Business Analytics Lab Worksheet 01
CME Group Foundation Business Analytics Lab
Matthew Krishnan
17 July 2017
About
R-Studio is a free and open-source integrated development environment (IDE) for R, a programming language for statistical computing and graphics. The Credit Risk Data displays the credit risk of an individual based on the loan they have taken out and other features of the individual.
Capabilities
R studio is able to compute various statistical and graphical techniques, such as linear and nonlinear modeling, classical statistical tests, time-series analysis, classification, clustering, time series plots, maps, etc.
Setup
After downloading the bdad_lab01 zip folder, make sure to open the folder in the downloads, right click it, and select ‘extract’. This will give you a new unzipped folder. Next, we must set this folder as the working directory. The way to do this is to open R Studio, go to ‘Session’, scroll down to ‘Set Working Directory’, and click ‘To Source File Location’. Now, follow the directions to complete the lab.
Task 1
To begin the Lab, examine the content of the csv file ‘creditrisk.csv’ by opening the file in RStudio. Create a simple star relational schema in erdplus stanalone feature https://erdplus.com/#/standalone, take a screenshot of the image, and upload it below.
To add a picture, use the directions found in Lab 0. Below is an example of what the simple star relational schema should look like.
Steps to create an star relation schema using erdplus.
Task 2
Next, read the csv file into R Studio. It can be useful to name your data to create a shortcut to it. Here we will label the data, ‘mydata’. To see the data in the console, one can ‘call’ it by referring to it by its given name.
mydata = read.csv(file="data/Scoring.csv")
head(mydata)## Status Seniority Home Time Age Marital Records Job Expenses
## 1 good 9 rent 60 30 married no_rec freelance 73
## 2 good 17 rent 60 58 widow no_rec fixed 48
## 3 bad 10 owner 36 46 married yes_rec freelance 90
## 4 good 0 rent 60 24 single no_rec fixed 63
## 5 good 0 rent 36 26 single no_rec fixed 46
## 6 good 1 owner 60 36 married no_rec fixed 75
## Income Assets Debt Amount Price Finrat Savings
## 1 129 0 0 $800.00 $846.00 94.56265 4.200000
## 2 131 0 0 $1,000.00 $1,658.00 60.31363 4.980000
## 3 200 3000 0 $2,000.00 $2,985.00 67.00168 1.980000
## 4 182 2500 0 $900.00 $1,325.00 67.92453 7.933333
## 5 107 0 0 $310.00 $910.00 34.06593 7.083871
## 6 214 3500 0 $650.00 $1,645.00 39.51368 12.830769To capture, or extract, the checking and savings columns and perform some analytics on them, we must first be able to extract the columns from the data separately. Using the ‘$’ sign following the label for the data extracts a specific column. For convenience, we relabel the extracted data.
#Extracting the Income column
income = mydata$Income
#Calling the Income column
income## [1] 129 131 200 182 107 214 125 80 107 80 125 121 199 170 50 131 330
## [18] 200 130 137 107 324 112 140 143 130 180 251 85 150 122 198 150 170
## [35] 119 208 115 99 120 90 137 230 142 71 120 233 289 128 150 145 90
## [52] 301 200 150 100 100 100 155 715 245 150 70 190 152 126 181 185 170
## [69] 176 238 115 200 411 93 108 500 45 250 100 70 150 70 263 200 78
## [86] 120 125 50 146 70 105 413 500 350 200 138 80 208 137 58 130 123
## [103] 180 140 315 164 325 135 109 185 217 300 77 253 101 200 124 143 250
## [120] 135 115 160 214 390 500 95 200 85 214 140 60 180 300 200 242 155
## [137] 100 105 166 120 115 350 214 442 101 122 250 90 160 300 83 200 60
## [154] 205 133 179 69 195 112 210 155 394 149 120 400 165 125 74 86 185
## [171] 165 110 138 300 147 348 112 350 110 75 230 85 210 125 149 201 105
## [188] 183 113 126 300 160 160 89 95 125 120 359 80 67 148 298 318 185
## [205] 39 194 80 147 156 178 130 63 88 140 115 83 144 200 172 200 318
## [222] 177 133 150 208 145 157 190 86 90 100 214 100 117 110 168 150 166
## [239] 283 149 250 120 236 277 55 200 235 80 200 140 125 185 190 150 102
## [256] 170 315 130 156 177 341 240 142 333 125 170 220 230 157 340 120 91
## [273] 150 88 120 70 106 162 77 128 189 300 92 380 500 130 141 220 146
## [290] 250 132 150 127 90 166 69 182 77 50 131 62 60 86 143 120 283
## [307] 138 90 99 160 330 100 210 100 97 65 227 140 115 150 90 275 176
## [324] 110 140 500 66 273 145 67 232 80 130 200 154 187 135 160 133 230
## [341] 154 50 189 202 20 40 50 125 100 115 160 70 220 99 107 160 150
## [358] 232 120 225 100 80 208 105 98 532 140 90 155 120 159 122 156 90
## [375] 130 45 118 152 135 125 208 81 160 300 135 121 145 165 428 233 245
## [392] 232 200 42 87 200 250 350 105 100 160 132 140 160 148 113 97 107
## [409] 206 275 176 175 223 70 87 42 60 300 144 217 180 69 110 50 86
## [426] 172 109 95 203 114 186 155 195 246 113 290 103 125 199 133 210 124
## [443] 78 200 100 95 183 43 120 198 100 150 133 110 202 140 123 275 200
## [460] 180 55 105 146 100 136 90 144 116 128 105 125 68 400 251 225 140
## [477] 34 320 124 87 161 90 92 110 87 93 110 81 98 155 167 190 110
## [494] 76 170 214 70 55 80 81 139 206 74 120 300 224 80 166 110 161
## [511] 80 150 170 100 225 166 200 110 110 160 204 135 158 290 100 115 149
## [528] 143 150 199 142 80 93 113 92 205 210 256 260 106 160 148 220 63
## [545] 106 81 100 260 243 88 186 105 80 154 35 63 297 161 200 140 125
## [562] 78 57 300 66 202 175 150 158 92 123 125 113 167 148 156 123 143
## [579] 180 92 150 92 139 250 315 121 180 129 214 99 110 85 138 93 100
## [596] 160 215 90 464 167 86 125 274 135 300 300 128 90 115 107 300 230
## [613] 122 43 250 190 100 246 85 173 150 86 183 100 94 150 140 107 117
## [630] 230 470 102 210 42 130 90 120 117 160 90 50 100 182 135 67 167
## [647] 137 140 85 324 77 100 42 251 180 400 158 300 90 146 255 250 50
## [664] 150 232 190 178 254 110 70 100 137 258 242 85 179 125 500 140 70
## [681] 150 245 193 110 70 115 85 400 130 120 250 108 225 300 250 150 156
## [698] 319 100 51 145 168 54 100 115 209 180 63 130 170 157 79 64 99
## [715] 35 150 65 100 160 215 112 126 150 136 123 80 72 110 111 60 184
## [732] 104 290 173 125 60 160 126 148 170 230 166 67 190 80 60 91 96
## [749] 180 130 67 100 830 125 30 237 152 95 139 145 300 135 80 100 275
## [766] 250 125 100 130 131 350 538 276 107 105 156 110 260 34 81 76 98
## [783] 174 132 105 300 117 119 140 70 265 180 62 189 75 70 188 150 124
## [800] 113 98 184 195 159 959 170 28 268 155 240 500 135 225 100 190 200
## [817] 154 210 145 210 102 91 75 150 120 36 129 125 156 72 166 75 125
## [834] 250 128 155 459 360 100 80 250 105 300 137 110 127 56 75 52 100
## [851] 170 150 188 175 64 110 186 140 200 135 130 200 33 69 90 175 197
## [868] 125 170 247 250 130 207 65 180 250 129 159 116 88 120 100 100 113
## [885] 80 150 52 71 99 63 166 108 134 138 110 160 176 70 60 130 176
## [902] 130 108 144 150 183 108 200 180 130 140 141 127 117 130 240 425 800
## [919] 80 95 71 135 47 250 150 118 130 125 171 265 100 69 293 87 110
## [936] 75 40 140 122 161 70 65 66 73 178 140 50 78 60 350 140 125
## [953] 121 155 133 117 125 136 25 176 430 125 79 92 176 85 188 300 100
## [970] 120 60 125 464 176 90 200 415 318 163 72 156 49 110 140 92 74
## [987] 145 104 400 95 150 160 177 85 380 107 134 81 191 100 110 225 100
## [1004] 217 176 254 126 200 101 119 152 113 119 267 75 80 137 107 62 62
## [1021] 125 190 124 144 184 100 80 129 225 191 150 127 283 195 114 64 100
## [1038] 113 178 100 100 310 86 139 94 135 110 145 53 229 285 240 86 165
## [1055] 129 131 123 208 133 500 102 150 100 110 65 120 78 187 428 60 116
## [1072] 114 208 123 64 350 85 90 250 173 135 210 80 173 130 112 70 116
## [1089] 165 116 25 130 52 78 148 246 74 138 155 247 85 42 157 236 137
## [1106] 152 100 167 330 250 80 200 84 200 187 70 120 80 41 57 239 70
## [1123] 250 222 150 175 138 72 136 40 130 190 243 98 126 55 88 181 77
## [1140] 110 125 225 74 115 137 202 135 145 54 80 140 90 32 130 285 75
## [1157] 150 172 300 73 165 300 217 134 90 100 217 62 60 117 73 86 67
## [1174] 165 166 82 90 327 145 202 150 223 325 143 100 124 110 120 107 83
## [1191] 162 245 243 76 400 106 120 122 80 120 200 191 67 169 210 110 45
## [1208] 150 100 345 122 110 90 76 340 185 101 196 158 221 133 331 150 390
## [1225] 146 478 90 169 100 90 160 222 111 111 168 215 94 63 280 220 126
## [1242] 120 90 191 148 102 88 150 115 76 145 69 207 60 73 112 95 150
## [1259] 250 46 60 92 120 231 175 160 109 247 140 100 115 12 63 79 333
## [1276] 183 46 25 159 292 160 135 120 135 74 209 100 148 130 101 49 200
## [1293] 94 114 53 132 42 90 606 141 141 68 150 165 70 70 60 241 426
## [1310] 53 74 180 154 63 289 190 147 198 400 130 140 100 143 87 171 203
## [1327] 154 130 90 92 22 210 115 80 110 86 117 138 88 54 166 364 65
## [1344] 109 57 99 227 57 80 70 105 65 45 72 80 157 117 100 130 91
## [1361] 67 69 113 450 50 450 87 180 132 150 189 125 64 145 67 127 160
## [1378] 63 60 67 88 170 145 60 92 195 80 184 42 125 161 117 164 75
## [1395] 85 120 240 250 78 102 152 96 92 199 71 80 190 200 140 140 114
## [1412] 140 140 90 424 155 239 175 180 50 113 100 122 905 52 157 400 157
## [1429] 114 120 162 184 198 78 195 400 74 166 135 204 155 120 130 356 230
## [1446] 100 130 145 81 136 200 184 157 76 200 128 90 41 125 100 250 47
## [1463] 57 78 100 102 133 104 1 500 100 150 115 38 67 123 85 60 82
## [1480] 345 142 107 161 63 79 93 137 74 131 113 30 154 164 84 199 120
## [1497] 234 275 250 110 65 200 300 58 99 139 208 99 54 140 78 79 80
## [1514] 85 121 250 104 78 157 192 103 75 177 75 210 54 105 68 50 128
## [1531] 93 134 189 139 125 100 50 155 128 195 183 160 160 75 214 77 207
## [1548] 180 132 128 96 70 125 81 150 175 112 80 73 164 186 391 80 280
## [1565] 136 70 199 150 140 175 125 78 75 210 125 174 100 100 131 110 180
## [1582] 79 183 205 118 117 135 113 60 85 135 146 150 114 124 110 132 177
## [1599] 74 112 125 220 96 100 200 100 196 152 86 113 200 150 95 160 122
## [1616] 450 127 51 70 70 213 70 280 195 56 138 205 137 79 95 80 134
## [1633] 65 159 40 70 115 67 102 125 180 240 250 54 170 116 225 54 124
## [1650] 123 95 160 115 218 301 293 128 64 25 96 98 55 154 105 117 318
## [1667] 219 102 250 107 60 83 93 105 70 117 183 120 90 104 200 74 313
## [1684] 197 320 210 40 250 110 134 19 131 260 100 101 69 52 128 122 150
## [1701] 211 109 139 140 88 60 39 120 161 90 110 60 154 97 178 104 134
## [1718] 500 132 200 144 80 137 218 129 196 182 84 47 325 90 92 250 62
## [1735] 146 37 105 100 77 154 54 149 56 251 65 160 300 56 118 174 86
## [1752] 233 285 105 122 160 209 160 157 65 225 105 120 130 154 169 160 128
## [1769] 187 120 200 142 107 126 144 90 55 208 121 51 148 116 152 118 80
## [1786] 120 100 144 90 150 87 50 104 250 112 121 334 52 143 250 244 179
## [1803] 194 210 257 91 92 175 90 171 159 166 100 100 160 59 142 53 305
## [1820] 185 142 107 153 66 65 111 100 131 125 110 113 80 93 227 81 110
## [1837] 44 175 115 58 124 140 117 140 157 126 29 228 50 300 100 153 100
## [1854] 142 151 73 134 125 160 120 86 100 190 200 109 126 43 155 170 200
## [1871] 87 104 102 101 150 75 44 279 104 165 129 160 198 71 162 61 156
## [1888] 95 95 200 158 110 124 89 68 31 125 99 155 110 82 129 70 124
## [1905] 223 82 100 275 150 117 265 100 382 86 178 70 120 100 85 125 60
## [1922] 150 110 144 122 75 60 80 78 125 141 60 366 230 217 60 101 175
## [1939] 130 130 201 97 70 126 56 153 150 208 248 123 68 250 165 130 185
## [1956] 83 123 192 190 164 110 126 173 147 158 160 334 300 150 150 120 268
## [1973] 108 232 114 155 147 46 311 112 89 120 145 115 138 125 157 43 373
## [1990] 75 110 174 148 187 90 224 178 133 185 70 95 160 857 150 106 120
## [2007] 100 120 61 79 154 146 118 69 130 113 74 150 92 334 100 60 53
## [2024] 59 165 111 93 50 111 60 68 60 60 117 110 65 74 44 177 90
## [2041] 150 120 150 180 320 260 140 182 129 88 350 190 70 80 140 112 150
## [2058] 112 100 85 162 95 400 700 72 100 100 64 124 80 38 295 206 213
## [2075] 120 97 180 143 70 103 157 179 69 250 53 52 145 70 113 303 291
## [2092] 180 136 140 105 94 219 66 92 70 142 138 230 142 216 260 60 63
## [2109] 139 300 65 167 120 80 100 240 178 92 250 70 120 89 41 212 113
## [2126] 180 172 46 50 80 254 160 130 100 184 133 66 120 98 45 171 118
## [2143] 205 145 135 125 117 260 251 130 134 246 185 148 200 200 61 150 170
## [2160] 115 215 60 150 144 75 70 120 222 120 165 250 65 94 141 150 66
## [2177] 82 156 114 92 79 74 178 150 59 60 110 150 154 220 115 130 113
## [2194] 198 80 77 219 310 175 321 179 185 210 77 33 70 83 17 176 65
## [2211] 76 110 84 170 95 95 40 165 50 164 150 26 90 200 100 110 150
## [2228] 134 121 120 106 100 79 98 134 90 210 160 120 211 80 70 67 71
## [2245] 92 158 115 80 176 321 112 134 75 100 75 80 170 140 120 100 200
## [2262] 50 83 75 62 220 100 137 97 100 170 151 115 153 299 67 135 177
## [2279] 140 85 95 119 145 100 200 159 96 85 60 152 70 89 138 187 110
## [2296] 148 89 106 98 198 40 100 145 80 84 208 212 169 120 180 136 130
## [2313] 205 148 174 90 68 134 169 103 121 100 54 114 81 196 65 250 90
## [2330] 103 164 52 129 150 80 90 95 92 47 115 115 130 190 76 58 75
## [2347] 260 136 152 209 186 90 120 110 80 132 245 200 66 267 6 185 144
## [2364] 46 108 50 80 120 168 183 90 156 102 142 280 195 79 220 122 87
## [2381] 114 94 187 491 250 204 165 130 79 70 96 85 232 66 155 184 100
## [2398] 228 140 158 144 340 250 296 139 110 70 87 108 90 56 235 60 225
## [2415] 89 80 63 250 143 73 126 101 60 169 193 90 116 60 107 150 254
## [2432] 319 90 122 93 121 93 162 154 43 51 135 60 106 160 76 137 115
## [2449] 60 173 90 365 154 56 100 70 75 60 128 120 54 113 71 120 55
## [2466] 90 69 154 16 416 105 210 146 150 105 148 84 60 80 226 130 100
## [2483] 175 38 163 131 125 212 89 104 65 75 126 91 103 100 164 131 54
## [2500] 85 60 48 312 80 83 77 63 31 108 68 120 213 450 145 90 114
## [2517] 104 240 45 70 85 82 80 66 82 99 46 178 147 280 75 190 240
## [2534] 280 62 90 96 159 155 78 283 130 80 129 122 65 127 125 260 158
## [2551] 163 131 140 132 66 140 150 110 59 87 139 100 135 137 120 91 87
## [2568] 142 65 464 83 183 126 66 90 84 61 103 55 185 85 101 180 220
## [2585] 142 91 57 62 27 37 176 124 128 92 100 300 167 222 169 80 50
## [2602] 138 187 140 58 83 38 51 35 84 95 104 390 209 71 200 48 66
## [2619] 86 82 126 111 87 535 104 41 270 53 49 140 67 189 80 170 110
## [2636] 98 67 120 150 62 100 160 205 115 75 198 76 110 531 145 120 100
## [2653] 167 245 100 190 125 90 205 51 144 146 235 160 90 115 213 85 192
## [2670] 169 90 61 75 80 64 178 239 180 120 349 99 122 111 91 109 35
## [2687] 371 67 199 107 57 70 63 204 185 115 141 81 100 96 161 150 199
## [2704] 96 198 21 70 50 121 58 93 100 130 260 55 110 69 95 232 35
## [2721] 156 105 58 89 147 77 66 125 150 105 500 125 50 95 181 140 75
## [2738] 182 117 217 58 180 110 87 75 198 233 126 43 154 160 160 70 120
## [2755] 80 90 120 190 130 111 280 110 184 150 150 85 200 88 58 98 198
## [2772] 171 150 72 101 122 306 200 107 147 100 172 300 109 345 92 410 70
## [2789] 107 115 165 200 180 87 154 174 60 182 34 64 36 85 115 57 215
## [2806] 273 101 110 44 57 163 120 52 136 82 124 265 189 184 230 260 111
## [2823] 125 440 200 245 88 92 92 130 150 112 134 101 143 92 150 162 45
## [2840] 100 118 72 129 110 80 97 103 127 96 94 93 148 274 140 77 91
## [2857] 85 175 466 150 52 72 162 139 105 93 642 155 120 155 165 150 105
## [2874] 65 86 49 163 101 122 126 100 27 167 45 136 150 32 130 218 230
## [2891] 104 103 118 240 120 80 99 254 167 120 108 152 111 228 107 101 105
## [2908] 150 165 125 240 110 122 152 60 90 40 186 131 153 159 100 128 128
## [2925] 109 198 190 73 32 192 160 122 84 130 169 150 142 101 65 285 151
## [2942] 72 80 71 95 135 202 37 25 110 103 216 75 114 198 270 200 64
## [2959] 90 132 70 164 68 179 84 164 25 111 123 384 217 234 345 113 182
## [2976] 126 99 170 184 147 200 42 69 93 69 245 88 150 42 176 64 277
## [2993] 55 97 230 125 92 87 126 134 77 85 203 47 230 102 267 116 352
## [3010] 170 92 112 138 134 90 84 72 200 45 136 125 78 140 106 197 122
## [3027] 85 87 93 86 109 53 341 91 105 147 335 173 147 260 100 264 132
## [3044] 53 123 292 100 135 90 60 152 145 80 110 172 115 190 56 298 72
## [3061] 80 184 233 355 32 49 185 115 73 119 219 105 267 134 40 184 90
## [3078] 119 170 118 85 95 133 81 190 191 70 127 84 142 125 178 240 125
## [3095] 80 200 94 70 110 110 132 168 64 19 100 130 95 70 383 63 215
## [3112] 104 164 209 53 261 142 182 92 100 121 130 123 78 41 113 160 86
## [3129] 100 100 92 134 194 135 65 189 200 158 97 180 180 119 130 139 117
## [3146] 145 57 210 296 150 100 205 93 84 77 140 141 86 125 99 93 42
## [3163] 69 100 211 68 240 112 85 122 250 325 55 47 120 74 39 126 150
## [3180] 98 109 77 65 140 107 181 77 241 350 149 203 158 90 150 93 104
## [3197] 95 218 214 70 125 110 140 79 123 120 100 85 75 77 86 55 60
## [3214] 173 225 105 95 75 158 346 61 260 72 207 195 67 105 103 75 34
## [3231] 97 135 80 121 71 125 170 81 190 475 89 140 200 88 164 180 83
## [3248] 110 100 125 159 105 140 120 100 142 314 64 47 50 120 250 130 142
## [3265] 88 121 65 80 125 245 247 80 183 163 60 169 96 59 189 119 63
## [3282] 102 72 127 51 130 83 100 115 160 98 120 82 115 137 48 232 72
## [3299] 143 107 180 65 124 103 120 60 80 87 85 143 125 290 350 151 139
## [3316] 178 94 352 24 80 102 175 140 114 176 73 233 92 73 124 120 82
## [3333] 75 250 50 195 141 90 178 274 85 195 70 232 150 108 150 335 151
## [3350] 109 125 160 82 199 111 310 167 57 95 103 120 65 90 116 75 93
## [3367] 90 64 190 95 76 74 78 134 108 212 128 155 83 100 179 85 96
## [3384] 33 101 178 85 47 88 156 45 121 295 120 188 131 181 72 150 100
## [3401] 131 62 125 62 158 270 150 149 225 138 100 153 141 170 59 67 65
## [3418] 400 175 110 128 95 114 130 74 100 142 164 150 320 74 211 105 111
## [3435] 70 125 40 45 180 85 187 100 22 124 192 249 174 82 100 178 108
## [3452] 100 94 49 150 165 108 67 120 88 75 200 232 129 134 100 85 92
## [3469] 105 177 110 80 143 105 88 124 184 100 50 80 292 100 130 150 183
## [3486] 136 91 107 125 45 30 64 116 140 61 86 89 165 67 95 121 128
## [3503] 90 103 148 130 229 143 65 163 162 154 55 53 76 192 200 115 90
## [3520] 175 60 114 110 130 92 176 68 130 103 200 170 270 82 79 139 205
## [3537] 100 188 135 200 92 120 172 44 169 115 180 63 86 130 200 167 100
## [3554] 73 22 83 122 116 100 117 135 72 266 293 98 57 116 200 104 225
## [3571] 141 145 45 146 225 142 161 105 121 436 76 37 148 214 174 400 120
## [3588] 210 155 185 244 130 167 145 149 78 266 175 169 170 140 271 91 75
## [3605] 162 135 147 177 102 200 130 150 125 108 150 142 188 140 122 112 110
## [3622] 106 150 105 72 106 65 300 92 100 118 71 66 101 164 57 159 140
## [3639] 180 80 81 114 350 73 107 120 110 130 78 96 114 175 72 140 115
## [3656] 66 124 201 80 90 110 122 315 270 200 95 242 364 182 105 91 225
## [3673] 100 85 100 250 150 178 256 85 82 220 59 61 88 244 160 119 63
## [3690] 257 189 123 130 113 102 54 190 110 80 98 237 147 250 95 230 106
## [3707] 130 104 206 128 120 66 247 63 66 70 140 178 203 87 555 115 95
## [3724] 55 140 85 198 130 80 200 95 58 224 168 179 107 160 111 80 110
## [3741] 108 181 67 25 150 170 150 294 100 100 192 100 171 245 124 110 70
## [3758] 72 133 54 250 196 92 325 136 110 157 162 70 175 86 69 148 129
## [3775] 150 102 140 120 66 115 84 128 155 140 230 105 140 207 75 250 200
## [3792] 52 135 143 90 102 250 162 140 235 60 124 70 140 100 184 90 116
## [3809] 57 210 53 111 200 160 98 159 14 67 109 59 74 106 48 62 70
## [3826] 150 95 202 100 115 164 155 150 165 108 93 133 55 148 130 120 124
## [3843] 99 120 250 37 71 74 73 135 70 79 105 102 50 160 120 107 253
## [3860] 155 130 120 124 75 150 100 78 60 419 112 147 165 160 147 34 73
## [3877] 98 123 14 100 56 90 294 135 80 112 100 115 67 375 113 53 73
## [3894] 34 196 56 200 102 310 106 103 131 117 120 33 43 130 110 60 107
## [3911] 65 173 134 173 78 95 89 155 87 134 61 185 300 68 320 139 159
## [3928] 79 260 100 231 82 120 91 203 96 53 170 112 90 225 205 155 51
## [3945] 144 80 76 140 90 107 190 145 93 145 55 173 110 159 68 170 160
## [3962] 48 128 125 72 115 288 160 114 118 60 139 195 108 140 145 105 56
## [3979] 216 130 120 90 103 84 193 164 100 60 92 300 92 227 150 91 144
## [3996] 161 113 146 70 318 115 90 215 340 42 104 81 114 210 83 223 117
## [4013] 100 105 292 110 42 80 120 90 112 136 85 144 140 183 250 81 56
## [4030] 170 71 94 112 115 100 71 125 35 200 160 49 179 221 214 145 142
## [4047] 200 72 105 211 90 100 118 88 147 103 197 127 235 126 200 233 78
## [4064] 106 178 111 71 101 53 116 237 165 128 154 216 155 37 105 82 695
## [4081] 180 125 85 167 45 174 95 334 314 110 163 80 110 90 83 190 92
## [4098] 80 76 187 170 160 109 165 50 36 92 120 37 242 232 214 234 125
## [4115] 251 140 300 119 158 91 195 160 110 201 130 68 157 233 104 168 120
## [4132] 230 136 185 155 145 169 135 120 200 197 130 55 111 136 157 160 81
## [4149] 160 81 55 85 95 142 54 48 120 178 102 184 96 8 106 193 62
## [4166] 120 80 98 241 106 160 160 184 80 178 193 60 80 103 107 111 200
## [4183] 187 19 182 145 97 148 170 232 101 73 90 125 115 192 84 150 111
## [4200] 139 240 50 76 188 95 145 72 120 85 60 211 67 143 84 134 76
## [4217] 106 90 120 85 183 75 120 83 102 71 92 107 164 150 120 112 60
## [4234] 78 73 130 165 214 93 166 210 110 87 194 150 52 75 297 182 201
## [4251] 180 100 115 75 210 110 700 103 130 95 200 161 101 120 115 150 230
## [4268] 118 93 149 95 250 160 190 56 70 208 210 102 50 214 140 23 110
## [4285] 127 60 114 184 87 120 145 81 92 97 150 102 99 56 80 94 205
## [4302] 118 113 120 70 105 55 102 79 152 105 89 95 91 96 128 120 70
## [4319] 162 81 205 71 177 92 99 67 100 75 100 117 63 146 200 300 231
## [4336] 130 114 110 72 125 53 154 100 100 82 105 68 107 104 150 100 82
## [4353] 220 116 230 466 159 58 163 225 137 50 131 70 204 90 110 300 104
## [4370] 108 148 208 48 230 267 187 170 88 71 92 95 125 138 143 218 120
## [4387] 120 130 165 115 114 84 174 140 142 90 75 74 124 110 120 205 51
## [4404] 140 38 107 77 190 175 285 129 232 114 108 60 100 140 154 150 175
## [4421] 260 170 172 150 82 92 199 70 130 200 50 184 76 219 63 242 100
## [4438] 69 190 160 77 92 75 90 140 140***Note that the entirety of the column’s 4000+ data entries were not able to be called. The following computations will not reflect entire population.
#Extracting expenses column
expenses = mydata$Expenses
#Calling expenses 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 60#Extracting Savings Column
savings = mydata$Savings
#Calling savings 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] 3.11111111In order to calculate the mean, or the average by hand of the checkings columns, one can add each individual entry and divide by the total number or rows. This would take much time, but thankfully, R has a command for this.
#Here, I calculate and call the mean of the three columns
mean_income = mean(income)
mean_income## [1] 140.6298mean_expenses = mean(expenses)
mean_expenses## [1] 55.60144mean_savings = mean(savings)
mean_savings## [1] 3.860083Next, compute the standard deviation or spread of both the checkings and savings columns.
spread_income = sd(income)
spread_income## [1] 80.1779spread_expenses = sd(expenses)
spread_expenses## [1] 19.52084spread_savings = sd(savings)
spread_savings## [1] 3.726292Now, to compute the SNR, the signal to noise ratio, a formula is created because there is no built in function.
SNR is the mean, or average, divided by the spread.
snr_income = mean_income/spread_income
snr_income## [1] 1.753972snr_expenses = mean_expenses/spread_expenses
snr_expenses## [1] 2.848312snr_savings = mean_savings/spread_savings
snr_savings## [1] 1.035905Of the income, expenses, and savings SNR’s, expenses has a highest SNR because the basic standard of living is consistent with all of these potential clients. While clients with higher incomes may spend more money on luxury goods, people across all spectrums of earnings must spend a common amount to sustain them and their families. This number is the highest because the signal, or the mean, is more than twice greater than its standard deviation.The SNR for savings, however, is smaller due to individual choices of how one should use his or her money. The lower income SNR can be summed up to different backgrounds, for example education and how long a client has been working for a company.
str(mydata)## 'data.frame': 4446 obs. of 16 variables:
## $ Status : Factor w/ 2 levels "bad","good": 2 2 1 2 2 2 2 2 2 1 ...
## $ Seniority: int 9 17 10 0 0 1 29 9 0 0 ...
## $ Home : Factor w/ 6 levels "ignore","other",..: 6 6 3 6 6 3 3 4 3 4 ...
## $ Time : int 60 60 36 60 36 60 60 12 60 48 ...
## $ Age : int 30 58 46 24 26 36 44 27 32 41 ...
## $ Marital : Factor w/ 5 levels "divorced","married",..: 2 5 2 4 4 2 2 4 2 2 ...
## $ Records : Factor w/ 2 levels "no_rec","yes_rec": 1 1 2 1 1 1 1 1 1 1 ...
## $ Job : Factor w/ 4 levels "fixed","freelance",..: 2 1 2 1 1 1 1 1 2 4 ...
## $ Expenses : int 73 48 90 63 46 75 75 35 90 90 ...
## $ Income : int 129 131 200 182 107 214 125 80 107 80 ...
## $ Assets : int 0 0 3000 2500 0 3500 10000 0 15000 0 ...
## $ Debt : int 0 0 0 0 0 0 0 0 0 0 ...
## $ Amount : Factor w/ 285 levels "$1,000.00 ","$1,020.00 ",..: 250 1 136 263 178 227 94 160 38 38 ...
## $ Price : Factor w/ 1418 levels "$1,000.00 ","$1,001.00 ",..: 1319 597 1125 284 1356 585 716 71 808 419 ...
## $ Finrat : num 94.6 60.3 67 67.9 34.1 ...
## $ Savings : num 4.2 4.98 1.98 7.93 7.08 ...Task 3
After using Watson Analytics to find patterns in the data, save your work and upload a screenshot here. Refer to Task 1 on how to upload a photo.
This graph shows that the average finrat decreases as the client gets older.
Plotting the age of this company’s clients against their incomes, the graph depicts that the average income declines as they get older.