 75 35 48 75 45 81 60 60 102 35
## [1667] 45 60 60 60 35 68 44 35 35 60 53 35 45 60 75 75 60
## [1684] 45 60 35 60 45 35 45 35 35 75 70 35 45 50 45 75 45
## [1701] 81 86 60 59 35 35 35 75 60 35 45 81 75 75 45 45 60
## [1718] 60 45 55 75 83 90 35 75 80 35 90 60 78 90 84 100 60
## [1735] 35 35 56 75 35 75 45 35 45 75 75 60 35 35 90 45 44
## [1752] 83 89 75 45 75 35 45 45 90 90 35 57 75 90 90 35 35
## [1769] 60 45 35 45 45 35 59 54 35 60 60 60 45 57 75 35 75
## [1786] 35 75 45 45 45 35 90 75 85 101 47 35 35 60 35 69 75
## [1803] 75 90 131 75 60 35 75 60 60 75 60 45 75 35 35 35 75
## [1820] 75 75 75 60 35 52 45 35 60 60 35 75 35 45 35 35 101
## [1837] 60 75 75 41 57 60 35 60 45 135 35 75 35 45 45 75 60
## [1854] 45 35 35 75 60 76 35 84 90 75 75 60 75 35 75 60 75
## [1871] 75 85 45 45 45 45 35 75 60 60 88 91 95 75 91 75 75
## [1888] 75 45 45 75 35 45 90 67 35 45 60 35 60 35 90 35 57
## [1905] 90 75 75 75 35 45 45 55 45 35 35 60 45 35 60 105 41
## [1922] 90 75 105 75 60 51 45 35 35 45 35 75 60 82 105 85 93
## [1939] 90 35 35 55 35 75 35 60 120 81 60 60 75 85 75 58 45
## [1956] 75 90 75 60 75 45 48 92 35 150 91 45 75 45 135 35 120
## [1973] 35 35 45 35 45 35 45 35 45 75 75 35 59 35 35 75 112
## [1990] 75 60 75 50 35 45 67 93 45 79 60 60 45 45 105 46 35
## [2007] 75 87 75 45 75 60 75 35 60 90 60 60 35 60 75 41 35
## [2024] 35 75 35 60 45 60 45 67 75 60 87 45 60 75 35 60 45
## [2041] 35 45 45 45 67 60 60 35 60 60 90 90 52 45 89 60 90
## [2058] 71 85 84 60 35 90 90 105 45 35 35 45 45 60 75 45 45
## [2075] 87 85 75 60 35 60 91 45 60 45 45 35 90 45 86 75 89
## [2092] 35 35 45 71 60 75 35 54 35 90 75 75 90 60 45 35 51
## [2109] 74 75 45 60 47 75 60 75 75 60 35 75 45 45 90 60 71
## [2126] 63 75 60 60 75 90 75 35 60 60 88 67 75 60 35 45 60
## [2143] 75 75 105 75 35 60 75 88 45 75 45 50 60 95 75 75 75
## [2160] 45 75 81 60 90 60 52 60 57 47 77 75 90 45 49 60 35
## [2177] 45 90 75 75 35 90 75 45 90 35 75 75 35 60 35 90 35
## [2194] 60 60 68 82 75 93 75 75 35 60 53 45 82 45 90 45 35
## [2211] 83 75 60 35 75 60 39 75 75 60 60 35 35 45 45 75 45
## [2228] 60 75 57 60 60 53 45 75 45 35 60 45 45 75 35 45 45
## [2245] 84 60 60 83 93 90 60 45 53 60 43 60 92 75 75 60 60
## [2262] 95 75 75 75 45 60 59 45 60 90 105 35 60 165 67 35 78
## [2279] 35 54 60 35 45 45 90 60 75 35 75 90 75 35 75 75 45
## [2296] 90 75 56 35 90 60 60 75 60 90 45 96 75 45 53 89 45
## [2313] 75 35 35 60 60 35 52 35 57 115 75 56 45 180 35 60 90
## [2330] 100 61 35 60 50 35 45 75 35 75 45 60 60 75 90 35 45
## [2347] 75 75 75 45 75 35 45 60 45 60 45 75 35 75 60 45 60
## [2364] 60 56 50 35 75 105 75 35 75 35 35 75 60 43 45 90 60
## [2381] 35 35 35 75 75 110 77 75 35 35 35 75 35 42 75 75 75
## [2398] 75 49 45 75 79 85 60 35 75 35 45 90 45 45 114 60 58
## [2415] 54 75 41 60 35 42 103 60 60 45 109 44 60 35 35 45 135
## [2432] 35 60 45 60 75 35 61 75 45 60 74 75 35 60 35 45 45
## [2449] 35 62 75 97 60 35 70 35 35 60 58 60 35 75 82 90 35
## [2466] 35 45 60 60 75 90 66 35 35 45 45 35 66 35 45 45 85
## [2483] 60 35 51 45 75 35 35 55 42 35 35 35 70 35 76 45 60
## [2500] 60 35 60 45 35 68 60 35 90 46 45 35 45 35 45 35 46
## [2517] 35 45 45 35 60 35 53 45 90 75 75 60 60 45 35 45 45
## [2534] 35 45 60 35 51 75 43 103 45 45 48 35 60 35 35 60 76
## [2551] 75 75 74 45 75 60 35 75 75 45 35 35 49 90 57 35 75
## [2568] 49 35 45 113 45 35 35 44 60 60 35 45 60 35 35 45 45
## [2585] 60 35 41 45 35 60 45 45 45 60 75 75 45 60 35 43 65
## [2602] 35 54 35 35 35 79 60 45 60 35 45 60 75 60 35 35 45
## [2619] 45 45 45 45 45 99 60 45 75 35 90 60 35 45 43 62 60
## [2636] 35 35 35 45 35 35 45 60 47 45 60 35 60 105 35 72 35
## [2653] 45 60 35 75 35 45 45 35 35 35 105 35 54 35 35 60 45
## [2670] 35 35 35 35 35 45 53 35 35 35 35 60 57 90 75 35 60
## [2687] 60 35 60 45 41 45 35 35 45 75 35 75 55 35 45 35 65
## [2704] 35 80 45 60 35 35 41 35 35 75 75 35 35 60 45 75 60
## [2721] 51 35 51 60 35 75 60 73 45 35 75 35 35 45 53 35 35
## [2738] 75 35 35 35 60 45 35 35 60 60 45 105 45 45 35 45 72
## [2755] 45 54 35 60 60 35 88 46 60 60 60 35 60 45 35 60 90
## [2772] 60 35 35 60 60 60 45 60 35 35 35 35 35 35 35 35 35
## [2789] 35 45 35 75 35 35 75 35 35 45 35 35 35 35 47 60 60
## [2806] 45 45 35 35 41 35 35 35 59 90 47 105 35 45 45 60 35
## [2823] 45 35 60 100 105 60 84 60 35 45 60 60 35 45 75 61 60
## [2840] 35 60 35 35 35 35 60 45 75 45 60 35 35 75 35 43 35
## [2857] 44 35 75 45 35 52 60 45 35 45 75 45 35 61 35 35 56
## [2874] 35 45 45 51 35 35 73 35 60 75 65 35 45 45 45 45 60
## [2891] 35 45 47 84 35 45 45 45 35 72 75 60 75 45 60 55 35
## [2908] 60 45 60 69 35 35 50 35 44 35 60 60 45 45 60 35 35
## [2925] 45 60 54 35 35 35 75 60 35 45 60 35 59 75 35 35 90
## [2942] 52 43 35 60 35 35 35 35 35 45 60 35 35 35 87 75 35
## [2959] 60 35 35 35 60 45 45 35 35 35 45 83 75 45 60 35 45
## [2976] 35 45 35 45 75 60 45 67 44 45 35 54 35 35 45 41 35
## [2993] 35 35 45 60 44 44 35 35 60 35 45 35 98 45 35 60 60
## [3010] 52 45 60 104 35 35 105 42 35 60 35 35 35 35 35 65 35
## [3027] 35 35 60 35 35 35 45 35 45 35 35 35 60 75 55 45 45
## [3044] 35 35 45 45 35 35 45 35 60 35 35 35 60 75 35 90 35
## [3061] 43 35 45 60 35 35 35 47 35 60 45 60 35 48 45 35 35
## [3078] 47 35 45 35 35 58 35 35 60 45 48 60 60 35 53 60 45
## [3095] 43 45 35 35 60 35 35 45 60 90 70 45 60 45 83 45 35
## [3112] 35 45 75 35 60 59 45 54 60 47 45 35 60 35 35 45 35
## [3129] 35 35 60 35 45 45 35 45 45 35 35 35 60 45 45 105 35
## [3146] 60 60 56 90 45 60 35 75 68 35 60 49 60 35 35 60 64
## [3163] 45 35 66 45 35 60 45 45 60 168 35 35 35 35 75 60 35
## [3180] 45 46 45 52 74 35 35 45 60 45 45 60 35 75 60 54 60
## [3197] 35 35 60 42 45 45 89 35 60 87 45 35 35 45 60 41 75
## [3214] 45 45 45 75 45 51 60 66 35 82 35 60 35 60 35 35 35
## [3231] 90 49 60 72 35 60 35 75 60 75 35 35 80 44 35 108 60
## [3248] 60 35 35 45 46 35 75 35 60 45 41 60 60 60 45 75 45
## [3265] 54 60 35 35 45 60 100 60 35 61 35 60 60 45 60 35 35
## [3282] 35 42 48 35 58 35 35 45 35 35 47 35 90 45 35 60 35
## [3299] 35 35 35 35 35 35 35 45 35 35 60 60 58 75 45 45 60
## [3316] 45 35 35 77 35 45 35 60 60 35 35 60 60 35 60 47 35
## [3333] 45 35 35 45 60 35 45 35 45 55 35 35 35 46 45 75 50
## [3350] 56 60 51 35 55 46 60 45 35 60 35 57 35 54 72 60 60
## [3367] 35 35 35 55 35 35 35 45 45 90 35 60 75 45 78 35 35
## [3384] 35 35 35 35 35 44 51 35 45 35 75 79 73 45 60 60 35
## [3401] 35 45 35 35 75 45 60 60 60 35 60 90 59 90 35 42 45
## [3418] 60 35 60 60 35 45 45 45 60 35 51 60 35 45 60 35 35
## [3435] 42 45 60 35 35 44 35 45 35 35 75 35 60 45 70 35 46
## [3452] 45 60 45 45 35 35 75 60 45 45 65 45 35 45 45 45 54
## [3469] 60 90 56 53 35 35 45 45 45 35 75 35 75 55 45 45 35
## [3486] 35 35 35 35 35 35 45 45 60 35 84 75 45 60 45 35 58
## [3503] 60 45 60 35 35 35 35 35 45 35 60 35 60 45 60 75 45
## [3520] 45 35 45 35 45 35 35 35 35 45 75 45 35 45 68 59 60
## [3537] 35 45 35 55 54 45 45 35 77 35 45 35 44 88 80 60 35
## [3554] 35 37 60 47 45 35 35 60 35 60 60 75 35 45 65 35 75
## [3571] 35 75 60 75 45 35 45 35 35 79 60 35 45 35 90 60 75
## [3588] 81 76 35 59 103 45 60 35 35 62 45 60 75 35 90 35 43
## [3605] 35 35 35 35 35 35 45 45 75 45 60 35 64 35 35 45 35
## [3622] 60 45 35 75 45 45 60 54 45 45 82 60 35 60 35 35 35
## [3639] 45 35 35 35 35 35 60 45 46 35 35 35 35 63 75 35 57
## [3656] 35 35 35 35 35 60 45 45 62 60 60 60 35 60 35 45 60
## [3673] 35 54 35 45 60 60 45 60 35 35 75 35 69 35 35 57 96
## [3690] 45 54 72 35 46 45 45 64 45 45 55 75 60 35 45 60 35
## [3707] 60 45 35 45 60 35 35 60 60 35 59 45 35 75 60 35 35
## [3724] 35 35 90 65 35 45 35 35 45 35 60 53 35 35 56 53 35
## [3741] 60 53 60 45 60 92 60 104 45 35 75 35 52 35 45 35 42
## [3758] 42 73 45 35 35 60 45 35 45 51 35 35 45 35 35 60 35
## [3775] 60 60 45 35 60 47 35 45 60 35 58 105 60 35 43 45 35
## [3792] 60 45 60 35 35 35 60 60 35 35 60 42 35 35 63 35 72
## [3809] 35 75 35 35 60 60 45 60 35 75 60 35 35 45 35 35 35
## [3826] 90 60 35 55 75 35 35 60 60 71 35 60 60 35 35 60 35
## [3843] 35 47 60 75 35 45 35 45 35 45 56 45 60 75 35 35 35
## [3860] 51 35 45 57 35 60 45 60 45 45 56 50 60 61 45 38 42
## [3877] 60 57 45 45 45 45 35 75 35 35 55 35 60 45 35 40 60
## [3894] 35 60 41 45 55 60 60 35 35 45 47 38 35 60 60 35 45
## [3911] 42 35 60 60 35 35 44 60 60 45 35 75 75 60 60 35 76
## [3928] 60 45 55 75 43 45 35 65 35 45 60 35 60 35 35 45 35
## [3945] 60 35 35 35 45 35 45 45 44 60 35 45 86 75 60 45 45
## [3962] 35 35 48 35 60 89 60 60 72 35 49 80 35 74 35 60 35
## [3979] 35 35 35 35 55 60 45 45 70 45 35 35 54 35 60 45 60
## [3996] 35 35 75 35 77 45 84 35 35 39 35 35 46 35 35 97 60
## [4013] 35 45 75 35 35 35 45 44 35 35 45 60 75 53 70 45 41
## [4030] 35 52 69 56 57 35 35 73 35 60 106 35 90 35 35 35 35
## [4047] 45 45 35 75 90 60 47 60 45 45 35 35 69 35 45 45 75
## [4064] 35 45 60 35 35 35 90 35 77 35 75 35 60 35 60 45 60
## [4081] 45 60 84 60 35 45 35 35 75 46 45 75 35 35 35 45 35
## [4098] 35 35 54 75 35 60 35 65 64 35 45 45 60 35 75 68 60
## [4115] 35 45 75 45 60 35 35 35 35 35 75 35 35 35 35 35 35
## [4132] 45 45 35 75 50 62 49 45 60 35 60 35 35 60 45 35 35
## [4149] 60 60 35 75 35 60 35 45 75 60 35 35 35 35 46 45 35
## [4166] 35 60 35 35 45 35 51 45 45 35 94 35 43 60 45 46 45
## [4183] 45 35 35 90 45 45 75 35 105 52 60 35 35 45 35 35 46
## [4200] 49 84 35 45 45 70 35 42 35 35 45 45 35 35 35 45 60
## [4217] 60 45 60 45 45 35 35 35 60 97 60 71 35 35 47 60 60
## [4234] 43 60 48 35 45 45 77 60 45 45 60 60 35 35 90 60 45
## [4251] 45 35 57 60 45 35 35 85 105 35 75 35 35 75 72 35 45
## [4268] 45 45 60 35 60 45 75 35 35 56 66 45 40 35 45 35 60
## [4285] 48 35 35 45 35 47 45 35 35 70 45 45 35 41 35 35 35
## [4302] 47 60 35 60 35 35 70 35 60 71 35 60 69 35 48 47 35
## [4319] 90 45 35 60 35 45 35 35 35 35 35 35 35 35 35 35 60
## [4336] 58 60 35 60 48 60 75 60 70 35 35 60 45 45 35 35 60
## [4353] 45 35 35 35 61 45 51 60 45 60 75 45 60 44 45 60 60
## [4370] 35 75 45 35 45 45 35 60 45 35 35 45 48 74 60 35 45
## [4387] 35 60 35 45 45 35 35 74 35 54 35 42 57 46 45 60 45
## [4404] 35 45 45 53 45 45 45 45 35 45 35 66 35 45 35 60 75
## [4421] 45 75 45 75 35 35 45 45 35 45 75 60 35 45 35 35 35
## [4438] 90 45 35 75 69 60 60 49 60Now, use the same procedure to extract the other feature
#Extracting the feature (column)
savings = mydata$Savings
#Calling the feature (column)
savings## [1] 4.20000000 4.98000000 1.98000000 7.93333333 7.08387097
## [6] 12.83076923 1.87500000 2.70000000 0.85000000 -0.40000000
## [11] 2.71304348 3.37846154 3.96000000 5.54400000 0.67500000
## [16] 1.49333333 4.72000000 4.60000000 3.70909091 4.89600000
## [21] 2.44000000 15.21818182 0.20000000 4.16842105 4.35555556
## [26] 3.60000000 6.30000000 3.52000000 0.40000000 3.14181818
## [31] 6.93000000 6.56000000 2.70000000 4.41818182 2.53714286
## [36] 7.82400000 2.40000000 1.64842105 4.00000000 1.69846154
## [41] 4.13333333 12.31578947 3.21600000 -0.16000000 4.43478261
## [46] 4.37142857 5.13600000 6.40000000 4.32000000 2.81250000
## [51] 1.00000000 9.80000000 4.52000000 2.16000000 0.72000000
## [56] 3.90000000 3.30000000 3.80000000 18.75000000 5.73770492
## [61] 2.61818182 2.45000000 2.76000000 2.77200000 2.26666667
## [66] 3.18000000 6.25000000 8.82352941 2.49000000 7.12000000
## [71] 2.82000000 12.40000000 13.32000000 0.61714286 1.32000000
## [76] 9.84000000 0.00000000 3.70285714 2.93333333 0.36000000
## [81] 5.89090909 0.42352941 13.68000000 7.50000000 0.62400000
## [86] 7.30000000 2.73492286 0.57692308 5.16000000 2.21052632
## [91] 2.81879195 14.97600000 8.59500000 7.20000000 4.50000000
## [96] 13.39200000 2.84210526 2.11200000 3.60000000 0.41600000
## [101] 3.10909091 3.80000000 5.64923077 2.58461539 14.40000000
## [106] 3.52000000 11.75000000 2.85000000 7.61142857 6.69473684
## [111] 2.27200000 8.28358209 1.51200000 13.82686567 0.66000000
## [116] 7.42500000 3.83478261 2.47578947 13.71428571 5.00000000
## [121] 3.86666667 1.83333333 6.83076923 15.05454545 9.17647059
## [126] 2.57142857 4.83870968 1.84615385 2.23200000 4.10526316
## [131] 0.64285714 4.84615385 7.50000000 11.57142857 7.70769231
## [136] 4.66666667 2.86956522 2.45454545 2.90400000 5.47500000
## [141] 1.26000000 1.64210526 5.00400000 20.23533333 3.04615385
## [146] -0.12705882 16.28571429 2.20000000 4.60000000 14.40000000
## [151] 2.30400000 8.45454545 0.00000000 7.28571429 0.78400000
## [156] 4.04000000 1.36000000 12.85714286 1.77600000 2.32258064
## [161] 3.40363636 8.61600000 16.02000000 3.78000000 17.54838710
## [166] 1.60000000 3.00000000 2.56000000 0.50769231 6.72000000
## [171] 3.91111111 1.48235294 2.74285714 9.00000000 2.13785790
## [176] 7.90000000 5.20000000 20.62500000 2.60000000 1.60000000
## [181] 4.43368421 0.42857143 5.35200000 2.50000000 3.17142857
## [186] 5.45629091 2.25000000 2.10000000 2.29714286 5.28000000
## [191] 6.48000000 5.10000000 1.68000000 0.99000000 2.10000000
## [196] 0.63157895 1.68224299 9.64137931 1.75000000 1.82857143
## [201] 2.78400000 8.92941176 8.09142857 6.00000000 -1.12800000
## [206] 5.96000000 1.80000000 3.78000000 1.53000000 3.70800000
## [211] 3.30000000 1.00800000 2.54400000 4.75000000 5.60000000
## [216] 1.25454545 3.02400000 3.72000000 4.47272727 6.00000000
## [221] 8.14736842 3.37226277 3.50400000 7.01219512 6.22800000
## [226] 7.00000000 2.91000000 4.76666667 3.06000000 2.20000000
## [231] 0.00000000 4.74000000 2.86956522 3.60000000 2.57142857
## [236] 3.18000000 2.96470588 12.10000000 6.61714286 2.62222222
## [241] 3.84000000 3.60000000 11.46000000 6.95294118 1.26315789
## [246] 9.90000000 14.25000000 1.33333333 4.83116883 4.75000000
## [251] 4.45714286 4.55000000 3.13090909 4.50000000 3.60000000
## [256] 4.29230769 15.14040000 2.01600000 5.70857143 6.30000000
## [261] 11.24000000 2.68915663 4.92000000 9.28800000 7.01298701
## [266] 6.42857143 1.68000000 8.49600000 5.82000000 1.76842105
## [271] 3.48000000 2.82000000 4.20000000 2.54400000 4.53333333
## [276] -0.30000000 4.61538461 11.34000000 1.92000000 3.46909091
## [281] 6.16000000 3.78000000 0.52941176 13.96363636 6.80000000
## [286] 3.50000000 5.01818182 6.54000000 6.57000000 5.91428571
## [291] 2.16000000 0.12000000 3.14563107 1.50000000 4.52571429
## [296] 0.86400000 8.22000000 0.67200000 0.31578947 5.48571429
## [301] 1.85142857 -0.99130435 -0.20000000 2.16000000 1.52307692
## [306] 7.44000000 2.00571429 -0.14400000 0.70000000 0.94153846
## [311] 10.84615385 1.44000000 3.90857143 2.35714286 3.12000000
## [316] 0.80000000 14.56000000 2.45000000 1.22181818 6.17142857
## [321] 3.00000000 7.77000000 7.10924370 2.03478261 2.68965517
## [326] 14.36842105 -0.90000000 12.78000000 4.07272727 0.38888889
## [331] 4.95789474 -1.60135922 7.12500000 13.28571429 3.34588235
## [336] 2.77161290 3.00000000 4.08000000 2.92000000 3.10909091
## [341] 5.64000000 -0.62500000 5.62909091 5.54571429 -1.81621622
## [346] -1.41176471 -7.20000000 7.68000000 1.44000000 2.60400000
## [351] 5.73033708 -1.80000000 8.88000000 2.02500000 1.44000000
## [356] 3.05806452 4.09090909 14.96000000 3.60000000 6.42857143
## [361] 4.33333333 0.12000000 5.60000000 2.34000000 2.65116279
## [366] 7.54200000 4.80000000 -0.48000000 5.92500000 15.00000000
## [371] 7.98000000 3.09230769 3.73846154 2.64000000 1.55454545
## [376] -4.08060000 2.76000000 5.52000000 4.12800000 2.68000000
## [381] 5.11200000 1.92000000 10.20000000 13.50000000 1.66153846
## [386] 4.30588235 5.28000000 4.80000000 8.47200000 6.60000000
## [391] 5.47058824 -0.67200000 2.74285714 -1.18681319 4.56000000
## [396] 6.72000000 3.50000000 7.63636364 1.80000000 3.75000000
## [401] 3.77777778 4.85000000 2.84869565 4.92857143 3.12857143
## [406] 3.49714286 2.08000000 2.25600000 4.42105263 7.94625000
## [411] 4.54285714 4.03200000 3.05142857 0.22784810 0.09000000
## [416] -5.88000000 1.30434783 5.30000000 5.52000000 3.99272727
## [421] 4.26666667 -0.56727273 2.05714286 1.27058823 2.18571429
## [426] 4.48000000 2.00881057 2.35955056 6.70909091 2.76000000
## [431] 7.45411765 7.80000000 8.10000000 7.89230769 1.36421053
## [436] 7.07200000 1.34400000 4.00000000 9.98400000 -0.17142857
## [441] 12.85714286 1.98697674 2.32941177 4.74545455 1.78378378
## [446] 0.35820895 5.23636364 0.42666667 1.03448276 8.34545455
## [451] 2.82857143 3.60000000 7.30000000 6.24000000 6.08571429
## [456] 1.63636364 3.22758621 7.40000000 5.55555556 5.48000000
## [461] 1.26816380 3.00000000 3.04285714 0.44444444 3.48000000
## [466] 1.63636364 4.58181818 2.40000000 0.25714286 2.85882353
## [471] 1.00000000 1.15000000 6.50000000 8.97600000 12.52500000
## [476] 5.25000000 -0.58666667 12.17142857 3.16000000 1.98000000
## [481] 3.78000000 -0.72000000 0.72857143 1.84615385 2.91600000
## [486] 2.34000000 5.54666667 2.28000000 2.35555556 4.07142857
## [491] 5.82000000 4.21621622 1.66956522 2.58947368 3.60000000
## [496] 8.40000000 2.33333333 1.50000000 1.40000000 0.36000000
## [501] 4.16000000 4.48000000 1.87200000 4.08000000 5.92941177
## [506] 5.58750000 0.72000000 5.70000000 1.63636364 5.74020619
## [511] 1.90909091 3.60000000 12.13714286 2.20000000 7.24615385
## [516] 2.42727273 6.97500000 1.82000000 2.30400000 5.60000000
## [521] 30.42000000 4.00000000 20.86153846 10.75000000 5.33333333
## [526] 1.68000000 2.67428571 6.27692308 3.24000000 7.15636364
## [531] 2.98800000 0.20769231 3.45600000 2.88000000 1.65245902
## [536] 3.60000000 6.17647059 7.84000000 5.72400000 3.05000000
## [541] 10.66666667 7.04000000 3.48000000 -0.56250000 0.46989474
## [546] 0.41379310 3.22314050 7.40000000 7.32000000 2.64000000
## [551] 2.96000000 0.34698795 -1.02857143 6.83636364 -0.90625000
## [556] -0.18000000 6.67058824 2.47058824 3.49411765 6.51428571
## [561] 1.12000000 2.06400000 1.32000000 9.90000000 0.25714286
## [566] 5.08000000 2.85818182 2.66197183 6.64705882 1.88000000
## [571] 2.54050909 1.18400000 2.65000000 8.61176471 2.92000000
## [576] 7.90000000 3.36000000 0.15517241 3.48000000 2.85000000
## [581] 1.96363636 1.74545455 3.35172414 10.50000000 2.88000000
## [586] 7.74000000 8.70000000 1.47692308 6.64285714 2.94545455
## [591] 1.57500000 0.54545455 1.72800000 1.98000000 1.36363636
## [596] 3.36000000 4.16326531 3.14285714 6.73200000 4.01454546
## [601] 0.12000000 2.33333333 20.28000000 2.37913043 8.22857143
## [606] 13.32000000 3.00000000 0.00000000 0.80000000 5.10000000
## [611] 13.50000000 3.00000000 3.69552000 0.67764706 4.51764706
## [616] 2.40000000 1.89473684 6.51678832 0.67764706 3.14181818
## [621] 3.60000000 -0.15000000 7.20000000 2.40000000 2.26666667
## [626] 6.64615385 3.96000000 2.78181818 2.16000000 10.73684211
## [631] 17.24444444 2.32615385 9.00000000 0.38181818 8.20000000
## [636] 1.50000000 2.40000000 3.10909091 3.64285714 0.96923077
## [641] 0.11250000 -1.33333333 3.78461538 2.61428571 -0.25714286
## [646] 2.92800000 3.02608696 3.36461539 1.53846154 10.80000000
## [651] 1.22400000 2.75000000 0.11250000 9.06000000 8.70000000
## [656] 9.83132530 6.34736842 5.58620690 1.38000000 2.92173913
## [661] 7.20000000 9.21428571 0.30000000 4.50000000 7.90000000
## [666] 12.40000000 4.10714286 7.50000000 3.24000000 -0.48610909
## [671] 0.90000000 3.67500000 5.42769231 7.04516129 -0.21739130
## [676] 3.71076923 3.44571429 16.40000000 2.90909091 0.90000000
## [681] 7.71428571 14.88000000 6.15652174 4.86486487 1.08000000
## [686] 1.34400000 2.18181818 18.90000000 3.56250000 0.28173913
## [691] 3.78947368 3.16800000 8.46000000 7.02000000 7.77777778
## [696] 3.45000000 3.25333333 7.06666667 0.63380282 0.44000000
## [701] 6.00000000 6.55058824 -0.42580645 0.72000000 3.30000000
## [706] 3.57333333 5.18400000 2.10000000 3.53684210 5.07692308
## [711] 4.88000000 1.26720000 -1.47867299 2.31428571 -0.14769231
## [716] 1.28571429 0.68571429 2.34000000 6.90000000 5.81250000
## [721] 2.36800000 3.35172414 3.78947368 5.38666667 4.25454545
## [726] -0.37500000 0.73636364 6.13333333 3.30000000 1.80000000
## [731] 3.73714286 2.52857143 11.05714286 6.62400000 2.34000000
## [736] 1.13207547 4.25000000 1.95692308 3.39120000 2.90080000
## [741] 7.77600000 4.04444444 2.40000000 4.89473684 0.90000000
## [746] -0.57600000 3.73333333 2.09142857 5.25000000 6.72000000
## [751] 0.12000000 1.23966942 23.10000000 3.36923077 -1.60000000
## [756] 5.13303628 6.13333333 2.80000000 6.50000000 2.82352941
## [761] 3.06000000 3.27272727 2.25000000 3.20000000 0.54500000
## [766] 3.45600000 2.25000000 0.34285714 0.80000000 2.80000000
## [771] 9.17647059 20.48571429 4.82400000 6.17142857 3.27272727
## [776] 9.51428571 0.62222222 11.70000000 -0.66000000 1.17000000
## [781] -0.33750000 3.80000000 1.00285714 2.44285714 1.67400000
## [786] 12.73584906 4.50000000 2.72307692 3.42857143 1.68000000
## [791] 11.50000000 2.29500000 0.24000000 2.76000000 1.92000000
## [796] 2.33333333 6.78000000 4.14000000 5.41714286 4.53333333
## [801] 1.10400000 4.20705882 5.37391304 3.71368421 18.72000000
## [806] 2.95578947 -0.42000000 5.69142857 4.71540000 8.32000000
## [811] 13.66666667 3.68098159 10.08849558 1.65000000 5.85000000
## [816] 6.00000000 2.94000000 9.00000000 4.70769231 3.42857143
## [821] 3.65454546 2.76000000 -2.70000000 4.32000000 3.06000000
## [826] -1.46086957 1.40400000 5.33333333 3.53454545 -0.08000000
## [831] 1.89913044 4.11428571 2.97600000 9.00000000 1.99200000
## [836] 3.42000000 30.20000000 6.91764706 0.90000000 4.05000000
## [841] 10.50000000 3.45600000 5.95636364 6.16000000 1.92000000
## [846] 3.89647059 0.28800000 -0.90000000 1.53000000 3.90000000
## [851] 7.08196721 4.62000000 2.06000000 7.57894737 0.99130435
## [856] 4.15384615 4.45263158 2.16666667 5.31428571 0.54545455
## [861] 2.83333333 2.18536585 -1.29600000 -1.08000000 3.00000000
## [866] 6.00000000 2.17674419 2.10000000 3.69818182 4.70400000
## [871] 9.46153846 2.93333333 5.28000000 -1.92000000 4.34057143
## [876] 6.65142857 5.19587629 2.58750000 3.53454545 0.78000000
## [881] 1.28000000 2.00000000 3.00000000 3.12000000 -1.05882353
## [886] 6.45000000 -0.34500000 3.60000000 3.52000000 3.36000000
## [891] 5.04000000 3.78000000 5.06666667 2.56000000 1.88976378
## [896] 5.30769231 3.71666667 2.27027027 0.30857143 1.02000000
## [901] 7.69090909 3.00000000 7.50857143 2.37500000 4.20000000
## [906] 2.84210526 3.12000000 2.55483871 4.08000000 4.32000000
## [911] 1.58400000 3.16800000 4.59428571 1.65818182 3.78000000
## [916] 7.61538461 26.00000000 16.25769231 2.70000000 2.40000000
## [921] 1.87826087 3.85714286 1.08000000 8.00000000 1.50000000
## [926] 3.71200000 2.27027027 7.48800000 2.25600000 5.37428571
## [931] 2.27586207 -0.39000000 8.06163328 2.93647059 1.92857143
## [936] 0.00000000 -2.80000000 8.00000000 5.41090909 7.20000000
## [941] 0.24705882 -0.51428571 0.11076923 2.56994819 5.14285714
## [946] 8.25688073 0.93750000 -1.67441861 -0.54000000 11.60000000
## [951] 2.16000000 3.00000000 0.91200000 6.54545455 4.70400000
## [956] 2.52000000 5.40000000 2.85957447 -8.16000000 8.53714286
## [961] 4.62000000 1.85000000 3.10588235 1.74315789 6.83478261
## [966] 0.57142857 3.36000000 6.35294118 2.60000000 3.78000000
## [971] 3.00000000 0.96000000 4.08000000 8.46000000 2.06250000
## [976] 11.20000000 13.02857143 10.66666667 1.92000000 -1.25000000
## [981] 4.22012903 1.26000000 2.21052632 5.53333333 1.41000000
## [986] 1.37647059 4.08000000 1.45000000 7.80000000 2.40000000
## [991] 1.80000000 6.00000000 4.84137931 2.40000000 9.61200000
## [996] 2.82000000 5.12640000 3.24705882 2.01000000 1.50000000
## [1001] 5.40000000 8.64000000 8.00000000 6.02880000 3.82736842
## [1006] 9.64800000 1.54285714 9.78947368 2.89411765 2.21250000
## [1011] 4.64132231 1.84000000 5.28000000 5.92340426 2.82352941
## [1016] -0.14754098 3.96000000 3.18857143 -2.58461539 -2.58461539
## [1021] 2.96000000 5.32800000 3.07200000 6.36631579 5.38064516
## [1026] 1.95000000 -1.20000000 3.78666667 6.60000000 3.29142857
## [1031] 3.51562500 4.92000000 15.86666667 7.50000000 3.82153846
## [1036] 1.12258064 0.81818182 2.19272727 3.34054054 2.40000000
## [1041] 2.46315790 9.37500000 2.18571429 3.40363636 2.62222222
## [1046] 4.20923077 4.87500000 6.85714286 1.14352941 3.80470588
## [1051] 8.75000000 4.10400000 2.55000000 3.94285714 0.96000000
## [1056] 3.40800000 3.96000000 6.08000000 4.38000000 20.40000000
## [1061] 2.41200000 3.60000000 1.11111111 2.30400000 0.21428571
## [1066] 2.03636364 1.29000000 6.38181818 11.62105263 0.72000000
## [1071] 2.22631579 1.40400000 5.42400000 4.11428571 -0.08727273
## [1076] 13.20000000 17.14285714 0.36000000 7.20000000 5.27331190
## [1081] 5.16000000 6.09022556 1.20000000 1.74315789 3.66666667
## [1086] 0.09000000 1.08000000 3.15243243 5.76000000 2.01600000
## [1091] -1.20000000 6.84000000 0.15000000 1.87636364 4.75384615
## [1096] 13.12941176 -0.60631579 5.62105263 7.80000000 9.44000000
## [1101] 3.69230769 -0.09000000 3.63750000 5.64000000 3.78000000
## [1106] 6.62400000 2.78571429 3.96000000 8.49600000 7.60000000
## [1111] 3.30612245 6.60000000 0.82877698 6.52800000 5.08000000
## [1116] 1.75000000 2.45454545 1.98000000 -0.76000000 -1.02857143
## [1121] 5.22000000 1.34400000 10.04651163 17.70000000 4.50000000
## [1126] 8.96000000 3.56000000 2.77714286 4.60000000 -1.98000000
## [1131] 4.63636364 9.85714286 7.83360000 1.52727273 1.89913044
## [1136] -0.64000000 -1.20000000 5.47500000 -0.52000000 9.00000000
## [1141] 3.61111111 13.11428571 1.21263158 2.10000000 5.04000000
## [1146] 16.14857143 2.88000000 7.05882353 -0.88000000 0.42000000
## [1151] 3.42000000 2.64000000 -0.72000000 2.55000000 10.46400000
## [1156] 0.99310345 2.52000000 7.38947368 20.25000000 3.50769231
## [1161] 12.60000000 6.30000000 5.00000000 1.74000000 1.09090909
## [1166] 1.98000000 4.86857143 0.09756098 -0.18000000 2.40857143
## [1171] 1.58297872 2.72000000 -1.36320000 3.60000000 3.64000000
## [1176] 4.70000000 1.57714286 22.20000000 2.08000000 6.42000000
## [1181] 3.30000000 11.28000000 23.85000000 3.83076923 1.05882353
## [1186] 1.03500000 1.00173913 2.40000000 3.52500000 2.05714286
## [1191] 3.67200000 4.12673684 5.93513514 3.04615385 30.60000000
## [1196] 6.81600000 2.49230769 2.61000000 1.90285714 1.80000000
## [1201] 5.88957055 6.30000000 1.12500000 4.68000000 4.56000000
## [1206] 4.12844037 0.00000000 0.81818182 3.00000000 20.31428571
## [1211] 4.96000000 2.00000000 1.44000000 0.16000000 16.86857143
## [1216] 3.06000000 1.43119266 3.99000000 2.98800000 6.60000000
## [1221] 3.61875000 11.12307692 5.76000000 7.56000000 4.42285714
## [1226] 9.89714286 1.44000000 5.23200000 3.11320755 2.16000000
## [1231] 3.39692308 3.53684210 1.87826087 2.88000000 3.04363636
## [1236] 7.50000000 -2.74698795 1.68000000 20.70000000 5.35384615
## [1241] 3.42000000 6.17142857 3.66666667 2.78400000 7.04191617
## [1246] 2.28000000 3.91384615 4.90909091 2.00000000 3.96000000
## [1251] 3.55200000 0.38571429 6.43795620 1.16129032 2.60571429
## [1256] 4.34823529 0.10344828 5.52000000 9.12000000 0.58666667
## [1261] 0.78260870 2.44285714 1.00000000 5.49300000 2.98181818
## [1266] 4.52000000 4.44000000 4.72421053 4.06451613 3.25000000
## [1271] 10.66666667 -3.30352941 1.26720000 1.68152866 17.48571429
## [1276] 5.92000000 1.05600000 -0.55384615 5.52000000 5.92000000
## [1281] 5.94000000 9.15000000 4.38000000 4.80000000 1.74000000
## [1286] 4.46666667 2.20000000 3.36000000 2.49145090 2.58461539
## [1291] 0.67200000 6.92307692 0.88258064 2.52000000 -1.08000000
## [1296] 3.88000000 -0.36000000 1.98000000 8.45419355 2.79652174
## [1301] 3.04615385 -0.10610526 3.24000000 11.52000000 -0.30000000
## [1306] 5.37600000 0.60000000 1.48736842 11.07428571 0.54000000
## [1311] 0.78000000 3.00000000 4.76742857 -1.15714286 9.82500000
## [1316] 2.48571429 3.32307692 5.43000000 10.40000000 2.97931035
## [1321] 1.23076923 2.52631579 1.81714286 2.37600000 6.54000000
## [1326] 4.38857143 3.38400000 5.10000000 2.64000000 3.32038835
## [1331] -5.08800000 3.60000000 3.36000000 1.35000000 5.23255814
## [1336] 0.29333333 2.85000000 1.25820000 3.03529412 -0.12000000
## [1341] 1.78000000 13.33846154 -0.80000000 1.92000000 2.08421053
## [1346] 3.45600000 7.59652174 1.88571429 7.20000000 1.18588235
## [1351] 0.70153846 1.60000000 -0.72000000 1.77600000 0.49655172
## [1356] 2.33969849 2.48727273 5.40000000 1.57894737 0.27428571
## [1361] 0.12000000 -0.86896552 1.04727273 17.47572816 0.72000000
## [1366] 13.28000000 1.44000000 6.09230769 3.48235294 3.82153846
## [1371] 1.92000000 1.61454546 1.74000000 1.44000000 0.90000000
## [1376] 3.12000000 3.54782609 0.98181818 1.02857143 1.66666667
## [1381] 0.36000000 3.43384615 3.92307692 0.87500000 2.76000000
## [1386] 4.26315789 1.32923077 -7.24800000 0.36750000 3.24000000
## [1391] 4.20000000 1.96800000 3.40363636 2.40000000 0.45000000
## [1396] 3.98181818 6.68307692 7.48800000 0.86400000 1.16000000
## [1401] 4.66909091 0.86896552 3.42000000 6.16000000 -0.17454545
## [1406] 1.98113208 4.96363636 6.42857143 1.35000000 3.88800000
## [1411] 0.32400000 3.60000000 4.95652174 2.16000000 12.31200000
## [1416] 5.44927536 5.96363636 5.82000000 4.80000000 -1.68000000
## [1421] 2.04000000 1.88571429 1.76250000 33.25000000 0.61200000
## [1426] 2.95384615 10.12000000 2.43692308 3.24000000 2.10191083
## [1431] 4.26000000 12.30240000 4.59000000 2.37600000 6.90000000
## [1436] 13.44827586 2.08800000 4.99200000 3.07692308 5.52857143
## [1441] 6.30000000 1.31657143 9.12000000 6.63428571 10.50000000
## [1446] 3.69737143 3.00000000 4.63636364 -1.02000000 4.56000000
## [1451] 3.87096774 10.72800000 4.25250000 0.90731707 5.25000000
## [1456] 3.72000000 0.00000000 0.07384615 10.97142857 1.20000000
## [1461] 17.33333333 0.86400000 0.57600000 -1.56000000 0.25714286
## [1466] 2.14468085 11.25000000 1.62461539 -3.86086956 17.16923077
## [1471] 1.38461539 4.36708861 3.42857143 -2.37714286 0.00000000
## [1476] 2.97087379 1.60000000 -1.44771429 -0.83076923 5.58000000
## [1481] 2.95200000 1.41000000 3.31500000 1.86666667 1.05600000
## [1486] 0.13846154 3.31200000 0.96551724 4.42597403 2.51076923
## [1491] -0.90000000 2.74411765 3.56000000 0.57296842 5.31428571
## [1496] 3.70909091 18.59016393 4.66666667 4.95000000 3.41333333
## [1501] 0.85714286 4.72500000 5.12000000 -2.33142857 1.60000000
## [1506] 6.59478261 7.82400000 2.59200000 0.54000000 9.48000000
## [1511] 2.06400000 1.62857143 1.32631579 1.25000000 3.58400000
## [1516] 3.03157895 2.46260870 1.44000000 3.70758621 3.48444444
## [1521] 4.12800000 1.53191489 3.91578947 2.08695652 3.03750000
## [1526] 0.76000000 1.80000000 2.37600000 0.40000000 5.25000000
## [1531] 0.21176471 0.49333333 4.83750000 3.90000000 2.60000000
## [1536] 1.30434783 0.72000000 5.70000000 4.08000000 4.86000000
## [1541] 4.32000000 3.92307692 6.54545455 1.47692308 5.43529412
## [1546] 0.08000000 5.40000000 6.37714286 3.42000000 3.98400000
## [1551] 0.13636364 0.40000000 1.53103448 0.81818182 2.70000000
## [1556] 3.49200000 1.24800000 1.20000000 2.34418605 7.37500000
## [1561] 4.12800000 8.20320000 2.10000000 10.50000000 3.91500000
## [1566] -0.40000000 3.72000000 3.32307692 4.95000000 5.20000000
## [1571] 3.20000000 4.12800000 1.61194030 4.65454546 4.68000000
## [1576] 5.62909091 1.63636364 0.98914286 1.70666667 3.21428571
## [1581] 3.47586207 -0.16000000 5.53846154 8.00000000 3.33333333
## [1586] 4.92000000 1.20000000 0.62000000 1.36363636 3.93600000
## [1591] 5.40000000 1.93500000 4.36363636 1.40400000 2.55652174
## [1596] 0.40000000 4.17600000 5.61600000 -0.07200000 1.98000000
## [1601] 0.72000000 6.93750000 2.81538462 3.12000000 0.91200000
## [1606] 0.24000000 4.23000000 6.00000000 2.30400000 0.90666667
## [1611] 4.50000000 4.92857143 1.80000000 4.62857143 2.03610108
## [1616] 16.41600000 2.31428571 0.79200000 -0.18000000 3.02400000
## [1621] 5.29200000 1.08000000 9.04615385 4.20000000 1.44000000
## [1626] 4.68000000 4.67142857 4.68000000 3.24923077 3.19148936
## [1631] 1.87826087 4.85454546 1.08000000 1.96875000 -0.30000000
## [1636] -0.24000000 4.12500000 0.00000000 1.68000000 3.54545455
## [1641] 2.52000000 4.29139073 4.48000000 0.61714286 5.03269448
## [1646] 1.91076923 3.32307692 0.26181818 2.46400000 5.28000000
## [1651] 2.52000000 3.02222222 1.25333333 4.89942857 11.50909091
## [1656] 23.80800000 7.80000000 0.58000000 -0.81176471 -0.36000000
## [1661] 9.54000000 -0.96000000 2.41283423 2.16000000 1.13684210
## [1666] 18.35675676 6.96000000 1.15714286 7.01538462 1.80000000
## [1671] 1.25000000 0.27692308 2.67272727 3.81818182 1.80000000
## [1676] 2.28000000 1.64210526 3.74358974 2.70000000 1.85454546
## [1681] 4.50000000 -0.21176471 6.41284404 3.37358491 11.14285714
## [1686] 8.75000000 -0.96000000 7.23529412 3.46153846 4.73142857
## [1691] -2.62588235 2.56000000 5.55000000 1.20000000 3.16800000
## [1696] 0.96000000 0.07200000 5.69142857 2.01428571 8.40000000
## [1701] 5.28813559 1.66265060 3.79200000 3.47142857 2.31272727
## [1706] 1.20000000 0.24000000 1.91142857 4.04000000 3.30000000
## [1711] 3.34285714 -1.68000000 2.52800000 1.32000000 10.64000000
## [1716] 2.65500000 2.66400000 5.28000000 3.48000000 5.80000000
## [1721] 2.82593857 -0.16941176 2.56309091 9.98181818 3.58066667
## [1726] 5.15555556 6.41454545 -0.30857143 -0.95121951 5.78666667
## [1731] -2.05714286 0.36923077 3.85714286 0.12000000 4.75714286
## [1736] 0.10000000 2.35200000 0.33491803 5.04000000 2.18769231
## [1741] 0.36000000 4.56000000 0.68571429 7.68000000 -0.60000000
## [1746] 3.93442623 12.23076923 0.80181818 1.40000000 3.87000000
## [1751] 2.88000000 5.76000000 7.05600000 2.57142857 4.86315789
## [1756] 4.25000000 7.29432314 7.60000000 4.03200000 -0.70588235
## [1761] 5.40000000 8.40000000 4.05000000 5.65714286 2.30400000
## [1766] 3.16000000 10.90909091 6.20000000 5.86153846 2.51162791
## [1771] 10.49840933 2.68000000 4.96000000 3.36000000 4.16326531
## [1776] 1.27058823 0.88888889 4.44000000 2.19310345 -0.84000000
## [1781] 4.41428571 2.72307692 1.02666667 2.49000000 0.15000000
## [1786] 1.02000000 0.25000000 4.09655172 2.40000000 4.80916030
## [1791] 2.77333333 -0.34909091 0.89411765 5.82352941 0.34064516
## [1796] 4.03636364 5.44461305 -0.64000000 4.33043478 5.16000000
## [1801] 5.25000000 3.46666667 5.66400000 4.80000000 3.43636364
## [1806] 1.92000000 0.46530909 5.11304348 0.96774194 4.44000000
## [1811] 5.18777293 2.04750000 1.58400000 2.05714286 2.55000000
## [1816] 1.72800000 3.89090909 1.18000000 3.94285714 4.22222222
## [1821] 3.09230769 1.20000000 3.38181818 6.64285714 0.91764706
## [1826] 3.16800000 4.87500000 6.81600000 5.85000000 2.12903226
## [1831] 2.46486487 2.70000000 1.92000000 6.77647059 1.84000000
## [1836] 0.46956522 -1.44000000 2.40000000 4.11428571 2.03880000
## [1841] 2.62745098 3.49090909 4.92000000 4.83018868 6.72000000
## [1846] -0.64800000 -0.40000000 4.59000000 0.65454546 11.47500000
## [1851] 1.95555556 1.75500000 0.76800000 2.28000000 6.32727273
## [1856] 1.04972376 3.54000000 1.50000000 2.37176471 4.63636364
## [1861] 0.08888889 0.12480000 3.18461538 5.76923077 1.10250000
## [1866] 1.83600000 0.32914286 3.84000000 4.95000000 4.05405405
## [1871] 0.57600000 0.53647059 1.95394286 1.68000000 6.30000000
## [1876] 1.56521739 0.58909091 6.12000000 2.64000000 5.04000000
## [1881] 2.89411765 2.58750000 6.44869565 -0.31927273 2.84000000
## [1886] -1.57500000 5.11578947 0.07196400 2.40000000 9.30000000
## [1891] 2.76480000 3.60000000 1.35428571 -0.28800000 0.04615385
## [1896] -0.48000000 4.00000000 1.75500000 5.76000000 1.24137931
## [1901] 2.56363636 0.93600000 0.55384615 2.97777778 4.80722892
## [1906] 0.33600000 0.90000000 5.14285714 11.82857143 4.29000000
## [1911] 6.60000000 1.62000000 8.40857143 4.08000000 5.72000000
## [1916] -0.98086956 3.33333333 3.90000000 1.00000000 0.80000000
## [1921] 1.14000000 4.23529412 1.68000000 0.70200000 0.77142857
## [1926] 0.66359447 0.21600000 2.10000000 1.84285714 4.32000000
## [1931] 2.30400000 1.71428571 31.42800000 2.58620690 6.50602410
## [1936] -1.44000000 1.44000000 0.86400000 1.66500000 8.14285714
## [1941] 4.42666667 -0.25263158 1.20000000 0.91800000 1.51200000
## [1946] 2.67000000 1.35000000 0.95250000 8.05714286 1.89000000
## [1951] -1.56705882 3.96000000 3.60000000 2.88000000 2.40000000
## [1956] 0.42666667 2.64000000 3.74400000 7.80000000 4.45000000
## [1961] 1.83529412 7.80000000 5.30181818 3.84000000 0.30720000
## [1966] 3.76363636 14.86285714 10.12500000 4.20000000 1.02857143
## [1971] 8.50000000 7.40000000 7.96363636 4.72800000 2.36571429
## [1976] 5.33333333 6.08000000 0.49253731 6.33600000 3.42222222
## [1981] 2.11200000 2.40000000 2.92061539 4.00000000 2.96250000
## [1986] 3.12000000 5.85600000 -1.56600000 9.63692308 0.00000000
## [1991] 5.14285714 3.19846154 3.13600000 13.02857143 6.17142857
## [1996] 7.53600000 4.63636364 3.16800000 6.78400000 0.30000000
## [2001] 1.26000000 2.07000000 9.74400000 2.70000000 1.44000000
## [2006] 3.70909091 1.42857143 2.16000000 -0.86800000 0.32307692
## [2011] 4.06285714 2.84689655 1.91111111 2.04000000 3.23076923
## [2016] 3.15300000 0.84000000 1.12500000 1.18956522 8.22000000
## [2021] 1.12500000 1.34117647 1.08000000 1.44000000 6.00000000
## [2026] 2.94193548 1.65000000 0.14400000 2.48000000 0.36000000
## [2031] 0.18000000 -0.60000000 0.00000000 2.05714286 5.20000000
## [2036] 0.28800000 -0.03529412 0.32400000 5.40000000 3.37500000
## [2041] 9.85714286 3.27272727 4.06451613 6.12000000 3.03600000
## [2046] 7.27272727 2.88000000 10.58400000 3.16050000 1.25454545
## [2051] 15.60000000 4.44444444 1.13684210 2.10000000 2.04000000
## [2056] 2.78625000 2.48275862 1.47600000 0.78260870 0.07500000
## [2061] 3.91680000 2.88000000 4.50000000 5.42222222 -1.62000000
## [2066] 1.70322581 4.68000000 4.35000000 2.18741538 2.58461539
## [2071] -1.17333333 25.32000000 3.86400000 6.89454546 1.37739130
## [2076] 0.67289720 3.36000000 2.07500000 1.20000000 1.98461538
## [2081] 1.58400000 4.02000000 0.21600000 4.92000000 0.38461538
## [2086] 0.76500000 1.83333333 -0.64000000 1.40869565 8.20800000
## [2091] 10.77333333 3.72857143 5.38666667 4.56000000 4.66285714
## [2096] 1.22400000 5.10000000 1.59428571 2.28000000 4.20000000
## [2101] 2.40000000 3.78000000 3.62571429 0.74880000 3.80874873
## [2106] 7.20000000 0.90000000 0.65454546 3.90000000 5.40000000
## [2111] 0.66666667 3.54206897 2.92000000 0.24000000 1.60000000
## [2116] 5.70000000 3.86250000 1.44000000 12.90000000 -0.26086957
## [2121] 3.55263158 1.98000000 -2.76705882 7.29600000 2.16000000
## [2126] 3.82909091 3.48000000 -1.20000000 -0.73846154 0.20509091
## [2131] 2.14545455 4.25000000 7.60000000 1.02857143 1.86000000
## [2136] 3.60000000 -0.04800000 1.80000000 3.04000000 0.44444444
## [2141] 13.74545455 3.48000000 14.46545455 2.89655172 2.70000000
## [2146] 1.52380952 5.96363636 6.26086957 7.28275862 3.02400000
## [2151] 1.97777778 8.55000000 5.30526316 6.72000000 4.50000000
## [2156] 3.54929578 -0.55680000 4.09090909 3.60000000 3.00000000
## [2161] 2.24000000 -2.10000000 8.10000000 3.25000000 0.96428571
## [2166] 0.54000000 3.60000000 9.90000000 2.08571429 3.52000000
## [2171] 12.00000000 -1.33333333 5.88000000 4.14000000 3.56043956
## [2176] 1.11600000 2.22000000 2.34666667 1.67278196 1.11272727
## [2181] 2.20000000 -0.96000000 4.49454545 1.98370909 -2.23200000
## [2186] 2.50000000 1.40585774 3.91304348 4.39384615 5.75000000
## [2191] 5.90769231 1.75182482 5.03225806 3.68000000 1.06666667
## [2196] 0.67500000 4.69714286 8.67692308 3.28000000 7.38000000
## [2201] 4.32000000 6.00000000 6.81818182 1.65517241 -0.72000000
## [2206] -0.86400000 2.00000000 -5.84000000 4.49142857 3.60000000
## [2211] -0.42000000 1.64571429 1.02857143 5.40000000 1.20000000
## [2216] 1.50857143 0.06000000 2.81250000 -2.00000000 5.94285714
## [2221] 4.32000000 -0.56842105 3.66666667 4.55672727 2.64000000
## [2226] 1.61538461 7.63636364 1.77600000 1.67272727 3.18315789
## [2231] 3.17241379 2.39940000 1.56000000 2.40000000 2.62285714
## [2236] 0.93103448 5.33333333 4.17000000 4.26000000 7.11428571
## [2241] 0.33333333 2.00000000 1.32000000 1.04000000 0.40000000
## [2246] 2.35200000 3.30000000 -0.14400000 2.76666667 8.52923077
## [2251] 1.70181818 3.20400000 1.20000000 1.37142857 1.92000000
## [2256] 0.60000000 3.60000000 3.00000000 1.80000000 2.28571429
## [2261] 8.28000000 -3.18750000 0.36923077 0.00000000 -0.36705882
## [2266] 6.56250000 1.30909091 5.34857143 2.93647059 1.06666667
## [2271] 3.00000000 1.01284404 4.11428571 9.92000000 6.18461538
## [2276] 0.00000000 9.60000000 6.78857143 5.04000000 2.97600000
## [2281] 1.42372881 3.02400000 2.40000000 3.52000000 3.30000000
## [2286] 1.18800000 0.11707317 3.52941176 -0.60000000 2.97600000
## [2291] -0.66000000 3.70285714 2.70000000 5.84347826 6.00000000
## [2296] 3.48000000 0.50400000 2.50000000 20.16000000 3.14181818
## [2301] -1.41176471 1.20000000 2.68800000 1.20000000 -0.26181818
## [2306] 11.73600000 6.96000000 4.05000000 3.43636364 5.37882353
## [2311] 2.10841121 1.80000000 5.77777778 5.81142857 8.34000000
## [2316] 2.25000000 0.28400000 4.45500000 5.61600000 3.26400000
## [2321] 2.56000000 -1.44000000 -0.88200000 3.48000000 1.08000000
## [2326] 0.25600000 1.44000000 6.84000000 0.00000000 0.15157895
## [2331] 3.70800000 0.68000000 2.54769231 4.00000000 2.25000000
## [2336] 3.17647059 1.09090909 2.11372064 -1.44000000 3.60000000
## [2341] 1.76470588 3.81818182 5.30769231 -0.61090909 2.07000000
## [2346] 2.70000000 11.10000000 3.36551724 3.30000000 10.93333333
## [2351] 7.36666667 3.47734457 3.25000000 2.94117647 1.90909091
## [2356] 3.11040000 9.60000000 8.00000000 2.48000000 4.06588235
## [2361] -2.16000000 4.20000000 3.73333333 -0.37333333 2.26909091
## [2366] 0.00000000 2.70000000 2.16000000 3.48923077 3.88000000
## [2371] 4.12500000 5.55428571 2.41200000 4.35789474 8.57647059
## [2376] 9.00000000 1.44000000 7.87500000 2.30400000 0.48600000
## [2381] 3.16000000 3.14666667 5.48571429 6.24000000 12.60000000
## [2386] 3.76000000 4.22400000 1.32000000 1.78983051 3.60000000
## [2391] 4.30588235 0.50000000 4.72800000 1.80000000 2.40000000
## [2396] 2.61600000 -0.73333333 3.79862069 5.95636364 5.42400000
## [2401] 6.62400000 4.47428571 9.90000000 12.96000000 4.99200000
## [2406] 1.40400000 1.68000000 2.29090909 0.75857143 1.35000000
## [2411] 0.47142857 8.71200000 0.00000000 4.00800000 1.75000000
## [2416] 0.13846154 0.48888889 7.35483871 4.32000000 1.95789474
## [2421] 0.95172414 0.63419689 0.00000000 5.31428571 3.53684210
## [2426] 2.00727273 2.80000000 0.88888889 2.89344000 3.78000000
## [2431] 2.85600000 8.52000000 2.70000000 2.46857143 1.23750000
## [2436] 1.78000000 6.05217391 4.84800000 2.91692308 -0.07200000
## [2441] -1.61379310 3.66000000 -0.48032000 5.19512195 21.00000000
## [2446] 1.89230769 3.18352941 3.36000000 0.93750000 4.84363636
## [2451] 1.80000000 7.42153846 1.69200000 1.16307692 0.75000000
## [2456] 1.40000000 2.95384615 -2.01600000 2.40000000 2.88000000
## [2461] 1.62857143 1.30285714 -0.33000000 1.20000000 0.92903226
## [2466] 0.90000000 2.05714286 5.46909091 -2.48470588 3.16800000
## [2471] 0.60000000 10.36800000 5.46000000 4.60000000 1.08000000
## [2476] 4.51377778 3.32571429 -0.41142857 1.15714286 7.06666667
## [2481] 4.08000000 0.72000000 5.52000000 0.30000000 6.72000000
## [2486] 12.38400000 2.30400000 6.53538461 4.46896552 2.67272727
## [2491] 0.73600000 2.18181818 6.06666667 1.68000000 2.37600000
## [2496] 2.43750000 6.60000000 7.00000000 -0.12705882 0.82758621
## [2501] 1.15384615 -1.44000000 15.50822846 1.66153846 1.35000000
## [2506] 1.16571429 1.12000000 -2.26560000 3.10000000 0.76220690
## [2511] 3.64285714 3.55764706 16.60000000 4.00000000 2.47500000
## [2516] 3.88571429 2.95714286 13.00000000 0.00000000 1.61538461
## [2521] 1.36363636 2.58715596 1.29600000 0.84000000 -0.80000000
## [2526] 1.14000000 -1.54666667 8.61081081 2.36470588 10.65600000
## [2531] 2.40000000 4.35000000 1.73333333 10.69090909 0.56666667
## [2536] 1.60000000 4.62315790 5.89090909 6.40000000 2.87671233
## [2541] 2.27727992 2.70000000 2.10000000 5.55428571 3.48000000
## [2546] 0.25000000 11.04000000 2.88000000 6.46363636 4.92000000
## [2551] 7.92000000 2.74285714 2.64000000 4.74545455 -1.24800000
## [2556] 4.17391304 3.45000000 1.46086957 -1.52000000 1.68000000
## [2561] 7.68000000 1.67142857 3.96923077 2.05090909 2.52000000
## [2566] 3.36000000 0.21600000 3.43384615 1.63636364 2.28545454
## [2571] -1.17647059 5.52000000 3.73333333 1.35272727 1.84000000
## [2576] 1.02857143 0.04225352 3.88571429 0.17142857 9.40438871
## [2581] 2.40000000 6.33600000 5.89090909 14.00000000 1.96800000
## [2586] 2.98666667 0.80000000 0.54400000 -0.36571429 -3.31200000
## [2591] 4.49142857 5.92500000 2.53846154 1.26228571 1.00000000
## [2596] 6.21818182 11.71200000 7.47692308 9.89538461 1.85000000
## [2601] -0.60000000 5.72222222 3.99000000 3.93750000 1.25454545
## [2606] 2.46857143 -3.69000000 -0.46153846 -0.92307692 1.64571429
## [2611] 4.00000000 2.04000000 11.88000000 5.54482759 0.66000000
## [2616] 9.90000000 0.65000000 1.80000000 0.82000000 1.66500000
## [2621] 3.64500000 2.43692308 2.52000000 5.23200000 3.96000000
## [2626] -0.96000000 4.06956522 2.88000000 -1.32000000 6.85714286
## [2631] 6.07594937 2.37913043 2.22000000 5.18400000 4.17600000
## [2636] 3.15000000 3.84000000 1.02000000 1.35000000 1.29600000
## [2641] 2.83636364 4.60000000 11.60000000 2.55000000 1.44000000
## [2646] 6.36923077 0.75673846 0.85714286 18.25714286 6.60000000
## [2651] 2.97290323 3.12000000 5.10104530 4.44000000 2.75294118
## [2656] 6.90000000 2.97777778 2.25000000 5.67692308 0.48000000
## [2661] 6.15529412 2.22000000 5.28428571 7.14000000 2.16000000
## [2666] 4.80000000 6.83520000 1.00000000 9.13586087 8.46315790
## [2671] 3.30000000 1.17000000 1.44000000 2.70000000 0.95000000
## [2676] 2.81250000 1.61052632 3.87176471 3.64285714 12.64615385
## [2681] 3.12000000 2.31111111 0.12600000 0.17066667 3.33333333
## [2686] -0.90000000 8.85517241 1.68000000 5.97777778 3.96800000
## [2691] 0.62439024 0.62500000 1.51011236 8.45000000 5.60000000
## [2696] 1.56000000 3.67200000 0.24000000 2.70000000 2.66181818
## [2701] 5.15555556 3.80000000 5.18709677 4.88000000 28.32000000
## [2706] -1.37142857 0.85714286 0.75000000 2.37642857 1.02000000
## [2711] 5.06181818 4.92631579 2.47500000 9.86666667 0.75789474
## [2716] 3.00000000 0.90000000 3.00000000 5.23333333 -0.75000000
## [2721] 5.04000000 5.25000000 0.50400000 1.39200000 5.37600000
## [2726] -1.59556787 0.60000000 2.64406780 4.20000000 3.36000000
## [2731] 11.70000000 4.32000000 1.08000000 1.73076923 5.85142857
## [2736] 6.30000000 2.25882353 4.28000000 4.10000000 14.56000000
## [2741] 0.55200000 10.80000000 1.73333333 4.16000000 1.86666667
## [2746] 8.28000000 6.28285714 4.86000000 -3.10000000 4.84444444
## [2751] 5.52000000 3.33333333 1.08069164 1.53750000 0.18000000
## [2756] 2.16000000 12.24000000 5.20000000 3.87692308 2.85000000
## [2761] 13.55294118 4.51764706 4.96000000 5.40000000 3.60000000
## [2766] 3.60000000 4.58181818 1.72000000 0.95172414 1.92000000
## [2771] 7.20000000 2.22000000 4.14000000 2.22000000 0.44727273
## [2776] 2.12571429 14.76000000 6.92307692 1.38947368 4.13538462
## [2781] 3.50857143 9.67058824 2.12000000 1.64000000 17.92771084
## [2786] 2.28000000 11.25000000 1.50000000 7.56000000 3.15000000
## [2791] 7.80000000 4.16666667 6.00000000 1.62782609 2.96250000
## [2796] 7.14000000 0.66666667 18.51428571 -1.83750000 2.48571429
## [2801] 0.03600000 0.72000000 3.79534884 -0.16363636 4.65000000
## [2806] 6.84000000 2.01600000 3.00000000 0.32400000 0.23040000
## [2811] 6.14400000 4.08000000 0.97142857 6.16000000 -0.22153846
## [2816] 2.31000000 3.84000000 4.62000000 3.27000000 3.91764706
## [2821] 6.51666667 3.42000000 3.84000000 26.50909091 4.94117647
## [2826] 4.80000000 -1.08480000 1.09714286 0.64000000 3.00000000
## [2831] 5.11111111 2.77241379 3.70000000 0.60000000 4.62857143
## [2836] 1.91172414 3.37500000 5.38666667 -0.72000000 1.95000000
## [2841] 3.09333333 2.04923077 2.82000000 3.37500000 2.16000000
## [2846] 2.16240000 3.66315789 0.74880000 3.18750000 1.36533333
## [2851] 0.58000000 5.89565217 7.46250000 9.69230769 2.96727273
## [2856] 2.01600000 4.54153846 7.34908136 5.47794994 2.40000000
## [2861] 0.68000000 2.05714286 9.18000000 4.73286713 3.00000000
## [2866] 1.92000000 27.21600000 5.28000000 4.08000000 3.38400000
## [2871] 4.43076923 5.52000000 2.17777778 1.80000000 0.49200000
## [2876] 0.24000000 6.10909091 3.96000000 2.08800000 1.90800000
## [2881] 2.34000000 -1.39764706 6.21000000 -0.73846154 10.38857143
## [2886] 3.87692308 -0.83400000 5.10000000 5.55000000 12.17520000
## [2891] 1.95555556 6.42461539 2.27200000 5.34857143 5.10000000
## [2896] 1.61538461 5.55428571 21.49714286 7.92000000 2.50434783
## [2901] 0.73972603 3.31200000 0.36000000 9.54782609 2.65411765
## [2906] 3.49367089 5.04000000 4.32000000 4.64516129 3.90000000
## [2911] 4.10400000 3.60000000 5.22000000 4.37142857 2.00000000
## [2916] 1.53333333 0.12000000 4.72500000 2.55600000 5.18400000
## [2921] 6.84000000 1.60000000 6.97500000 6.97500000 3.65714286
## [2926] 8.82857143 8.16000000 2.28000000 -0.18000000 4.80000000
## [2931] 3.40000000 3.90000000 1.60363636 2.91428571 5.08800000
## [2936] 5.23200000 7.11428571 0.66857143 1.20670391 17.64705882
## [2941] -0.09600000 1.92000000 1.48000000 1.36421053 0.41988000
## [2946] 24.00000000 10.02000000 0.05760000 -1.80000000 2.70000000
## [2951] 3.16363636 9.36000000 2.00000000 3.86086956 9.24000000
## [2956] 8.78400000 2.50000000 0.99428571 3.60000000 3.55714286
## [2961] 2.00000000 4.42285714 0.28235294 6.43200000 1.56000000
## [2966] 4.76000000 -2.40000000 2.43200000 2.92500000 18.06666667
## [2971] 6.92682927 4.53600000 3.99130435 3.60000000 5.48000000
## [2976] 5.13882353 2.59200000 6.48000000 6.67200000 4.16000000
## [2981] 3.67883212 -2.04000000 0.10000000 2.20500000 0.54000000
## [2986] 8.95204263 2.44800000 3.33000000 0.42000000 4.49142857
## [2991] 2.76000000 1.70823529 -1.05000000 1.48800000 9.25000000
## [2996] 1.95000000 1.77230769 2.15000000 4.04444444 11.88000000
## [3001] 0.27567568 3.16455696 4.72000000 0.54000000 9.74769231
## [3006] 1.36800000 5.80000000 1.23000000 13.47692308 5.44615385
## [3011] 2.96842105 2.24000000 1.09411765 1.32000000 3.96000000
## [3016] -1.33714286 1.54285714 5.40000000 -0.64285714 4.53333333
## [3021] 5.40000000 0.82800000 4.50000000 4.26000000 15.84000000
## [3026] 4.64000000 2.36220472 3.12000000 0.62526316 2.62285714
## [3031] 7.10400000 0.54000000 8.88000000 2.01600000 14.40000000
## [3036] 6.22222222 18.00000000 4.14000000 4.97142857 7.92857143
## [3041] 2.49230769 9.69600000 2.45647059 0.93913044 2.93333333
## [3046] 15.60000000 2.35714286 9.23076923 2.00000000 0.18000000
## [3051] 5.34857143 2.04000000 1.71974522 2.40000000 4.48363636
## [3056] 3.30000000 4.14000000 1.14545454 16.60800000 1.93043478
## [3061] 2.22000000 8.56800000 13.27058824 9.31578947 -0.20571429
## [3066] 0.67200000 3.37500000 4.08000000 2.85000000 3.54000000
## [3071] 10.44000000 4.32000000 8.18823529 5.16000000 -0.43500000
## [3076] 6.08571429 2.40875912 4.15384615 8.10000000 3.36923077
## [3081] 2.50000000 2.16000000 2.40000000 2.30000000 11.57142857
## [3086] 13.10000000 1.53846154 7.58400000 1.60000000 2.60455267
## [3091] 5.40000000 5.00000000 4.93714286 3.60000000 1.99800000
## [3096] 3.49090909 0.88500000 1.52307692 1.36363636 1.51714286
## [3101] 6.73846154 11.95200000 0.09600000 -2.13000000 1.02857143
## [3106] 5.10000000 1.34400000 1.50000000 13.50000000 0.69600000
## [3111] 7.85454546 2.80534351 5.19272727 3.65454546 0.69120000
## [3116] 6.03000000 3.98400000 5.48000000 1.57241379 1.92000000
## [3121] 4.93333333 4.08000000 3.30000000 0.95575221 1.08000000
## [3126] 3.78181818 6.86666667 2.72000000 2.60000000 3.60000000
## [3131] 1.92000000 1.18800000 11.91428571 2.59200000 1.20000000
## [3136] 4.32000000 5.72307692 6.32571429 6.61333333 6.69230769
## [3141] 4.88135593 2.22000000 7.68000000 2.17600000 3.93600000
## [3146] 3.05000000 -0.16000000 6.84444444 6.81931034 5.47826087
## [3151] 2.14020619 10.20000000 1.08000000 1.44000000 1.89000000
## [3156] 5.58720000 4.73142857 2.49600000 3.55200000 3.84000000
## [3161] 1.66386555 -0.60923077 1.10769231 1.64210526 4.46153846
## [3166] 2.07000000 6.85236769 2.67428571 4.80000000 3.69600000
## [3171] 6.90909091 8.76279070 1.28000000 0.40800000 5.66666667
## [3176] 3.74400000 -1.62000000 1.38600000 4.01760000 2.12000000
## [3181] 5.67000000 1.47692308 0.93600000 2.79529412 2.82000000
## [3186] 6.25714286 1.92000000 9.62613333 10.98000000 2.93647059
## [3191] 8.58000000 3.39428571 -0.41400000 5.23800000 5.20000000
## [3196] 2.03076923 1.80000000 7.32000000 3.96000000 1.22181818
## [3201] 4.80000000 2.58461539 2.44800000 1.50857143 1.51200000
## [3206] 1.41428571 2.38267148 0.60000000 1.92000000 1.09714286
## [3211] 1.33662857 0.62222222 -0.81818182 15.68000000 7.20000000
## [3216] 1.51578947 1.00000000 1.35000000 3.95076923 5.41894737
## [3221] -0.27272727 6.00000000 -0.42352941 7.50545455 4.50000000
## [3226] 1.35000000 0.40000000 3.98048781 1.82857143 -0.01411765
## [3231] 0.50400000 4.30000000 2.05714286 1.47000000 1.62000000
## [3236] 5.20000000 6.94285714 0.28800000 4.49523810 18.46153846
## [3241] 2.31428571 3.15000000 6.00000000 3.52000000 3.57230769
## [3246] -0.38400000 0.92000000 2.20800000 2.43750000 2.88000000
## [3251] 4.56000000 3.54000000 18.00000000 6.48000000 3.09836066
## [3256] 6.05538462 3.45857143 0.95172414 -0.58500000 -0.46153846
## [3261] 3.42000000 12.30000000 2.27586207 9.14594595 2.04000000
## [3266] 2.81538462 1.80000000 1.96363636 2.98832685 1.85000000
## [3271] 5.18823529 0.87272727 5.81538462 3.38181818 0.75000000
## [3276] 5.68695652 0.69176471 -0.19200000 5.64963504 3.02400000
## [3281] 0.50400000 6.43200000 3.32307692 4.37538461 1.77230769
## [3286] 3.02400000 2.74285714 2.43750000 2.80000000 8.18181818
## [3291] 6.04800000 2.10240000 2.14857143 1.07500000 4.08888889
## [3296] 0.69333333 1.72000000 1.64749536 0.86400000 3.45600000
## [3301] 13.92000000 1.80000000 1.80253165 3.81308411 5.23076923
## [3306] 0.36000000 2.25000000 2.22857143 1.20000000 5.85882353
## [3311] 2.19272727 16.64516129 13.72500000 3.18000000 3.95000000
## [3316] 9.45000000 3.93333333 15.21600000 -1.87058824 1.96363636
## [3321] 5.86285714 12.00000000 3.20000000 1.99384615 2.11500000
## [3326] 1.36800000 4.63636364 1.18153846 0.63529412 0.48800000
## [3331] 3.89333333 1.45548387 1.68224299 11.46666667 0.30857143
## [3336] 10.28571429 1.81980000 1.46666667 0.76000000 5.73600000
## [3341] 3.20000000 8.40000000 1.20000000 6.22105263 5.30769231
## [3346] 4.69894737 6.30000000 6.93333333 6.73333333 4.77000000
## [3351] 3.54545455 4.75636364 2.82000000 6.91200000 3.25000000
## [3356] 6.88941177 4.50461539 2.20000000 1.26000000 2.40000000
## [3361] 3.02400000 2.16000000 0.86400000 2.45581395 0.00000000
## [3366] 0.25560000 4.98113207 0.92800000 6.64285714 2.82352941
## [3371] 1.56000000 0.54193548 1.72000000 3.33750000 2.62956522
## [3376] 6.36521739 5.07272727 3.45454545 0.16000000 2.53846154
## [3381] 4.21565217 1.80000000 5.22857143 -0.11294118 4.82926829
## [3386] 15.60000000 1.64000000 0.57600000 2.11200000 3.36000000
## [3391] 1.50000000 9.35840000 8.00000000 3.75000000 4.17777778
## [3396] 10.44000000 7.10933333 3.60000000 2.40000000 3.90000000
## [3401] 5.00869565 -1.01818182 7.20000000 3.88800000 2.49000000
## [3406] 9.00000000 5.40000000 2.23578947 4.95000000 3.86250000
## [3411] 1.37142857 12.96000000 4.92000000 3.84000000 0.98181818
## [3416] 6.00000000 1.76000000 13.60000000 6.72000000 2.07692308
## [3421] 4.53333333 3.48631579 3.07200000 3.71454546 1.83157895
## [3426] 1.80000000 4.81500000 5.42400000 4.00000000 21.20000000
## [3431] 1.16000000 5.17714286 2.48888889 3.64800000 1.82410424
## [3436] 4.71428571 -0.80000000 0.60000000 8.70000000 2.30625000
## [3441] 15.84000000 3.14285714 -0.93600000 5.34000000 2.80800000
## [3446] 6.42000000 3.88363636 3.55200000 1.56521739 4.52000000
## [3451] 7.08571429 5.86666667 1.24615385 0.14400000 3.14285714
## [3456] 4.55172414 2.32258064 -0.26666667 2.77200000 3.17538462
## [3461] 1.10769231 5.40000000 9.92920354 4.06416000 5.34000000
## [3466] 3.30000000 2.40000000 2.28000000 2.45454545 5.22000000
## [3471] 3.24000000 1.54285714 7.77600000 1.52727273 5.16000000
## [3476] 4.25454545 6.88000000 4.10526316 -0.48000000 3.37500000
## [3481] 4.34000000 3.93442623 2.55000000 4.34482759 2.09600000
## [3486] 4.84800000 0.67200000 1.66153846 4.96551724 0.38400000
## [3491] -0.33333333 1.71000000 2.28785455 3.35000000 3.12000000
## [3496] 0.07272727 0.84000000 4.38941539 0.32307692 2.26415094
## [3501] 3.44000000 3.50000000 1.37454546 3.48000000 4.80000000
## [3506] 6.86746988 4.56470588 4.98857143 0.83076923 7.68000000
## [3511] 3.51000000 6.84000000 -0.50000000 0.90000000 3.20000000
## [3516] 3.52800000 4.20000000 0.11520000 1.80000000 6.57672850
## [3521] 0.65217391 5.09538462 2.98800000 4.63636364 2.28000000
## [3526] 3.38400000 1.98000000 7.12500000 2.32000000 9.37500000
## [3531] 10.00000000 7.83333333 2.96000000 0.26400000 3.55555556
## [3536] 7.90909091 4.99200000 10.24000000 6.00000000 4.80000000
## [3541] 2.11111111 2.25000000 4.11891892 0.45000000 3.68000000
## [3546] 1.92000000 4.62857143 0.67200000 1.93846154 1.55076923
## [3551] 5.76000000 2.85333333 1.87200000 -0.30000000 -0.69230769
## [3556] 2.67096774 2.84210526 4.26000000 1.73333333 3.28000000
## [3561] 2.35223160 2.08941176 4.94400000 9.32000000 1.84000000
## [3566] 1.10000000 5.32500000 5.78571429 3.94285714 6.92307692
## [3571] 2.93538461 2.29090909 -0.60000000 3.15555556 11.77500000
## [3576] 10.27200000 5.76000000 2.33333333 4.30000000 14.28000000
## [3581] 0.96000000 0.20000000 6.18000000 4.65000000 4.48000000
## [3586] 17.00000000 1.50000000 4.91428571 6.46363636 7.20000000
## [3591] 9.51428571 1.70526316 25.08000000 3.40000000 4.88571429
## [3596] 2.50485437 12.24000000 3.12000000 3.85920000 4.56000000
## [3601] 3.43636364 9.45000000 2.98666667 2.40000000 9.52500000
## [3606] 3.20000000 4.48000000 2.44800000 4.02000000 11.00000000
## [3611] 3.40000000 4.84615385 2.40000000 3.43636364 2.07692308
## [3616] 4.81500000 5.31428571 7.20000000 3.79636364 4.02000000
## [3621] 3.30882353 2.07000000 5.04000000 2.58461539 -0.18000000
## [3626] 7.32000000 0.36923077 7.20000000 1.57241379 2.03076923
## [3631] 2.25600000 -0.73333333 0.28800000 2.47500000 7.80000000
## [3636] 0.04000000 5.14433881 7.87500000 5.40000000 4.05000000
## [3641] 2.18947368 4.74000000 15.12000000 1.44303797 2.46000000
## [3646] 3.33333333 5.12000000 4.10526316 1.58769231 2.44000000
## [3651] 4.74000000 6.20307692 -0.18000000 3.15000000 3.09333333
## [3656] 2.48000000 2.67000000 3.37500000 2.07692308 3.66666667
## [3661] 2.40000000 2.52000000 5.75000000 12.48000000 3.36000000
## [3666] 1.68000000 9.72000000 17.54666667 2.34240000 1.68000000
## [3671] 0.42461539 9.25714286 3.46666667 1.43076923 1.72800000
## [3676] 12.30000000 5.68421053 2.83200000 12.66000000 1.50000000
## [3681] 1.76250000 3.88800000 -0.72000000 1.17000000 0.95000000
## [3686] 5.57333333 5.44500000 3.72000000 -1.32000000 8.48000000
## [3691] 3.03750000 4.53333333 3.56250000 2.51250000 1.71000000
## [3696] 0.36000000 3.24000000 3.00000000 2.29090909 4.42285714
## [3701] 5.98153846 6.28915663 8.60000000 4.00000000 5.10000000
## [3706] 2.66250000 3.60000000 4.40625000 6.84000000 7.96800000
## [3711] 2.88000000 1.48800000 4.99200000 0.10285714 0.32914286
## [3716] 0.78750000 2.24307692 5.55130435 6.03947368 0.36000000
## [3721] 19.80000000 3.34285714 2.18181818 1.20000000 3.78000000
## [3726] -0.37500000 6.72000000 1.99500000 0.38181818 0.98181818
## [3731] 3.20000000 0.93600000 9.27818182 4.62857143 4.14246575
## [3736] 0.86400000 3.52000000 3.96000000 1.70526316 4.05709091
## [3741] 2.40000000 6.67826087 0.33600000 -1.30909091 3.85714286
## [3746] 4.68000000 3.20000000 6.75555556 3.30000000 3.46666667
## [3751] 5.96571429 2.60000000 4.96695652 9.69230769 3.16000000
## [3756] 2.20000000 1.70847458 2.05714286 3.60000000 0.54000000
## [3761] 5.16000000 4.55625000 1.74545455 12.36923077 1.21200000
## [3766] 3.12000000 2.92800000 4.23333333 1.61538461 6.24000000
## [3771] 1.74857143 7.62616822 5.73913043 2.85569620 3.27272727
## [3776] 1.18588235 8.29090909 3.64285714 0.37894737 3.26400000
## [3781] 2.10000000 3.83076923 2.25000000 5.60000000 7.17913044
## [3786] 0.00000000 4.57142857 9.90000000 2.88000000 4.92000000
## [3791] 3.71250000 -0.19200000 1.98750000 2.13428571 2.64000000
## [3796] 3.35000000 7.24137931 3.60000000 3.81818182 4.39200000
## [3801] 2.00000000 1.92000000 0.98823529 3.36000000 3.00000000
## [3806] 6.85984252 1.89928058 1.50857143 1.01538462 4.17600000
## [3811] 0.08727273 4.51764706 6.72000000 4.68571429 2.76000000
## [3816] 3.96000000 -1.40000000 -0.11162791 2.35200000 0.86400000
## [3821] 4.01142857 2.82898551 0.33729730 1.47272727 1.60000000
## [3826] 7.20000000 1.29230769 4.62461539 1.54285714 2.25882353
## [3831] 8.60000000 1.98620690 5.28000000 5.04000000 1.58571429
## [3836] 3.86666667 3.36923077 -0.12000000 13.56000000 11.40000000
## [3841] 2.66666667 4.27200000 3.07200000 4.38000000 9.12000000
## [3846] -1.52000000 1.10769231 0.33600000 3.42000000 4.90909091
## [3851] 1.61538461 3.06000000 2.13818182 1.97169231 -0.48000000
## [3856] 2.83333333 3.86363636 5.40000000 12.33962264 4.16000000
## [3861] 5.36470588 3.78000000 4.27659574 2.18181818 7.20000000
## [3866] 1.98000000 0.99692308 0.60000000 16.10769231 2.68800000
## [3871] 5.29090909 2.12121212 5.94000000 6.12000000 -0.06857143
## [3876] 1.86000000 2.70000000 2.64000000 -0.41333333 8.25000000
## [3881] 0.49070632 1.80000000 11.95384615 2.16000000 2.70000000
## [3886] 3.08000000 2.90322581 3.20000000 0.23261539 9.00000000
## [3891] 3.74400000 0.62400000 0.32842105 -1.63200000 4.47337278
## [3896] 0.48000000 5.64480000 3.76000000 12.50000000 1.84000000
## [3901] 2.33142857 4.80000000 2.60625000 3.65000000 -0.60000000
## [3906] 0.32914286 2.80000000 3.00000000 1.63636364 1.92413793
## [3911] 1.92558140 4.96800000 4.02000000 5.65000000 1.13406593
## [3916] 5.76000000 4.05000000 3.45454545 1.49538462 1.06800000
## [3921] 1.33714286 8.40000000 3.55263158 0.50086957 9.00000000
## [3926] 9.98400000 4.80000000 0.45600000 10.67586207 1.08000000
## [3931] 4.80000000 2.92500000 3.00000000 1.55076923 3.31200000
## [3936] 4.88000000 0.32000000 1.46666667 6.16000000 0.40000000
## [3941] 3.42000000 8.85714286 2.11200000 0.68571429 2.52000000
## [3946] 2.45454545 1.89230769 5.47826087 2.84210526 2.54400000
## [3951] 5.62500000 5.45454545 0.84000000 3.29032258 1.12941176
## [3956] 6.14400000 1.80000000 5.04000000 0.53333333 6.00000000
## [3961] 6.57142857 0.56727273 3.18857143 2.07000000 2.01818182
## [3966] 2.64000000 6.63333333 2.76923077 2.50000000 2.20800000
## [3971] 1.41176471 4.32000000 3.06666667 3.89333333 5.94000000
## [3976] 6.60000000 4.05000000 0.96923077 6.20571429 3.90857143
## [3981] 2.33333333 2.86956522 2.61818182 0.64000000 6.13846154
## [3986] 1.71360000 1.38461539 0.13090909 4.56000000 11.68888889
## [3991] 1.36119403 4.45935484 5.40000000 2.50909091 2.52000000
## [3996] 8.40000000 3.39130435 2.48759124 1.80000000 8.26285714
## [4001] 2.89655172 0.32727273 6.08000000 7.32000000 0.15000000
## [4006] 0.97411765 2.30000000 1.97818182 8.40000000 2.48914286
## [4011] 4.83840000 1.89600000 1.83050848 2.40000000 5.91818182
## [4016] 5.40000000 0.21000000 2.45454545 2.25000000 1.84000000
## [4021] 4.01739130 2.24000000 2.00000000 4.58181818 3.90000000
## [4026] 4.80000000 8.30769231 1.29600000 0.68807339 6.26086957
## [4031] 0.76000000 1.03448276 1.75714286 2.61000000 1.96969697
## [4036] 1.72800000 3.12000000 0.00000000 2.84210526 2.78709677
## [4041] 1.12000000 3.33750000 13.39200000 5.72160000 4.12500000
## [4046] 5.13600000 6.64285714 1.13785714 0.93333333 8.70000000
## [4051] 0.00000000 0.48000000 2.55600000 1.15862069 5.28000000
## [4056] 2.78400000 6.48000000 2.54117647 7.11428571 1.82000000
## [4061] 3.10000000 5.01333333 0.12000000 5.16363636 12.60000000
## [4066] 1.61445910 3.08571429 4.16842105 0.72000000 2.34000000
## [4071] 2.95500000 3.28205128 7.44000000 3.02400000 9.05000000
## [4076] 6.33333333 0.09600000 2.40000000 1.58571429 30.48000000
## [4081] 6.05000000 4.87500000 0.03130435 5.74680000 0.66666667
## [4086] 3.53936842 1.66666667 3.58800000 10.62222222 2.64827586
## [4091] 6.25090909 0.23076923 4.38000000 3.33333333 3.20000000
## [4096] 7.25000000 5.70000000 2.70000000 2.95200000 5.32000000
## [4101] 2.94315790 4.28571429 2.52000000 15.60000000 -1.11428571
## [4106] -1.61280000 2.93142857 3.21428571 -0.48000000 10.92000000
## [4111] 9.85000000 5.83727034 7.96800000 1.34400000 10.36800000
## [4116] 4.27500000 5.40000000 1.61454546 3.26400000 2.92173913
## [4121] 6.19354839 8.33333333 8.41121495 7.32352941 2.64000000
## [4126] 3.16800000 2.44000000 9.50400000 1.65600000 9.97500000
## [4131] 3.13846154 13.65900000 3.90000000 9.33333333 6.93333333
## [4136] 5.18181818 5.35000000 4.12800000 5.00000000 5.60000000
## [4141] 4.86000000 5.16923077 0.72000000 3.64800000 2.44800000
## [4146] 3.36000000 4.54545455 4.14000000 3.24324324 2.01600000
## [4151] 0.60000000 0.40000000 1.20000000 2.46000000 1.14000000
## [4156] 0.10285714 0.28800000 7.08000000 3.65454546 7.66285714
## [4161] 2.92800000 -1.80000000 4.23529412 7.61142857 2.59200000
## [4166] 3.92307692 1.00000000 2.27142857 11.23636364 3.66000000
## [4171] 3.75000000 9.51272727 8.34000000 1.40000000 6.86400000
## [4176] 5.94000000 1.27659575 1.42080000 1.98461538 3.72000000
## [4181] 4.68000000 9.30000000 8.48000000 -1.37142857 8.82000000
## [4186] 1.80000000 2.49600000 3.63529412 2.85000000 5.25333333
## [4191] -0.28800000 1.89000000 1.80000000 5.40000000 3.84000000
## [4196] 5.63076923 1.90000000 6.90000000 2.34000000 2.97931035
## [4201] 9.36000000 1.08000000 2.12571429 7.62666667 1.12500000
## [4206] 15.08571429 2.11764706 2.78181818 2.00000000 2.16000000
## [4211] 2.49000000 2.02105263 4.06956522 1.80923077 8.54400000
## [4216] 0.96000000 0.51428571 2.40000000 2.06896552 2.40000000
## [4221] 5.17500000 1.77777778 3.64285714 3.54461539 2.01600000
## [4226] -0.72000000 1.57377049 1.66153846 5.46352941 5.01818182
## [4231] 3.12857143 2.77333333 0.00000000 1.05000000 0.98526316
## [4236] 4.27826087 3.15000000 7.80000000 2.88000000 6.28235294
## [4241] 6.00000000 3.56250000 -0.20000000 5.02500000 2.16000000
## [4246] 0.37090909 2.00000000 6.46451613 5.46923077 4.68000000
## [4251] 5.06250000 2.34000000 3.86666667 0.31500000 7.52727273
## [4256] 1.80000000 13.30000000 0.99082569 0.68571429 2.25000000
## [4261] 4.28571429 3.78000000 2.11200000 -0.13333333 5.89714286
## [4266] 4.01538462 2.37857143 0.04363636 1.51578947 6.10285714
## [4271] 2.76923077 4.14545454 6.00000000 3.86915888 3.10153846
## [4276] 1.40000000 9.12000000 7.20000000 3.83551402 0.71928000
## [4281] 1.86782609 4.07142857 -1.72800000 1.50000000 3.79200000
## [4286] 2.40000000 3.16000000 5.00400000 3.12000000 3.12857143
## [4291] 4.44444444 1.97142857 3.80000000 1.94400000 5.81538462
## [4296] 3.42000000 4.26666667 1.08000000 2.02500000 2.72307692
## [4301] 9.27272727 3.38095238 3.02857143 2.66086957 0.66666667
## [4306] 2.10000000 0.80000000 1.74545455 2.88000000 6.33750000
## [4311] 2.91428571 3.24000000 1.97183099 1.32000000 3.85263158
## [4316] 2.05714286 3.12857143 1.90909091 2.63225806 2.40000000
## [4321] 10.73684211 0.39600000 4.67478261 1.41000000 2.88000000
## [4326] 0.76800000 1.17000000 1.79104478 3.31914894 3.57818182
## [4331] 1.92000000 8.32500000 5.65714286 10.66666667 7.69090909
## [4336] 4.32000000 2.88000000 1.28571429 0.82285714 5.54400000
## [4341] -0.16800000 3.16000000 4.80000000 3.60000000 4.02857143
## [4346] 2.21052632 0.45176471 3.72000000 7.72363636 1.38000000
## [4351] 3.00000000 0.66000000 6.80492547 3.33434483 11.70000000
## [4356] 7.66222222 4.41000000 0.62400000 6.72000000 7.61538461
## [4361] 1.10400000 -0.53333333 2.92173913 1.28571429 5.35500000
## [4366] 3.68000000 2.48727273 2.40000000 2.11200000 2.62800000
## [4371] 2.84000000 6.13333333 1.17000000 4.93333333 7.99200000
## [4376] 6.63272727 2.77894737 1.03200000 1.29600000 4.56000000
## [4381] 2.06222222 3.21391304 1.70666667 2.37142857 31.00000000
## [4386] 11.25000000 7.20000000 0.85714286 4.53488372 2.62285714
## [4391] 0.90000000 2.55652174 4.67368421 1.69714286 2.14000000
## [4396] 1.49791956 3.42857143 2.56000000 3.35000000 2.56000000
## [4401] 5.53846154 6.60000000 0.14400000 3.73333333 -0.50400000
## [4406] 1.48800000 2.05714286 11.00000000 10.40000000 9.60000000
## [4411] 4.34482759 -1.14000000 2.66086957 3.65000000 -0.24000000
## [4416] 4.33333333 2.59090909 2.62285714 4.15384615 5.48571429
## [4421] 8.76923077 4.43076923 7.62000000 3.00000000 1.88000000
## [4426] 2.34514286 7.70000000 0.85714286 3.33750000 6.97500000
## [4431] -1.07142857 7.44000000 1.17945206 10.98947368 1.68000000
## [4436] 8.28000000 3.25000000 -0.86896552 4.64000000 8.33333333
## [4441] 0.08000000 1.53333333 0.56842105 1.44000000 7.94181818
## [4446] 3.111111111B) Compute the mean and standard deviation of the assigned features (columns)
- Commands: mean() sd()
- Use the mean() function on feature to calculate the average
- Name the result mean and the feature name. For example meanChecking
# Calculate the feature averate
meanExpenses = mean(expenses)
# Inspect the variable with the calculated mean
meanExpenses## [1] 55.60144Repeat the same procedure for the other feature
# Calculate the feature averate
meanSavings = mean(savings)
# Inspect the variable with the calculated mean
meanSavings## [1] 3.8600831C) Compute the standard deviation or spread of the two features
- Commands: sd()
Compute the standard deviation for the first feature
#Computing the standard deviation
spreadExpenses = sd(expenses)
# Inspect the variable with the calculated sd
spreadExpenses## [1] 19.52084Compute the standard deviation for the second feature
# Calculate the feature standard deviation
spreadSavings = sd(savings)
# Inspect the variable with the calculated standard deviation
spreadSavings## [1] 3.7262921D) Compute the signal to noise ratio (SNR) using the given formula:
- SNR: Is the average (mean) divided by the spread (sd).
#Compute the snr of Checking and name it snr_Checking (meanChecking/spreadChecking)
snr_Expenses = meanExpenses/spreadExpenses
#Call snr_Checking
snr_Expenses## [1] 2.848312# Find the SNR of the second feature
snr_Savings = meanSavings/spreadSavings
# Inspect the variable with the calculated SNR
snr_Savings## [1] 1.035905Of the two features which has a higher SNR? Why do you think that is? Write your answer below.
Expenses is higher. A lower SNR in savings means that you either save a greater amount or have fewer expenses comparitively to someone else.
Task 2
2A) Examine the content of the csv file ‘Scoring.csv’ by opening the file in RStudio and display the first rows of the dataset.
credit = read_csv("data/scoring.csv")## Parsed with column specification:
## cols(
## Status = col_character(),
## Seniority = col_integer(),
## Home = col_character(),
## Time = col_integer(),
## Age = col_integer(),
## Marital = col_character(),
## Records = col_character(),
## Job = col_character(),
## Expenses = col_integer(),
## Income = col_integer(),
## Assets = col_integer(),
## Debt = col_integer(),
## Amount = col_character(),
## Price = col_character(),
## Finrat = col_double(),
## Savings = col_double()
## )2B) Create an star schema using the website erdplus stanalone feature: https://erdplus.com/#/standalone
Below is an example of what the simple star relational schema should look like.
Example of how to create an start schema using erdplus
Example of how to export the final start schema on erdplus
Completed Star Schema Example
2C) Create a code chunk and display the star schema diagram
knitr::include_graphics(‘imgs/img06.png’)
Task 3
Here we are going to familiarize with watson analytics, you should have access to the portal below. https://watson.analytics.ibmcloud.com
3A) Login into Watson Analytics and upload the assigned dataset. Take a screenshot of watson’s Data section showing the quality of the dataset
knitr::include_graphics(‘imgs/Screenshot.png’)
3B) Use Watson Discovery capabilities to find insights in the dataset. Take a screenshot of the discovery section.
knitr::include_graphics(‘imgs/Discovery.png’)
3C) Save your work and upload a screenshot of something that you find below explain the output.
knitr::include_graphics(‘FinalScreenshot.png’)