Question: Background: A bank wishes to develop a machine learning algorithm to improve its loan approval process. The bank has tracked the characteristicsdemographic and behavioralof 1,000
Background:
A bank wishes to develop a machine learning algorithm to improve its loan approval process. The bank has tracked the characteristicsdemographic and behavioralof 1,000 of its past customers, The bank would like to develop a classification model to represent the credit risks (good versus bad) of loan applicants. This model can then be applied to predict the credit risk of loan applicants in the future.
Predicting Credit Risk Problem
The bank has trained 11 different machine learning algorithms on this data set so that the bank can use loan applicant characteristics to predict whether a loan applicant with a given set of characteristics will be a good credit risk or not.
For this purpose, the analytics manager, Joanne, at the bank partitioned the 1,000 past customers into two groups: a training sample (800 past customers) and a validation sample (200 past customers in the table below). She used Actual Class as the output variable and all other variables input variables, and then she built 11 supervised machine learning algorithms using the data from the training sample.
Joanne then tested the efficacy of these 11 trained algorithms on the validation sample.
In the data table, you are given the results of Joanne's validation tests using these 11 algorithms on the validation sample. Each row in this table corresponds to a different customer. In column A (Actual Class), it is reported whether the customer is a good or bad credit risk (i.e., 0 = bad credit risk, 1 = good credit risk). In the remaining columns B to L, Joanne reports the predictions yielded by the 11 machine learning algorithms.
For example, the logistic regression algorithm (column C) predicts that there is a 57.66 percent chance that customer 1 is a good credit risk, while the boosted trees algorithm (column F) predicts that there is a 66.03 percent chance that customer 1 is a good risk. As another example, the logistic regression algorithm predicts a 12.95 percent chance that customer 3 is a good credit risk, while the boosted trees algorithm predicts a 38.12 percent chance.
| A | B | C | D | E | F | G | H | I | J | K | L | |
| Customer | Actual Class | p(DA) | p(LR) | p(kNN) | p(CT-Single) | p(CT-Boosting) | p(CT-Bagging) | p(CT-Random) | p(NB) | p(NN-Boosting) | p(NN-Bagging) | p(NN-Manual) |
| 1 | 1 | 0.54644211 | 0.576677264 | 1 | 0.709677419 | 0.66032089 | 0.66 | 0.78 | 0.279979928 | 0.500227536 | 0.8 | 0.295912775 |
| 2 | 1 | 0.647476351 | 0.636636942 | 1 | 0.853932584 | 0.643805743 | 1 | 0.9 | 0.787618812 | 0.746186009 | 0.72 | 0.677766144 |
| 3 | 0 | 0.117100891 | 0.129587792 | 0 | 0.37654321 | 0.381253309 | 0.1 | 0.4 | 0.081929129 | 0.30456647 | 0.12 | 0.096338169 |
| 4 | 1 | 0.91677927 | 0.901788998 | 1 | 0.853932584 | 0.514601361 | 0.96 | 0.96 | 0.710312836 | 0.739293776 | 1 | 0.529861638 |
| 5 | 1 | 0.941682966 | 0.938652125 | 1 | 0.853932584 | 0.601394894 | 1 | 0.98 | 0.936283767 | 0.83633934 | 1 | 0.983521365 |
| 6 | 1 | 0.88557433 | 0.88021933 | 1 | 0.853932584 | 0.601383151 | 0.94 | 0.86 | 0.933619205 | 0.783965275 | 0.9 | 0.962927153 |
| 7 | 0 | 0.121465689 | 0.122398517 | 1 | 0.37654321 | 0.414555506 | 0.18 | 0.46 | 0.189932482 | 0.264870189 | 0.02 | 0.086591973 |
| 8 | 1 | 0.630053056 | 0.59662642 | 0 | 0.853932584 | 0.418532162 | 0.88 | 0.54 | 0.884278633 | 0.477433714 | 0.44 | 0.841567078 |
| 9 | 1 | 0.423095124 | 0.439112471 | 1 | 0.37654321 | 0.460833918 | 0.3 | 0.64 | 0.351875729 | 0.292328652 | 0.32 | 0.650293109 |
| 10 | 1 | 0.832536544 | 0.817273972 | 1 | 0.853932584 | 0.507728605 | 0.98 | 1 | 0.901253074 | 0.654063168 | 0.78 | 0.545134569 |
| 11 | 1 | 0.938165671 | 0.93388581 | 1 | 0.715517241 | 0.624934391 | 0.94 | 1 | 0.939490493 | 0.823024346 | 1 | 0.980545302 |
| 12 | 1 | 0.951805117 | 0.949305466 | 1 | 0.853932584 | 0.634280012 | 0.98 | 0.96 | 0.962795389 | 0.897148609 | 1 | 0.966365884 |
| 13 | 1 | 0.873148241 | 0.849180823 | 1 | 0.853932584 | 0.521988104 | 0.98 | 0.98 | 0.917775019 | 0.701139995 | 0.92 | 0.913150252 |
| 14 | 0 | 0.443681272 | 0.482513911 | 1 | 0.37654321 | 0.495475095 | 0.28 | 0.44 | 0.100687365 | 0.417207477 | 0.2 | 0.124997251 |
| 15 | 0 | 0.235256475 | 0.209603036 | 0 | 0.37654321 | 0.49676042 | 0.24 | 0.44 | 0.140326569 | 0.375614775 | 0.32 | 0.129418266 |
| 16 | 0 | 0.58984257 | 0.580216535 | 0 | 0.715517241 | 0.575711164 | 0.52 | 0.68 | 0.342941602 | 0.380826244 | 0.4 | 0.764070239 |
| 17 | 1 | 0.748243 | 0.742009926 | 1 | 0.853932584 | 0.52013601 | 0.98 | 0.96 | 0.881074162 | 0.717110382 | 0.7 | 0.716466763 |
| 18 | 1 | 0.904962159 | 0.89404812 | 1 | 0.853932584 | 0.652524123 | 1 | 0.98 | 0.92398185 | 0.696146408 | 0.98 | 0.937351528 |
| 19 | 1 | 0.928284197 | 0.9566304 | 1 | 0.715517241 | 0.689151837 | 1 | 0.96 | 0.959348004 | 0.919816639 | 1 | 0.997943049 |
| 20 | 1 | 0.965456181 | 0.96460305 | 1 | 0.853932584 | 0.762106653 | 1 | 1 | 0.965235123 | 0.875644578 | 1 | 0.991872003 |
| 21 | 1 | 0.987114245 | 0.986937253 | 1 | 0.853932584 | 0.697607323 | 0.98 | 1 | 0.99357902 | 0.962265875 | 1 | 0.999764084 |
| 22 | 0 | 0.817096446 | 0.815654585 | 0 | 0.853932584 | 0.599433865 | 0.98 | 0.84 | 0.870804764 | 0.567444539 | 0.84 | 0.361120755 |
| 23 | 0 | 0.7713926 | 0.751585194 | 0 | 0.715517241 | 0.612824278 | 0.66 | 0.76 | 0.696381877 | 0.800345303 | 0.86 | 0.942326638 |
| 24 | 1 | 0.970731684 | 0.97353606 | 1 | 0.853932584 | 0.728419993 | 1 | 0.96 | 0.984641382 | 0.840820387 | 1 | 0.997168171 |
| 25 | 0 | 0.212559623 | 0.221232594 | 1 | 0.263157895 | 0.396216763 | 0.32 | 0.34 | 0.192546814 | 0.26080019 | 0.06 | 0.054127074 |
| 26 | 1 | 0.978720602 | 0.985085614 | 1 | 0.853932584 | 0.646640121 | 1 | 1 | 0.994941676 | 0.856339084 | 1 | 0.990427062 |
| 27 | 1 | 0.924619337 | 0.91478748 | 0 | 0.853932584 | 0.676710051 | 0.96 | 0.92 | 0.880298683 | 0.761355542 | 0.96 | 0.700786384 |
| 28 | 0 | 0.436739898 | 0.479216891 | 1 | 0.715517241 | 0.617937511 | 0.78 | 0.8 | 0.512514459 | 0.539398742 | 0.44 | 0.714481999 |
| 29 | 1 | 0.58041862 | 0.576999489 | 1 | 0.715517241 | 0.631802131 | 0.74 | 0.88 | 0.304513323 | 0.38094022 | 0.46 | 0.095347941 |
| 30 | 1 | 0.944603867 | 0.948046174 | 1 | 0.853932584 | 0.604235792 | 0.98 | 0.94 | 0.927663289 | 0.816917331 | 1 | 0.976487067 |
| 31 | 1 | 0.990253663 | 0.989921974 | 1 | 0.853932584 | 0.746829274 | 1 | 1 | 0.990027443 | 0.958941528 | 1 | 0.999710023 |
| 32 | 1 | 0.856938079 | 0.846461964 | 1 | 0.853932584 | 0.660227184 | 1 | 0.98 | 0.874039274 | 0.695596096 | 0.74 | 0.94309814 |
| 33 | 0 | 0.765939003 | 0.744554462 | 1 | 0.37654321 | 0.473377971 | 0.44 | 0.76 | 0.405226596 | 0.669400218 | 0.9 | 0.518204668 |
| 34 | 1 | 0.6946397 | 0.704524522 | 0 | 0.853932584 | 0.473858291 | 0.62 | 0.62 | 0.862902005 | 0.690680841 | 0.84 | 0.938759366 |
| 35 | 1 | 0.815397033 | 0.827949128 | 1 | 0.709677419 | 0.617437845 | 0.7 | 0.74 | 0.788909736 | 0.746011099 | 0.76 | 0.842911792 |
| 36 | 1 | 0.946326743 | 0.947978108 | 1 | 0.853932584 | 0.517552471 | 1 | 0.96 | 0.769243764 | 0.88202398 | 1 | 0.990971989 |
| 37 | 1 | 0.11055805 | 0.139719528 | 0 | 0.37654321 | 0.510601517 | 0.4 | 0.32 | 0.169611682 | 0.40275359 | 0.16 | 0.106390635 |
| 38 | 1 | 0.97181399 | 0.963015494 | 1 | 0.853932584 | 0.524116892 | 0.78 | 0.94 | 0.921088712 | 0.661087509 | 1 | 0.640780161 |
| 39 | 1 | 0.984365041 | 0.988520514 | 1 | 0.853932584 | 0.637108013 | 0.86 | 0.98 | 0.974339622 | 0.874151121 | 0.98 | 0.878749124 |
| 40 | 1 | 0.943221927 | 0.942148198 | 1 | 0.853932584 | 0.60123843 | 1 | 0.94 | 0.921454835 | 0.761879429 | 0.94 | 0.901972577 |
| 41 | 1 | 0.96625105 | 0.968960826 | 1 | 0.853932584 | 0.616734614 | 0.98 | 0.96 | 0.957388053 | 0.960049824 | 1 | 0.970999548 |
| 42 | 1 | 0.969170259 | 0.970085127 | 1 | 0.853932584 | 0.666187434 | 1 | 1 | 0.996674149 | 0.957001742 | 1 | 0.999824775 |
| 43 | 0 | 0.675955158 | 0.662336925 | 1 | 0.853932584 | 0.579730207 | 0.84 | 0.72 | 0.782090723 | 0.612279054 | 0.86 | 0.924624781 |
| 44 | 0 | 0.312259735 | 0.376148757 | 0 | 0.37654321 | 0.457197851 | 0.14 | 0.36 | 0.381715703 | 0.286921699 | 0.08 | 0.270021211 |
| 45 | 1 | 0.878401869 | 0.867966336 | 0 | 0.853932584 | 0.4262023 | 0.84 | 0.86 | 0.741499684 | 0.577942678 | 0.78 | 0.556180921 |
| 46 | 0 | 0.106627842 | 0.119701675 | 0 | 0.37654321 | 0.452881276 | 0.12 | 0.32 | 0.106464901 | 0.285745225 | 0 | 0.321012569 |
| 47 | 1 | 0.700841252 | 0.667916721 | 1 | 0.715517241 | 0.564619835 | 0.76 | 0.9 | 0.667842392 | 0.542730331 | 0.84 | 0.85968054 |
| 48 | 1 | 0.951048392 | 0.947582794 | 1 | 0.853932584 | 0.67125989 | 0.98 | 1 | 0.991012092 | 0.781876985 | 0.98 | 0.988058929 |
| 49 | 1 | 0.828973724 | 0.795623389 | 0 | 0.853932584 | 0.596889045 | 1 | 0.98 | 0.726708121 | 0.745241962 | 0.94 | 0.961784887 |
| 50 | 1 | 0.985208337 | 0.986652121 | 1 | 0.853932584 | 0.742764709 | 0.98 | 0.96 | 0.975975964 | 0.855365859 | 1 | 0.994808016 |
| 51 | 1 | 0.903250633 | 0.897856983 | 1 | 0.853932584 | 0.669279346 | 0.84 | 0.88 | 0.537096935 | 0.764244025 | 0.78 | 0.989442321 |
| 52 | 1 | 0.787970685 | 0.794870761 | 1 | 0.715517241 | 0.580180885 | 0.92 | 0.9 | 0.947074711 | 0.666649468 | 0.84 | 0.826142846 |
| 53 | 1 | 0.521972115 | 0.491825624 | 1 | 0.715517241 | 0.530028704 | 0.7 | 0.66 | 0.71577088 | 0.438898897 | 0.28 | 0.035863326 |
| 54 | 1 | 0.867472663 | 0.871237596 | 1 | 0.853932584 | 0.455201122 | 0.88 | 0.9 | 0.872865304 | 0.798590318 | 0.94 | 0.967988331 |
| 55 | 1 | 0.984846719 | 0.986490298 | 0 | 0.853932584 | 0.624186781 | 1 | 0.96 | 0.991405966 | 0.939946909 | 1 | 0.999353506 |
| 56 | 1 | 0.964774446 | 0.961401521 | 1 | 0.853932584 | 0.733644472 | 1 | 1 | 0.989418902 | 0.897357413 | 1 | 0.995010317 |
| 57 | 1 | 0.956054999 | 0.973928813 | 1 | 0.853932584 | 0.716008879 | 1 | 0.94 | 0.981704394 | 0.859885215 | 1 | 0.999618998 |
| 58 | 1 | 0.983451855 | 0.981422349 | 0 | 0.853932584 | 0.672863491 | 0.98 | 1 | 0.994238223 | 0.937810767 | 1 | 0.99656726 |
| 59 | 0 | 0.479703182 | 0.453879623 | 1 | 0.715517241 | 0.578834017 | 0.8 | 0.88 | 0.335229024 | 0.482468853 | 0.46 | 0.419125346 |
| 60 | 1 | 0.939049266 | 0.945122708 | 1 | 0.853932584 | 0.59282116 | 0.94 | 0.72 | 0.97891774 | 0.899526415 | 1 | 0.992782437 |
| 61 | 0 | 0.959626012 | 0.97226327 | 0 | 0.715517241 | 0.673843408 | 0.4 | 0.88 | 0.686914103 | 0.883611473 | 1 | 0.956083625 |
| 62 | 0 | 0.408556569 | 0.502713181 | 1 | 0.709677419 | 0.639071358 | 0.52 | 0.62 | 0.387584643 | 0.614980248 | 0.5 | 0.813981289 |
| 63 | 0 | 0.247042873 | 0.266422275 | 1 | 0.37654321 | 0.356713425 | 0.32 | 0.44 | 0.413779993 | 0.459409095 | 0.34 | 0.285626254 |
| 64 | 1 | 0.775544182 | 0.749762504 | 1 | 0.715517241 | 0.614929625 | 0.72 | 0.9 | 0.634353337 | 0.580573986 | 0.88 | 0.955041284 |
| 65 | 1 | 0.900321142 | 0.912875948 | 1 | 0.853932584 | 0.583985479 | 0.94 | 0.7 | 0.798705161 | 0.823999811 | 0.96 | 0.980723911 |
| 66 | 1 | 0.916756823 | 0.924987095 | 1 | 0.37654321 | 0.68061451 | 0.58 | 0.8 | 0.709210591 | 0.874444408 | 0.96 | 0.901633962 |
| 67 | 0 | 0.573821539 | 0.573714281 | 0 | 0.37654321 | 0.52544779 | 0.44 | 0.66 | 0.519857418 | 0.42156987 | 0.42 | 0.745703136 |
| 68 | 1 | 0.776488392 | 0.763082097 | 1 | 0.715517241 | 0.588289647 | 0.48 | 0.84 | 0.752911572 | 0.494583455 | 0.84 | 0.928273364 |
| 69 | 1 | 0.732829678 | 0.700574688 | 1 | 0.853932584 | 0.557900953 | 0.98 | 0.78 | 0.740772752 | 0.734295237 | 0.82 | 0.881012313 |
| 70 | 1 | 0.918428243 | 0.92206372 | 0 | 0.853932584 | 0.498949733 | 0.72 | 0.92 | 0.981486403 | 0.603208026 | 0.84 | 0.9321958 |
| 71 | 1 | 0.87368293 | 0.858553132 | 1 | 0.853932584 | 0.62077136 | 0.98 | 0.92 | 0.851521566 | 0.669356446 | 0.86 | 0.951631485 |
| 72 | 1 | 0.876138461 | 0.860349783 | 0 | 0.715517241 | 0.692644318 | 0.98 | 0.92 | 0.8977135 | 0.778812386 | 0.88 | 0.903499137 |
| 73 | 1 | 0.537161074 | 0.547849646 | 1 | 0.853932584 | 0.5312174 | 0.84 | 0.72 | 0.64524604 | 0.477066154 | 0.4 | 0.212739183 |
| 74 | 1 | 0.862472606 | 0.827180779 | 1 | 0.715517241 | 0.571131051 | 0.7 | 0.88 | 0.933892627 | 0.765691782 | 0.98 | 0.691410325 |
| 75 | 0 | 0.20464521 | 0.196073884 | 0 | 0.715517241 | 0.418759851 | 0.34 | 0.56 | 0.094850449 | 0.219532208 | 0.14 | 0.037866485 |
| 76 | 0 | 0.95678755 | 0.945378728 | 0 | 0.853932584 | 0.521065705 | 1 | 0.96 | 0.972002488 | 0.691095847 | 0.98 | 0.876184456 |
| 77 | 1 | 0.964959309 | 0.963961129 | 0 | 0.715517241 | 0.517367523 | 0.62 | 0.92 | 0.98106078 | 0.901935529 | 0.96 | 0.988089604 |
| 78 | 1 | 0.93480622 | 0.919519497 | 0 | 0.853932584 | 0.65130153 | 1 | 0.98 | 0.946458047 | 0.647248503 | 1 | 0.968385822 |
| 79 | 1 | 0.350339264 | 0.361101807 | 1 | 0.37654321 | 0.43188361 | 0.36 | 0.52 | 0.172463989 | 0.482519848 | 0.3 | 0.146822453 |
| 80 | 1 | 0.351205027 | 0.396746789 | 1 | 0.709677419 | 0.520206817 | 0.4 | 0.3 | 0.38172674 | 0.476421573 | 0.32 | 0.017008454 |
| 81 | 1 | 0.924729463 | 0.9196268 | 1 | 0.853932584 | 0.641623277 | 0.98 | 0.94 | 0.920274415 | 0.760488907 | 1 | 0.942414486 |
| 82 | 1 | 0.911337526 | 0.904088406 | 1 | 0.853932584 | 0.649382352 | 0.9 | 0.96 | 0.901162038 | 0.800567076 | 1 | 0.855118998 |
| 83 | 0 | 0.809083646 | 0.846212083 | 1 | 0.853932584 | 0.60790796 | 0.88 | 0.9 | 0.68393418 | 0.699728537 | 0.96 | 0.54314937 |
| 84 | 0 | 0.238409973 | 0.303234855 | 0 | 0.709677419 | 0.544459385 | 0.46 | 0.32 | 0.665513185 | 0.341096767 | 0.24 | 0.175154278 |
| 85 | 1 | 0.518405713 | 0.54407636 | 1 | 0.37654321 | 0.448217309 | 0.26 | 0.5 | 0.841108745 | 0.76489749 | 0.5 | 0.104313883 |
| 86 | 1 | 0.602578756 | 0.595488508 | 1 | 0.853932584 | 0.482837774 | 0.82 | 0.58 | 0.344349051 | 0.716179302 | 0.78 | 0.972331215 |
| 87 | 1 | 0.787539516 | 0.797048955 | 1 | 0.853932584 | 0.54228526 | 0.98 | 0.84 | 0.732170543 | 0.476030355 | 0.62 | 0.170929471 |
| 88 | 1 | 0.991778366 | 0.994864603 | 0 | 0.853932584 | 0.746626821 | 1 | 1 | 0.995807414 | 0.940977611 | 1 | 0.999986295 |
| 89 | 0 | 0.578863326 | 0.601366184 | 1 | 0.715517241 | 0.629492403 | 0.86 | 0.78 | 0.326657839 | 0.625687458 | 0.54 | 0.900984639 |
| 90 | 0 | 0.246470395 | 0.271120368 | 1 | 0.37654321 | 0.573932812 | 0.3 | 0.54 | 0.199127153 | 0.480286401 | 0.46 | 0.460086544 |
| 91 | 1 | 0.423407895 | 0.474695053 | 1 | 0.37654321 | 0.488161099 | 0.24 | 0.34 | 0.067438531 | 0.559629002 | 0.54 | 0.899260581 |
| 92 | 1 | 0.96674429 | 0.960252498 | 1 | 0.853932584 | 0.569998767 | 0.98 | 1 | 0.90879853 | 0.825009361 | 1 | 0.9978494 |
| 93 | 1 | 0.770399758 | 0.731257579 | 1 | 0.853932584 | 0.597836579 | 1 | 0.96 | 0.959624122 | 0.697756958 | 0.84 | 0.431096231 |
| 94 | 0 | 0.393168169 | 0.382743023 | 1 | 0.715517241 | 0.562132858 | 0.96 | 0.8 | 0.487712869 | 0.477693518 | 0.3 | 0.107933974 |
| 95 | 0 | 0.288920013 | 0.308928414 | 0 | 0.37654321 | 0.388074847 | 0.08 | 0.36 | 0.082659951 | 0.340312911 | 0.14 | 0.060593542 |
| 96 | 1 | 0.933090586 | 0.938576287 | 1 | 0.853932584 | 0.619494527 | 1 | 1 | 0.993412606 | 0.899277384 | 0.96 | 0.958110502 |
| 97 | 0 | 0.128826294 | 0.139603956 | 1 | 0.37654321 | 0.391580181 | 0.2 | 0.48 | 0.114273275 | 0.214428003 | 0.22 | 0.249343621 |
| 98 | 0 | 0.124447984 | 0.121158278 | 1 | 0.37654321 | 0.3241525 | 0.06 | 0.38 | 0.056221139 | 0.220811737 | 0.02 | 0.023692895 |
| 99 | 0 | 0.573266555 | 0.567584409 | 1 | 0.37654321 | 0.440456758 | 0.6 | 0.8 | 0.348356091 | 0.49527656 | 0.52 | 0.422763328 |
| 100 | 1 | 0.45212452 | 0.410222217 | 1 | 0.715517241 | 0.414568481 | 0.32 | 0.68 | 0.421069483 | 0.57776775 | 0.48 | 0.272211176 |
| 101 | 0 | 0.150675919 | 0.156972591 | 1 | 0.263157895 | 0.464231679 | 0.28 | 0.56 | 0.220431392 | 0.440381172 | 0.2 | 0.090822681 |
| 102 | 0 | 0.612452822 | 0.612478412 | 1 | 0.853932584 | 0.605241887 | 0.8 | 0.72 | 0.790269786 | 0.715554807 | 0.62 | 0.557552732 |
| 103 | 0 | 0.586927594 | 0.583964042 | 1 | 0.37654321 | 0.482433468 | 0.56 | 0.72 | 0.637858415 | 0.476600022 | 0.54 | 0.628648972 |
| 104 | 1 | 0.808197671 | 0.778435328 | 0 | 0.715517241 | 0.486532066 | 0.5 | 0.9 | 0.651100275 | 0.479986001 | 0.56 | 0.673407113 |
| 105 | 1 | 0.804268794 | 0.832437227 | 1 | 0.37654321 | 0.63487525 | 0.58 | 0.72 | 0.466291052 | 0.719809608 | 0.78 | 0.308126346 |
| 106 | 1 | 0.587735328 | 0.583078638 | 1 | 0.37654321 | 0.575128639 | 0.48 | 0.58 | 0.380583948 | 0.531426855 | 0.52 | 0.291734313 |
| 107 | 0 | 0.400757505 | 0.410351485 | 1 | 0.263157895 | 0.516288232 | 0.3 | 0.48 | 0.574858798 | 0.391032048 | 0.48 | 0.187082046 |
| 108 | 1 | 0.787868044 | 0.802672935 | 0 | 0.709677419 | 0.552489648 | 0.82 | 0.78 | 0.800182461 | 0.760078649 | 0.96 | 0.986641866 |
| 109 | 0 | 0.325885772 | 0.283362475 | 1 | 0.715517241 | 0.452810531 | 0.28 | 0.48 | 0.260638325 | 0.334869994 | 0.06 | 0.06470908 |
| 110 | 0 | 0.45262383 | 0.462437037 | 1 | 0.715517241 | 0.681818511 | 0.9 | 0.82 | 0.395608871 | 0.624231109 | 0.7 | 0.070553714 |
| 111 | 1 | 0.773696101 | 0.824222505 | 0 | 0.853932584 | 0.663238877 | 0.78 | 0.58 | 0 | 0.558838782 | 0.8 | 0.989559854 |
| 112 | 1 | 0.86233365 | 0.857895005 | 0 | 0.853932584 | 0.526473556 | 0.74 | 0.82 | 0.895936319 | 0.712239856 | 0.98 | 0.481898592 |
| 113 | 1 | 0.801959879 | 0.81452012 | 0 | 0.853932584 | 0.634077152 | 1 | 0.96 | 0.819110535 | 0.618659363 | 0.88 | 0.762558238 |
| 114 | 1 | 0.677568224 | 0.67821692 | 0 | 0.853932584 | 0.481911346 | 1 | 0.88 | 0.633672198 | 0.532890223 | 0.74 | 0.22470594 |
| 115 | 1 | 0.791007476 | 0.795510922 | 1 | 0.263157895 | 0.514084938 | 0.32 | 0.62 | 0.611681476 | 0.679105748 | 0.88 | 0.692841666 |
| 116 | 1 | 0.977570353 | 0.977213267 | 1 | 0.853932584 | 0.693674999 | 1 | 1 | 0.9949014 | 0.895620188 | 1 | 0.994624264 |
| 117 | 1 | 0.805046077 | 0.764634145 | 1 | 0.853932584 | 0.635305205 | 0.98 | 0.9 | 0.914750169 | 0.646536215 | 0.88 | 0.724076937 |
| 118 | 1 | 0.885115101 | 0.871758916 | 1 | 0.715517241 | 0.671769062 | 0.94 | 0.92 | 0.849099261 | 0.663567086 | 0.96 | 0.529861086 |
| 119 | 0 | 0.812562654 | 0.802352838 | 1 | 0.715517241 | 0.647501108 | 0.86 | 0.82 | 0.932666988 | 0.621680747 | 0.84 | 0.926270897 |
| 120 | 1 | 0.832452604 | 0.838550787 | 0 | 0.37654321 | 0.723959085 | 0.42 | 0.78 | 0.599819144 | 0.781699804 | 0.92 | 0.211114045 |
| 121 | 1 | 0.794042528 | 0.790105006 | 1 | 0.853932584 | 0.614853222 | 0.96 | 0.92 | 0.860718149 | 0.811896981 | 0.96 | 0.975339327 |
| 122 | 0 | 0.469628219 | 0.480971656 | 1 | 0.853932584 | 0.604501623 | 0.9 | 0.68 | 0.519004778 | 0.677120397 | 0.66 | 0.726042653 |
| 123 | 0 | 0.506366981 | 0.468913193 | 1 | 0.715517241 | 0.437104019 | 0.46 | 0.64 | 0.650521387 | 0.319027806 | 0.18 | 0.496197179 |
| 124 | 1 | 0.526128084 | 0.577672287 | 0 | 0.853932584 | 0.693974834 | 0.52 | 0.6 | 0.763436661 | 0.696299624 | 0.88 | 0.490809247 |
| 125 | 1 | 0.931136867 | 0.932196305 | 1 | 0.853932584 | 0.66478674 | 1 | 0.98 | 0.963817168 | 0.796607109 | 0.98 | 0.942237946 |
| 126 | 1 | 0.966870321 | 0.9643077 | 1 | 0.853932584 | 0.761257392 | 1 | 0.98 | 0.987055023 | 0.880299536 | 1 | 0.985557423 |
| 127 | 0 | 0.894754728 | 0.869741069 | 1 | 0.853932584 | 0.624053747 | 0.96 | 0.9 | 0.895424141 | 0.798105632 | 0.98 | 0.777523542 |
| 128 | 0 | 0.325329788 | 0.351066006 | 0 | 0.715517241 | 0.413300379 | 0.42 | 0.58 | 0.300729697 | 0.342018367 | 0.36 | 0.471849743 |
| 129 | 1 | 0.957334683 | 0.952145451 | 1 | 0.853932584 | 0.606957312 | 1 | 0.96 | 0.975871633 | 0.696688129 | 0.96 | 0.982018972 |
| 130 | 1 | 0.991618469 | 0.99176548 | 1 | 0.853932584 | 0.659103114 | 1 | 1 | 0.997490273 | 0.922486302 | 1 | 0.999776481 |
| 131 | 0 | 0.422006783 | 0.409274091 | 1 | 0.263157895 | 0.487724126 | 0.26 | 0.56 | 0.200541074 | 0.363668304 | 0.42 | 0.275377447 |
| 132 | 1 | 0.368709864 | 0.355809218 | 0 | 0.715517241 | 0.559599285 | 0.9 | 0.64 | 0.599907297 | 0.478165201 | 0.38 | 0.775021258 |
| 133 | 1 | 0.043534603 | 0.060244891 | 1 | 0.709677419 | 0.419830339 | 0.42 | 0.28 | 0.041353987 | 0.349265239 | 0.2 | 0.113536913 |
| 134 | 1 | 0.811604848 | 0.80082132 | 1 | 0.853932584 | 0.583609538 | 1 | 0.94 | 0.848871053 | 0.662532341 | 0.8 | 0.329234048 |
| 135 | 1 | 0.930745322 | 0.930676986 | 1 | 0.853932584 | 0.644842067 | 0.94 | 0.98 | 0.95797604 | 0.844168605 | 1 | 0.949692477 |
| 136 | 0 | 0.578443756 | 0.607343525 | 1 | 0.709677419 | 0.552795722 | 0.7 | 0.56 | 0.763147519 | 0.612043849 | 0.56 | 0.352424126 |
| 137 | 0 | 0.264788209 | 0.26712616 | 0 | 0.263157895 | 0.445479605 | 0.24 | 0.46 | 0.148021549 | 0.561444769 | 0.36 | 0.629980574 |
| 138 | 0 | 0.228048532 | 0.222718727 | 1 | 0.263157895 | 0.460703169 | 0.32 | 0.5 | 0.072524491 | 0.243578092 | 0.14 | 0.173161058 |
| 139 | 1 | 0.947931831 | 0.946246582 | 1 | 0.853932584 | 0.657243172 | 0.9 | 0.94 | 0.935691831 | 0.757459324 | 0.96 | 0.804041076 |
| 140 | 1 | 0.953007779 | 0.948607305 | 0 | 0.853932584 | 0.511179278 | 0.98 | 0.98 | 0.984196509 | 0.814145344 | 1 | 0.994034747 |
| 141 | 0 | 0.288509125 | 0.278563425 | 0 | 0.715517241 | 0.438610794 | 0.46 | 0.72 | 0.260125045 | 0.418513428 | 0.42 | 0.069653847 |
| 142 | 1 | 0.987587223 | 0.987660633 | 1 | 0.853932584 | 0.659282283 | 1 | 1 | 0.992943151 | 0.958941528 | 1 | 0.997076947 |
| 143 | 0 | 0.106725407 | 0.122506077 | 1 | 0.37654321 | 0.485225606 | 0.16 | 0.36 | 0.295592733 | 0.29761504 | 0.06 | 0.004660675 |
| 144 | 1 | 0.603317504 | 0.603935924 | 1 | 0.37654321 | 0.563084474 | 0.58 | 0.7 | 0.582342588 | 0.377040846 | 0.34 | 0.04427247 |
| 145 | 1 | 0.528244426 | 0.571966796 | 1 | 0.709677419 | 0.528367568 | 0.74 | 0.74 | 0.537006107 | 0.541948908 | 0.58 | 0.508179497 |
| 146 | 1 | 0.625228473 | 0.603045143 | 0 | 0.715517241 | 0.435836 | 0.42 | 0.72 | 0.789456082 | 0.404425392 | 0.46 | 0.211995345 |
| 147 | 1 | 0.855301933 | 0.850568463 | 1 | 0.853932584 | 0.661638865 | 0.84 | 0.92 | 0.796376452 | 0.676345014 | 0.78 | 0.802195477 |
| 148 | 0 | 0.330970634 | 0.323461186 | 1 | 0.715517241 | 0.446449231 | 0.18 | 0.4 | 0.410805966 | 0.566194655 | 0.32 | 0.726341223 |
| 149 | 1 | 0.978862208 | 0.974964245 | 0.5 | 0.853932584 | 0.666590718 | 0.98 | 1 | 0.984628725 | 0.920500126 | 1 | 0.971628285 |
| 150 | 1 | 0.541765104 | 0.563089365 | 1 | 0.853932584 | 0.544508886 | 0.76 | 0.46 | 0.888995985 | 0.519073279 | 0.64 | 0.388652017 |
| 151 | 1 | 0.955607769 | 0.953171458 | 1 | 0.853932584 | 0.733620478 | 1 | 1 | 0.965049937 | 0.818267605 | 1 | 0.983403754 |
| 152 | 1 | 0.849894608 | 0.851559517 | 0 | 0.715517241 | 0.402504258 | 0.52 | 0.84 | 0.787826821 | 0.475447183 | 0.76 | 0.849585987 |
| 153 | 1 | 0.439851283 | 0.431512773 | 1 | 0.37654321 | 0.465107519 | 0.36 | 0.54 | 0.438503402 | 0.261917624 | 0.12 | 0.079080687 |
| 154 | 1 | 0.682293546 | 0.699130241 | 1 | 0.715517241 | 0.469764684 | 0.4 | 0.68 | 0.801339642 | 0.475195904 | 0.46 | 0.785907603 |
| 155 | 1 | 0.941821751 | 0.953267509 | 1 | 0.853932584 | 0.612729455 | 0.94 | 0.72 | 0.960993451 | 0.860862994 | 0.98 | 0.871346357 |
| 156 | 0 | 0.606644921 | 0.654751 | 0 | 0.37654321 | 0.537763889 | 0.36 | 0.64 | 0.843424601 | 0.673782794 | 0.86 | 0.554761734 |
| 157 | 1 | 0.577743041 | 0.535185546 | 1 | 0.715517241 | 0.550667051 | 0.46 | 0.7 | 0.763176101 | 0.440004006 | 0.16 | 0.402775535 |
| 158 | 1 | 0.940571742 | 0.932670352 | 1 | 0.853932584 | 0.661937905 | 1 | 0.92 | 0.863865865 | 0.665875344 | 0.94 | 0.674533101 |
| 159 | 1 | 0.82799209 | 0.794827622 | 1 | 0.853932584 | 0.542569242 | 0.96 | 0.98 | 0.899440655 | 0.636770584 | 0.84 | 0.710339956 |
| 160 | 1 | 0.914983032 | 0.896559997 | 0 | 0.853932584 | 0.540011832 | 1 | 0.94 | 0.940429168 | 0.753537621 | 0.98 | 0.754239443 |
| 161 | 1 | 0.867608341 | 0.865562821 | 0 | 0.715517241 | 0.608754473 | 0.54 | 0.84 | 0.91542566 | 0.785313261 | 0.98 | 0.954449629 |
| 162 | 1 | 0.924486061 | 0.908485462 | 0 | 0.853932584 | 0.565194376 | 1 | 1 | 0.794972132 | 0.741626137 | 0.88 | 0.845790684 |
| 163 | 0 | 0.559826763 | 0.561170764 | 0 | 0.715517241 | 0.500316116 | 0.8 | 0.8 | 0.676532556 | 0.370489428 | 0.44 | 0.144572183 |
| 164 | 1 | 0.666885321 | 0.650398206 | 0 | 0.853932584 | 0.540505427 | 1 | 0.94 | 0.898726472 | 0.659307197 | 0.74 | 0.757939683 |
| 165 | 1 | 0.436041988 | 0.464793478 | 0 | 0.853932584 | 0.407388494 | 0.32 | 0.4 | 0.856305805 | 0.314806242 | 0.48 | 0.07436155 |
| 166 | 1 | 0.231017737 | 0.24392182 | 0 | 0.263157895 | 0.399362705 | 0.14 | 0.44 | 0.055105881 | 0.362651418 | 0.28 | 0.088994609 |
| 167 | 1 | 0.906555777 | 0.908300092 | 1 | 0.715517241 | 0.678994558 | 0.66 | 0.84 | 0.982073986 | 0.793895786 | 0.98 | 0.971598048 |
| 168 | 1 | 0.916934553 | 0.9191646 | 1 | 0.853932584 | 0.636139012 | 1 | 0.92 | 0.907682553 | 0.740170066 | 0.9 | 0.947211018 |
| 169 | 1 | 0.958769081 | 0.956040058 | 1 | 0.853932584 | 0.724497732 | 1 | 1 | 0.959716801 | 0.821399336 | 1 | 0.997102533 |
| 170 | 1 | 0.961823541 | 0.963187213 | 1 | 0.853932584 | 0.515986995 | 0.86 | 0.92 | 0.780819852 | 0.701189674 | 0.92 | 0.979163096 |
| 171 | 1 | 0.940392518 | 0.934994971 | 1 | 0.853932584 | 0.559223473 | 0.86 | 0.86 | 0.967282633 | 0.779526993 | 0.96 | 0.930712449 |
| 172 | 0 | 0.536495895 | 0.519471933 | 0 | 0.715517241 | 0.551595309 | 0.82 | 0.7 | 0.294182932 | 0.313760084 | 0.4 | 0.463774159 |
| 173 | 0 | 0.554659732 | 0.573082885 | 0 | 0.263157895 | 0.496007638 | 0.3 | 0.46 | 0.370240712 | 0.562120058 | 0.7 | 0.549097912 |
| 174 | 0 | 0.036079816 | 0.049236513 | 1 | 0.37654321 | 0.369239451 | 0.08 | 0.18 | 0 | 0.328506954 | 0.02 | 0.1483859 |
| 175 | 1 | 0.652363036 | 0.678132544 | 1 | 0.853932584 | 0.648896274 | 0.8 | 0.9 | 0.591434086 | 0.59743354 | 0.92 | 0.759927177 |
| 176 | 0 | 0.829865188 | 0.809369304 | 1 | 0.715517241 | 0.520455253 | 0.76 | 0.78 | 0.873929866 | 0.573195856 | 0.9 | 0.711495649 |
| 177 | 1 | 0.977594976 | 0.979398074 | 0 | 0.853932584 | 0.739973676 | 1 | 0.98 | 0.981561846 | 0.882883582 | 1 | 0.989746792 |
| 178 | 1 | 0.272422216 | 0.284073455 | 1 | 0.709677419 | 0.52085877 | 0.44 | 0.36 | 0.043057899 | 0.468112138 | 0.18 | 0.022070755 |
| 179 | 1 | 0.863631829 | 0.852992832 | 1 | 0.715517241 | 0.616528154 | 0.88 | 0.96 | 0.904985097 | 0.597861203 | 0.58 | 0.700020142 |
| 180 | 1 | 0.431675019 | 0.456802238 | 1 | 0.37654321 | 0.464449462 | 0.22 | 0.34 | 0.091836968 | 0.650695274 | 0.6 | 0.502196627 |
| 181 | 1 | 0.861320607 | 0.863980527 | 0 | 0.715517241 | 0.612177323 | 0.94 | 0.9 | 0.911437187 | 0.654528861 | 0.84 | 0.701578565 |
| 182 | 1 | 0.47605473 | 0.500781482 | 0 | 0.715517241 | 0.603804876 | 0.74 | 0.62 | 0.37645494 | 0.698160655 | 0.66 | 0.560192778 |
| 183 | 1 | 0.933595227 | 0.9320626 | 0 | 0.853932584 | 0.686886547 | 1 | 0.96 | 0.98188858 | 0.813152871 | 0.98 | 0.488183894 |
| 184 | 1 | 0.956426081 | 0.958271733 | 1 | 0.715517241 | 0.550978708 | 0.96 | 0.94 | 0.865014171 | 0.791717835 | 0.98 | 0.96810436 |
| 185 | 1 | 0.930618158 | 0.932445843 | 0 | 0.853932584 | 0.612451628 | 1 | 0.96 | 0.90003725 | 0.49508432 | 0.98 | 0.980420057 |
| 186 | 1 | 0.887517047 | 0.876589798 | 1 | 0.853932584 | 0.602646134 | 0.9 | 0.96 | 0.91379379 | 0.68442872 | 0.88 | 0.292018733 |
| 187 | 1 | 0.987840975 | 0.993119394 | 1 | 0.853932584 | 0.675738453 | 0.82 | 0.84 | 0.990910395 | 0.902783787 | 1 | 0.998671825 |
| 188 | 0 | 0.314034464 | 0.321410728 | 1 | 0.715517241 | 0.610774465 | 0.7 | 0.7 | 0.281557598 | 0.437354275 | 0.28 | 0.204126729 |
| 189 | 1 | 0.993420917 | 0.995279181 | 1 | 0.853932584 | 0.702943424 | 1 | 0.98 | 0.997913237 | 0.942685379 | 1 | 0.999952756 |
| 190 | 0 | 0.268835714 | 0.292196344 | 1 | 0.37654321 | 0.487277278 | 0.34 | 0.42 | 0.258225234 | 0.45822571 | 0.28 | 0.460980254 |
| 191 | 1 | 0.828557536 | 0.816846867 | 0 | 0.853932584 | 0.591848791 | 0.84 | 0.82 | 0.875768671 | 0.739327928 | 0.92 | 0.857647029 |
| 192 | 1 | 0.891616775 | 0.883399134 | 1 | 0.853932584 | 0.583337505 | 1 | 0.96 | 0.966278427 | 0.781109578 | 0.98 | 0.867783762 |
| 193 | 0 | 0.903689218 | 0.898317242 | 1 | 0.853932584 | 0.689346256 | 0.96 | 0.96 | 0.888477694 | 0.718522163 | 0.96 | 0.992238761 |
| 194 | 1 | 0.49697998 | 0.516468221 | 1 | 0.715517241 | 0.524751545 | 0.68 | 0.7 | 0.314630831 | 0.457971519 | 0.44 | 0.070171807 |
| 195 | 0 | 0.400359906 | 0.410772852 | 1 | 0.37654321 | 0.392752825 | 0.12 | 0.3 | 0.292848778 | 0.402222157 | 0.16 | 0.059748558 |
| 196 | 1 | 0.927706207 | 0.924502052 | 1 | 0.853932584 | 0.606322877 | 1 | 0.96 | 0.958292227 | 0.795993997 | 0.98 | 0.983706586 |
| 197 | 1 | 0.761632708 | 0.757347601 | 1 | 0.37654321 | 0.498401786 | 0.26 | 0.52 | 0.677479437 | 0.637343116 | 0.78 | 0.47247389 |
| 198 | 1 | 0.967440927 | 0.970507253 | 1 | 0.853932584 | 0.742928581 | 1 | 0.96 | 0.993504341 | 0.880706724 | 1 | 0.861589019 |
| 199 | 0 | 0.805887133 | 0.798053636 | 0 | 0.37654321 | 0.523922081 | 0.7 | 0.88 | 0.654405409 | 0.651379109 | 0.74 | 0.94875117 |
| 200 | 1 | 0.364525412 | 0.333939151 | 1 | 0.715517241 | 0.595288656 | 0.42 | 0.68 | 0.214848235 | 0.519938034 | 0.44 | 0.448826912 |
Question to Answer
Among these 11 algorithms, which one must be picked as the best predictive analytics algorithm? Why? Calculations are not necessary. (Hint: For a bank, which error is more expensive, false positive or false negative?)
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