Project 2B
Alain T Kuiete
10/6/2019
Project 2 C
library(dplyr)##
## Attaching package: 'dplyr'## The following objects are masked from 'package:stats':
##
## filter, lag## The following objects are masked from 'package:base':
##
## intersect, setdiff, setequal, unionlibrary(tidyr)
library(ggplot2)Loading dataset
cp <- read.csv("https://raw.githubusercontent.com/vincentarelbundock/Rdatasets/master/csv/Ecdat/Star.csv")Renaming the columns
cp <- rename(cp, count = X, math.s = tmathssk,
read.s = treadssk, cls.type = classk, sex = sex,
year.exp = totexpk, f.lunch = freelunk, race = race,
sch.ivar = schidkn)Filter row
filter(cp,
cls.type == "small.class",
sex == "girl",
race == "black",
f.lunch == "yes")## count math.s read.s cls.type year.exp sex f.lunch race sch.ivar
## 1 68 434 414 small.class 8 girl yes black 5
## 2 133 494 410 small.class 2 girl yes black 19
## 3 201 528 443 small.class 1 girl yes black 16
## 4 217 468 433 small.class 13 girl yes black 24
## 5 261 449 408 small.class 6 girl yes black 19
## 6 322 489 408 small.class 5 girl yes black 29
## 7 397 513 483 small.class 3 girl yes black 44
## 8 400 468 411 small.class 1 girl yes black 26
## 9 431 429 407 small.class 1 girl yes black 37
## 10 442 478 403 small.class 3 girl yes black 44
## 11 510 500 413 small.class 1 girl yes black 27
## 12 692 484 411 small.class 2 girl yes black 16
## 13 705 478 428 small.class 12 girl yes black 15
## 14 732 449 421 small.class 12 girl yes black 15
## 15 753 454 413 small.class 2 girl yes black 16
## 16 881 365 391 small.class 9 girl yes black 53
## 17 929 463 414 small.class 14 girl yes black 33
## 18 959 429 400 small.class 1 girl yes black 16
## 19 1046 439 418 small.class 14 girl yes black 32
## 20 1061 439 416 small.class 21 girl yes black 15
## 21 1093 429 398 small.class 3 girl yes black 45
## 22 1376 459 410 small.class 1 girl yes black 33
## 23 1446 463 421 small.class 13 girl yes black 14
## 24 1506 576 470 small.class 3 girl yes black 22
## 25 1507 626 538 small.class 13 girl yes black 14
## 26 1539 536 458 small.class 11 girl yes black 27
## 27 1643 375 405 small.class 21 girl yes black 56
## 28 1691 468 445 small.class 8 girl yes black 28
## 29 1723 405 400 small.class 2 girl yes black 28
## 30 1819 489 428 small.class 21 girl yes black 15
## 31 1860 602 538 small.class 3 girl yes black 22
## 32 1865 500 413 small.class 2 girl yes black 28
## 33 2054 500 419 small.class 2 girl yes black 19
## 34 2182 528 447 small.class 6 girl yes black 31
## 35 2202 454 422 small.class 5 girl yes black 24
## 36 2220 547 434 small.class 6 girl yes black 28
## 37 2376 478 445 small.class 3 girl yes black 22
## 38 2386 434 414 small.class 2 girl yes black 19
## 39 2434 489 433 small.class 0 girl yes black 23
## 40 2459 459 413 small.class 6 girl yes black 19
## 41 2469 602 495 small.class 5 girl yes black 29
## 42 2512 506 436 small.class 1 girl yes black 16
## 43 2611 500 440 small.class 14 girl yes black 59
## 44 2657 576 474 small.class 6 girl yes black 72
## 45 2696 463 437 small.class 6 girl yes black 19
## 46 2747 439 405 small.class 10 girl yes black 18
## 47 2824 520 416 small.class 9 girl yes black 22
## 48 2906 454 411 small.class 11 girl yes black 23
## 49 2971 412 397 small.class 2 girl yes black 16
## 50 3039 449 448 small.class 1 girl yes black 32
## 51 3106 468 405 small.class 1 girl yes black 16
## 52 3117 429 424 small.class 10 girl yes black 42
## 53 3143 468 422 small.class 13 girl yes black 14
## 54 3188 405 402 small.class 2 girl yes black 28
## 55 3384 602 465 small.class 13 girl yes black 14
## 56 3416 576 463 small.class 6 girl yes black 19
## 57 3512 434 408 small.class 1 girl yes black 33
## 58 3513 434 408 small.class 12 girl yes black 15
## 59 3797 439 458 small.class 1 girl yes black 32
## 60 3921 520 443 small.class 3 girl yes black 28
## 61 3937 489 430 small.class 14 girl yes black 74
## 62 3956 444 447 small.class 14 girl yes black 33
## 63 3974 513 436 small.class 1 girl yes black 16
## 64 4078 412 418 small.class 12 girl yes black 74
## 65 4176 434 414 small.class 1 girl yes black 16
## 66 4344 468 413 small.class 8 girl yes black 68
## 67 4438 520 476 small.class 11 girl yes black 27
## 68 4542 463 430 small.class 11 girl yes black 27
## 69 4577 449 408 small.class 21 girl yes black 15
## 70 4579 576 497 small.class 3 girl yes black 22
## 71 4581 576 503 small.class 3 girl yes black 22
## 72 4688 418 391 small.class 12 girl yes black 2
## 73 4708 478 456 small.class 21 girl yes black 15
## 74 4839 454 416 small.class 2 girl yes black 16
## 75 4853 423 402 small.class 2 girl yes black 19
## 76 4875 454 443 small.class 3 girl yes black 28
## 77 4898 459 421 small.class 5 girl yes black 29
## 78 4905 412 400 small.class 2 girl yes black 28
## 79 4906 528 450 small.class 0 girl yes black 23
## 80 4976 478 421 small.class 12 girl yes black 15
## 81 5009 459 442 small.class 1 girl yes black 33
## 82 5050 463 437 small.class 11 girl yes black 23
## 83 5179 576 492 small.class 3 girl yes black 44
## 84 5233 520 447 small.class 1 girl yes black 16
## 85 5300 494 439 small.class 1 girl yes black 16
## 86 5347 354 393 small.class 6 girl yes black 50
## 87 5428 506 451 small.class 5 girl yes black 29
## 88 5578 473 405 small.class 2 girl yes black 19
## 89 5640 559 472 small.class 5 girl yes black 29
## 90 5697 459 428 small.class 14 girl yes black 33
## 91 5788 454 461 small.class 14 girl yes black 33
## 92 5793 449 413 small.class 2 girl yes black 19
## 93 5853 434 411 small.class 2 girl yes black 16
## 94 5854 489 405 small.class 14 girl yes black 33
## 95 5913 473 434 small.class 1 girl yes black 33
## 96 5976 506 421 small.class 1 girl yes black 27
## 97 6022 489 445 small.class 2 girl yes black 16
## 98 6025 489 427 small.class 21 girl yes black 20
## 99 6048 494 455 small.class 3 girl yes black 44
## 100 6049 423 384 small.class 21 girl yes black 56
## 101 6055 506 437 small.class 6 girl yes black 28
## 102 6106 454 418 small.class 21 girl yes black 15
## 103 6119 576 443 small.class 6 girl yes black 31
## 104 6180 602 476 small.class 3 girl yes black 28
## 105 6185 489 418 small.class 9 girl yes black 22
## 106 6187 528 437 small.class 14 girl yes black 32
## 107 6292 444 443 small.class 1 girl yes black 32
## 108 6414 468 431 small.class 6 girl yes black 31
## 109 6421 478 414 small.class 6 girl yes black 19
## 110 6497 484 437 small.class 16 girl yes black 72
## 111 6500 506 413 small.class 13 girl yes black 14
## 112 6510 468 410 small.class 19 girl yes black 64
## 113 6521 576 470 small.class 9 girl yes black 22
## 114 6547 626 538 small.class 3 girl yes black 22
## 115 6609 423 408 small.class 14 girl yes black 32
## 116 6617 536 463 small.class 5 girl yes black 29
## 117 6693 528 465 small.class 3 girl yes black 44
## 118 6792 520 428 small.class 3 girl yes black 44
## 119 6840 478 433 small.class 1 girl yes black 26
## 120 6857 489 443 small.class 1 girl yes black 60
## 121 6909 559 518 small.class 0 girl yes black 23
## 122 6945 506 478 small.class 3 girl yes black 44
## 123 6949 459 419 small.class 14 girl yes black 32
## 124 6995 547 431 small.class 5 girl yes black 24
## 125 7000 468 413 small.class 13 girl yes black 14
## 126 7036 459 425 small.class 1 girl yes black 26
## 127 7046 405 395 small.class 3 girl yes black 45
## 128 7108 434 407 small.class 2 girl yes black 16
## 129 7114 559 461 small.class 11 girl yes black 27
## 130 7164 520 455 small.class 5 girl yes black 29
## 131 7508 454 419 small.class 10 girl yes black 18
## 132 7531 547 480 small.class 3 girl yes black 44
## 133 7796 439 414 small.class 1 girl yes black 60
## 134 7800 463 439 small.class 5 girl yes black 24
## 135 7923 439 414 small.class 6 girl yes black 7
## 136 7952 520 447 small.class 6 girl yes black 31
## 137 7954 468 419 small.class 10 girl yes black 18
## 138 8024 375 407 small.class 8 girl yes black 28
## 139 8072 473 433 small.class 3 girl yes black 28
## 140 8084 506 485 small.class 3 girl yes black 44
## 141 8124 536 458 small.class 2 girl yes black 30
## 142 8181 494 440 small.class 11 girl yes black 27
## 143 8185 489 514 small.class 6 girl yes black 19
## 144 8233 439 411 small.class 3 girl yes black 44
## 145 8243 405 395 small.class 8 girl yes black 49
## 146 8295 463 428 small.class 2 girl yes black 30
## 147 8343 547 467 small.class 2 girl yes black 19
## 148 8359 423 414 small.class 12 girl yes black 15
## 149 8413 429 439 small.class 14 girl yes black 33
## 150 8473 459 413 small.class 8 girl yes black 28
## 151 8536 449 407 small.class 10 girl yes black 18
## 152 8550 429 414 small.class 1 girl yes black 33
## 153 8556 392 390 small.class 2 girl yes black 28
## 154 8607 454 403 small.class 21 girl yes black 15
## 155 8679 478 431 small.class 12 girl yes black 15
## 156 8700 489 436 small.class 3 girl yes black 45
## 157 8706 520 510 small.class 3 girl yes black 44
## 158 8710 559 463 small.class 0 girl yes black 23
## 159 8719 494 448 small.class 14 girl yes black 9
## 160 8780 489 434 small.class 2 girl yes black 19
## 161 8814 484 470 small.class 8 girl yes black 68
## 162 8864 463 414 small.class 8 girl yes black 68
## 163 8909 429 413 small.class 12 girl yes black 25
## 164 8912 478 433 small.class 12 girl yes black 2
## 165 9017 449 425 small.class 2 girl yes black 19
## 166 9042 494 445 small.class 1 girl yes black 16
## 167 9073 459 461 small.class 14 girl yes black 32
## 168 9205 506 455 small.class 13 girl yes black 37
## 169 9211 478 402 small.class 21 girl yes black 20
## 170 9258 520 434 small.class 2 girl yes black 16
## 171 9269 520 480 small.class 3 girl yes black 44
## 172 9394 473 451 small.class 5 girl yes black 29
## 173 9509 478 427 small.class 11 girl yes black 23
## 174 9534 449 386 small.class 20 girl yes black 17
## 175 9575 459 450 small.class 14 girl yes black 33
## 176 9583 513 447 small.class 2 girl yes black 28
## 177 9602 405 408 small.class 1 girl yes black 32
## 178 9662 434 434 small.class 1 girl yes black 32
## 179 9754 429 407 small.class 6 girl yes black 28
## 180 9780 489 431 small.class 6 girl yes black 19
## 181 9804 463 440 small.class 21 girl yes black 20
## 182 9871 484 458 small.class 14 girl yes black 33
## 183 9935 602 465 small.class 3 girl yes black 28
## 184 10037 626 527 small.class 3 girl yes black 22
## 185 10042 520 463 small.class 3 girl yes black 28
## 186 10074 484 443 small.class 1 girl yes black 33
## 187 10117 392 395 small.class 1 girl yes black 26
## 188 10189 473 408 small.class 1 girl yes black 27
## 189 10324 439 419 small.class 3 girl yes black 45
## 190 10381 494 465 small.class 14 girl yes black 32
## 191 10485 506 437 small.class 1 girl yes black 16
## 192 10506 418 411 small.class 5 girl yes black 17
## 193 10511 602 439 small.class 6 girl yes black 19
## 194 10532 547 490 small.class 3 girl yes black 44
## 195 10547 528 461 small.class 14 girl yes black 32
## 196 10575 429 411 small.class 9 girl yes black 53
## 197 10596 449 400 small.class 3 girl yes black 28
## 198 10700 520 428 small.class 13 girl yes black 24
## 199 10707 459 440 small.class 1 girl yes black 33
## 200 10721 576 518 small.class 3 girl yes black 44
## 201 10768 473 447 small.class 12 girl yes black 25
## 202 10889 463 434 small.class 2 girl yes black 28
## 203 10924 489 411 small.class 6 girl yes black 19
## 204 10926 559 485 small.class 2 girl yes black 30
## 205 11116 444 407 small.class 3 girl yes black 45
## 206 11257 473 436 small.class 3 girl yes black 45
## 207 11281 484 421 small.class 11 girl yes black 27
## 208 11283 520 431 small.class 1 girl yes black 27
## 209 11343 423 397 small.class 1 girl yes black 26
## 210 11374 513 447 small.class 8 girl yes black 68
## 211 11375 559 465 small.class 2 girl yes black 19
## 212 11525 449 416 small.class 21 girl yes black 20
## 213 11565 423 390 small.class 1 girl yes black 16Arrange in descending order
arrange(cp, desc(count))## count math.s read.s cls.type year.exp sex f.lunch race
## 1 11598 449 421 regular.with.aide 2 boy no black
## 2 11597 478 431 regular 24 girl yes black
## 3 11595 513 437 regular 0 girl yes white
## 4 11594 559 483 small.class 8 boy no white
## 5 11593 468 422 small.class 6 boy no white
## 6 11591 484 448 small.class 8 boy no white
## 7 11586 528 605 small.class 1 girl no white
## 8 11585 399 390 small.class 3 boy yes black
## 9 11583 478 408 small.class 11 girl yes white
## 10 11581 528 460 regular.with.aide 12 boy no white
## 11 11579 434 395 small.class 7 boy yes white
## 12 11578 454 413 regular.with.aide 12 boy no black
## 13 11577 444 408 small.class 5 boy yes white
## 14 11572 473 425 small.class 8 girl no white
## 15 11571 412 408 small.class 13 boy yes black
## 16 11565 423 390 small.class 1 girl yes black
## 17 11562 468 442 regular 13 girl no white
## 18 11561 423 413 regular.with.aide 14 girl yes white
## 19 11560 559 490 regular 13 girl no white
## 20 11558 423 395 small.class 2 boy yes black
## 21 11549 547 434 regular 20 boy yes black
## 22 11548 506 419 regular 8 girl no white
## 23 11544 478 451 small.class 15 boy no white
## 24 11541 506 437 regular.with.aide 16 girl no white
## 25 11533 449 418 regular.with.aide 22 boy yes black
## 26 11531 520 450 regular.with.aide 9 boy yes white
## 27 11525 449 416 small.class 21 girl yes black
## 28 11523 454 421 regular.with.aide 21 girl yes white
## 29 11518 434 407 regular 1 girl no white
## 30 11517 478 424 regular 22 girl no white
## 31 11515 506 428 small.class 8 girl no white
## 32 11511 463 440 regular 15 boy no white
## 33 11510 449 419 regular.with.aide 11 boy yes black
## 34 11508 459 425 regular.with.aide 5 girl yes black
## 35 11505 434 405 regular.with.aide 0 boy yes black
## 36 11503 576 480 regular 0 girl no other
## 37 11502 547 463 regular.with.aide 10 girl yes black
## 38 11500 449 421 regular.with.aide 17 girl no white
## 39 11497 473 422 regular.with.aide 13 boy yes white
## 40 11496 576 500 small.class 14 girl no white
## 41 11495 463 472 regular.with.aide 11 girl yes white
## 42 11494 454 403 regular.with.aide 12 girl yes white
## 43 11493 463 433 regular.with.aide 11 boy yes black
## 44 11490 429 442 small.class 6 boy yes white
## 45 11488 478 425 regular 0 boy yes black
## 46 11487 439 407 regular.with.aide 2 girl yes black
## 47 11486 489 428 small.class 8 girl no white
## 48 11485 506 443 small.class 12 boy no white
## 49 11483 559 437 regular.with.aide 15 girl no white
## 50 11482 494 437 regular 17 girl no white
## 51 11480 439 419 small.class 5 girl no white
## 52 11479 513 405 small.class 2 boy yes white
## 53 11476 439 440 small.class 15 girl no white
## 54 11475 500 453 regular.with.aide 10 girl no white
## 55 11474 473 437 regular 6 boy yes black
## 56 11471 528 434 regular.with.aide 8 girl yes black
## 57 11469 444 413 regular 20 girl yes white
## 58 11466 429 405 regular.with.aide 17 girl yes white
## 59 11463 444 428 regular.with.aide 10 boy yes black
## 60 11462 459 443 regular.with.aide 14 girl no black
## 61 11460 473 430 small.class 19 girl yes white
## 62 11459 405 384 small.class 0 girl no white
## 63 11458 602 492 regular.with.aide 13 girl no white
## 64 11457 484 442 small.class 6 girl no white
## 65 11454 412 413 regular.with.aide 7 boy yes black
## 66 11449 365 391 regular 2 boy yes white
## 67 11447 468 456 regular.with.aide 8 girl no white
## 68 11445 484 445 regular 3 girl no white
## 69 11443 559 470 regular.with.aide 14 boy no white
## 70 11440 478 456 regular 13 girl no white
## 71 11439 478 434 regular 8 girl yes black
## 72 11438 468 416 small.class 1 boy yes white
## 73 11434 489 455 regular.with.aide 8 boy yes white
## 74 11433 484 433 regular.with.aide 14 boy no white
## 75 11432 418 398 regular.with.aide 2 girl yes white
## 76 11431 473 418 regular 16 girl yes white
## 77 11427 439 434 regular.with.aide 8 boy no white
## 78 11423 399 397 regular 13 girl yes black
## 79 11421 520 437 regular.with.aide 18 girl no white
## 80 11419 528 447 regular.with.aide 17 boy no white
## 81 11418 459 407 regular 1 girl yes white
## 82 11414 473 451 regular.with.aide 21 boy yes white
## 83 11413 559 472 regular.with.aide 7 girl no white
## 84 11412 489 414 regular 10 girl no white
## 85 11411 500 425 regular 17 girl no white
## 86 11408 494 439 regular 19 girl yes white
## 87 11407 434 416 regular 12 boy yes black
## 88 11406 494 458 small.class 19 girl no white
## 89 11405 547 445 regular.with.aide 10 girl yes white
## 90 11404 536 413 regular.with.aide 5 boy no white
## 91 11403 576 468 regular.with.aide 3 boy no white
## 92 11402 459 416 regular.with.aide 7 boy no white
## 93 11399 513 500 small.class 21 girl no black
## 94 11398 423 414 small.class 8 girl no white
## 95 11397 559 450 regular.with.aide 2 boy no white
## 96 11394 528 443 regular 1 boy no white
## 97 11389 528 439 regular 13 girl no white
## 98 11388 559 510 regular 10 boy no white
## 99 11387 444 390 regular.with.aide 17 boy yes white
## 100 11386 520 483 regular 19 girl no white
## 101 11384 473 447 regular.with.aide 5 boy no white
## 102 11383 454 419 regular 1 girl yes black
## 103 11382 429 397 regular.with.aide 12 girl yes white
## 104 11376 528 465 small.class 17 girl yes white
## 105 11375 559 465 small.class 2 girl yes black
## 106 11374 513 447 small.class 8 girl yes black
## 107 11369 468 434 regular 13 girl yes white
## 108 11368 547 487 regular.with.aide 7 girl no white
## 109 11364 439 405 regular 5 boy yes white
## 110 11363 536 440 regular 0 boy no white
## 111 11359 576 490 small.class 16 girl no white
## 112 11358 429 422 regular.with.aide 17 boy yes black
## 113 11355 547 487 regular 13 girl no white
## 114 11354 405 380 regular 12 girl yes black
## 115 11352 423 402 regular 12 boy yes black
## 116 11350 449 408 small.class 11 girl no white
## 117 11349 602 465 regular 13 girl no white
## 118 11346 494 448 regular 13 girl no white
## 119 11343 423 397 small.class 1 girl yes black
## 120 11342 536 474 small.class 6 boy yes white
## 121 11340 429 393 regular 1 boy yes black
## 122 11335 459 431 regular 10 boy yes white
## 123 11333 506 425 regular.with.aide 16 girl no white
## 124 11332 468 456 regular 3 girl yes black
## 125 11327 429 397 regular.with.aide 5 boy no white
## 126 11326 489 440 regular.with.aide 9 boy no white
## 127 11324 444 430 small.class 3 girl yes white
## 128 11323 434 403 small.class 1 boy yes black
## 129 11322 468 422 regular 13 girl no white
## 130 11320 626 467 small.class 18 boy no white
## 131 11317 494 472 regular 11 girl no white
## 132 11316 576 545 small.class 12 girl no white
## 133 11313 520 447 regular 9 girl yes black
## 134 11312 339 390 regular.with.aide 11 boy yes black
## 135 11310 392 400 regular 10 boy yes black
## 136 11309 454 402 regular 2 boy yes black
## 137 11307 478 443 regular 13 girl yes white
## 138 11305 454 407 regular 20 boy yes white
## 139 11303 484 439 regular.with.aide 5 girl yes black
## 140 11298 513 472 regular.with.aide 11 boy no white
## 141 11297 468 411 regular 3 boy no white
## 142 11296 429 430 small.class 3 girl no white
## 143 11295 463 434 regular.with.aide 10 boy yes black
## 144 11293 484 440 small.class 11 girl no white
## 145 11291 473 410 small.class 11 boy no white
## 146 11290 547 478 regular.with.aide 12 girl no white
## 147 11289 439 388 regular 0 girl no black
## 148 11286 459 408 regular.with.aide 8 girl no white
## 149 11284 576 510 small.class 14 girl no white
## 150 11283 520 431 small.class 1 girl yes black
## 151 11282 536 458 regular 10 boy no white
## 152 11281 484 421 small.class 11 girl yes black
## 153 11279 423 393 regular 12 girl yes black
## 154 11278 528 439 regular.with.aide 8 girl no white
## 155 11277 468 437 small.class 15 boy yes white
## 156 11276 423 408 regular 12 girl yes other
## 157 11275 559 492 small.class 5 girl no white
## 158 11272 444 436 regular.with.aide 3 boy no white
## 159 11271 473 442 regular 14 girl no white
## 160 11269 536 425 regular 5 girl no white
## 161 11268 500 440 regular 10 girl yes black
## 162 11265 418 390 regular 1 boy yes black
## 163 11263 494 413 small.class 6 boy no white
## 164 11262 489 467 small.class 7 boy no white
## 165 11261 494 460 regular.with.aide 11 girl no white
## 166 11258 626 461 regular.with.aide 24 girl yes black
## 167 11257 473 436 small.class 3 girl yes black
## 168 11255 576 518 small.class 14 girl no white
## 169 11254 473 433 small.class 8 boy no white
## 170 11253 494 460 regular 12 boy yes white
## 171 11252 547 470 regular.with.aide 14 boy yes white
## 172 11250 444 424 regular.with.aide 22 girl yes black
## 173 11246 468 461 regular 9 girl no black
## 174 11244 418 416 regular.with.aide 10 boy no black
## 175 11243 626 461 regular 12 girl no white
## 176 11239 468 428 regular 15 girl no white
## 177 11237 463 422 small.class 15 boy yes white
## 178 11236 473 402 regular 10 boy no black
## 179 11230 473 411 regular 20 boy yes white
## 180 11226 576 442 regular.with.aide 11 girl no white
## 181 11225 559 424 small.class 5 boy no white
## 182 11224 494 437 regular.with.aide 11 girl yes white
## 183 11223 454 416 small.class 4 girl yes white
## 184 11220 506 434 small.class 14 boy no white
## 185 11217 444 410 regular 8 girl no white
## 186 11213 478 437 regular 4 boy no white
## 187 11211 463 425 regular.with.aide 6 boy no white
## 188 11205 418 393 regular 6 girl yes black
## 189 11203 418 395 small.class 9 boy yes white
## 190 11199 463 414 small.class 13 girl no white
## 191 11196 536 490 small.class 7 boy no white
## 192 11194 528 411 regular 24 boy yes black
## 193 11191 463 440 small.class 15 girl yes white
## 194 11186 423 397 regular.with.aide 11 boy yes black
## 195 11183 536 522 regular.with.aide 0 girl no white
## 196 11182 405 403 small.class 1 boy yes white
## 197 11181 576 440 regular.with.aide 20 girl yes black
## 198 11180 478 433 regular 10 girl yes black
## 199 11177 429 384 regular 8 boy no white
## 200 11174 513 436 regular.with.aide 11 girl no white
## 201 11169 547 487 small.class 6 boy no white
## 202 11168 478 450 regular.with.aide 15 girl yes white
## 203 11165 423 393 regular.with.aide 12 boy yes white
## 204 11164 468 456 regular.with.aide 11 boy yes white
## 205 11163 520 487 regular 12 boy yes black
## 206 11159 468 437 regular.with.aide 10 girl yes white
## 207 11157 468 413 regular 11 girl no white
## 208 11152 559 483 small.class 21 girl no white
## 209 11147 478 388 regular.with.aide 11 girl no white
## 210 11144 520 443 small.class 18 girl no white
## 211 11143 506 478 small.class 8 girl no white
## 212 11141 602 545 small.class 15 girl no white
## 213 11140 412 403 regular.with.aide 3 girl yes white
## 214 11138 559 545 regular.with.aide 13 boy no white
## 215 11137 473 434 small.class 8 boy no white
## 216 11131 434 400 regular.with.aide 6 boy yes black
## 217 11128 399 397 regular 5 girl no black
## 218 11126 463 411 regular.with.aide 3 boy yes white
## 219 11117 513 427 regular 6 girl no white
## 220 11116 444 407 small.class 3 girl yes black
## 221 11115 559 425 regular 10 girl yes black
## 222 11104 444 425 regular.with.aide 5 boy yes black
## 223 11101 454 425 regular 8 girl yes white
## 224 11099 520 483 small.class 1 girl no white
## 225 11096 459 427 regular 13 boy yes white
## 226 11095 500 451 regular.with.aide 5 boy no white
## 227 11094 513 434 regular.with.aide 10 boy no white
## 228 11090 439 390 regular.with.aide 0 girl yes black
## 229 11088 494 442 regular.with.aide 9 boy no white
## 230 11085 484 436 small.class 10 girl no black
## 231 11082 459 490 regular.with.aide 13 boy no white
## 232 11080 434 386 regular 3 girl yes black
## 233 11078 463 427 small.class 13 girl no black
## 234 11077 484 447 regular.with.aide 13 girl no white
## 235 11074 559 442 regular.with.aide 8 girl yes black
## 236 11073 484 437 small.class 8 boy yes white
## 237 11071 449 424 regular.with.aide 1 boy yes black
## 238 11070 434 428 regular.with.aide 5 girl no white
## 239 11069 423 397 regular 18 boy yes black
## 240 11068 418 382 regular.with.aide 12 boy yes white
## 241 11064 459 439 small.class 8 boy no white
## 242 11063 434 407 regular 13 girl yes white
## 243 11062 484 458 regular.with.aide 9 boy no white
## 244 11061 484 411 regular 0 boy no white
## 245 11060 484 416 regular.with.aide 8 boy yes white
## 246 11059 454 391 regular 9 girl no white
## 247 11058 434 405 regular.with.aide 0 girl yes black
## 248 11057 449 413 small.class 6 boy no white
## 249 11055 468 413 regular.with.aide 5 boy yes white
## 250 11054 478 411 regular.with.aide 9 girl yes black
## 251 11052 468 427 regular.with.aide 13 girl yes white
## 252 11051 478 416 regular 2 boy no white
## 253 11048 536 461 regular 6 boy no white
## 254 11046 429 407 small.class 6 boy yes white
## 255 11044 506 422 regular.with.aide 12 boy no white
## 256 11043 513 463 small.class 4 boy no white
## 257 11040 412 414 regular 6 girl no white
## 258 11038 473 413 regular.with.aide 2 girl no white
## 259 11037 439 408 regular 9 girl yes black
## 260 11036 478 424 regular.with.aide 16 boy yes black
## 261 11034 434 414 small.class 1 boy no white
## 262 11030 489 395 regular 0 boy yes black
## 263 11027 547 500 small.class 9 boy yes white
## 264 11026 547 495 small.class 16 girl no white
## 265 11025 454 410 regular.with.aide 12 girl yes black
## 266 11019 412 390 regular 6 boy yes black
## 267 11017 459 421 regular 4 boy no white
## 268 11016 602 439 small.class 12 girl no white
## 269 11015 459 419 regular 13 girl no white
## 270 11009 547 460 regular 12 boy yes black
## 271 11008 484 447 regular.with.aide 12 girl no white
## 272 11006 547 447 small.class 8 girl no white
## 273 11003 506 470 regular 12 girl yes white
## 274 11000 489 418 small.class 1 boy yes white
## 275 10997 444 413 regular 3 boy yes black
## 276 10994 478 440 small.class 5 boy yes white
## 277 10993 399 402 regular 13 boy no white
## 278 10992 489 492 regular 11 boy no white
## 279 10990 423 400 small.class 3 boy no white
## 280 10982 520 434 regular.with.aide 11 boy yes white
## 281 10980 444 408 regular 0 boy no white
## 282 10979 489 463 regular.with.aide 27 boy no white
## 283 10978 500 480 regular 3 boy no white
## 284 10977 536 472 regular.with.aide 7 girl yes white
## 285 10974 528 453 small.class 3 boy yes black
## 286 10968 439 428 regular.with.aide 22 boy yes black
## 287 10967 559 424 small.class 9 boy yes black
## 288 10960 520 450 regular.with.aide 11 girl no white
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## 5745 69
## 5746 19
## 5747 20
## 5748 63Select math and read score
select(cp, math.s, read.s)## math.s read.s
## 1 473 447
## 2 536 450
## 3 463 439
## 4 559 448
## 5 489 447
## 6 454 431
## 7 423 395
## 8 500 451
## 9 439 478
## 10 528 455
## 11 473 430
## 12 468 437
## 13 559 474
## 14 494 424
## 15 528 490
## 16 484 439
## 17 459 424
## 18 528 437
## 19 478 422
## 20 559 424
## 21 454 431
## 22 473 451
## 23 602 456
## 24 459 421
## 25 576 463
## 26 520 425
## 27 559 522
## 28 459 413
## 29 513 416
## 30 423 419
## 31 494 431
## 32 439 418
## 33 434 422
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## 5703 439 407
## 5704 478 425
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## 5709 576 500
## 5710 473 422
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## 5713 576 480
## 5714 434 405
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## 5720 434 407
## 5721 454 421
## 5722 449 416
## 5723 520 450
## 5724 449 418
## 5725 506 437
## 5726 478 451
## 5727 506 419
## 5728 547 434
## 5729 423 395
## 5730 559 490
## 5731 423 413
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## 5733 423 390
## 5734 412 408
## 5735 473 425
## 5736 444 408
## 5737 454 413
## 5738 434 395
## 5739 528 460
## 5740 478 408
## 5741 399 390
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## 5744 468 422
## 5745 559 483
## 5746 513 437
## 5747 478 431
## 5748 449 421 ms <- cp %>%
select(math.s, read.s) %>%
summarise(m = mean(math.s),
r = mean(read.s))
ms <- as.numeric(ms)Using helper functions of select starts_with, ends_with, matches, contains
select(cp, starts_with("regular"))## data frame with 0 columns and 5748 rows#### Add columns with mutate
mutate(cp,
mp = math.s/ms[1],
rp = read.s/ms[2])## count math.s read.s cls.type year.exp sex f.lunch race
## 1 2 473 447 small.class 7 girl no white
## 2 3 536 450 small.class 21 girl no black
## 3 5 463 439 regular.with.aide 0 boy yes black
## 4 11 559 448 regular 16 boy no white
## 5 12 489 447 small.class 5 boy yes white
## 6 13 454 431 regular 8 boy yes white
## 7 14 423 395 regular.with.aide 17 girl yes black
## 8 21 500 451 regular 3 girl no white
## 9 23 439 478 small.class 11 girl no black
## 10 25 528 455 small.class 10 girl no white
## 11 28 473 430 regular 13 boy no white
## 12 29 468 437 regular.with.aide 6 boy no white
## 13 32 559 474 small.class 0 boy no white
## 14 33 494 424 small.class 6 boy no white
## 15 34 528 490 regular.with.aide 18 boy no white
## 16 35 484 439 regular 13 boy no white
## 17 36 459 424 regular.with.aide 12 girl yes white
## 18 37 528 437 regular 1 girl yes black
## 19 39 478 422 small.class 8 girl no white
## 20 40 559 424 regular 13 boy yes white
## 21 44 454 431 regular 13 boy no white
## 22 47 473 451 regular.with.aide 3 boy no white
## 23 48 602 456 small.class 14 boy yes white
## 24 51 459 421 regular.with.aide 11 girl yes black
## 25 52 576 463 regular.with.aide 10 boy yes black
## 26 53 520 425 regular.with.aide 8 girl no black
## 27 54 559 522 regular 8 girl no white
## 28 55 459 413 regular.with.aide 5 girl no white
## 29 56 513 416 regular 13 boy no white
## 30 60 423 419 regular 0 girl yes black
## 31 61 494 431 regular.with.aide 3 girl no white
## 32 65 439 418 small.class 8 boy no white
## 33 66 434 422 regular 15 girl yes black
## 34 68 434 414 small.class 8 girl yes black
## 35 71 454 433 regular.with.aide 11 boy yes black
## 36 76 484 450 regular 10 girl no white
## 37 77 559 458 small.class 4 girl yes white
## 38 78 459 445 small.class 7 girl no white
## 39 80 506 439 small.class 17 boy no white
## 40 81 576 476 small.class 12 boy no white
## 41 84 484 467 regular 4 girl no white
## 42 87 434 416 regular.with.aide 10 girl yes black
## 43 88 528 480 small.class 0 boy no white
## 44 91 478 437 regular.with.aide 16 girl no white
## 45 93 602 465 small.class 18 boy no white
## 46 97 439 407 small.class 4 girl yes white
## 47 98 547 487 regular 12 girl no black
## 48 99 489 425 regular.with.aide 8 boy no white
## 49 100 500 447 small.class 14 girl no white
## 50 102 468 430 small.class 13 girl no white
## 51 108 547 480 small.class 14 girl no white
## 52 113 513 440 regular 5 girl no white
## 53 117 405 410 regular.with.aide 13 boy no black
## 54 119 506 413 small.class 5 girl no white
## 55 120 513 422 regular 1 girl yes black
## 56 121 559 442 small.class 5 girl no black
## 57 125 547 461 regular.with.aide 10 girl yes black
## 58 126 454 421 regular.with.aide 22 boy yes black
## 59 133 494 410 small.class 2 girl yes black
## 60 137 626 465 small.class 2 girl no black
## 61 143 500 436 regular 11 boy no white
## 62 146 449 398 regular.with.aide 5 boy yes white
## 63 147 528 442 regular.with.aide 8 girl no white
## 64 149 500 461 regular.with.aide 11 boy no white
## 65 151 506 436 regular 13 boy yes white
## 66 155 473 428 small.class 5 boy no white
## 67 158 444 411 regular 0 boy yes black
## 68 159 459 436 regular.with.aide 5 boy no white
## 69 163 463 436 small.class 4 girl no white
## 70 164 559 428 regular.with.aide 12 boy no white
## 71 165 536 472 regular 5 boy no white
## 72 166 473 434 regular.with.aide 11 boy yes black
## 73 167 500 443 small.class 8 boy no white
## 74 168 520 424 small.class 2 boy yes white
## 75 169 473 418 regular.with.aide 22 boy yes black
## 76 170 500 428 regular 11 boy yes black
## 77 172 468 440 small.class 14 boy yes black
## 78 173 513 436 regular.with.aide 7 boy no white
## 79 174 506 433 small.class 13 boy no black
## 80 175 473 448 regular.with.aide 8 boy no white
## 81 176 506 474 small.class 3 boy yes black
## 82 178 484 414 regular 15 boy yes black
## 83 183 468 411 small.class 20 girl no white
## 84 184 468 422 small.class 11 girl no black
## 85 185 412 395 small.class 20 girl no white
## 86 188 459 407 regular 6 girl yes black
## 87 190 506 472 regular 11 girl no white
## 88 191 463 402 small.class 12 girl yes white
## 89 192 500 428 regular 6 girl no white
## 90 193 463 413 regular 12 boy no white
## 91 197 468 443 regular 18 boy yes white
## 92 198 434 418 regular.with.aide 14 boy yes white
## 93 199 418 403 small.class 2 boy yes white
## 94 200 484 442 small.class 11 girl yes white
## 95 201 528 443 small.class 1 girl yes black
## 96 204 494 410 regular.with.aide 17 boy no black
## 97 206 439 403 regular.with.aide 0 girl yes black
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## 5641 11368 547 487 regular.with.aide 7 girl no white
## 5642 11369 468 434 regular 13 girl yes white
## 5643 11374 513 447 small.class 8 girl yes black
## 5644 11375 559 465 small.class 2 girl yes black
## 5645 11376 528 465 small.class 17 girl yes white
## 5646 11382 429 397 regular.with.aide 12 girl yes white
## 5647 11383 454 419 regular 1 girl yes black
## 5648 11384 473 447 regular.with.aide 5 boy no white
## 5649 11386 520 483 regular 19 girl no white
## 5650 11387 444 390 regular.with.aide 17 boy yes white
## 5651 11388 559 510 regular 10 boy no white
## 5652 11389 528 439 regular 13 girl no white
## 5653 11394 528 443 regular 1 boy no white
## 5654 11397 559 450 regular.with.aide 2 boy no white
## 5655 11398 423 414 small.class 8 girl no white
## 5656 11399 513 500 small.class 21 girl no black
## 5657 11402 459 416 regular.with.aide 7 boy no white
## 5658 11403 576 468 regular.with.aide 3 boy no white
## 5659 11404 536 413 regular.with.aide 5 boy no white
## 5660 11405 547 445 regular.with.aide 10 girl yes white
## 5661 11406 494 458 small.class 19 girl no white
## 5662 11407 434 416 regular 12 boy yes black
## 5663 11408 494 439 regular 19 girl yes white
## 5664 11411 500 425 regular 17 girl no white
## 5665 11412 489 414 regular 10 girl no white
## 5666 11413 559 472 regular.with.aide 7 girl no white
## 5667 11414 473 451 regular.with.aide 21 boy yes white
## 5668 11418 459 407 regular 1 girl yes white
## 5669 11419 528 447 regular.with.aide 17 boy no white
## 5670 11421 520 437 regular.with.aide 18 girl no white
## 5671 11423 399 397 regular 13 girl yes black
## 5672 11427 439 434 regular.with.aide 8 boy no white
## 5673 11431 473 418 regular 16 girl yes white
## 5674 11432 418 398 regular.with.aide 2 girl yes white
## 5675 11433 484 433 regular.with.aide 14 boy no white
## 5676 11434 489 455 regular.with.aide 8 boy yes white
## 5677 11438 468 416 small.class 1 boy yes white
## 5678 11439 478 434 regular 8 girl yes black
## 5679 11440 478 456 regular 13 girl no white
## 5680 11443 559 470 regular.with.aide 14 boy no white
## 5681 11445 484 445 regular 3 girl no white
## 5682 11447 468 456 regular.with.aide 8 girl no white
## 5683 11449 365 391 regular 2 boy yes white
## 5684 11454 412 413 regular.with.aide 7 boy yes black
## 5685 11457 484 442 small.class 6 girl no white
## 5686 11458 602 492 regular.with.aide 13 girl no white
## 5687 11459 405 384 small.class 0 girl no white
## 5688 11460 473 430 small.class 19 girl yes white
## 5689 11462 459 443 regular.with.aide 14 girl no black
## 5690 11463 444 428 regular.with.aide 10 boy yes black
## 5691 11466 429 405 regular.with.aide 17 girl yes white
## 5692 11469 444 413 regular 20 girl yes white
## 5693 11471 528 434 regular.with.aide 8 girl yes black
## 5694 11474 473 437 regular 6 boy yes black
## 5695 11475 500 453 regular.with.aide 10 girl no white
## 5696 11476 439 440 small.class 15 girl no white
## 5697 11479 513 405 small.class 2 boy yes white
## 5698 11480 439 419 small.class 5 girl no white
## 5699 11482 494 437 regular 17 girl no white
## 5700 11483 559 437 regular.with.aide 15 girl no white
## 5701 11485 506 443 small.class 12 boy no white
## 5702 11486 489 428 small.class 8 girl no white
## 5703 11487 439 407 regular.with.aide 2 girl yes black
## 5704 11488 478 425 regular 0 boy yes black
## 5705 11490 429 442 small.class 6 boy yes white
## 5706 11493 463 433 regular.with.aide 11 boy yes black
## 5707 11494 454 403 regular.with.aide 12 girl yes white
## 5708 11495 463 472 regular.with.aide 11 girl yes white
## 5709 11496 576 500 small.class 14 girl no white
## 5710 11497 473 422 regular.with.aide 13 boy yes white
## 5711 11500 449 421 regular.with.aide 17 girl no white
## 5712 11502 547 463 regular.with.aide 10 girl yes black
## 5713 11503 576 480 regular 0 girl no other
## 5714 11505 434 405 regular.with.aide 0 boy yes black
## 5715 11508 459 425 regular.with.aide 5 girl yes black
## 5716 11510 449 419 regular.with.aide 11 boy yes black
## 5717 11511 463 440 regular 15 boy no white
## 5718 11515 506 428 small.class 8 girl no white
## 5719 11517 478 424 regular 22 girl no white
## 5720 11518 434 407 regular 1 girl no white
## 5721 11523 454 421 regular.with.aide 21 girl yes white
## 5722 11525 449 416 small.class 21 girl yes black
## 5723 11531 520 450 regular.with.aide 9 boy yes white
## 5724 11533 449 418 regular.with.aide 22 boy yes black
## 5725 11541 506 437 regular.with.aide 16 girl no white
## 5726 11544 478 451 small.class 15 boy no white
## 5727 11548 506 419 regular 8 girl no white
## 5728 11549 547 434 regular 20 boy yes black
## 5729 11558 423 395 small.class 2 boy yes black
## 5730 11560 559 490 regular 13 girl no white
## 5731 11561 423 413 regular.with.aide 14 girl yes white
## 5732 11562 468 442 regular 13 girl no white
## 5733 11565 423 390 small.class 1 girl yes black
## 5734 11571 412 408 small.class 13 boy yes black
## 5735 11572 473 425 small.class 8 girl no white
## 5736 11577 444 408 small.class 5 boy yes white
## 5737 11578 454 413 regular.with.aide 12 boy no black
## 5738 11579 434 395 small.class 7 boy yes white
## 5739 11581 528 460 regular.with.aide 12 boy no white
## 5740 11583 478 408 small.class 11 girl yes white
## 5741 11585 399 390 small.class 3 boy yes black
## 5742 11586 528 605 small.class 1 girl no white
## 5743 11591 484 448 small.class 8 boy no white
## 5744 11593 468 422 small.class 6 boy no white
## 5745 11594 559 483 small.class 8 boy no white
## 5746 11595 513 437 regular 0 girl yes white
## 5747 11597 478 431 regular 24 girl yes black
## 5748 11598 449 421 regular.with.aide 2 boy no black
## sch.ivar mp rp
## 1 63 0.9739563 1.0234867
## 2 20 1.1036799 1.0303558
## 3 19 0.9533653 1.0051693
## 4 69 1.1510393 1.0257764
## 5 79 1.0069020 1.0234867
## 6 5 0.9348334 0.9868519
## 7 16 0.8710011 0.9044234
## 8 56 1.0295522 1.0326455
## 9 11 0.9039468 1.0944668
## 10 66 1.0872071 1.0418042
## 11 38 0.9739563 0.9845622
## 12 69 0.9636608 1.0005899
## 13 43 1.1510393 1.0853081
## 14 71 1.0171975 0.9708241
## 15 52 1.0872071 1.1219430
## 16 54 0.9966065 1.0051693
## 17 12 0.9451289 0.9708241
## 18 21 1.0872071 1.0005899
## 19 76 0.9842519 0.9662448
## 20 79 1.1510393 0.9708241
## 21 8 0.9348334 0.9868519
## 22 66 0.9739563 1.0326455
## 23 59 1.2395808 1.0440939
## 24 31 0.9451289 0.9639551
## 25 27 1.1860441 1.0601216
## 26 17 1.0707342 0.9731138
## 27 9 1.1510393 1.1952127
## 28 39 0.9451289 0.9456376
## 29 55 1.0563205 0.9525067
## 30 27 0.8710011 0.9593757
## 31 58 1.0171975 0.9868519
## 32 49 0.9039468 0.9570860
## 33 7 0.8936513 0.9662448
## 34 5 0.8936513 0.9479273
## 35 37 0.9348334 0.9914312
## 36 70 0.9966065 1.0303558
## 37 40 1.1510393 1.0486732
## 38 9 0.9451289 1.0189074
## 39 48 1.0419068 1.0051693
## 40 10 1.1860441 1.0898874
## 41 80 0.9966065 1.0692803
## 42 28 0.8936513 0.9525067
## 43 43 1.0872071 1.0990462
## 44 41 0.9842519 1.0005899
## 45 41 1.2395808 1.0647010
## 46 40 0.9039468 0.9318996
## 47 27 1.1263301 1.1150739
## 48 61 1.0069020 0.9731138
## 49 21 1.0295522 1.0234867
## 50 8 0.9636608 0.9845622
## 51 21 1.1263301 1.0990462
## 52 47 1.0563205 1.0074590
## 53 11 0.8339372 0.9387686
## 54 35 1.0419068 0.9456376
## 55 21 1.0563205 0.9662448
## 56 24 1.1510393 1.0120383
## 57 27 1.1263301 1.0555423
## 58 33 0.9348334 0.9639551
## 59 19 1.0171975 0.9387686
## 60 30 1.2889993 1.0647010
## 61 49 1.0295522 0.9983003
## 62 39 0.9245378 0.9112924
## 63 61 1.0872071 1.0120383
## 64 9 1.0295522 1.0555423
## 65 50 1.0419068 0.9983003
## 66 17 0.9739563 0.9799828
## 67 31 0.9142423 0.9410583
## 68 39 0.9451289 0.9983003
## 69 46 0.9533653 0.9983003
## 70 12 1.1510393 0.9799828
## 71 1 1.1036799 1.0807287
## 72 45 0.9739563 0.9937209
## 73 78 1.0295522 1.0143280
## 74 39 1.0707342 0.9708241
## 75 33 0.9739563 0.9570860
## 76 22 1.0295522 0.9799828
## 77 32 0.9636608 1.0074590
## 78 4 1.0563205 0.9983003
## 79 14 1.0419068 0.9914312
## 80 17 0.9739563 1.0257764
## 81 44 1.0419068 1.0853081
## 82 7 0.9966065 0.9479273
## 83 71 0.9636608 0.9410583
## 84 23 0.9636608 0.9662448
## 85 71 0.8483510 0.9044234
## 86 24 0.9451289 0.9318996
## 87 64 1.0419068 1.0807287
## 88 2 0.9533653 0.9204512
## 89 71 1.0295522 0.9799828
## 90 8 0.9533653 0.9456376
## 91 25 0.9636608 1.0143280
## 92 9 0.8936513 0.9570860
## 93 73 0.8607056 0.9227408
## 94 61 0.9966065 1.0120383
## 95 16 1.0872071 1.0143280
## 96 2 1.0171975 0.9387686
## 97 19 0.9039468 0.9227408
## 98 48 1.0069020 0.9914312
## 99 67 1.0872071 0.9662448
## 100 70 1.1036799 0.9937209
## 101 24 0.9636608 0.9914312
## 102 48 1.1510393 1.0074590
## 103 64 1.1510393 1.0555423
## 104 43 0.9451289 0.9456376
## 105 13 1.1510393 1.0189074
## 106 42 1.1036799 1.1608675
## 107 66 1.1860441 1.1219430
## 108 13 1.1036799 1.0326455
## 109 1 1.1036799 1.0853081
## 110 33 0.8833558 0.9479273
## 111 7 0.8710011 0.9158718
## 112 69 1.0069020 1.0715700
## 113 5 0.8215826 0.8838163
## 114 19 0.9842519 0.9708241
## 115 57 0.9739563 0.9845622
## 116 7 1.0707342 1.0372248
## 117 30 1.0872071 1.0440939
## 118 65 1.1860441 1.0326455
## 119 57 0.9966065 1.0074590
## 120 3 0.9451289 1.0189074
## 121 36 0.9636608 1.0189074
## 122 3 0.9636608 0.9204512
## 123 79 0.9966065 0.9479273
## 124 43 0.9842519 0.9639551
## 125 19 0.9245378 0.9341892
## 126 19 0.9348334 0.8998440
## 127 19 0.8833558 0.9112924
## 128 60 1.0563205 1.0303558
## 129 59 0.9636608 1.0189074
## 130 51 1.0295522 0.9708241
## 131 68 1.0295522 1.0692803
## 132 8 0.9451289 0.9158718
## 133 12 1.0563205 0.9937209
## 134 39 0.8607056 0.8929750
## 135 76 0.9739563 0.9525067
## 136 3 0.9245378 0.9731138
## 137 27 0.9533653 1.0761494
## 138 11 0.9451289 1.0807287
## 139 3 1.0872071 0.9799828
## 140 27 1.0069020 1.0761494
## 141 72 1.1510393 1.0051693
## 142 34 1.0171975 0.9845622
## 143 3 1.0419068 1.0692803
## 144 72 1.1036799 1.0761494
## 145 25 1.0171975 0.9937209
## 146 24 0.9966065 0.9937209
## 147 45 0.8483510 0.9090028
## 148 50 1.1510393 1.0189074
## 149 58 1.0419068 0.9639551
## 150 29 1.0069020 0.9341892
## 151 49 1.1263301 1.2936689
## 152 62 1.0295522 0.9799828
## 153 20 0.9739563 0.8929750
## 154 66 0.8936513 0.9273202
## 155 42 1.0069020 1.0234867
## 156 78 0.9142423 0.9318996
## 157 33 0.8607056 0.9479273
## 158 76 1.0069020 0.9937209
## 159 22 1.1860441 1.0440939
## 160 27 0.9533653 0.9570860
## 161 42 0.9739563 0.9914312
## 162 27 1.0069020 1.0647010
## 163 20 0.9451289 0.9937209
## 164 59 1.0707342 0.9776932
## 165 22 0.9966065 1.0005899
## 166 63 1.0563205 1.1517088
## 167 28 0.9636608 1.0120383
## 168 21 0.9842519 0.9479273
## 169 54 0.8607056 0.9639551
## 170 31 1.0563205 0.9639551
## 171 56 1.0419068 0.9868519
## 172 31 1.1860441 1.0303558
## 173 10 0.9451289 0.9731138
## 174 80 1.0707342 0.9799828
## 175 3 1.1860441 1.0440939
## 176 34 1.1510393 1.3852561
## 177 28 0.8483510 0.9525067
## 178 75 1.0069020 0.9044234
## 179 27 1.0872071 1.0692803
## 180 53 0.9142423 0.8929750
## 181 17 0.9348334 0.9456376
## 182 20 1.0295522 1.0074590
## 183 57 0.9142423 0.9387686
## 184 65 0.9842519 1.0189074
## 185 58 1.1036799 1.0372248
## 186 44 1.0563205 1.1059152
## 187 17 0.9842519 0.9318996
## 188 26 0.9636608 0.9410583
## 189 57 0.9533653 0.9090028
## 190 43 1.1263301 1.0418042
## 191 55 0.9966065 0.9456376
## 192 53 0.9636608 0.9318996
## 193 5 0.9636608 0.9204512
## 194 48 0.9245378 0.9708241
## 195 65 1.0069020 1.0074590
## 196 63 0.9842519 0.9639551
## 197 42 1.1510393 1.2684824
## 198 24 0.9966065 1.0051693
## 199 32 0.9245378 0.9410583
## 200 26 0.9348334 0.9731138
## 201 54 0.9842519 0.9776932
## 202 1 0.9348334 1.0051693
## 203 7 0.9966065 1.0486732
## 204 49 0.9966065 0.9845622
## 205 15 0.9348334 0.9341892
## 206 37 0.8833558 0.9318996
## 207 67 1.0563205 0.9914312
## 208 7 0.9739563 0.9983003
## 209 56 0.8710011 0.9570860
## 210 26 0.9533653 1.0143280
## 211 44 0.9842519 0.9227408
## 212 55 0.9451289 0.9593757
## 213 72 0.9451289 0.9341892
## 214 53 0.9842519 0.9914312
## 215 66 0.8710011 0.9410583
## 216 63 1.1510393 1.1517088
## 217 11 0.9245378 1.0601216
## 218 42 0.9533653 0.8883957
## 219 34 0.9245378 0.9479273
## 220 75 0.9451289 0.8929750
## 221 2 0.9348334 0.9456376
## 222 36 1.0171975 1.0761494
## 223 16 0.8936513 0.9273202
## 224 23 1.1263301 1.0120383
## 225 5 0.8833558 0.8998440
## 226 52 1.0171975 0.9570860
## 227 62 1.0295522 1.0143280
## 228 14 0.9636608 0.9799828
## 229 36 0.9142423 0.9387686
## 230 63 1.0295522 1.0005899
## 231 27 1.0419068 1.0555423
## 232 21 1.0872071 1.0807287
## 233 22 1.0419068 0.9937209
## 234 70 0.9039468 0.9776932
## 235 72 1.1510393 1.0372248
## 236 20 0.9842519 0.9570860
## 237 39 1.0171975 1.0189074
## 238 51 0.9966065 1.0601216
## 239 54 0.9966065 1.0005899
## 240 39 0.9636608 0.9410583
## 241 12 1.0872071 0.9937209
## 242 60 0.9039468 0.9914312
## 243 20 1.0419068 1.0440939
## 244 18 0.9451289 0.9112924
## 245 39 1.1510393 1.0601216
## 246 25 1.1860441 1.0761494
## 247 64 0.9039468 0.9410583
## 248 27 1.0295522 0.9456376
## 249 57 1.0707342 1.0074590
## 250 32 0.9451289 0.9044234
## 251 59 1.0069020 0.9937209
## 252 54 1.0872071 1.1265223
## 253 21 1.1510393 1.0647010
## 254 72 0.9739563 1.0257764
## 255 51 0.8339372 0.9410583
## 256 65 1.2395808 1.1860540
## 257 62 0.9966065 0.9662448
## 258 7 1.1263301 1.0761494
## 259 21 0.9966065 1.0143280
## 260 34 0.9245378 0.9799828
## 261 53 0.9348334 0.9090028
## 262 57 0.9451289 0.8929750
## 263 19 0.9739563 0.9570860
## 264 68 0.9966065 1.0761494
## 265 66 1.0563205 0.9868519
## 266 50 1.1036799 1.3280141
## 267 58 0.9842519 1.0440939
## 268 23 1.0563205 0.9914312
## 269 80 0.9739563 0.9227408
## 270 43 0.9739563 0.9341892
## 271 74 0.9842519 0.9525067
## 272 22 0.9966065 1.0143280
## 273 17 0.9451289 0.9639551
## 274 69 1.1036799 1.0120383
## 275 49 1.0872071 0.9708241
## 276 18 0.9966065 0.9639551
## 277 1 1.0171975 1.0303558
## 278 16 0.8607056 0.9090028
## 279 27 0.9039468 1.0303558
## 280 20 0.9739563 0.9387686
## 281 74 1.2889993 1.1677366
## 282 45 0.8710011 0.9570860
## 283 33 0.9142423 0.9341892
## 284 34 1.0295522 1.0692803
## 285 67 0.9142423 0.9708241
## 286 4 0.9636608 0.9983003
## 287 63 1.1036799 1.0234867
## 288 44 1.0171975 1.0715700
## 289 55 0.9739563 0.9845622
## 290 63 0.9348334 0.8883957
## 291 25 0.9245378 0.9662448
## 292 3 0.9533653 0.9708241
## 293 34 1.0069020 1.0120383
## 294 52 0.8833558 0.9570860
## 295 58 0.9348334 1.0234867
## 296 41 1.1036799 1.1104946
## 297 26 0.9636608 0.9318996
## 298 17 1.0295522 0.9868519
## 299 49 0.9966065 1.0257764
## 300 20 1.1263301 1.0303558
## 301 80 1.1036799 1.0647010
## 302 56 0.9348334 0.9341892
## 303 66 0.9533653 0.9868519
## 304 33 0.9739563 0.9937209
## 305 61 1.0069020 0.9937209
## 306 63 1.0872071 1.0647010
## 307 30 1.0069020 0.9318996
## 308 6 0.9842519 0.9868519
## 309 18 0.9739563 0.8998440
## 310 33 0.6589134 0.8242846
## 311 76 0.9533653 0.9341892
## 312 22 1.2395808 1.1860540
## 313 76 1.0295522 0.9983003
## 314 17 0.9142423 0.9227408
## 315 68 1.0872071 1.1104946
## 316 68 1.1036799 1.0257764
## 317 49 1.1036799 1.0692803
## 318 26 0.9739563 0.9799828
## 319 18 1.0563205 1.0647010
## 320 78 1.0563205 1.1265223
## 321 9 0.8215826 0.9158718
## 322 18 0.8936513 0.9112924
## 323 49 1.0707342 1.0761494
## 324 47 1.0419068 0.9708241
## 325 11 1.2889993 1.3280141
## 326 8 0.9636608 0.9639551
## 327 22 1.1036799 1.0555423
## 328 51 0.9451289 0.9776932
## 329 36 0.9739563 1.0143280
## 330 31 1.1263301 1.1379707
## 331 76 1.0707342 0.9731138
## 332 35 0.8483510 0.9341892
## 333 54 1.0563205 1.0303558
## 334 73 1.0707342 1.0440939
## 335 13 1.0171975 1.0051693
## 336 58 1.0419068 1.0440939
## 337 22 1.1036799 0.9570860
## 338 34 0.9842519 0.9845622
## 339 57 0.9842519 0.9708241
## 340 61 1.0295522 0.9158718
## 341 55 0.9451289 0.9708241
## 342 76 0.9842519 0.9387686
## 343 16 0.9966065 0.9410583
## 344 76 0.9966065 0.9731138
## 345 72 1.1510393 1.1333914
## 346 7 1.0707342 1.0440939
## 347 43 1.0563205 1.0372248
## 348 52 1.0707342 1.0898874
## 349 44 1.0171975 1.0005899
## 350 20 0.9739563 0.9593757
## 351 15 0.9842519 0.9799828
## 352 64 0.9451289 1.1952127
## 353 63 1.0295522 1.0807287
## 354 28 1.0563205 1.0761494
## 355 20 0.9966065 1.0143280
## 356 12 1.0419068 1.0372248
## 357 47 0.9348334 0.9868519
## 358 33 0.9636608 0.9914312
## 359 9 1.1860441 1.1104946
## 360 10 0.9966065 1.0486732
## 361 15 0.9245378 0.9639551
## 362 26 0.9451289 0.9868519
## 363 61 0.9039468 0.8952647
## 364 67 0.9451289 0.9525067
## 365 48 1.0171975 1.0189074
## 366 15 0.9842519 0.9318996
## 367 16 0.7515731 0.9090028
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## 369 8 0.9842519 1.0418042
## 370 16 0.9348334 0.9456376
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## 372 40 0.9636608 1.0074590
## 373 40 1.0563205 1.0418042
## 374 20 0.8710011 0.8998440
## 375 30 1.1510393 1.0005899
## 376 34 0.9842519 0.9731138
## 377 57 0.8215826 0.8929750
## 378 50 1.0171975 1.0005899
## 379 6 0.8710011 0.9662448
## 380 44 0.9739563 0.9983003
## 381 62 0.9451289 0.9479273
## 382 30 1.1510393 1.1333914
## 383 40 1.1860441 1.0418042
## 384 16 1.0171975 0.9570860
## 385 41 1.2395808 1.1379707
## 386 76 1.0295522 0.9731138
## 387 40 0.9245378 1.0326455
## 388 46 1.0171975 1.0120383
## 389 63 0.9966065 1.0440939
## 390 14 1.0069020 0.9456376
## 391 9 0.9039468 0.9456376
## 392 37 1.0069020 0.9731138
## 393 35 0.9142423 0.9410583
## 394 68 1.0419068 1.0257764
## 395 31 1.0872071 0.9731138
## 396 79 0.8483510 0.8998440
## 397 32 0.8607056 0.9387686
## 398 39 0.9451289 0.9112924
## 399 18 1.0069020 0.9937209
## 400 40 0.8936513 0.9731138
## 401 73 1.1510393 0.9708241
## 402 28 0.9842519 0.9845622
## 403 22 1.2889993 1.0761494
## 404 1 1.2889993 1.2936689
## 405 57 0.9739563 0.9639551
## 406 63 1.0563205 1.2318476
## 407 33 0.8607056 0.9090028
## 408 2 0.9348334 0.9387686
## 409 12 1.2395808 1.0418042
## 410 47 0.9533653 0.9318996
## 411 11 1.1510393 1.1677366
## 412 27 1.0707342 1.0120383
## 413 65 0.9636608 1.0303558
## 414 69 1.0295522 1.0051693
## 415 30 1.1263301 1.0555423
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## 1819 3 1.0171975 1.0601216
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## 1825 66 0.8483510 0.9318996
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## 1828 27 0.8833558 0.9387686
## 1829 73 1.0171975 1.0326455
## 1830 70 0.9451289 0.9662448
## 1831 75 1.1860441 1.4356291
## 1832 6 0.9451289 0.9731138
## 1833 22 0.9636608 0.9273202
## 1834 18 0.9348334 0.9776932
## 1835 56 0.9142423 1.0005899
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## 1837 41 0.9245378 0.9914312
## 1838 16 0.8710011 0.9341892
## 1839 53 1.0295522 0.9593757
## 1840 64 0.9451289 0.9318996
## 1841 73 0.9245378 0.9410583
## 1842 15 0.9451289 0.9570860
## 1843 9 0.9966065 1.0418042
## 1844 9 1.2395808 1.1104946
## 1845 64 1.0069020 1.0807287
## 1846 4 0.9348334 0.9525067
## 1847 6 0.8607056 0.9273202
## 1848 22 0.9039468 1.0074590
## 1849 65 0.9451289 0.9776932
## 1850 16 0.8339372 0.9273202
## 1851 76 1.0563205 1.0189074
## 1852 28 1.0563205 1.0051693
## 1853 9 1.0563205 1.0853081
## 1854 28 0.8710011 0.9318996
## 1855 1 0.9636608 0.9639551
## 1856 55 1.0295522 0.9639551
## 1857 6 0.8483510 0.9204512
## 1858 69 0.8339372 0.9662448
## 1859 75 0.9142423 0.8746576
## 1860 17 1.0171975 1.0326455
## 1861 29 0.9739563 0.9937209
## 1862 34 0.9636608 1.0005899
## 1863 69 1.2889993 1.1860540
## 1864 51 1.1510393 1.1265223
## 1865 47 1.0563205 0.9456376
## 1866 14 0.9636608 1.0005899
## 1867 6 0.9533653 0.9776932
## 1868 68 0.9966065 0.8998440
## 1869 11 0.9966065 1.0853081
## 1870 32 0.8071689 0.8700782
## 1871 30 1.2889993 1.1860540
## 1872 75 1.1263301 1.0120383
## 1873 16 1.0563205 1.0257764
## 1874 68 1.0563205 1.0257764
## 1875 35 0.9039468 0.9868519
## 1876 39 1.0069020 0.9662448
## 1877 51 1.0707342 1.0418042
## 1878 28 1.0171975 0.9937209
## 1879 18 0.9039468 0.9387686
## 1880 1 1.0295522 0.9868519
## 1881 53 0.9245378 0.9708241
## 1882 18 0.8833558 1.0143280
## 1883 61 1.0295522 0.9479273
## 1884 32 0.9039468 0.9570860
## 1885 14 0.9348334 1.0005899
## 1886 43 0.9636608 0.9914312
## 1887 71 0.8710011 0.9341892
## 1888 63 0.9348334 1.0120383
## 1889 55 0.9533653 0.9799828
## 1890 70 1.1510393 1.0807287
## 1891 31 1.2395808 1.0601216
## 1892 24 0.9636608 0.9273202
## 1893 58 1.0872071 1.0326455
## 1894 11 1.0069020 1.0601216
## 1895 62 0.9739563 0.9731138
## 1896 36 0.9739563 1.0853081
## 1897 52 0.9966065 1.0853081
## 1898 22 0.9348334 0.9204512
## 1899 32 0.9039468 1.0486732
## 1900 53 0.9533653 0.9410583
## 1901 55 1.0295522 0.9983003
## 1902 28 0.9533653 0.9387686
## 1903 63 1.0563205 1.0807287
## 1904 58 0.9348334 1.0234867
## 1905 20 0.9636608 0.9731138
## 1906 19 0.8936513 0.9044234
## 1907 59 1.0707342 1.0807287
## 1908 13 1.1036799 1.0807287
## 1909 78 0.9842519 1.0257764
## 1910 28 0.9245378 0.9845622
## 1911 45 0.9842519 0.9318996
## 1912 19 0.9245378 0.9318996
## 1913 76 0.9348334 0.9410583
## 1914 72 1.1510393 1.0715700
## 1915 62 0.9348334 0.9479273
## 1916 7 1.2395808 1.0440939
## 1917 66 0.9451289 0.9387686
## 1918 19 0.9636608 1.0143280
## 1919 76 1.1263301 1.0715700
## 1920 67 0.8936513 0.9479273
## 1921 47 0.9739563 0.9845622
## 1922 72 0.8833558 0.9044234
## 1923 29 0.9245378 0.9387686
## 1924 31 1.1263301 0.9776932
## 1925 72 0.8483510 0.9456376
## 1926 55 0.9451289 0.9845622
## 1927 9 1.0872071 1.0532526
## 1928 54 0.9451289 0.9776932
## 1929 78 0.9739563 0.9593757
## 1930 42 0.8936513 0.9593757
## 1931 71 1.0171975 0.9525067
## 1932 66 0.9245378 0.9341892
## 1933 53 0.9842519 1.0189074
## 1934 30 1.1036799 1.0143280
## 1935 19 1.0171975 0.9479273
## 1936 71 1.1036799 1.0532526
## 1937 66 0.9966065 1.0257764
## 1938 34 0.9348334 1.0486732
## 1939 71 0.8833558 0.9273202
## 1940 60 0.9966065 1.0005899
## 1941 16 0.8936513 0.9090028
## 1942 73 0.9348334 1.0532526
## 1943 21 1.0707342 1.0372248
## 1944 61 1.0707342 1.0601216
## 1945 30 1.2889993 1.0555423
## 1946 24 1.1263301 1.0601216
## 1947 56 0.9245378 0.9273202
## 1948 11 0.9142423 0.9731138
## 1949 13 1.1860441 1.0807287
## 1950 8 0.9636608 0.9799828
## 1951 20 1.0171975 1.0257764
## 1952 49 1.0563205 1.0372248
## 1953 27 0.7515731 0.7922291
## 1954 12 0.9039468 0.9593757
## 1955 23 1.1263301 1.0647010
## 1956 71 0.8710011 0.8998440
## 1957 36 0.9039468 0.9639551
## 1958 13 0.8215826 0.8883957
## 1959 34 1.1510393 1.0372248
## 1960 70 1.0295522 1.0303558
## 1961 5 1.0419068 1.0234867
## 1962 48 1.1263301 1.0807287
## 1963 12 1.1860441 1.0326455
## 1964 47 0.9245378 0.9318996
## 1965 75 1.1510393 1.0532526
## 1966 30 1.0419068 0.9983003
## 1967 66 0.8483510 0.9387686
## 1968 70 0.9966065 0.9318996
## 1969 21 1.0563205 1.0189074
## 1970 4 1.0563205 0.9799828
## 1971 17 1.0707342 0.9868519
## 1972 28 1.0707342 1.0143280
## 1973 69 1.1263301 1.0555423
## 1974 9 1.0872071 1.1768953
## 1975 16 1.1036799 0.9845622
## 1976 51 1.0707342 1.0532526
## 1977 65 0.9966065 1.0257764
## 1978 74 1.0069020 0.9845622
## 1979 37 1.0419068 1.2318476
## 1980 36 1.0069020 1.0120383
## 1981 3 0.9039468 1.0326455
## 1982 59 1.0707342 1.1860540
## 1983 65 0.9966065 0.9731138
## 1984 1 1.1263301 1.0440939
## 1985 45 0.8483510 0.9158718
## 1986 50 1.0563205 1.0234867
## 1987 37 1.0872071 1.0601216
## 1988 33 0.9142423 1.0234867
## 1989 35 0.9636608 0.9273202
## 1990 24 1.0419068 0.9914312
## 1991 47 0.9636608 1.0120383
## 1992 5 1.0069020 0.9799828
## 1993 32 0.9039468 0.9593757
## 1994 47 0.9739563 1.0189074
## 1995 44 1.0563205 0.9341892
## 1996 43 0.9245378 0.9662448
## 1997 63 1.0069020 1.0692803
## 1998 16 1.0563205 0.9983003
## 1999 17 0.9533653 0.9410583
## 2000 19 0.9039468 0.9387686
## 2001 16 0.9966065 0.9937209
## 2002 40 1.0563205 1.0853081
## 2003 12 1.0419068 1.0418042
## 2004 25 0.9451289 0.9593757
## 2005 7 1.2395808 1.1608675
## 2006 18 1.0707342 1.0372248
## 2007 22 1.1263301 1.0418042
## 2008 76 0.9842519 0.9387686
## 2009 4 0.9533653 0.9479273
## 2010 4 0.9966065 0.9868519
## 2011 41 1.1860441 1.3280141
## 2012 36 0.9533653 0.9776932
## 2013 72 1.0419068 0.9731138
## 2014 68 0.8483510 0.9387686
## 2015 21 0.9142423 0.9204512
## 2016 71 0.9966065 0.9776932
## 2017 29 1.1860441 0.9776932
## 2018 33 0.8710011 0.8838163
## 2019 57 0.8339372 0.8952647
## 2020 28 1.0419068 0.9639551
## 2021 9 1.0295522 1.0326455
## 2022 71 1.0563205 0.9525067
## 2023 34 0.9348334 0.9479273
## 2024 23 1.1860441 1.1219430
## 2025 60 0.9348334 1.0051693
## 2026 67 1.0069020 0.9799828
## 2027 3 1.2395808 1.0326455
## 2028 68 1.0295522 1.0326455
## 2029 37 0.8936513 0.9662448
## 2030 63 1.1510393 1.0807287
## 2031 72 1.0872071 1.0692803
## 2032 43 0.9245378 0.9158718
## 2033 21 0.9245378 0.9570860
## 2034 66 1.1510393 1.1517088
## 2035 16 0.8607056 0.9410583
## 2036 24 0.9739563 0.9158718
## 2037 18 1.0707342 0.9799828
## 2038 73 0.9966065 0.9868519
## 2039 6 0.9533653 0.9525067
## 2040 24 0.9739563 1.0143280
## 2041 38 0.9451289 0.9708241
## 2042 2 0.9142423 0.9158718
## 2043 55 1.0419068 0.9799828
## 2044 36 1.0563205 1.0486732
## 2045 16 1.0171975 1.0143280
## 2046 28 0.9842519 1.0189074
## 2047 66 0.9842519 1.0418042
## 2048 27 0.9636608 1.0051693
## 2049 76 0.8339372 0.8838163
## 2050 74 0.8483510 0.9570860
## 2051 60 0.8710011 0.9479273
## 2052 67 0.8071689 0.9227408
## 2053 35 1.0707342 0.9845622
## 2054 71 1.0069020 1.0326455
## 2055 51 1.0707342 1.0143280
## 2056 74 0.8936513 0.9639551
## 2057 76 1.0563205 1.0189074
## 2058 17 1.0707342 1.0120383
## 2059 41 1.1860441 1.1333914
## 2060 72 1.2889993 1.0853081
## 2061 64 0.7906961 0.8700782
## 2062 9 1.0563205 1.0486732
## 2063 31 1.1036799 1.0051693
## 2064 16 0.8483510 0.9662448
## 2065 51 0.9739563 1.0005899
## 2066 28 1.0171975 1.0143280
## 2067 38 0.8339372 0.9273202
## 2068 1 0.9966065 1.0555423
## 2069 68 0.9842519 0.9776932
## 2070 54 1.0295522 1.0372248
## 2071 54 0.9966065 0.9570860
## 2072 20 0.9739563 1.0257764
## 2073 6 0.9842519 1.0440939
## 2074 12 1.0069020 0.9937209
## 2075 62 0.9451289 0.9456376
## 2076 72 1.0563205 1.0761494
## 2077 41 0.9842519 1.0418042
## 2078 56 0.8833558 0.9341892
## 2079 40 0.9966065 1.0074590
## 2080 70 1.0872071 1.0303558
## 2081 58 0.9842519 0.9731138
## 2082 12 0.9966065 0.9662448
## 2083 47 1.0872071 1.0372248
## 2084 44 1.1263301 1.1265223
## 2085 23 0.8936513 0.8609195
## 2086 22 0.9966065 0.9868519
## 2087 78 0.8710011 0.9708241
## 2088 32 0.9636608 0.9868519
## 2089 25 0.9636608 0.9387686
## 2090 41 1.2395808 1.1768953
## 2091 67 0.9739563 0.9456376
## 2092 55 0.9842519 0.9227408
## 2093 4 0.9533653 0.9570860
## 2094 69 0.9739563 1.0005899
## 2095 72 0.8483510 0.9456376
## 2096 3 1.0295522 0.9525067
## 2097 36 0.9842519 1.0807287
## 2098 8 0.9966065 1.0051693
## 2099 39 1.0171975 1.0051693
## 2100 23 0.9966065 0.9570860
## 2101 16 0.8936513 0.9479273
## 2102 36 0.9451289 1.0234867
## 2103 10 0.9451289 0.9708241
## 2104 37 1.0419068 1.1150739
## 2105 56 0.8936513 0.8700782
## 2106 18 0.9348334 0.9227408
## 2107 56 0.9039468 0.9090028
## 2108 38 0.9245378 0.9479273
## 2109 52 1.0872071 1.0143280
## 2110 17 0.9842519 0.9662448
## 2111 55 1.1860441 1.1150739
## 2112 7 1.0419068 1.0486732
## 2113 34 0.9451289 1.0051693
## 2114 28 0.9142423 1.0005899
## 2115 18 0.8339372 0.9227408
## 2116 43 0.9533653 0.9227408
## 2117 32 0.8483510 0.9158718
## 2118 31 0.9636608 0.9525067
## 2119 63 0.9451289 1.0051693
## 2120 3 0.9739563 0.9845622
## 2121 15 1.0069020 0.9845622
## 2122 68 1.0171975 1.1265223
## 2123 51 0.9842519 0.9983003
## 2124 10 0.9039468 0.9570860
## 2125 52 1.1036799 1.0898874
## 2126 10 0.9451289 0.9776932
## 2127 51 0.8483510 1.0005899
## 2128 41 0.9842519 1.0005899
## 2129 9 0.9142423 1.0005899
## 2130 40 1.1860441 1.0715700
## 2131 55 1.0419068 1.1219430
## 2132 7 0.8607056 0.9204512
## 2133 51 1.0872071 1.0372248
## 2134 22 1.0419068 1.0005899
## 2135 65 1.0419068 1.1768953
## 2136 28 0.9451289 0.9456376
## 2137 22 0.9636608 0.9914312
## 2138 20 1.0563205 1.0234867
## 2139 8 0.9533653 0.9845622
## 2140 56 0.8339372 0.9112924
## 2141 25 1.0419068 1.0440939
## 2142 61 1.1510393 1.0486732
## 2143 24 1.0171975 1.0120383
## 2144 64 0.9636608 1.0372248
## 2145 12 1.1036799 1.0440939
## 2146 47 0.9966065 0.9479273
## 2147 33 0.8710011 0.9639551
## 2148 71 1.0707342 1.0486732
## 2149 9 0.9966065 1.0647010
## 2150 72 0.9451289 0.9410583
## 2151 37 0.7906961 0.9593757
## 2152 32 0.9142423 0.9639551
## 2153 42 1.0069020 1.0486732
## 2154 10 1.0419068 1.0326455
## 2155 7 1.1860441 1.0761494
## 2156 8 0.8936513 0.9204512
## 2157 20 0.9245378 0.9639551
## 2158 3 1.1263301 1.1379707
## 2159 79 0.8936513 0.9639551
## 2160 51 1.2889993 1.4356291
## 2161 15 1.0069020 1.0440939
## 2162 74 1.1263301 1.0189074
## 2163 50 1.0563205 1.0601216
## 2164 48 1.0563205 0.9914312
## 2165 28 0.9245378 1.0074590
## 2166 2 0.9348334 0.9387686
## 2167 52 1.0707342 1.0853081
## 2168 67 0.9245378 0.9570860
## 2169 23 1.0563205 0.9662448
## 2170 75 1.1036799 0.9708241
## 2171 5 0.8936513 0.9570860
## 2172 44 0.9451289 0.9525067
## 2173 71 0.9348334 0.9525067
## 2174 50 1.0872071 1.0257764
## 2175 68 1.0295522 0.9570860
## 2176 69 0.9533653 0.9708241
## 2177 61 0.8071689 0.9227408
## 2178 66 0.9636608 0.9799828
## 2179 4 1.0563205 0.9983003
## 2180 19 1.0707342 0.9708241
## 2181 76 0.9142423 0.8998440
## 2182 22 0.9636608 1.0372248
## 2183 79 1.0707342 1.0074590
## 2184 51 0.9636608 0.9662448
## 2185 70 1.1263301 1.1059152
## 2186 24 0.9142423 0.9639551
## 2187 60 0.8710011 0.9090028
## 2188 38 1.1860441 1.0692803
## 2189 66 0.8833558 0.9570860
## 2190 7 0.9451289 0.9639551
## 2191 56 0.9142423 0.9273202
## 2192 64 1.0563205 1.2684824
## 2193 5 1.0069020 0.9799828
## 2194 74 1.2395808 1.0601216
## 2195 54 1.0707342 1.1860540
## 2196 16 0.8936513 0.9639551
## 2197 20 0.9039468 0.9112924
## 2198 72 1.0069020 1.0647010
## 2199 16 0.9348334 0.9593757
## 2200 49 1.0707342 1.0303558
## 2201 68 0.9636608 0.9456376
## 2202 25 1.0872071 0.9708241
## 2203 4 0.8607056 0.9112924
## 2204 21 0.9451289 0.9456376
## 2205 59 1.0069020 0.9525067
## 2206 59 0.9533653 0.9662448
## 2207 23 1.2395808 1.1219430
## 2208 27 1.1263301 1.0234867
## 2209 22 0.9636608 0.8700782
## 2210 35 0.9142423 0.8792369
## 2211 28 0.8936513 0.9845622
## 2212 61 1.0872071 1.0005899
## 2213 37 0.9451289 0.9983003
## 2214 28 1.0707342 1.0234867
## 2215 41 0.9348334 0.9937209
## 2216 33 0.8339372 0.8700782
## 2217 30 1.1036799 1.1219430
## 2218 2 1.0171975 0.9387686
## 2219 10 1.0069020 1.0555423
## 2220 29 1.0171975 1.0486732
## 2221 58 1.0872071 1.0990462
## 2222 79 0.9739563 0.9318996
## 2223 1 0.9842519 0.9914312
## 2224 40 1.1510393 1.1333914
## 2225 23 1.2395808 1.0715700
## 2226 20 1.0419068 1.0143280
## 2227 72 1.0069020 1.0234867
## 2228 53 1.0563205 0.9570860
## 2229 44 1.0171975 0.9845622
## 2230 5 0.8483510 0.9525067
## 2231 35 0.9739563 1.0234867
## 2232 63 1.1263301 1.1379707
## 2233 20 1.1510393 1.1265223
## 2234 29 1.1036799 1.0601216
## 2235 23 1.0872071 0.9731138
## 2236 9 1.0069020 1.0692803
## 2237 51 1.1263301 1.2066611
## 2238 40 1.0069020 0.9731138
## 2239 43 0.9842519 0.9937209
## 2240 9 1.0295522 1.1379707
## 2241 27 1.0707342 1.0898874
## 2242 36 0.8936513 0.9868519
## 2243 41 1.0872071 1.0005899
## 2244 75 0.8483510 0.9410583
## 2245 64 1.0563205 1.0601216
## 2246 43 0.8339372 0.8700782
## 2247 20 0.9636608 1.0051693
## 2248 72 1.0419068 1.1104946
## 2249 62 0.9966065 0.9662448
## 2250 37 1.0295522 1.0234867
## 2251 58 1.0707342 1.0807287
## 2252 19 0.9842519 0.9479273
## 2253 68 0.9966065 1.0647010
## 2254 34 1.0069020 0.9937209
## 2255 50 1.1510393 1.0715700
## 2256 45 0.8215826 0.9525067
## 2257 73 1.0419068 1.0532526
## 2258 41 1.0419068 1.0051693
## 2259 1 0.9739563 0.9937209
## 2260 50 1.0872071 0.9731138
## 2261 65 0.9348334 0.9387686
## 2262 16 0.8215826 0.8838163
## 2263 64 0.9636608 0.9593757
## 2264 26 0.8339372 0.9387686
## 2265 26 1.0171975 0.9799828
## 2266 78 0.8833558 0.9090028
## 2267 67 0.9739563 0.9593757
## 2268 26 0.8071689 0.9044234
## 2269 56 0.9739563 0.9456376
## 2270 41 1.0563205 1.0051693
## 2271 4 1.0563205 0.9662448
## 2272 65 0.9636608 1.0143280
## 2273 48 0.9842519 0.9983003
## 2274 69 1.1510393 1.1379707
## 2275 11 1.1263301 1.1677366
## 2276 19 1.0872071 0.9799828
## 2277 68 0.9533653 0.9479273
## 2278 76 0.9142423 0.9318996
## 2279 71 1.1036799 1.1059152
## 2280 3 0.9348334 0.9776932
## 2281 51 0.9966065 1.0234867
## 2282 13 0.9842519 1.0257764
## 2283 45 0.8936513 0.9273202
## 2284 57 0.8710011 0.9387686
## 2285 70 0.8936513 0.9341892
## 2286 38 0.9142423 0.9410583
## 2287 79 1.0707342 1.0303558
## 2288 26 0.9142423 0.9731138
## 2289 57 0.9636608 0.9799828
## 2290 32 0.8936513 0.9090028
## 2291 29 1.0171975 0.9914312
## 2292 27 0.9533653 0.9845622
## 2293 4 0.8607056 1.0257764
## 2294 32 0.7906961 0.8197053
## 2295 3 1.0171975 1.0486732
## 2296 63 1.2889993 1.1677366
## 2297 7 0.8710011 0.9227408
## 2298 34 0.9842519 1.0372248
## 2299 8 0.9142423 0.9914312
## 2300 13 1.2889993 1.3280141
## 2301 58 0.8710011 0.9799828
## 2302 76 1.0707342 0.9914312
## 2303 13 0.9966065 1.0372248
## 2304 9 1.0171975 1.0051693
## 2305 37 0.8607056 0.9479273
## 2306 71 0.9451289 0.9158718
## 2307 73 0.9039468 0.9662448
## 2308 62 0.8483510 0.9044234
## 2309 15 0.9245378 0.9341892
## 2310 22 1.1860441 1.1379707
## 2311 22 1.1860441 1.1517088
## 2312 71 0.9739563 1.0555423
## 2313 26 0.8833558 1.0372248
## 2314 76 1.1860441 1.0692803
## 2315 76 1.0707342 1.0005899
## 2316 51 1.0707342 1.0807287
## 2317 5 1.1860441 1.1860540
## 2318 57 0.9739563 0.9776932
## 2319 50 1.1510393 1.0647010
## 2320 74 1.0295522 1.1608675
## 2321 26 0.9348334 1.1265223
## 2322 56 0.8071689 0.8654989
## 2323 71 0.8607056 0.9112924
## 2324 53 0.9245378 0.9387686
## 2325 21 1.0419068 1.0120383
## 2326 54 0.9966065 1.0074590
## 2327 33 0.6980364 0.8883957
## 2328 10 1.0872071 1.1150739
## 2329 31 1.0295522 0.9731138
## 2330 37 0.9842519 0.9662448
## 2331 64 1.1860441 1.1379707
## 2332 16 0.9245378 0.9456376
## 2333 29 0.8936513 0.9731138
## 2334 62 0.8833558 0.9273202
## 2335 21 0.9842519 1.0303558
## 2336 42 1.1510393 1.1608675
## 2337 37 1.1036799 1.0326455
## 2338 11 1.0069020 1.0692803
## 2339 1 0.9842519 1.0418042
## 2340 32 1.0563205 1.0051693
## 2341 27 0.9245378 0.9639551
## 2342 67 1.0419068 0.9731138
## 2343 59 0.9348334 0.9708241
## 2344 21 1.0707342 1.0005899
## 2345 5 0.9039468 0.9868519
## 2346 3 0.9245378 0.9731138
## 2347 69 1.1036799 1.0143280
## 2348 76 0.9451289 0.9479273
## 2349 69 0.9533653 0.9639551
## 2350 4 0.9451289 0.9570860
## 2351 42 0.9966065 1.0418042
## 2352 64 1.0563205 1.0257764
## 2353 33 0.9966065 1.0234867
## 2354 51 1.1860441 1.2181095
## 2355 5 0.9039468 0.9204512
## 2356 9 1.0872071 1.0555423
## 2357 22 1.0707342 1.0326455
## 2358 73 1.2395808 1.0326455
## 2359 56 1.2889993 1.4356291
## 2360 33 0.8607056 0.9983003
## 2361 66 0.8833558 0.9731138
## 2362 7 1.0419068 1.0257764
## 2363 70 0.9451289 0.9662448
## 2364 35 0.9533653 0.9456376
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## 2366 2 0.8607056 0.8952647
## 2367 20 1.0563205 1.0898874
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## 2370 50 1.2889993 1.0532526
## 2371 58 1.0419068 0.9799828
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## 2375 11 0.9348334 1.0692803
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## 2380 78 0.9842519 0.9570860
## 2381 64 0.8215826 0.9158718
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## 2385 14 0.9636608 0.9204512
## 2386 34 0.9451289 0.9662448
## 2387 30 1.0171975 0.9776932
## 2388 19 0.9039468 0.9776932
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## 2390 5 0.9533653 0.9570860
## 2391 27 0.9451289 1.0647010
## 2392 51 0.9739563 1.0051693
## 2393 71 1.0872071 1.0372248
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## 2395 21 1.0872071 1.0601216
## 2396 25 0.9533653 0.9227408
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## 2398 26 0.9245378 0.9227408
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## 2400 27 1.1510393 1.0807287
## 2401 34 0.9842519 0.9983003
## 2402 19 0.8339372 0.8998440
## 2403 54 0.9739563 1.0555423
## 2404 29 1.0419068 1.0005899
## 2405 35 1.0295522 0.9799828
## 2406 71 0.9348334 0.9341892
## 2407 41 0.9636608 1.0051693
## 2408 37 1.0069020 0.9593757
## 2409 16 0.9966065 0.9983003
## 2410 30 1.2395808 1.2318476
## 2411 9 0.9245378 0.9731138
## 2412 78 1.0295522 1.0143280
## 2413 17 1.1263301 1.0761494
## 2414 64 1.1510393 1.3280141
## 2415 74 0.9451289 1.0143280
## 2416 8 1.0872071 1.0234867
## 2417 66 0.9636608 0.9525067
## 2418 61 0.9451289 0.9204512
## 2419 39 0.9966065 1.0143280
## 2420 53 0.9533653 1.0189074
## 2421 50 0.9451289 1.0074590
## 2422 27 1.1510393 1.0647010
## 2423 8 0.8833558 0.9456376
## 2424 3 0.9142423 0.9227408
## 2425 7 1.0419068 0.9593757
## 2426 38 1.0419068 1.0692803
## 2427 66 0.9533653 0.9044234
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## 2429 5 1.0419068 0.9593757
## 2430 15 1.0069020 0.9662448
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## 5471 11 1.0069020 1.1265223
## 5472 55 0.8215826 0.9204512
## 5473 67 0.9842519 1.0074590
## 5474 56 0.9142423 0.9456376
## 5475 37 1.0069020 0.9570860
## 5476 72 1.0419068 1.0761494
## 5477 78 1.1263301 1.0234867
## 5478 8 0.9966065 1.0234867
## 5479 27 1.1263301 1.0532526
## 5480 55 0.9451289 0.9593757
## 5481 50 1.2395808 1.0051693
## 5482 35 0.9451289 0.9639551
## 5483 19 0.8483510 0.8929750
## 5484 50 0.9348334 0.9387686
## 5485 72 1.1263301 1.1333914
## 5486 12 1.1263301 1.1448398
## 5487 7 1.0069020 0.9044234
## 5488 57 0.8936513 0.9479273
## 5489 22 0.9842519 0.9708241
## 5490 28 0.9039468 0.9341892
## 5491 71 0.9739563 0.9456376
## 5492 71 0.8483510 0.9479273
## 5493 63 1.0563205 1.0601216
## 5494 63 1.0419068 0.9662448
## 5495 71 0.8833558 0.9318996
## 5496 13 1.1036799 1.0555423
## 5497 57 0.9842519 0.9525067
## 5498 48 0.9636608 0.9776932
## 5499 53 0.9842519 0.9410583
## 5500 60 0.9636608 0.9456376
## 5501 71 0.9245378 0.9456376
## 5502 32 0.8936513 0.9273202
## 5503 18 0.9348334 0.8952647
## 5504 5 0.9966065 0.9525067
## 5505 67 0.9966065 0.9410583
## 5506 49 0.9966065 1.0486732
## 5507 50 0.8936513 0.9318996
## 5508 38 0.9451289 1.0051693
## 5509 35 0.8607056 0.8746576
## 5510 25 0.8710011 0.9090028
## 5511 64 0.8936513 0.9799828
## 5512 14 0.9245378 0.9708241
## 5513 68 0.9966065 1.0005899
## 5514 17 1.1510393 1.0120383
## 5515 80 0.9966065 1.0234867
## 5516 24 0.9533653 0.9776932
## 5517 32 0.8936513 0.8838163
## 5518 66 0.9451289 1.1219430
## 5519 51 0.9966065 0.9983003
## 5520 65 1.0171975 1.0120383
## 5521 32 0.9039468 0.8929750
## 5522 68 1.0563205 0.9937209
## 5523 39 1.0295522 1.0326455
## 5524 50 0.9451289 0.9776932
## 5525 73 1.0707342 1.1059152
## 5526 72 0.9348334 0.9731138
## 5527 33 0.9142423 0.9731138
## 5528 30 1.1510393 0.9731138
## 5529 45 0.9142423 0.9318996
## 5530 71 1.0563205 0.9776932
## 5531 78 0.9533653 0.9410583
## 5532 37 0.8215826 0.9090028
## 5533 16 0.8936513 0.9158718
## 5534 41 0.9739563 0.9937209
## 5535 11 1.1510393 1.2478753
## 5536 78 0.8483510 0.9227408
## 5537 51 1.2395808 1.2478753
## 5538 38 1.0419068 1.0944668
## 5539 41 1.0707342 1.0143280
## 5540 6 0.9842519 0.8883957
## 5541 56 1.1510393 1.1059152
## 5542 75 0.9636608 0.9456376
## 5543 68 0.9636608 1.0005899
## 5544 27 1.0707342 1.1150739
## 5545 9 0.9636608 1.0440939
## 5546 79 0.8710011 0.8998440
## 5547 21 0.9842519 1.0303558
## 5548 69 1.1263301 1.1150739
## 5549 75 1.0563205 0.9983003
## 5550 5 0.8833558 0.8792369
## 5551 70 0.9842519 0.9914312
## 5552 27 1.1860441 1.0074590
## 5553 73 0.8339372 0.9227408
## 5554 37 1.1036799 1.1952127
## 5555 45 0.8710011 0.9090028
## 5556 70 0.9533653 1.0074590
## 5557 22 1.0872071 0.9410583
## 5558 63 1.1036799 1.1219430
## 5559 8 0.9533653 0.9479273
## 5560 53 0.8607056 0.9044234
## 5561 33 0.8607056 0.8998440
## 5562 13 0.9533653 0.9731138
## 5563 80 0.9842519 1.0005899
## 5564 78 0.9142423 0.9387686
## 5565 52 1.0419068 0.9937209
## 5566 63 0.9348334 0.9525067
## 5567 37 1.0171975 1.0005899
## 5568 79 1.1510393 0.9708241
## 5569 75 1.1860441 1.0120383
## 5570 12 0.9739563 0.9410583
## 5571 30 0.9739563 0.9204512
## 5572 55 0.9533653 0.9662448
## 5573 41 0.9636608 0.9799828
## 5574 52 1.2889993 1.0555423
## 5575 24 0.8607056 0.9525067
## 5576 28 0.9636608 1.0555423
## 5577 33 0.9142423 0.9708241
## 5578 9 1.1263301 1.0761494
## 5579 65 1.0171975 1.0532526
## 5580 49 0.9739563 0.9914312
## 5581 74 1.1860441 1.1860540
## 5582 45 0.9739563 0.9983003
## 5583 30 1.2889993 1.0555423
## 5584 9 1.0171975 1.0532526
## 5585 9 1.0069020 1.0692803
## 5586 50 1.0171975 0.9456376
## 5587 22 0.8607056 0.8929750
## 5588 30 1.0295522 1.0074590
## 5589 47 1.1036799 0.9731138
## 5590 42 0.9739563 1.0120383
## 5591 66 0.9142423 0.9983003
## 5592 35 1.1510393 1.1265223
## 5593 8 0.8710011 0.9341892
## 5594 66 0.9636608 1.0005899
## 5595 17 1.0872071 1.0051693
## 5596 45 0.8710011 0.8998440
## 5597 27 0.9966065 0.9639551
## 5598 63 1.1036799 1.0486732
## 5599 27 1.0707342 0.9868519
## 5600 52 1.1860441 1.1677366
## 5601 57 0.9451289 0.9341892
## 5602 17 0.9039468 0.8883957
## 5603 10 1.1263301 1.0944668
## 5604 61 0.9739563 0.9387686
## 5605 47 0.9966065 1.0074590
## 5606 28 0.9533653 0.9937209
## 5607 56 0.8833558 0.9845622
## 5608 58 0.9636608 0.9410583
## 5609 75 1.0563205 1.0807287
## 5610 33 0.9966065 1.0051693
## 5611 12 0.9348334 0.9318996
## 5612 55 0.9842519 1.0143280
## 5613 32 0.9348334 0.9204512
## 5614 63 0.8071689 0.9158718
## 5615 45 0.6980364 0.8929750
## 5616 28 1.0707342 1.0234867
## 5617 80 1.1860441 1.2478753
## 5618 11 1.0171975 1.0807287
## 5619 41 1.2889993 1.0692803
## 5620 74 0.9636608 0.9662448
## 5621 57 0.8936513 0.9227408
## 5622 56 0.9142423 0.9845622
## 5623 3 1.0069020 1.0074590
## 5624 64 0.8833558 0.9090028
## 5625 32 0.9636608 1.0440939
## 5626 41 1.0419068 0.9731138
## 5627 70 0.9451289 0.9868519
## 5628 22 0.8833558 0.8998440
## 5629 72 1.1036799 1.0853081
## 5630 26 0.8710011 0.9090028
## 5631 75 1.0171975 1.0257764
## 5632 55 1.2395808 1.0647010
## 5633 60 0.9245378 0.9341892
## 5634 45 0.8710011 0.9204512
## 5635 45 0.8339372 0.8700782
## 5636 74 1.1263301 1.1150739
## 5637 16 0.8833558 0.9662448
## 5638 72 1.1860441 1.1219430
## 5639 17 1.1036799 1.0074590
## 5640 9 0.9039468 0.9273202
## 5641 54 1.1263301 1.1150739
## 5642 50 0.9636608 0.9937209
## 5643 68 1.0563205 1.0234867
## 5644 19 1.1510393 1.0647010
## 5645 48 1.0872071 1.0647010
## 5646 35 0.8833558 0.9090028
## 5647 22 0.9348334 0.9593757
## 5648 64 0.9739563 1.0234867
## 5649 73 1.0707342 1.1059152
## 5650 2 0.9142423 0.8929750
## 5651 70 1.1510393 1.1677366
## 5652 75 1.0872071 1.0051693
## 5653 76 1.0872071 1.0143280
## 5654 71 1.1510393 1.0303558
## 5655 8 0.8710011 0.9479273
## 5656 20 1.0563205 1.1448398
## 5657 4 0.9451289 0.9525067
## 5658 42 1.1860441 1.0715700
## 5659 21 1.1036799 0.9456376
## 5660 72 1.1263301 1.0189074
## 5661 64 1.0171975 1.0486732
## 5662 45 0.8936513 0.9525067
## 5663 73 1.0171975 1.0051693
## 5664 34 1.0295522 0.9731138
## 5665 70 1.0069020 0.9479273
## 5666 63 1.1510393 1.0807287
## 5667 40 0.9739563 1.0326455
## 5668 6 0.9451289 0.9318996
## 5669 58 1.0872071 1.0234867
## 5670 52 1.0707342 1.0005899
## 5671 56 0.8215826 0.9090028
## 5672 59 0.9039468 0.9937209
## 5673 62 0.9739563 0.9570860
## 5674 71 0.8607056 0.9112924
## 5675 36 0.9966065 0.9914312
## 5676 38 1.0069020 1.0418042
## 5677 73 0.9636608 0.9525067
## 5678 16 0.9842519 0.9937209
## 5679 38 0.9842519 1.0440939
## 5680 70 1.1510393 1.0761494
## 5681 10 0.9966065 1.0189074
## 5682 61 0.9636608 1.0440939
## 5683 76 0.7515731 0.8952647
## 5684 22 0.8483510 0.9456376
## 5685 62 0.9966065 1.0120383
## 5686 80 1.2395808 1.1265223
## 5687 43 0.8339372 0.8792369
## 5688 64 0.9739563 0.9845622
## 5689 9 0.9451289 1.0143280
## 5690 28 0.9142423 0.9799828
## 5691 2 0.8833558 0.9273202
## 5692 12 0.9142423 0.9456376
## 5693 74 1.0872071 0.9937209
## 5694 27 0.9739563 1.0005899
## 5695 68 1.0295522 1.0372248
## 5696 65 0.9039468 1.0074590
## 5697 39 1.0563205 0.9273202
## 5698 67 0.9039468 0.9593757
## 5699 34 1.0171975 1.0005899
## 5700 47 1.1510393 1.0005899
## 5701 80 1.0419068 1.0143280
## 5702 78 1.0069020 0.9799828
## 5703 32 0.9039468 0.9318996
## 5704 27 0.9842519 0.9731138
## 5705 7 0.8833558 1.0120383
## 5706 45 0.9533653 0.9914312
## 5707 10 0.9348334 0.9227408
## 5708 9 0.9533653 1.0807287
## 5709 59 1.1860441 1.1448398
## 5710 55 0.9739563 0.9662448
## 5711 43 0.9245378 0.9639551
## 5712 27 1.1263301 1.0601216
## 5713 17 1.1860441 1.0990462
## 5714 19 0.8936513 0.9273202
## 5715 33 0.9451289 0.9731138
## 5716 45 0.9245378 0.9593757
## 5717 36 0.9533653 1.0074590
## 5718 57 1.0419068 0.9799828
## 5719 61 0.9842519 0.9708241
## 5720 6 0.8936513 0.9318996
## 5721 40 0.9348334 0.9639551
## 5722 20 0.9245378 0.9525067
## 5723 1 1.0707342 1.0303558
## 5724 33 0.9245378 0.9570860
## 5725 41 1.0419068 1.0005899
## 5726 51 0.9842519 1.0326455
## 5727 3 1.0419068 0.9593757
## 5728 23 1.1263301 0.9937209
## 5729 16 0.8710011 0.9044234
## 5730 79 1.1510393 1.1219430
## 5731 70 0.8710011 0.9456376
## 5732 75 0.9636608 1.0120383
## 5733 16 0.8710011 0.8929750
## 5734 14 0.8483510 0.9341892
## 5735 70 0.9739563 0.9731138
## 5736 79 0.9142423 0.9341892
## 5737 20 0.9348334 0.9456376
## 5738 36 0.8936513 0.9044234
## 5739 79 1.0872071 1.0532526
## 5740 60 0.9842519 0.9341892
## 5741 45 0.8215826 0.8929750
## 5742 73 1.0872071 1.3852561
## 5743 58 0.9966065 1.0257764
## 5744 62 0.9636608 0.9662448
## 5745 49 1.1510393 1.1059152
## 5746 67 1.0563205 1.0005899
## 5747 22 0.9842519 0.9868519
## 5748 32 0.9245378 0.9639551Mapping
cp %>%
mutate(.,
mp = math.s/ms[1],
rp = read.s/ms[2]) %>%
ggplot(aes(mp,rp, color = race),size = I2) +
geom_point(aes(size = sch.ivar))