Results: mathlogreg4.sas

Prediction of Performance in First-year Calculus

Percent passed for the record

The FREQ Procedure

The Freq Procedure

Table passed

One-Way Frequencies

Passed the course
passed Frequency Percent Cumulative
Frequency		 Cumulative
Percent
No 274 47.32 274 47.32
Yes 305 52.68 579 100.00

Prediction of Performance in First-year Calculus

Missingness on variables used, as a predictor of passing

The FREQ Procedure

The Freq Procedure

Table missused * passed

Cross-Tabular Freq Table

Frequency
Row Pct
Table of missused by passed
missused(Any of hsgpa hscalc precalc missing) passed(Passed the course)
No Yes Total
No
141
37.60
234
62.40
375
 
Yes
133
65.20
71
34.80
204
 
Total
274
305
579

Statistics for Table of missused by passed

Chi-Square Tests

Statistic DF Value Prob
Chi-Square 1 40.3631 <.0001
Likelihood Ratio Chi-Square 1 40.7904 <.0001
Continuity Adj. Chi-Square 1 39.2637 <.0001
Mantel-Haenszel Chi-Square 1 40.2934 <.0001
Phi Coefficient   -0.2640  
Contingency Coefficient   0.2553  
Cramer's V   -0.2640  

Fisher's Exact Test

Fisher's Exact Test
Cell (1,1) Frequency (F) 141
Left-sided Pr <= F <.0001
Right-sided Pr >= F 1.0000
   
Table Probability (P) <.0001
Two-sided Pr <= P <.0001

Sample Size = 579

Prediction of Performance in First-year Calculus

Missingness on variables used, as a predictor of passing

Look at estimated probabilities

The Print Procedure

Data Set WORK.MATHEX3

Obs hsgpa hscalc precalc pihat
1 78.0 65 2 0.28847
2 66.0 54 6 0.13985
3 80.2 77 4 0.67222
4 81.7 80 5 0.79970
5 86.8 87 4 0.89381
6 76.7 53 3 0.17923
7 85.8 86 3 0.83892
8 73.0 75 4 0.43682
9 72.3 63 6 0.37672
10 90.3 87 8 0.97672
11 . . 8 .
12 . . 6 .
13 87.2 84 . .

Prediction of Performance in First-year Calculus

Explore the distribution of estimated probabilities

The UNIVARIATE Procedure

Variable: pihat (Estimated Probability)

The Univariate Procedure

pihat

Moments

Moments
N 375 Sum Weights 375
Mean 0.62399888 Sum Observations 233.999579
Std Deviation 0.26929182 Variance 0.07251808
Skewness -0.3676074 Kurtosis -1.140799
Uncorrected SS 173.137237 Corrected SS 27.121763
Coeff Variation 43.1558177 Std Error Mean 0.01390617

Basic Measures of Location and Variability

Basic Statistical Measures
Location Variability
Mean 0.623999 Std Deviation 0.26929
Median 0.670185 Variance 0.07252
Mode 0.326099 Range 0.95826
    Interquartile Range 0.47953

Note: The mode displayed is the smallest of 3 modes with a count of 2.

Tests For Location

Tests for Location: Mu0=0
Test Statistic p Value
Student's t t 44.87209 Pr > |t| <.0001
Sign M 187.5 Pr >= |M| <.0001
Signed Rank S 35250 Pr >= |S| <.0001

Tests For Normality

Tests for Normality
Test Statistic p Value
Shapiro-Wilk W 0.931786 Pr < W <0.0001
Kolmogorov-Smirnov D 0.104768 Pr > D <0.0100
Cramer-von Mises W-Sq 1.224091 Pr > W-Sq <0.0050
Anderson-Darling A-Sq 7.843335 Pr > A-Sq <0.0050

Quantiles

Quantiles (Definition 5)
Level Quantile
100% Max 0.9949748
99% 0.9914191
95% 0.9771104
90% 0.9537774
75% Q3 0.8536269
50% Median 0.6701851
25% Q1 0.3740967
10% 0.2337966
5% 0.1693272
1% 0.0955652
0% Min 0.0367136

Extreme Observations

Extreme Observations
Lowest Highest
Value Obs Value Obs
0.0367136 380 0.990771 418
0.0511361 47 0.991419 50
0.0784379 409 0.993027 452
0.0955652 193 0.993405 414
0.0983791 120 0.994975 286

Plots for pihat

Plots for pihat

Prediction of Performance in First-year Calculus

Seek the 52.68 percentile

The FREQ Procedure

The Freq Procedure

Table pihat

One-Way Frequencies

Estimated Probability
pihat Frequency Percent Cumulative
Frequency		 Cumulative
Percent
0.0367136198 1 0.17 1 0.17
0.0511360776 1 0.17 2 0.35
0.078437878 1 0.17 3 0.52
0.0955652362 1 0.17 4 0.69
0.0983790669 1 0.17 5 0.86
0.0994247372 1 0.17 6 1.04
0.1079587684 1 0.17 7 1.21
0.1092881783 1 0.17 8 1.38
0.1214093293 1 0.17 9 1.55
0.1254978653 1 0.17 10 1.73
0.1260612312 1 0.17 11 1.90
0.1280770036 1 0.17 12 2.07
0.1316025331 1 0.17 13 2.25
0.1398494155 1 0.17 14 2.42
0.1549109289 1 0.17 15 2.59
0.1553898318 1 0.17 16 2.76
0.1667541921 1 0.17 17 2.94
0.1675299061 1 0.17 18 3.11
0.1693271776 1 0.17 19 3.28
0.1724966425 1 0.17 20 3.45
0.173007616 1 0.17 21 3.63
0.1785556256 1 0.17 22 3.80
0.1792332339 1 0.17 23 3.97
0.1840768114 1 0.17 24 4.15
0.184614435 1 0.17 25 4.32
0.1865492579 1 0.17 26 4.49
0.1867020828 1 0.17 27 4.66
0.1898935557 1 0.17 28 4.84
0.1899720887 1 0.17 29 5.01
0.1912306119 1 0.17 30 5.18
0.1982008864 1 0.17 31 5.35
0.2015303294 1 0.17 32 5.53
0.2019516266 1 0.17 33 5.70
0.2098832912 1 0.17 34 5.87
0.2104536735 1 0.17 35 6.04
0.212422998 1 0.17 36 6.22
0.2136115095 1 0.17 37 6.39
0.2337966296 1 0.17 38 6.56
0.2347101545 1 0.17 39 6.74
0.2383130114 1 0.17 40 6.91
0.2453226011 1 0.17 41 7.08
0.2474120562 1 0.17 42 7.25
0.2476744047 1 0.17 43 7.43
0.2478849416 1 0.17 44 7.60
0.2491135913 1 0.17 45 7.77
0.2491250774 1 0.17 46 7.94
0.2605463572 1 0.17 47 8.12
0.2670878988 1 0.17 48 8.29
0.2683016633 1 0.17 49 8.46
0.2695128707 1 0.17 50 8.64
0.27109441 1 0.17 51 8.81
0.2762512041 1 0.17 52 8.98
0.2780033213 1 0.17 53 9.15
0.2828352392 1 0.17 54 9.33
0.2838756269 1 0.17 55 9.50
0.2876256607 1 0.17 56 9.67
0.288358831 1 0.17 57 9.84
0.2884733001 1 0.17 58 10.02
0.2902557701 1 0.17 59 10.19
0.2913060277 1 0.17 60 10.36
0.2914114144 1 0.17 61 10.54
0.2963615038 1 0.17 62 10.71
0.3009590252 1 0.17 63 10.88
0.301072881 1 0.17 64 11.05
0.3018357796 1 0.17 65 11.23
0.3033613486 1 0.17 66 11.40
0.3034332673 1 0.17 67 11.57
0.3035641493 1 0.17 68 11.74
0.3052850652 1 0.17 69 11.92
0.312571675 1 0.17 70 12.09
0.3196457248 1 0.17 71 12.26
0.3239765669 1 0.17 72 12.44
0.3244073487 1 0.17 73 12.61
0.3246347709 1 0.17 74 12.78
0.3260991465 2 0.35 76 13.13
0.3374021016 1 0.17 77 13.30
0.338319892 1 0.17 78 13.47
0.3413062812 1 0.17 79 13.64
0.348 204 35.23 283 48.88
0.3498195629 1 0.17 284 49.05
0.3521715394 1 0.17 285 49.22
0.3529628808 1 0.17 286 49.40
0.3535605705 1 0.17 287 49.57
0.3536702213 1 0.17 288 49.74
0.354268453 1 0.17 289 49.91
0.3561298256 1 0.17 290 50.09
0.3602505561 1 0.17 291 50.26
0.3610750183 1 0.17 292 50.43
0.3630771793 1 0.17 293 50.60
0.3635390976 1 0.17 294 50.78
0.3646071164 1 0.17 295 50.95
0.3650627491 1 0.17 296 51.12
0.3700678483 1 0.17 297 51.30
0.3740967451 1 0.17 298 51.47
0.37659731 1 0.17 299 51.64
0.3767171507 1 0.17 300 51.81
0.3797276749 1 0.17 301 51.99
0.3903528627 1 0.17 302 52.16
0.3915728047 1 0.17 303 52.33
0.3916797861 1 0.17 304 52.50
0.4063743825 1 0.17 305 52.68
0.4068972569 1 0.17 306 52.85
0.415002036 1 0.17 307 53.02
0.421615942 1 0.17 308 53.20
0.4229679124 1 0.17 309 53.37
0.4236971213 1 0.17 310 53.54
0.4290845909 1 0.17 311 53.71
0.429092112 1 0.17 312 53.89
0.4368216925 1 0.17 313 54.06
0.4390734556 1 0.17 314 54.23
0.4461459417 1 0.17 315 54.40
0.4503225296 1 0.17 316 54.58
0.4508092793 1 0.17 317 54.75
0.454978433 1 0.17 318 54.92
0.4555158572 1 0.17 319 55.09
0.4688242447 1 0.17 320 55.27
0.4691750073 1 0.17 321 55.44
0.4708639257 1 0.17 322 55.61
0.4755290091 1 0.17 323 55.79
0.4764208257 1 0.17 324 55.96
0.4765599559 1 0.17 325 56.13
0.4775716338 1 0.17 326 56.30
0.4829153164 1 0.17 327 56.48
0.4899376177 1 0.17 328 56.65
0.4936167081 1 0.17 329 56.82
0.4958030286 1 0.17 330 56.99
0.496801434 1 0.17 331 57.17
0.4974435997 1 0.17 332 57.34
0.5029580978 1 0.17 333 57.51
0.5042235367 1 0.17 334 57.69
0.5086614721 1 0.17 335 57.86
0.5117483008 1 0.17 336 58.03
0.5118604933 1 0.17 337 58.20
0.5144204298 1 0.17 338 58.38
0.5238450034 1 0.17 339 58.55
0.5244627192 1 0.17 340 58.72
0.529043027 1 0.17 341 58.89
0.5308090863 1 0.17 342 59.07
0.5377958505 1 0.17 343 59.24
0.5390691379 1 0.17 344 59.41
0.5398382689 1 0.17 345 59.59
0.5432201452 1 0.17 346 59.76
0.5489449578 1 0.17 347 59.93
0.5495733109 1 0.17 348 60.10
0.5498225178 1 0.17 349 60.28
0.550240128 1 0.17 350 60.45
0.5570069043 1 0.17 351 60.62
0.5624008476 1 0.17 352 60.79
0.5665716453 1 0.17 353 60.97
0.5715671397 1 0.17 354 61.14
0.5729311618 1 0.17 355 61.31
0.5743015816 1 0.17 356 61.49
0.5782780119 1 0.17 357 61.66
0.5861093998 1 0.17 358 61.83
0.5880869658 1 0.17 359 62.00
0.5916744355 1 0.17 360 62.18
0.5954759042 1 0.17 361 62.35
0.5960649552 1 0.17 362 62.52
0.597696331 1 0.17 363 62.69
0.6025773705 1 0.17 364 62.87
0.603555453 1 0.17 365 63.04
0.6056463221 1 0.17 366 63.21
0.6057682246 1 0.17 367 63.39
0.6070982096 1 0.17 368 63.56
0.613041403 1 0.17 369 63.73
0.6165459869 1 0.17 370 63.90
0.6231696245 1 0.17 371 64.08
0.6249382721 1 0.17 372 64.25
0.6255584466 1 0.17 373 64.42
0.638592331 1 0.17 374 64.59
0.6391888016 1 0.17 375 64.77
0.6429391938 1 0.17 376 64.94
0.6436425348 1 0.17 377 65.11
0.6439904539 1 0.17 378 65.28
0.6450543867 1 0.17 379 65.46
0.6463292153 1 0.17 380 65.63
0.6481987605 1 0.17 381 65.80
0.6483081472 1 0.17 382 65.98
0.6539832664 1 0.17 383 66.15
0.6543265117 1 0.17 384 66.32
0.6581292482 1 0.17 385 66.49
0.660764274 1 0.17 386 66.67
0.6616832786 1 0.17 387 66.84
0.664180491 1 0.17 388 67.01
0.6647637427 1 0.17 389 67.18
0.6662178228 1 0.17 390 67.36
0.6693942853 1 0.17 391 67.53
0.6701850886 1 0.17 392 67.70
0.6722211644 1 0.17 393 67.88
0.688086017 1 0.17 394 68.05
0.6895028954 1 0.17 395 68.22
0.6912597914 1 0.17 396 68.39
0.6931891355 1 0.17 397 68.57
0.6950461259 1 0.17 398 68.74
0.6997856993 1 0.17 399 68.91
0.7026785976 1 0.17 400 69.08
0.7051014912 1 0.17 401 69.26
0.706380927 1 0.17 402 69.43
0.7092269186 1 0.17 403 69.60
0.7123675436 1 0.17 404 69.78
0.7133118204 1 0.17 405 69.95
0.7133180988 1 0.17 406 70.12
0.7162151448 1 0.17 407 70.29
0.716227625 1 0.17 408 70.47
0.7175629177 1 0.17 409 70.64
0.7175911757 1 0.17 410 70.81
0.7179956839 1 0.17 411 70.98
0.7183027814 1 0.17 412 71.16
0.7218937213 1 0.17 413 71.33
0.7258694553 2 0.35 415 71.68
0.727277912 1 0.17 416 71.85
0.7279865216 1 0.17 417 72.02
0.728905103 1 0.17 418 72.19
0.7297271306 1 0.17 419 72.37
0.7348072344 1 0.17 420 72.54
0.7364057839 1 0.17 421 72.71
0.7430898871 1 0.17 422 72.88
0.7466726669 1 0.17 423 73.06
0.7490922231 1 0.17 424 73.23
0.7503267795 1 0.17 425 73.40
0.7524087935 1 0.17 426 73.58
0.753534527 1 0.17 427 73.75
0.7563753671 1 0.17 428 73.92
0.760484633 1 0.17 429 74.09
0.7633572004 1 0.17 430 74.27
0.7710068272 1 0.17 431 74.44
0.7711953651 1 0.17 432 74.61
0.7712800026 1 0.17 433 74.78
0.7720927501 1 0.17 434 74.96
0.7735250579 1 0.17 435 75.13
0.7744997729 1 0.17 436 75.30
0.7763758662 1 0.17 437 75.47
0.778577102 1 0.17 438 75.65
0.7802457927 1 0.17 439 75.82
0.7814642266 1 0.17 440 75.99
0.7819159014 1 0.17 441 76.17
0.783035731 1 0.17 442 76.34
0.7868220513 1 0.17 443 76.51
0.7877682869 1 0.17 444 76.68
0.790139422 1 0.17 445 76.86
0.7996027782 1 0.17 446 77.03
0.7997019724 1 0.17 447 77.20
0.7999448848 1 0.17 448 77.37
0.8005930688 1 0.17 449 77.55
0.801574797 1 0.17 450 77.72
0.8018873438 1 0.17 451 77.89
0.8049675223 1 0.17 452 78.07
0.8052808375 1 0.17 453 78.24
0.8055064049 1 0.17 454 78.41
0.8061531306 1 0.17 455 78.58
0.8101060652 1 0.17 456 78.76
0.8107410897 2 0.35 458 79.10
0.8113578434 1 0.17 459 79.27
0.8139923416 1 0.17 460 79.45
0.8150120884 1 0.17 461 79.62
0.8207118213 1 0.17 462 79.79
0.8247213846 1 0.17 463 79.97
0.825237648 1 0.17 464 80.14
0.825752712 1 0.17 465 80.31
0.832320725 1 0.17 466 80.48
0.8324654683 1 0.17 467 80.66
0.8328300069 1 0.17 468 80.83
0.8343095896 1 0.17 469 81.00
0.8348801725 1 0.17 470 81.17
0.8360059101 1 0.17 471 81.35
0.8361374075 1 0.17 472 81.52
0.837669283 1 0.17 473 81.69
0.838695932 1 0.17 474 81.87
0.8389240729 1 0.17 475 82.04
0.8410379832 1 0.17 476 82.21
0.8429366959 1 0.17 477 82.38
0.8452912817 1 0.17 478 82.56
0.8468155055 1 0.17 479 82.73
0.8469399222 1 0.17 480 82.90
0.8498387864 1 0.17 481 83.07
0.8509416143 1 0.17 482 83.25
0.8522426157 1 0.17 483 83.42
0.8527525439 1 0.17 484 83.59
0.8531233748 1 0.17 485 83.77
0.8536269493 1 0.17 486 83.94
0.8583023184 1 0.17 487 84.11
0.8626964942 1 0.17 488 84.28
0.8631158431 1 0.17 489 84.46
0.8657047102 1 0.17 490 84.63
0.8658126492 1 0.17 491 84.80
0.8719158638 1 0.17 492 84.97
0.8737269415 1 0.17 493 85.15
0.8769512475 1 0.17 494 85.32
0.8782747012 1 0.17 495 85.49
0.8784368092 1 0.17 496 85.66
0.878982857 1 0.17 497 85.84
0.8811249009 1 0.17 498 86.01
0.8828232645 1 0.17 499 86.18
0.8933192372 1 0.17 500 86.36
0.8938080946 1 0.17 501 86.53
0.8964913364 1 0.17 502 86.70
0.8970930584 1 0.17 503 86.87
0.8986459499 1 0.17 504 87.05
0.8988713034 1 0.17 505 87.22
0.9009845868 1 0.17 506 87.39
0.9011225914 1 0.17 507 87.56
0.9017223374 1 0.17 508 87.74
0.9053179757 1 0.17 509 87.91
0.9053590882 1 0.17 510 88.08
0.9067006896 1 0.17 511 88.26
0.9090119732 1 0.17 512 88.43
0.9090912969 1 0.17 513 88.60
0.9110096675 1 0.17 514 88.77
0.9166383548 1 0.17 515 88.95
0.9177983904 1 0.17 516 89.12
0.9178345755 1 0.17 517 89.29
0.9186434321 1 0.17 518 89.46
0.9201529788 1 0.17 519 89.64
0.9207502952 1 0.17 520 89.81
0.9213030954 1 0.17 521 89.98
0.921347975 1 0.17 522 90.16
0.9232415527 1 0.17 523 90.33
0.9256352862 1 0.17 524 90.50
0.9285652754 1 0.17 525 90.67
0.9301062942 1 0.17 526 90.85
0.9319029145 1 0.17 527 91.02
0.9348508241 1 0.17 528 91.19
0.936243414 1 0.17 529 91.36
0.9369667466 1 0.17 530 91.54
0.9383680869 1 0.17 531 91.71
0.9389820137 1 0.17 532 91.88
0.9399721805 1 0.17 533 92.06
0.9402858329 1 0.17 534 92.23
0.9413664841 1 0.17 535 92.40
0.9414766082 1 0.17 536 92.57
0.9458674507 1 0.17 537 92.75
0.9461520643 1 0.17 538 92.92
0.9506664116 1 0.17 539 93.09
0.9512411027 1 0.17 540 93.26
0.9515923985 1 0.17 541 93.44
0.9537773889 1 0.17 542 93.61
0.9539592674 1 0.17 543 93.78
0.9558872661 1 0.17 544 93.96
0.9576603679 1 0.17 545 94.13
0.9605239875 1 0.17 546 94.30
0.9621541744 1 0.17 547 94.47
0.9632353618 1 0.17 548 94.65
0.9653921072 1 0.17 549 94.82
0.9671720065 1 0.17 550 94.99
0.968970077 1 0.17 551 95.16
0.9690123974 1 0.17 552 95.34
0.9694403851 1 0.17 553 95.51
0.9698454406 1 0.17 554 95.68
0.9705104883 1 0.17 555 95.85
0.9727158109 1 0.17 556 96.03
0.9742544506 1 0.17 557 96.20
0.9742571778 1 0.17 558 96.37
0.9758923656 1 0.17 559 96.55
0.9767183806 1 0.17 560 96.72
0.9771104226 1 0.17 561 96.89
0.9775728229 1 0.17 562 97.06
0.9778949842 1 0.17 563 97.24
0.9791184112 1 0.17 564 97.41
0.9807422829 1 0.17 565 97.58
0.9811327315 1 0.17 566 97.75
0.9818557765 1 0.17 567 97.93
0.983562236 1 0.17 568 98.10
0.9840414949 1 0.17 569 98.27
0.9858182616 1 0.17 570 98.45
0.9858826099 1 0.17 571 98.62
0.9859389401 1 0.17 572 98.79
0.9862055246 1 0.17 573 98.96
0.9869156871 1 0.17 574 99.14
0.9907709778 1 0.17 575 99.31
0.9914190736 1 0.17 576 99.48
0.9930273855 1 0.17 577 99.65
0.9934051485 1 0.17 578 99.83
0.9949748443 1 0.17 579 100.00

Prediction of Performance in First-year Calculus

How good is the prediction?

The FREQ Procedure

The Freq Procedure

Table Prediction * passed

Cross-Tabular Freq Table

Frequency
Percent
Row Pct
Table of Prediction by passed
Prediction passed(Passed the course)
No Yes Total
Not Pass
207
35.75
71.13
84
14.51
28.87
291
50.26
 
Pass
88
15.20
30.56
200
34.54
69.44
288
49.74
 
Total
295
50.95
284
49.05
579
100.00

Prediction of Performance in First-year Calculus

How good is the prediction?

The IML Procedure

PercentCorrect

PercentCorrect
70.29

Prediction of Performance in First-year Calculus

How good is the prediction?

The FREQ Procedure

The Freq Procedure

Table pihat * passed

Cross-Tabular Freq Table

Frequency
Table of pihat by passed
pihat passed(Passed the course)
No Yes Total
0.0528054553
1
0
1
0.0695255698
0
1
1
0.088749503
1
0
1
0.1085440445
1
0
1
0.1250776932
1
0
1
0.1283463148
1
0
1
0.1355456517
0
1
1
0.1405583777
1
0
1
0.1420508183
1
0
1
0.1438825787
1
0
1
0.1438912015
1
0
1
0.1555970706
1
0
1
0.1575143585
1
0
1
0.1580844937
1
0
1
0.1583895172
1
0
1
0.1622406718
1
0
1
0.166762232
0
1
1
0.1776588785
1
0
1
0.1777319384
1
0
1
0.1810277301
2
0
2
0.1859566558
1
0
1
0.1876519445
1
0
1
0.1890185534
0
1
1
0.1909884869
1
0
1
0.1922959694
0
1
1
0.1946286643
0
1
1
0.1949768816
1
0
1
0.1995179343
1
0
1
0.2028623021
1
0
1
0.2045102282
0
1
1
0.2064251479
1
0
1
0.2065185374
1
0
1
0.2095235039
1
0
1
0.2172184733
1
0
1
0.2217512405
0
1
1
0.2230136157
1
0
1
0.2245665611
1
0
1
0.2251522009
0
1
1
0.2254646356
1
0
1
0.2287910865
0
1
1
0.2296125937
1
0
1
0.2375769526
2
0
2
0.2415116
1
0
1
0.2451201683
1
0
1
0.2453182111
1
0
1
0.2462989058
0
1
1
0.247416277
1
0
1
0.2480293888
0
1
1
0.248456745
0
1
1
0.2499554318
1
0
1
0.2534303278
1
0
1
0.2622029431
1
0
1
0.2665573481
1
0
1
0.2722870164
1
0
1
0.2786958197
0
1
1
0.2805691893
1
0
1
0.2807569482
1
0
1
0.2808296496
0
1
1
0.2816968908
1
0
1
0.2833489225
0
1
1
0.2842656277
1
0
1
0.2851107366
1
0
1
0.2911098274
0
1
1
0.2913905634
1
0
1
0.2930327427
1
1
2
0.2980815756
0
1
1
0.3018507954
1
0
1
0.3025593424
0
1
1
0.3029371966
1
0
1
0.3046164753
1
0
1
0.304949143
1
0
1
0.3128432856
0
1
1
0.3161114769
0
1
1
0.3167928538
0
1
1
0.3175053543
1
0
1
0.3178781878
2
0
2
0.320971667
1
0
1
0.323001957
1
0
1
0.3232359801
1
0
1
0.3242386856
0
1
1
0.329921527
1
0
1
0.3301426379
0
1
1
0.3317900569
1
0
1
0.3335527429
1
0
1
0.3353356959
1
0
1
0.3370116319
1
0
1
0.3417264525
0
1
1
0.348
131
55
186
0.3499952699
0
1
1
0.3543665725
1
0
1
0.3546297261
1
0
1
0.3595564027
1
0
1
0.3606924457
1
0
1
0.3634687939
1
0
1
0.3752966775
1
0
1
0.3759674406
1
0
1
0.3810155413
1
0
1
0.3836675706
1
0
1
0.3865968425
0
1
1
0.389857797
1
0
1
0.3906597114
1
0
1
0.3999772262
0
1
1
0.408139968
1
0
1
0.4194333441
0
1
1
0.4220313568
1
0
1
0.4256821617
1
0
1
0.4309711464
1
0
1
0.4317781522
1
0
1
0.434218524
1
0
1
0.4355726685
1
0
1
0.4357841104
0
1
1
0.4363988996
1
0
1
0.4394264752
1
0
1
0.4417013646
1
0
1
0.4443317439
1
0
1
0.4493864485
0
1
1
0.4501313506
0
1
1
0.4544541065
1
0
1
0.4551806249
0
1
1
0.4596529177
1
0
1
0.4608453325
1
0
1
0.4615013526
1
0
1
0.4661269636
0
1
1
0.4723432579
1
0
1
0.4790148349
1
0
1
0.4814610027
1
0
1
0.485641449
1
0
1
0.4868380415
1
1
2
0.4870878715
0
1
1
0.4912883817
1
0
1
0.4932004192
1
0
1
0.4944527276
0
1
1
0.4965625542
1
0
1
0.4971525308
0
1
1
0.4972775269
1
0
1
0.4983150064
1
0
1
0.5066471084
0
1
1
0.5169934524
1
0
1
0.5186912859
1
0
1
0.5194401953
0
1
1
0.5221704529
0
1
1
0.5231708916
0
1
1
0.5249193369
0
1
1
0.525151254
1
0
1
0.525774633
1
0
1
0.5265774265
0
1
1
0.529126985
0
1
1
0.5296426976
1
0
1
0.5305344563
1
0
1
0.533223474
0
1
1
0.5377057787
0
1
1
0.5427702207
1
0
1
0.5517366612
0
1
1
0.5541764767
0
1
1
0.5598590404
0
1
1
0.560070948
0
1
1
0.5607755061
1
0
1
0.5639257336
1
0
1
0.5656660062
0
1
1
0.5675985619
0
1
1
0.5679151395
1
1
2
0.574256718
0
1
1
0.5787270526
0
1
1
0.5802257049
0
1
1
0.5929562632
1
0
1
0.596369359
0
1
1
0.5977983716
1
0
1
0.5988462219
1
0
1
0.5991560783
1
0
1
0.6035454639
1
1
2
0.6039736926
0
1
1
0.608020725
1
0
1
0.6142920525
0
1
1
0.6143773464
1
0
1
0.620744631
1
0
1
0.6220244759
0
1
1
0.6223441725
1
0
1
0.6260691638
0
1
1
0.6279751634
0
1
1
0.6282928345
1
0
1
0.6292941725
1
0
1
0.6324426073
1
0
1
0.6374330257
0
1
1
0.638869311
0
1
1
0.6400566431
0
1
1
0.6405840534
0
1
1
0.6458850571
0
1
1
0.6462943546
0
1
1
0.6496065031
0
1
1
0.649931927
0
1
1
0.6586198852
1
0
1
0.6636828977
0
1
1
0.6639863929
1
0
1
0.6673447255
0
1
1
0.6693418823
0
1
1
0.6694370444
0
1
1
0.6721223782
1
0
1
0.6778175169
1
0
1
0.6782715812
0
1
1
0.6793943769
0
1
1
0.6820827812
0
1
1
0.685315766
1
0
1
0.685994692
1
0
1
0.6897262912
0
1
1
0.690842284
0
1
1
0.6926717868
0
1
1
0.6936926531
1
0
1
0.6992102567
0
1
1
0.7000529466
0
1
1
0.7011625577
0
1
1
0.7028089723
0
1
1
0.7031075677
1
0
1
0.7058473197
0
1
1
0.7080846943
0
1
1
0.7087642739
1
0
1
0.7089850913
0
1
1
0.7097376035
1
0
1
0.7118549152
0
2
2
0.7152173042
0
1
1
0.7163524809
0
1
1
0.722258042
0
1
1
0.7253187741
0
1
1
0.7278615683
1
0
1
0.7287816596
1
0
1
0.7311647358
0
1
1
0.7329320743
0
1
1
0.7370980939
0
1
1
0.7406577452
0
1
1
0.7416457504
0
1
1
0.7426312994
0
1
1
0.7433683702
0
1
1
0.7456812825
0
1
1
0.7471840903
0
1
1
0.7478182671
1
0
1
0.7527363765
0
1
1
0.7541185362
0
1
1
0.7542112363
1
0
1
0.7584426011
1
0
1
0.7589003236
1
0
1
0.7606761403
1
0
1
0.7618592605
0
1
1
0.7643161096
0
1
1
0.7648686814
0
1
1
0.7677767844
0
1
1
0.77127772
1
0
1
0.77268768
0
1
1
0.7739043242
0
1
1
0.7742033938
1
0
1
0.7746418711
1
0
1
0.775764125
0
1
1
0.7762855557
1
0
1
0.7793633263
1
0
1
0.7813002954
1
0
1
0.7813737607
0
1
1
0.7822641772
0
1
1
0.7845463758
1
0
1
0.7871699145
1
0
1
0.787397671
0
1
1
0.7921592033
0
1
1
0.7925705102
0
1
1
0.7974544633
0
1
1
0.7988721267
0
1
1
0.8012634952
0
1
1
0.8017074023
0
1
1
0.8029776965
1
0
1
0.8037343965
0
1
1
0.8053540928
0
1
1
0.80548887
0
1
1
0.8073201029
0
1
1
0.8084856207
0
1
1
0.8090717655
0
1
1
0.8130938621
1
0
1
0.8167826691
0
1
1
0.8187438424
0
1
1
0.8196443808
0
1
1
0.8257570482
0
1
1
0.8266616475
0
1
1
0.8272855119
0
1
1
0.829106775
1
0
1
0.8301583594
0
1
1
0.832046336
0
1
1
0.8333016764
0
1
1
0.8356333037
0
1
1
0.8383754529
0
1
1
0.8385109091
0
1
1
0.8405250635
0
1
1
0.8405920734
1
0
1
0.8412141733
0
1
1
0.842166891
0
1
1
0.8427177336
1
0
1
0.8429164482
0
1
1
0.8442570345
0
1
1
0.8456248314
0
1
1
0.8524805045
0
1
1
0.8538160485
1
0
1
0.8553272687
0
1
1
0.8554064459
0
1
1
0.8599723097
0
1
1
0.8617795951
0
1
1
0.8635507597
0
1
1
0.8641141872
0
1
1
0.8652852918
1
0
1
0.8669942518
0
1
1
0.8692461734
0
1
1
0.8719610231
1
0
1
0.8721049761
0
1
1
0.8738889015
0
1
1
0.8765372813
0
1
1
0.8782530443
0
1
1
0.8798118874
1
0
1
0.8810917944
0
1
1
0.8874655194
0
1
1
0.8879927523
0
1
1
0.892252631
0
1
1
0.8929791923
0
1
1
0.8948915628
0
1
1
0.896594913
0
1
1
0.8970381629
0
1
1
0.8998572976
0
1
1
0.9011964737
0
1
1
0.90420538
0
1
1
0.9049339462
0
1
1
0.905290365
0
1
1
0.9065703596
0
1
1
0.9066668735
1
0
1
0.9076430313
0
1
1
0.9096731006
1
0
1
0.9105565969
0
1
1
0.911391923
0
1
1
0.9116169756
0
1
1
0.9143496706
0
1
1
0.9146741168
0
1
1
0.9152304893
0
1
1
0.9158776115
0
1
1
0.9166677917
1
1
2
0.9172616845
0
1
1
0.9179481844
0
1
1
0.9183247449
0
1
1
0.9191043789
0
1
1
0.9205914282
0
1
1
0.9210398494
0
1
1
0.9217445753
1
0
1
0.9239242125
1
0
1
0.9260089665
0
1
1
0.9265804075
0
1
1
0.9314966535
0
1
1
0.9315878465
0
1
1
0.9327142244
0
1
1
0.9327769556
0
1
1
0.9328577988
0
1
1
0.9335000611
0
1
1
0.9342024151
0
1
1
0.9383904946
0
1
1
0.9414472356
1
0
1
0.9421608428
0
1
1
0.943058291
1
0
1
0.9440753113
0
1
1
0.9456403414
0
1
1
0.9461454798
0
1
1
0.9463565486
0
1
1
0.947002651
0
1
1
0.9485390651
0
1
1
0.9497577192
0
1
1
0.951519568
0
1
1
0.9559234525
0
1
1
0.9619879972
0
1
1
0.9634031573
0
1
1
0.9701466447
0
1
1
0.9712671363
0
1
1
0.9773195422
0
1
1
0.9774728661
0
1
1
0.9777484335
0
1
1
0.9781050273
0
1
1
0.9798216437
0
1
1
0.9834020688
0
1
1
0.983818296
0
1
1
0.9851785874
0
1
1
0.9855570413
0
1
1
0.9886795563
0
1
1
0.9888614261
0
1
1
0.9893122312
0
1
1
0.9925392455
0
1
1
0.992595167
0
1
1
0.993473198
0
1
1
0.9948070145
0
1
1
Total
295
284
579