-
Notifications
You must be signed in to change notification settings - Fork 9
/
Copy pathC2W1.ipynb
1101 lines (1101 loc) · 468 KB
/
C2W1.ipynb
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
441
442
443
444
445
446
447
448
449
450
451
452
453
454
455
456
457
458
459
460
461
462
463
464
465
466
467
468
469
470
471
472
473
474
475
476
477
478
479
480
481
482
483
484
485
486
487
488
489
490
491
492
493
494
495
496
497
498
499
500
501
502
503
504
505
506
507
508
509
510
511
512
513
514
515
516
517
518
519
520
521
522
523
524
525
526
527
528
529
530
531
532
533
534
535
536
537
538
539
540
541
542
543
544
545
546
547
548
549
550
551
552
553
554
555
556
557
558
559
560
561
562
563
564
565
566
567
568
569
570
571
572
573
574
575
576
577
578
579
580
581
582
583
584
585
586
587
588
589
590
591
592
593
594
595
596
597
598
599
600
601
602
603
604
605
606
607
608
609
610
611
612
613
614
615
616
617
618
619
620
621
622
623
624
625
626
627
628
629
630
631
632
633
634
635
636
637
638
639
640
641
642
643
644
645
646
647
648
649
650
651
652
653
654
655
656
657
658
659
660
661
662
663
664
665
666
667
668
669
670
671
672
673
674
675
676
677
678
679
680
681
682
683
684
685
686
687
688
689
690
691
692
693
694
695
696
697
698
699
700
701
702
703
704
705
706
707
708
709
710
711
712
713
714
715
716
717
718
719
720
721
722
723
724
725
726
727
728
729
730
731
732
733
734
735
736
737
738
739
740
741
742
743
744
745
746
747
748
749
750
751
752
753
754
755
756
757
758
759
760
761
762
763
764
765
766
767
768
769
770
771
772
773
774
775
776
777
778
779
780
781
782
783
784
785
786
787
788
789
790
791
792
793
794
795
796
797
798
799
800
801
802
803
804
805
806
807
808
809
810
811
812
813
814
815
816
817
818
819
820
821
822
823
824
825
826
827
828
829
830
831
832
833
834
835
836
837
838
839
840
841
842
843
844
845
846
847
848
849
850
851
852
853
854
855
856
857
858
859
860
861
862
863
864
865
866
867
868
869
870
871
872
873
874
875
876
877
878
879
880
881
882
883
884
885
886
887
888
889
890
891
892
893
894
895
896
897
898
899
900
901
902
903
904
905
906
907
908
909
910
911
912
913
914
915
916
917
918
919
920
921
922
923
924
925
926
927
928
929
930
931
932
933
934
935
936
937
938
939
940
941
942
943
944
945
946
947
948
949
950
951
952
953
954
955
956
957
958
959
960
961
962
963
964
965
966
967
968
969
970
971
972
973
974
975
976
977
978
979
980
981
982
983
984
985
986
987
988
989
990
991
992
993
994
995
996
997
998
999
1000
{
"nbformat": 4,
"nbformat_minor": 0,
"metadata": {
"colab": {
"name": "C2W1.ipynb",
"version": "0.3.2",
"provenance": []
},
"kernelspec": {
"name": "python3",
"display_name": "Python 3"
},
"accelerator": "GPU"
},
"cells": [
{
"cell_type": "markdown",
"metadata": {
"id": "_FscGNs4xI2s",
"colab_type": "text"
},
"source": [
"# Линейная регрессия и основные библиотеки Python для анализа данных и научных вычислений\n",
"\n",
"Это задание посвящено линейной регрессии (прогнозирование роста человека по его весу)"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "PfdZYEL7xk-r",
"colab_type": "text"
},
"source": [
"## Задание 1. Первичный анализ данных c Pandas\n",
"\n",
"В этом заданиии мы будем использовать данные SOCR по росту и весу 25 тысяч подростков.\n"
]
},
{
"cell_type": "code",
"metadata": {
"id": "UPDqq7tuxEPS",
"colab_type": "code",
"colab": {}
},
"source": [
"import numpy as np\n",
"import pandas as pd\n",
"import seaborn as sns\n",
"import matplotlib.pyplot as plt\n",
"from scipy.optimize import minimize_scalar, minimize\n",
"%matplotlib inline"
],
"execution_count": 0,
"outputs": []
},
{
"cell_type": "markdown",
"metadata": {
"id": "j6mIBeiaxu3b",
"colab_type": "text"
},
"source": [
"Считаем данные по росту и весу (weights_heights.csv, приложенный в задании) в объект Pandas DataFrame:"
]
},
{
"cell_type": "code",
"metadata": {
"id": "OtEmw2daxymr",
"colab_type": "code",
"colab": {}
},
"source": [
"data = pd.read_csv('https://d3c33hcgiwev3.cloudfront.net/_0c048aa6ba23f280b723d66fb0660b43_weights_heights.csv?Expires=1563580800&Signature=DUG3RbDxdJm~GDO5CE6qAjmjyfyc~Zpc3bfjHsi83p4NIFqQQRD7AD4TZ-3dux6S1oLuJsrXWp6Fty6LUHOUTPrcbt9lns9RolCc2SH8SrY49lbylqe4P0UfBceAzMh8i43ro8~tdI~6LPZQIIi5KIS1cKia9s~lo9mib2W2SzQ_&Key-Pair-Id=APKAJLTNE6QMUY6HBC5A', index_col='Index')"
],
"execution_count": 0,
"outputs": []
},
{
"cell_type": "markdown",
"metadata": {
"id": "bLCj7udyyBPO",
"colab_type": "text"
},
"source": [
"Посмотрите на первые 5 записей с помощью метода head Pandas DataFrame."
]
},
{
"cell_type": "code",
"metadata": {
"id": "EoPM5efjx8JL",
"colab_type": "code",
"outputId": "fdf18acf-f5be-444b-cd13-89bce93e434e",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 235
}
},
"source": [
"data.head() # по умолчанию - 5"
],
"execution_count": 3,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/html": [
"<div>\n",
"<style scoped>\n",
" .dataframe tbody tr th:only-of-type {\n",
" vertical-align: middle;\n",
" }\n",
"\n",
" .dataframe tbody tr th {\n",
" vertical-align: top;\n",
" }\n",
"\n",
" .dataframe thead th {\n",
" text-align: right;\n",
" }\n",
"</style>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>Height</th>\n",
" <th>Weight</th>\n",
" </tr>\n",
" <tr>\n",
" <th>Index</th>\n",
" <th></th>\n",
" <th></th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>1</th>\n",
" <td>65.78331</td>\n",
" <td>112.9925</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2</th>\n",
" <td>71.51521</td>\n",
" <td>136.4873</td>\n",
" </tr>\n",
" <tr>\n",
" <th>3</th>\n",
" <td>69.39874</td>\n",
" <td>153.0269</td>\n",
" </tr>\n",
" <tr>\n",
" <th>4</th>\n",
" <td>68.21660</td>\n",
" <td>142.3354</td>\n",
" </tr>\n",
" <tr>\n",
" <th>5</th>\n",
" <td>67.78781</td>\n",
" <td>144.2971</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" Height Weight\n",
"Index \n",
"1 65.78331 112.9925\n",
"2 71.51521 136.4873\n",
"3 69.39874 153.0269\n",
"4 68.21660 142.3354\n",
"5 67.78781 144.2971"
]
},
"metadata": {
"tags": []
},
"execution_count": 3
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "Kx0nrRcpySTl",
"colab_type": "text"
},
"source": [
"Построим гистограмму распределения роста подростков из выборки data"
]
},
{
"cell_type": "code",
"metadata": {
"id": "zBl91nGNyVFO",
"colab_type": "code",
"outputId": "596794ef-be93-4a76-d691-383ec6ac3f49",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 298
}
},
"source": [
"data.plot(y='Height', kind='hist', \n",
" color='red', title='Height (inch.) distribution')"
],
"execution_count": 4,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"<matplotlib.axes._subplots.AxesSubplot at 0x7fc04d215fd0>"
]
},
"metadata": {
"tags": []
},
"execution_count": 4
},
{
"output_type": "display_data",
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAY4AAAEICAYAAABI7RO5AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\na2+ZsFDX6QAAAABJRU5ErkJggg==\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "PhqS4OQyyYSb",
"colab_type": "text"
},
"source": [
" Нарисуем гистограмму распределения веса "
]
},
{
"cell_type": "code",
"metadata": {
"id": "c7cDBXlLydWC",
"colab_type": "code",
"outputId": "98476535-a0a9-4fb7-f0f3-086d1164c142",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 298
}
},
"source": [
"data.plot(y='Weight', kind='hist', \n",
" color='green', title='Weight (inch.) distribution')"
],
"execution_count": 5,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"<matplotlib.axes._subplots.AxesSubplot at 0x7fc04d173240>"
]
},
"metadata": {
"tags": []
},
"execution_count": 5
},
{
"output_type": "display_data",
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAY4AAAEICAYAAABI7RO5AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDMuMC4zLCBo\ndHRwOi8vbWF0cGxvdGxpYi5vcmcvnQurowAAIABJREFUeJzt3Xu4VVW9//H3R1HQIC6BqIBCSSne\ncXuDo09mgXpUrNSsTnGME3nyd8qyx6Pd8JLP6WJRelIjRVFLJS/JMT2KFF5CRdS8IHjYKspGFOSi\nkoUS398fcyxcbNfee83Nnnvtzf68nmc9a84xxxxzzMl69pc5xphjKiIwMzOr1la1roCZmXUuDhxm\nZpaLA4eZmeXiwGFmZrk4cJiZWS4OHGZmlosDh3UIki6X9L0q814t6QebebwBkhZK2i6t3ylp/GaW\n+VFJDTnyz5W0Z478QyWFpG5pfbPrXFb2YZKeLVtfLOnjbVF2Km++pI+2VXlWWw4c1iqSzpF0Z6O0\nRU2kndJSeRFxWkRc0EZ1C0m7tZDtbODqiPhbOv7RETGtLY6fw0XA+a3dudo6V3M9IuL+iPhIa+vS\n6HjvCewRsWdEzG6L8q32HDiste4DRknaGkDSTsA2wP6N0nZLeTsMSd2B8cB1Na7KDOAISTvWshKl\nOxizajlwWGs9QhYo9kvrhwF/Ap5tlPZcRLwMIGl3STMlrZL0rKSTS4U1/l+qpLMkLZP0sqR/q/C/\n5r6S/iDpTUkPS/pQ2q8UpJ6QtFbSZyrU/WBgTURsbFaSNFvSv6Xlf5X0gKSLJK2W9IKko8vy9pN0\nVarbakm/Ly9c0pmSlqf6n9rUBYyIvwOPAmMrbZe0darDa5KeB/650fbyOu8m6V5Jr6f8NzZ1PUpN\napL+U9IrwFVNNLMdKOmZdI5XSepRfn0a1SVSHSYCnwfOSsf7n7R9Y9OXpO6Sfp6u38tpuXvaVqpb\nVdfQasOBw1olIt4GHgYOT0mHA/cDDzRKuw9A0vuAmcBvgR2AU4BLJY1oXLako4BvAh8nu2P5aIUq\nnAKcB/QF6oELU71Kx943InpGxI0V9t2bLMA15+CUpz/wY+BKSUrbrgW2B/ZM5zK5bL8dgd7AIGAC\n8EtJfZs5zgJg3ya2fRk4FtgfqANObKacC4C7ya7HYOASaPZ67Aj0A3YFJjZR5ufJgtqHgA8D323m\n+KTjTQF+A/w4He+4Ctm+AxxC9h+MfYGDGpWd9xpaO3PgsM1xL+8GicPIAsf9jdLuTcvHAosj4qqI\nWB8RjwM3AydVKPdk4KqImB8RbwHnVshza0TMjYj1ZH+o9quQpyl9gDdbyPNiRPw6Iv4BTAN2Agam\n5rejgdMiYnVEvBMR95bt9w5wfkq/A1gLNNd38GaqTyUnAz+PiCURsQr4r2bKeYcsCOwcEX+PiAea\nyQuwAZgUEetK/TwV/HfZsS8EPttCmdX6PNk1Wh4RK8j+A/CFsu15r6G1MwcO2xz3Af8kqR8wICIW\nAXPI+j76AXvxbv/GrsDBktaUPmR/QCq17+8MLClbX1Ihzytly28BPXPUezXQq4U8G8tPwYt0jCHA\nqohY3cR+K1Mwq7ZuvYA1TWxrfB1ebKacswABc9MIpi81kxdgRWoqa07jY+/cQv5q7cym59K47LzX\n0NqZA4dtjgfJmhS+DPwZICLeAF5OaS9HxAsp7xLg3ojoU/bpGRH/XqHcZWTNLSVD2rjeT5I1vbTG\nEqCfpKbuEvLaA3iiiW3L2PTcd2mqkIh4JSK+HBE7A18hawZsbiRVNdNiNz72y2n5r2RNdQBU6Nxv\nqeyXyf4jUals6wQcOKzVUhPHPLL+iPvLNj2Q0spHU90OfFjSFyRtkz4HStqjQtHTgVMl7SFpe6Cq\n5zvKvAp8sJntc4E+kgblLJeIWAbcSfaHuW86j8Nb2q+S1Nl8AFnfTyXTga9JGpza+M9upqyTJJWC\n7WqyP94b0npL16Mpp6dj9yPrlyj1jzwB7Clpv3QO5zbar6XjXQ98V9mzNP2B71P7EW6WgwOHba57\nyTqIy9vU709pGwNHRLwJjCHr1H6ZrCnoR0D3xgVGxJ3AxWSjtOqBh9KmdVXW6VxgWmoSO7nxxtSx\nfzXwL1WW19gXyNrhFwLLgTOq2UnSt7Xpcy7HAbNLo84q+DVwF9kf6seAW5op/kDgYUlryYb5fj0i\nnk/bzqWZ69GM35J1uD8PPAf8ACAi/o/s+ZN7gEVs+m8PcCUwIh3v97zXD8j+w/Ek8FQ6t816oNPa\nl/wiJ+vo0l3J00D3Rm3fm1PmALIAt38zncOFkvQwMCEinq7F8c1ay4HDOiRJnwTuIGtLnwZsiIgT\nalsrMwM3VVnH9RWyZqDngH8AlTrRzawGfMdhZma5FHrHIekbaUz505Kul9RD0jBlU0TUS7pR0rYp\nb/e0Xp+2Dy0r55yU/qykitMzmJlZ+yjsjiMNdXwAGBERf5M0nazN+hjgloi4QdLlwBMRcZmkrwL7\nRMRpymZT/WREfCZNSXE92bQEO5ON5PhweqK3ov79+8fQoUMLOS8zsy3Vo48++lpEDGgpX9GzYnYD\ntpP0Dlkn5zLgY8Dn0vZpZEMFLwPG8e548JuA/05zA40DboiIdcALkurJgsiDTR106NChzJs3r81P\nxsxsSyapudkJNiqsqSoilpK9b+AlsoDxOtlMoGvKhlQ2kE1kRvpekvZdn/J/oDy9wj4bSZooaZ6k\neStWrGj7EzIzM6DAwJGedB0HDCNrYnofcFRRx4uIKRFRFxF1Awa0eKdlZmatVGTn+MeBFyJiRUS8\nQ/bU62iyqR5KTWSDgaVpeSlpbpy0vTewsjy9wj5mZtbOiuzjeAk4JM019DfgSLJpBv5E9l6BG8je\nwnZbyj8jrT+Ytv8xIkLSDOC3kn5GducynGyuITOzZr3zzjs0NDTw97+3NBFw19KjRw8GDx7MNtts\n06r9CwscEfGwpJvI5qFZDzwOTAH+ANyg7G1vj5PNa0P6vjZ1fq8im9OIiJifRmQ9k8o5vbkRVWZm\nJQ0NDfTq1YuhQ4fy7nu4uraIYOXKlTQ0NDBs2LBWlbFFPgBYV1cXHlVlZgsWLGD33Xd30GgkIli4\ncCF77LHp5NSSHo2Iupb295QjZrZFc9B4r829Jg4cZmaWS9EPAJqZdRg6r23vPmJS80393/jGN9h1\n110544zslS1jx45lyJAhXHHFFQCceeaZDBo0iG9+85sV9x81ahRz5sxp9hilB5779++/Sfrs2bPZ\ndtttGTVqVLWnUzUHDrN21tZ/vKrV0h85a3ujR49m+vTpnHHGGWzYsIHXXnuNN954Y+P2OXPmMHny\n5Cb3byloNGf27Nn07NmzkMDhpiozs4KMGjWKBx/MZkeaP38+e+21F7169WL16tWsW7eOBQsWMHLk\nSH7yk59w4IEHss8++zBp0qSN+/fs2ROADRs28NWvfpXdd9+dT3ziExxzzDHcdNNNG/NdcskljBw5\nkr333puFCxeyePFiLr/8ciZPnsx+++3H/fffT1vyHYeZWUF23nlnunXrxksvvcScOXM49NBDWbp0\nKQ8++CC9e/dm7733Zvbs2SxatIi5c+cSERx//PHcd999HH74u6+yv+WWW1i8eDHPPPMMy5cvZ489\n9uBLX/rSxu39+/fnscce49JLL+Wiiy7iiiuu4LTTTqNnz55861vfavPz8h2HmVmBSv0UpcBx6KGH\nblwfPXo0d999N3fffTf7778/I0eOZOHChSxatGiTMh544AFOOukkttpqK3bccUeOOOKITbZ/6lOf\nAuCAAw5g8eLFhZ+T7zjMzAo0evRo5syZw1NPPcVee+3FkCFD+OlPf8r73/9+Tj31VO69917OOecc\nvvKVr7T6GN27dwdg6623Zv369S3k3ny+4zAzK9CoUaO4/fbb6devH1tvvTX9+vVjzZo1PPjgg4wa\nNYqxY8cydepU1q5dC8DSpUtZvnz5JmWMHj2am2++mQ0bNvDqq68ye/bsFo/bq1cv3nzzzSJOyXcc\nZtZ11GJk2d57781rr73G5z73uU3S1q5dS//+/RkzZgwLFizg0EMPBbIO8euuu44ddthhY/5Pf/rT\nzJo1ixEjRjBkyBBGjhxJ7969mz3ucccdx4knnshtt93GJZdcwmGHHdZm5+QpR8zamYfjtp8FCxa8\nZ1qNzmrt2rX07NmTlStXctBBB/HnP/+ZHXfcsdXlVbo21U454jsOM7NO4Nhjj2XNmjW8/fbbfO97\n39usoLG5HDjMzDqBavo12os7x81si7YlNsdvrs29Jg4cZrbF6tGjBytXrnTwKFN6H0ePHj1aXYab\nqsxsizV48GAaGhpYsWJFravSoZTeANhaDhxmtsXaZpttWv2WO2uam6rMzCyXwgKHpI9I+kvZ5w1J\nZ0jqJ2mmpEXpu2/KL0kXS6qX9KSkkWVljU/5F0kaX1SdzcysZYUFjoh4NiL2i4j9gAOAt4BbgbOB\nWRExHJiV1gGOBoanz0TgMgBJ/YBJwMHAQcCkUrAxM7P2115NVUcCz0XEi8A4YFpKnwackJbHAddE\n5iGgj6SdgLHAzIhYFRGrgZnAUe1UbzMza6S9AscpwPVpeWBELEvLrwAD0/IgYEnZPg0pran0TUia\nKGmepHkeQWFmVpzCA4ekbYHjgd813hbZ4Oo2GWAdEVMioi4i6gYMGNAWRZqZWQXtccdxNPBYRLya\n1l9NTVCk79L8wUuBIWX7DU5pTaWbmVkNtEfg+CzvNlMBzABKI6PGA7eVpX8xja46BHg9NWndBYyR\n1Dd1io9JaWZmVgOFPgAo6X3AJ4DyV1v9EJguaQLwInBySr8DOAaoJxuBdSpARKySdAHwSMp3fkSs\nKrLeZmbWtEIDR0T8FfhAo7SVZKOsGucN4PQmypkKTC2ijmZmlo+fHDczs1wcOMzMLBcHDjMzy8WB\nw8zMcnHgMDOzXBw4zMwsFwcOMzPLxYHDzMxyceAwM7NcHDjMzCyXQqccMeuodJ5qXQWzTst3HGZm\nlosDh5mZ5eLAYWZmuThwmJlZLg4cZmaWiwOHmZnl4sBhZma5FBo4JPWRdJOkhZIWSDpUUj9JMyUt\nSt99U15JulhSvaQnJY0sK2d8yr9I0vgi62xmZs0r+o7jF8D/RsTuwL7AAuBsYFZEDAdmpXWAo4Hh\n6TMRuAxAUj9gEnAwcBAwqRRszMys/RUWOCT1Bg4HrgSIiLcjYg0wDpiWsk0DTkjL44BrIvMQ0EfS\nTsBYYGZErIqI1cBM4Kii6m1mZs0r8o5jGLACuErS45KukPQ+YGBELEt5XgEGpuVBwJKy/RtSWlPp\nm5A0UdI8SfNWrFjRxqdiZmYlRQaObsBI4LKI2B/4K+82SwEQEQFEWxwsIqZERF1E1A0YMKAtijQz\nswqKDBwNQENEPJzWbyILJK+mJijS9/K0fSkwpGz/wSmtqXQzM6uBwgJHRLwCLJH0kZR0JPAMMAMo\njYwaD9yWlmcAX0yjqw4BXk9NWncBYyT1TZ3iY1KamZnVQNHTqv8H8BtJ2wLPA6eSBavpkiYALwIn\np7x3AMcA9cBbKS8RsUrSBcAjKd/5EbGq4HqbmVkTCg0cEfEXoK7CpiMr5A3g9CbKmQpMbdvamZlZ\na/jJcTMzy8WBw8zMcnHgMDOzXBw4zMwsFwcOMzPLxYHDzMxyceAwM7NcHDjMzCwXBw4zM8vFgcPM\nzHJx4DAzs1wcOMzMLBcHDjMzy8WBw8zMcnHgMDOzXBw4zMwsFwcOMzPLxYHDzMxyKTRwSFos6SlJ\nf5E0L6X1kzRT0qL03TelS9LFkuolPSlpZFk541P+RZLGF1lnMzNrXnvccRwREftFROnd42cDsyJi\nODArrQMcDQxPn4nAZZAFGmAScDBwEDCpFGzMzKz91aKpahwwLS1PA04oS78mMg8BfSTtBIwFZkbE\nqohYDcwEjmrvSpuZWaZbweUHcLekAH4VEVOAgRGxLG1/BRiYlgcBS8r2bUhpTaVvQtJEsjsVdtll\nl7Y8B7Mtgs5TzY4dk6Jmx7a2V3Tg+KeIWCppB2CmpIXlGyMiUlDZbCkoTQGoq6vzr9TMrCBVNVVJ\n2rs1hUfE0vS9HLiVrI/i1dQERfpenrIvBYaU7T44pTWVbmZmNVBtH8elkuZK+qqk3tXsIOl9knqV\nloExwNPADKA0Mmo8cFtangF8MY2uOgR4PTVp3QWMkdQ3dYqPSWlmZlYDVTVVRcRhkoYDXwIelTQX\nuCoiZjaz20DgVkml4/w2Iv5X0iPAdEkTgBeBk1P+O4BjgHrgLeDUdOxVki4AHkn5zo+IVXlO0szM\n2k7VfRwRsUjSd4F5wMXA/sqiwrcj4pYK+Z8H9q2QvhI4skJ6AKc3ceypwNRq62pmZsWpto9jH0mT\ngQXAx4DjImKPtDy5wPqZmVkHU+0dxyXAFWR3F38rJUbEy+kuxMzMuohqA8c/A3+LiH8ASNoK6BER\nb0XEtYXVzszMOpxqR1XdA2xXtr59SjMzsy6m2sDRIyLWllbS8vbFVMnMzDqyagPHXxvNVnsA8Ldm\n8puZ2Raq2j6OM4DfSXoZELAj8JnCamVmZh1WtQ8APiJpd+AjKenZiHinuGqZmVlHlWeSwwOBoWmf\nkZKIiGsKqZWZmXVYVQUOSdcCHwL+AvwjJQfgwGFm1sVUe8dRB4xI04KYmVkXVu2oqqfJOsTNzKyL\nq/aOoz/wTJoVd10pMSKOL6RWZmbWYVUbOM4tshJmZtZ5VDsc915JuwLDI+IeSdsDWxdbNTMz64iq\nnVb9y8BNwK9S0iDg90VVyszMOq5qO8dPB0YDb0D2Uidgh6IqZWZmHVe1gWNdRLxdWpHUjew5DjMz\n62KqDRz3Svo2sJ2kTwC/A/6nmh0lbS3pcUm3p/Vhkh6WVC/pRknbpvTuab0+bR9aVsY5Kf1ZSWPz\nnKCZmbWtagPH2cAK4CngK8AdQLVv/vs62StnS34ETI6I3YDVwISUPgFYndInp3xIGgGcAuwJHAVc\nKskd82ZmNVJV4IiIDRHx64g4KSJOTMstNlVJGkz29sAr0rrI3lN+U8oyDTghLY9L66TtR6b844Ab\nImJdRLwA1AMHVXd6ZmbW1qqdq+oFKvRpRMQHW9j158BZQK+0/gFgTUSsT+sNZCO0SN9LUrnrJb2e\n8g8CHiors3yf8jpOBCYC7LLLLi2flJmZtUqeuapKegAnAf2a20HSscDyiHhU0kdbV73qRcQUYApA\nXV2dO+7NzApS7QOAKxsl/VzSo8D3m9ltNHC8pGPIgs37gV8AfSR1S3cdg4GlKf9SYAjQkEZt9QZW\nlqWXlO9jZmbtrNoHAEeWfeoknUYLQScizomIwRExlKxz+48R8XngT8CJKdt44La0PCOtk7b/MfWj\nzABOSaOuhgHDgbnVn6KZmbWlapuqflq2vB5YDJzcymP+J3CDpB8AjwNXpvQrgWsl1QOryIINETFf\n0nTgmXTs0yPiH+8t1szM2kO1TVVHbM5BImI2MDstP0+FUVER8XeyvpNK+18IXLg5dTAzs7ZR7aiq\nbza3PSJ+1jbVMTOzji7PqKoDyfobAI4j62dYVESlzMys46o2cAwGRkbEmwCSzgX+EBH/UlTFzMys\nY6p2ypGBwNtl62+nNDMz62KqveO4Bpgr6da0fgLvTg9iZmZdSLWjqi6UdCdwWEo6NSIeL65aZmbW\nUVXbVAWwPfBGRPyC7OnuYQXVyczMOrBqnxyfRPbg3jkpaRvguqIqZWZmHVe1dxyfBI4H/goQES/z\n7oy3ZmbWhVQbON5O80YFgKT3FVclMzPryKoNHNMl/YpsZtsvA/cAvy6uWmZm1lFVO6rqovSu8TeA\njwDfj4iZhdbMzMw6pBYDR3q/9z1pokMHCzOzLq7Fpqo0hfkGSb3boT5mZtbBVfvk+FrgKUkzSSOr\nACLia4XUyszMOqxqA8ct6WNmZl1cs4FD0i4R8VJEeF4qMzMDWu7j+H1pQdLNBdfFzMw6gZYCh8qW\nP5inYEk9JM2V9ISk+ZLOS+nDJD0sqV7SjZK2Tend03p92j60rKxzUvqzksbmqYeZmbWtlgJHNLFc\njXXAxyJiX2A/4ChJhwA/AiZHxG7AamBCyj8BWJ3SJ6d8SBoBnALsCRwFXJqGCJuZWQ20FDj2lfSG\npDeBfdLyG5LelPRGcztGZm1a3SZ9AvgYcFNKn0b2bg+Acbz7jo+bgCMlKaXfEBHrIuIFoB44KMc5\nmplZG2q2czwiNut/9unO4FFgN+CXwHPAmohYn7I0AIPS8iBgSTruekmvAx9I6Q+VFVu+T/mxJgIT\nAXbZZZfNqbaZmTWj2uG4rZIeHtxPUh/gVmD3Ao81BZgCUFdXl7dZzWpE56nlTGbWoeR5kVOrRcQa\n4E/AoWQTJZYC1mBgaVpeCgwBSNt7AyvL0yvsY2Zm7aywwCFpQLrTQNJ2wCeABWQB5MSUbTxwW1qe\nkdZJ2/+YpnKfAZySRl0NA4YDc4uqt5mZNa/IpqqdgGmpn2MrYHpE3C7pGeAGST8AHgeuTPmvBK6V\nVA+sIhtJRUTMlzQdeAZYD5yemsDMzKwGCgscEfEksH+F9OepMCoqIv4OnNREWRcCF7Z1Hc3MLL92\n6eMwM7MthwOHmZnl4sBhZma5OHCYmVkuDhxmZpaLA4eZmeXiwGFmZrk4cJiZWS4OHGZmlosDh5mZ\n5eLAYWZmuThwmJlZLg4cZmaWiwOHmZnl4sBhZma5OHCYmVkuDhxmZpaLA4eZmeVSWOCQNETSnyQ9\nI2m+pK+n9H6SZkpalL77pnRJulhSvaQnJY0sK2t8yr9I0vii6mxmZi0r8o5jPXBmRIwADgFOlzQC\nOBuYFRHDgVlpHeBoYHj6TAQugyzQAJOAg8neVT6pFGzMzKz9FRY4ImJZRDyWlt8EFgCDgHHAtJRt\nGnBCWh4HXBOZh4A+knYCxgIzI2JVRKwGZgJHFVVvMzNrXrv0cUgaCuwPPAwMjIhladMrwMC0PAhY\nUrZbQ0prKr3xMSZKmidp3ooVK9q0/mZm9q7CA4eknsDNwBkR8Ub5togIINriOBExJSLqIqJuwIAB\nbVGkmZlVUGjgkLQNWdD4TUTckpJfTU1QpO/lKX0pMKRs98Epral0MzOrgSJHVQm4ElgQET8r2zQD\nKI2MGg/cVpb+xTS66hDg9dSkdRcwRlLf1Ck+JqWZmVkNdCuw7NHAF4CnJP0lpX0b+CEwXdIE4EXg\n5LTtDuAYoB54CzgVICJWSboAeCTlOz8iVhVYbzMza0ZhgSMiHgDUxOYjK+QP4PQmypoKTG272pmZ\nWWv5yXEzM8vFgcPMzHIpso/DzAwAnddUq3WxYlKbjPa3RnzHYWZmuThwmJlZLg4cZmaWiwOHmZnl\n4sBhZma5OHCYmVkuDhxmZpaLA4eZmeXiwGFmZrk4cJiZWS4OHGZmlosDh5mZ5eLAYWZmuThwmJlZ\nLg4cZmaWS2GBQ9JUScslPV2W1k/STEmL0nfflC5JF0uql/SkpJFl+4xP+RdJGl9Ufc3MrDpF3nFc\nDRzVKO1sYFZEDAdmpXWAo4Hh6TMRuAyyQANMAg4GDgImlYKNmZnVRmGBIyLuA1Y1Sh4HTEvL04AT\nytKvicxDQB9JOwFjgZkRsSoiVgMzeW8wMjOzdtTefRwDI2JZWn4FGJiWBwFLyvI1pLSm0t9D0kRJ\n8yTNW7FiRdvW2szMNqpZ53hEBNBmLwSOiCkRURcRdQMGDGirYs3MrJH2DhyvpiYo0vfylL4UGFKW\nb3BKayrdzMxqpL0DxwygNDJqPHBbWfoX0+iqQ4DXU5PWXcAYSX1Tp/iYlGZmZjXSraiCJV0PfBTo\nL6mBbHTUD4HpkiYALwInp+x3AMcA9cBbwKkAEbFK0gXAIynf+RHRuMPdzMzaUWGBIyI+28SmIyvk\nDeD0JsqZCkxtw6qZmdlmKCxwWOeh81TrKphZJ+IpR8zMLBcHDjMzy8WBw8zMcnHgMDOzXBw4zMws\nFwcOMzPLxYHDzMxyceAwM7NcHDjMzCwXBw4zM8vFU46Y2RarVtPpxKQ2e9VQh+Q7DjMzy8WBw8zM\ncnHgMDOzXBw4zMwsFwcOMzPLxYHDzMxy6TTDcSUdBfwC2Bq4IiJ+WOMqtTm/ic/MOoNOccchaWvg\nl8DRwAjgs5JG1LZWZmZdU2e54zgIqI+I5wEk3QCMA54p4mD+n7+ZbY5a/g1pj4cPO0vgGAQsKVtv\nAA4uzyBpIjAxra6V9GwB9egPvFZAuZ2Nr4OvQYmvQwe7Bjp3s4LWrtVk6iyBo0URMQWYUuQxJM2L\niLoij9EZ+Dr4GpT4OnTNa9Ap+jiApcCQsvXBKc3MzNpZZwkcjwDDJQ2TtC1wCjCjxnUyM+uSOkVT\nVUSsl/T/gLvIhuNOjYj5NahKoU1hnYivg69Bia9DF7wGitiyp/81M7O21VmaqszMrINw4DAzs1wc\nOJog6RuS5kt6WtL1knqkzvmHJdVLujF11G9RJE2VtFzS02Vp/STNlLQoffdN6ZJ0cboeT0oaWbua\nt60mrsNPJC1M53qrpD5l285J1+FZSWNrU+u2VekalG07U1JI6p/Wu9RvIaX/R/o9zJf047L0Le63\n0JgDRwWSBgFfA+oiYi+yDvlTgB8BkyNiN2A1MKF2tSzM1cBRjdLOBmZFxHBgVlqHbAqY4ekzEbis\nnerYHq7mvddhJrBXROwD/B9wDkCa/uYUYM+0z6VpmpzO7mreew2QNAQYA7xUltylfguSjiCbvWLf\niNgTuCilb6m/hU04cDStG7CdpG7A9sAy4GPATWn7NOCEGtWtMBFxH7CqUfI4svOFTc97HHBNZB4C\n+kjaqX1qWqxK1yEi7o6I9Wn1IbLniSC7DjdExLqIeAGoJ5smp1Nr4rcAMBk4CygfWdOlfgvAvwM/\njIh1Kc/ylL5F/hYac+CoICKWkv0P4iWygPE68CiwpuwPRwPZVChdwcCIWJaWXwEGpuVKU8F0lWvy\nJeDOtNxlroOkccDSiHii0aYucw2SDwOHpabreyUdmNK7xHXoFM9xtLfUhj8OGAasAX5HhVv2rigi\nQlKXHsMt6TvAeuA3ta5Le5K0PfBtsmaqrq4b0A84BDgQmC7pg7WtUvvxHUdlHwdeiIgVEfEOcAsw\nmuz2uxRsu9K0J6+Wmh3Sd+mKeJjHAAABT0lEQVS2vMtNBSPpX4Fjgc/Huw9BdZXr8CGy/0w9IWkx\n2Xk+JmlHus41KGkAbklNc3OBDWSTHXaJ6+DAUdlLwCGStpck4EiyKdz/BJyY8owHbqtR/drbDLLz\nhU3PewbwxTSi5hDg9bImrS1OepnYWcDxEfFW2aYZwCmSuksaRtZBPLcWdSxSRDwVETtExNCIGEr2\nx3NkRLxCF/stAL8HjgCQ9GFgW7IZcrvEb4GI8KfCBzgPWAg8DVwLdAc+SPYjqCdrvupe63oWcN7X\nk/XrvEP2h2EC8AGy0VSLgHuAfimvyF6w9RzwFNkotJqfQ4HXoZ6s/fov6XN5Wf7vpOvwLHB0retf\n1DVotH0x0L+L/ha2Ba5Lfx8eAz62Jf8WGn885YiZmeXipiozM8vFgcPMzHJx4DAzs1wcOMzMLBcH\nDjMzy8WBw8zMcnHgMDOzXP4/5UKXuSnTV/gAAAAASUVORK5CYII=\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "0qGpDAS9y1gj",
"colab_type": "text"
},
"source": [
"Один из эффективных методов первичного анализа данных - отображение попарных зависимостей признаков. Создается m×m графиков (m - число признаков), где по диагонали рисуются гистограммы распределения признаков, а вне диагонали - scatter plots зависимости двух признаков. \n",
"\n",
"Чтобы проиллюстрировать этот метод, интересней добавить третий признак. Создадим признак Индекс массы тела (BMI). Для этого воспользуемся удобной связкой метода apply Pandas DataFrame и lambda-функций Python."
]
},
{
"cell_type": "code",
"metadata": {
"id": "pBneU1HjzBiq",
"colab_type": "code",
"colab": {}
},
"source": [
"def make_bmi(height_inch, weight_pound):\n",
" METER_TO_INCH, KILO_TO_POUND = 39.37, 2.20462\n",
" return (weight_pound / KILO_TO_POUND) / \\\n",
" (height_inch / METER_TO_INCH) ** 2"
],
"execution_count": 0,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "x9IPxJn3zMaE",
"colab_type": "code",
"outputId": "120c4bc0-c9fb-44e6-85c1-c7f151a25e2d",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 235
}
},
"source": [
"data['BMI'] = data.apply(lambda row: make_bmi(row['Height'], \n",
" row['Weight']), axis=1)\n",
"data.head()"
],
"execution_count": 7,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/html": [
"<div>\n",
"<style scoped>\n",
" .dataframe tbody tr th:only-of-type {\n",
" vertical-align: middle;\n",
" }\n",
"\n",
" .dataframe tbody tr th {\n",
" vertical-align: top;\n",
" }\n",
"\n",
" .dataframe thead th {\n",
" text-align: right;\n",
" }\n",
"</style>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>Height</th>\n",
" <th>Weight</th>\n",
" <th>BMI</th>\n",
" </tr>\n",
" <tr>\n",
" <th>Index</th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>1</th>\n",
" <td>65.78331</td>\n",
" <td>112.9925</td>\n",
" <td>18.357573</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2</th>\n",
" <td>71.51521</td>\n",
" <td>136.4873</td>\n",
" <td>18.762577</td>\n",
" </tr>\n",
" <tr>\n",
" <th>3</th>\n",
" <td>69.39874</td>\n",
" <td>153.0269</td>\n",
" <td>22.338895</td>\n",
" </tr>\n",
" <tr>\n",
" <th>4</th>\n",
" <td>68.21660</td>\n",
" <td>142.3354</td>\n",
" <td>21.504526</td>\n",
" </tr>\n",
" <tr>\n",
" <th>5</th>\n",
" <td>67.78781</td>\n",
" <td>144.2971</td>\n",
" <td>22.077581</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" Height Weight BMI\n",
"Index \n",
"1 65.78331 112.9925 18.357573\n",
"2 71.51521 136.4873 18.762577\n",
"3 69.39874 153.0269 22.338895\n",
"4 68.21660 142.3354 21.504526\n",
"5 67.78781 144.2971 22.077581"
]
},
"metadata": {
"tags": []
},
"execution_count": 7
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "uURRuHV9zZEc",
"colab_type": "text"
},
"source": [
"Построим попарные зависимости признаков , 'Height', 'Weight' и 'BMI' друг от друга"
]
},
{
"cell_type": "code",
"metadata": {
"id": "yGVkxINuzdAC",
"colab_type": "code",
"outputId": "deb96e6d-e1cd-409b-eaf0-d9a1a3137460",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 566
}
},
"source": [
"sns.pairplot(data)"
],
"execution_count": 8,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"<seaborn.axisgrid.PairGrid at 0x7fc04a8a6518>"
]
},
"metadata": {
"tags": []
},
"execution_count": 8
},
{
"output_type": "display_data",
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAhMAAAIUCAYAAACgpq6cAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nmTAzM7Ou/B/0T95rvaNk4gAAAABJRU5ErkJggg==\n",
"text/plain": [
"<Figure size 540x540 with 12 Axes>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "mSv_Eu9Cz5uu",
"colab_type": "text"
},
"source": [
"Часто при первичном анализе данных надо исследовать зависимость какого-то количественного признака от категориального. В этом помогут \"ящики с усами\" - boxplots библиотеки Seaborn. Box plot - это компактный способ показать статистики вещественного признака (среднее и квартили) по разным значениям категориального признака. Также помогает отслеживать \"выбросы\" - наблюдения, в которых значение данного вещественного признака сильно отличается от других. \n",
"\n",
"Создадим новый признак *weight_category*, который будет иметь 3 значения: 1 – если вес меньше 120 фунтов. (~ 54 кг.), 3 - если вес больше или равен 150 фунтов (~68 кг.), 2 – в остальных случаях."
]
},
{
"cell_type": "code",
"metadata": {
"id": "uAOFGa740Pt6",
"colab_type": "code",
"outputId": "7003317a-6057-487f-c7c1-6dfb4512ef0e",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 235
}
},
"source": [
"def weight_category(weight):\n",
" return 1 if weight < 120 else (3 if weight >= 150 else 2)\n",
"\n",
"\n",
"data['weight_cat'] = data['Weight'].apply(weight_category)\n",
"data.head()"
],
"execution_count": 9,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/html": [
"<div>\n",
"<style scoped>\n",
" .dataframe tbody tr th:only-of-type {\n",
" vertical-align: middle;\n",
" }\n",
"\n",
" .dataframe tbody tr th {\n",
" vertical-align: top;\n",
" }\n",
"\n",
" .dataframe thead th {\n",
" text-align: right;\n",
" }\n",
"</style>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>Height</th>\n",
" <th>Weight</th>\n",
" <th>BMI</th>\n",
" <th>weight_cat</th>\n",
" </tr>\n",
" <tr>\n",
" <th>Index</th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>1</th>\n",
" <td>65.78331</td>\n",
" <td>112.9925</td>\n",
" <td>18.357573</td>\n",
" <td>1</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2</th>\n",
" <td>71.51521</td>\n",
" <td>136.4873</td>\n",
" <td>18.762577</td>\n",
" <td>2</td>\n",
" </tr>\n",
" <tr>\n",
" <th>3</th>\n",
" <td>69.39874</td>\n",
" <td>153.0269</td>\n",
" <td>22.338895</td>\n",
" <td>3</td>\n",
" </tr>\n",
" <tr>\n",
" <th>4</th>\n",
" <td>68.21660</td>\n",
" <td>142.3354</td>\n",
" <td>21.504526</td>\n",
" <td>2</td>\n",
" </tr>\n",
" <tr>\n",
" <th>5</th>\n",
" <td>67.78781</td>\n",
" <td>144.2971</td>\n",
" <td>22.077581</td>\n",
" <td>2</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" Height Weight BMI weight_cat\n",
"Index \n",
"1 65.78331 112.9925 18.357573 1\n",
"2 71.51521 136.4873 18.762577 2\n",
"3 69.39874 153.0269 22.338895 3\n",
"4 68.21660 142.3354 21.504526 2\n",
"5 67.78781 144.2971 22.077581 2"
]
},
"metadata": {
"tags": []
},
"execution_count": 9
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "GQ5DoAOfDACw",
"colab_type": "text"
},
"source": [
"Построим «ящик с усами» (boxplot), демонстрирующий зависимость роста от весовой категории"
]
},
{
"cell_type": "code",
"metadata": {
"id": "oykEvvsLBQfj",
"colab_type": "code",
"outputId": "751fb34f-1419-430e-fee2-8ee855c6b511",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 300
}
},
"source": [
"ax = sns.boxplot(x=\"weight_cat\", y=\"Height\", data=data)\n",
"ax.set(xlabel='Весовая категория', ylabel='Рост')"
],
"execution_count": 10,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"[Text(0, 0.5, 'Рост'), Text(0.5, 0, 'Весовая категория')]"
]
},
"metadata": {
"tags": []
},
"execution_count": 10
},
{
"output_type": "display_data",
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAYIAAAEKCAYAAAAfGVI8AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nMys4B4GZWcE5CMzMCu7/A2oqAGIy0iuQAAAAAElFTkSuQmCC\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "SpEeb9ZyS_rY",
"colab_type": "text"
},
"source": [
"Построим scatter plot зависимости роста от веса"
]
},
{
"cell_type": "code",
"metadata": {
"id": "_gBcF3TWTBZS",
"colab_type": "code",
"outputId": "e0c23c05-ce59-44ed-e005-e0f1fcdc40e2",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 312
}
},
"source": [
"ax1 = data.plot(x='Weight', y='Height', kind='scatter', c='DarkBlue')\n",
"ax1.set_title('Зависимость роста от веса')"
],
"execution_count": 11,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"Text(0.5, 1.0, 'Зависимость роста от веса')"
]
},
"metadata": {
"tags": []
},
"execution_count": 11
},
{
"output_type": "display_data",
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAYIAAAEWCAYAAABrDZDcAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "mVuOGLapUYQm",
"colab_type": "text"
},
"source": [
"## Задание 2. Минимизация квадратичной ошибки \n",
"\n",
"В простейшей постановке задача прогноза значения вещественного признака по прочим признакам (задача восстановления регрессии) решается минимизацией квадратичной функции ошибки"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "5C8klC7KUh7e",
"colab_type": "text"
},
"source": [
"Напишите функцию, которая по двум параметрам w0 и w1 вычисляет квадратичную ошибку приближения зависимости роста y от веса x прямой линией $y = w_{0} + w_{1}\\cdot x$ \n",
"$$fun\\_error(w_{0}, w_{1}) =\\sum\\limits_{i=1}^n (y_{i} - (w_{0} + w_{1}\\cdot x))^2 $$ \n",
"\n",
"Здесь n – число наблюдений в наборе данных, yi и xi – рост и вес i -ого человека в наборе данных"
]
},
{
"cell_type": "code",
"metadata": {
"id": "OBqpbi7bVvK-",
"colab_type": "code",
"colab": {}
},
"source": [
"def func(w0, w1, x):\n",
" return (w0 + w1*x)\n",
"\n",
"# quadratic error function\n",
"def qdrtErr (w0, w1): \n",
" return sum([\n",
" (data['Height'][i] - func(w0, w1, data['Weight'][i]))**2 \n",
" for i in range(1, len(data))\n",
" ])"
],
"execution_count": 0,
"outputs": []
},
{
"cell_type": "markdown",
"metadata": {
"id": "Z2H05Egudels",
"colab_type": "text"
},
"source": [
"Итак, мы решаем задачу: как через облако точек, соответсвующих наблюдениям в нашем наборе данных, в пространстве признаков \"Рост\" и \"Вес\" провести прямую линию так, чтобы минимизировать функционал из п. 6. \n",
"Для начала давайте отобразим хоть какие-то прямые и убедимся, что они плохо передают зависимость роста от веса. \n",
"Для этого проведем на графике рост/вес две прямые, соответствующие значениям параметров ($w_0, w_1) = (60, 0.05)$ и ($w_0, w_1) = (50, 0.16)$."
]
},
{
"cell_type": "code",
"metadata": {
"id": "WKNlFOrye0Df",
"colab_type": "code",
"colab": {}
},
"source": [
"def draw_model_plot(w_values):\n",
" ax = data.plot(kind = 'scatter', x = 'Weight', y = 'Height', title = 'Зависимость роста от веса')\n",
" ax.set(xlabel = 'Вес', ylabel = 'Рост')\n",
" \n",
" start = data['Weight'].min()\n",
" end = data['Weight'].max()\n",
" tempX = np.linspace(start, end)\n",
" colors = ['red', 'green', 'blue', 'black', 'orange']\n",
" \n",
" for w in w_values:\n",
" color = colors.pop()\n",
" plt.plot(tempX, func(w[0], w[1], tempX), color=color, label='w0, w1= '+str(w))\n",
" \n",
" plt.legend(loc='best')"
],
"execution_count": 0,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "RCgo07jQfSEq",
"colab_type": "code",
"outputId": "1cc04552-c8db-4019-be82-01424384ad9c",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 295
}
},
"source": [
"draw_model_plot([(60, 0.05), (50, 0.16)])"
],
"execution_count": 14,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAYwAAAEWCAYAAAB1xKBvAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n0Wg0SaENhkaj0WiS4v8Ae8LpqpoveYcAAAAASUVORK5CYII=\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "fWVfB_rEjAKr",
"colab_type": "text"
},
"source": [
"Минимизация квадратичной функции ошибки - относительная простая задача, поскольку функция выпуклая. Для такой задачи существует много методов оптимизации. \n",
"Посмотрим, как функция ошибки зависит от одного параметра (наклон прямой), если второй параметр (свободный член) зафиксировать. \n",
"Построим график зависимости функции ошибки, посчитанной в ранее, от параметра $w_{1}$ при $ w_{0}$ = 50"
]
},
{
"cell_type": "code",
"metadata": {
"id": "ZLS7JaL3jRrO",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 312
},
"outputId": "73b7d691-7cd7-4a25-abc5-5790cd043422"
},
"source": [
"#значения w1 возьмем в диапазоне между предложенными значениями в предыдущем задании\n",
"w_arr = np.arange(-1, 1, 0.1)\n",
"plt.plot(w_arr, [qdrtErr(50, w1) for w1 in w_arr], color='red', \n",
" label='Функция ошибки при w0 = 50')\n",
"plt.title('График зависимости функции ошибки от параметра w1 при w0 = 50')\n",
"plt.xlabel('w1 ')\n",
"plt.ylabel('Ошибка')\n",
"plt.legend(loc='best')"
],
"execution_count": 15,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"<matplotlib.legend.Legend at 0x7fc048b6ee10>"
]
},
"metadata": {
"tags": []
},
"execution_count": 15
},
{
"output_type": "display_data",
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAdYAAAEWCAYAAADb8rbuAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nqybkddsleDUAAAAASUVORK5CYII=\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "KlpqhsWLnSzE",
"colab_type": "text"
},
"source": [
"Теперь методом оптимизации найдем \"оптимальный\" наклон прямой, приближающей зависимость роста от веса, при фиксированном коэффициенте $w_{0}=50 $.\n",
"\n",
"С помощью метода minimize_scalar из scipy.optimize найдем минимум функции ошибки, для значений параметра $w_{1} $ в диапазоне [-5,5]. \n"
]
},
{
"cell_type": "code",
"metadata": {
"id": "wTOUwwgbn4V8",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 34
},
"outputId": "8a0b6690-c3e5-427a-938f-59db727dc8b9"
},
"source": [
"w1_opt = minimize_scalar(lambda w1: qdrtErr(50, w1),(0,0), bounds=(-5,5), method = 'bounded').x\n",
"print('Оптимальное значение параметра w1: {}'.format(w1_opt))"
],
"execution_count": 16,
"outputs": [
{
"output_type": "stream",
"text": [
"Оптимальное значение параметра w1: 0.14109165115062905\n"
],
"name": "stdout"
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "Pgvy2NLgo6OO",
"colab_type": "text"
},
"source": [
"Посмотрим насколько хорошо восстанавливает зависимость прямая соответствующая значениям параметров $(w_0, w_1)$ = (50, w1_opt )"
]
},
{
"cell_type": "code",
"metadata": {
"id": "5E-3ttBrpabB",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 295
},
"outputId": "b7a0e19e-d2e6-421d-d387-a0f789161708"
},
"source": [
"draw_model_plot([(50, w1_opt)])"
],
"execution_count": 17,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAYIAAAEWCAYAAABrDZDcAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nWhFoNBpNnPP/Aajg+pLuSgyYAAAAAElFTkSuQmCC\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "e1O0Kyw-qfb5",
"colab_type": "text"
},
"source": [
"При анализе многомерных данных человек часто хочет получить интуитивное представление о природе данных с помощью визуализации. Увы, при числе признаков больше 3 такие картинки нарисовать невозможно. На практике для визуализации данных в 2D и 3D в данных выделаяют 2 или, соответственно, 3 главные компоненты и отображают данные на плоскости или в объеме.\n",
"\n",
"Посмотрим, как в Python рисовать 3D картинки, на примере отображения функции для значений и из интервала [-5,5] c шагом 0.25."
]
},
{
"cell_type": "code",
"metadata": {
"id": "InZCyd9CqkvX",
"colab_type": "code",
"colab": {}
},
"source": [
"from mpl_toolkits.mplot3d import Axes3D"
],
"execution_count": 0,
"outputs": []
},
{
"cell_type": "markdown",
"metadata": {
"id": "i6k5HWXDqtkK",
"colab_type": "text"
},
"source": [
"Построим 3D-график зависимости функции ошибки, посчитаннойранее от параметров $(w_0, w_1)$ \n",
"\n",
"Создаем объекты типа matplotlib.figure.Figure (рисунок) и matplotlib.axes._subplots.Axes3DSubplot (ось)"
]
},
{
"cell_type": "code",
"metadata": {
"id": "0lsP1C8GquDm",
"colab_type": "code",