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Re: Analysis of team ranking
It runs out of memory after a few seconds computing least squares. I guess my script was too quick and dirty to handle that much data
Ok, closed out of my memory-hog browser and reran it. It finished in 68 seconds. It's single threaded --> only using 1 core. I don't know the exact specs but I'm using an old laptop. If you want it to run faster you could get a reasonable estimate running the script for each regional and averaging the results for teams that competed in multiple regionals. My script basically ran instantly on the DC regional alone, it just didn't scale well.
Results:
1 (1114, 119.53710628381191)
2 (2056, 107.52392526361433)
3 (1730, 98.937520154912633)
4 (2481, 85.411141027422389)
5 (1678, 83.604692998775761)
6 (987, 81.614933990522147)
7 (118, 80.969024034928296)
8 (4488, 80.539400149979258)
9 (254, 79.885031034931174)
10 (148, 79.432991922526838)
11 (5406, 78.607729049050903)
12 (1519, 78.606114913994432)
13 (1619, 77.525461715196158)
14 (1658, 72.769643357190205)
15 (3130, 71.271318091324432)
16 (1671, 70.02262062115436)
17 (2338, 68.377599976884255)
18 (1280, 68.31086262054076)
19 (3683, 68.046518730572274)
20 (314, 67.063058451290729)
21 (4143, 66.197146406242695)
22 (2085, 65.826088138212199)
23 (1756, 65.300090499752486)
24 (225, 64.935706448058212)
25 (1538, 64.559840785724475)
26 (330, 64.541264057923442)
27 (2852, 64.483030815000632)
28 (1986, 62.974425411332938)
29 (2451, 62.637597604073804)
30 (2974, 60.564349115146001)
31 (1023, 60.560211511217332)
32 (1983, 59.916674128430934)
33 (744, 59.594728708265407)
34 (1657, 59.279400181300687)
35 (67, 58.964359968912603)
36 (2122, 58.817777660610751)
37 (2342, 57.489327516287716)
38 (1640, 57.464812178955)
39 (2826, 56.916928984985773)
40 (234, 56.858881704686439)
41 (3339, 56.533409767618949)
42 (4655, 56.39313720643888)
43 (3230, 56.122255030023631)
44 (1574, 55.625450146975965)
45 (624, 55.340768974856552)
46 (2077, 55.213700500454443)
47 (525, 55.123176093827624)
48 (2783, 54.867531033295869)
49 (303, 54.677252325474406)
50 (2512, 54.663228166283453)
51 (1156, 53.95917064433668)
52 (701, 53.489926552157726)
53 (135, 53.310632416341505)
54 (3824, 52.981920713390842)
55 (4678, 52.90258841628895)
56 (2137, 52.82827564039772)
57 (1806, 52.545135953520244)
58 (4201, 52.100455606412289)
59 (4967, 51.976661185189229)
60 (58, 51.708557689346009)
61 (1569, 50.999721751403754)
62 (2587, 50.879055731499093)
63 (3663, 50.352150843306362)
64 (3360, 50.32364073573774)
65 (70, 50.212423608681007)
66 (456, 49.514397347218271)
67 (226, 49.421619066877071)
68 (3419, 49.291886530691805)
69 (4613, 49.182337568239383)
70 (2383, 48.952668799007341)
71 (4451, 48.461565771037783)
72 (4039, 48.428887067643302)
73 (60, 48.304027027456911)
74 (3452, 48.237009235381947)
75 (694, 48.146194119499853)
76 (2643, 47.617699872486028)
77 (85, 47.524384916070105)
78 (1403, 47.469950277471035)
79 (494, 47.374147160288466)
80 (1918, 47.291935686802972)
81 (287, 47.257974979802917)
82 (2386, 46.953430407180903)
83 (203, 46.861955923046182)
84 (1024, 46.697459369030227)
85 (876, 46.137245094936418)
86 (3646, 46.13325578237896)
87 (340, 46.084590782880028)
88 (3132, 45.713812619738299)
89 (4564, 45.704005687502573)
90 (71, 45.592449645849975)
91 (2337, 45.302005071186898)
92 (3200, 45.067571065424303)
93 (379, 44.960948960140477)
94 (2054, 44.735136796993629)
95 (1208, 44.698482053595882)
96 (78, 44.46540330346042)
97 (2767, 44.397595621836118)
98 (1676, 44.241945432579165)
99 (2231, 44.074739609953014)
100 (1876, 44.059135373758906)
101 (5188, 44.006924999206518)
102 (33, 43.991463573919681)
103 (662, 43.937410242633831)
104 (107, 43.844215107033079)
105 (2883, 43.838433292634448)
106 (126, 43.680710097846031)
107 (4522, 43.658797513513953)
108 (125, 43.554274627035511)
109 (4539, 43.541714417941485)
110 (2457, 43.313197516131233)
111 (1768, 43.202978983685014)
112 (2062, 42.91184275827608)
113 (3996, 42.878462653349217)
114 (1218, 42.221423588184592)
115 (4947, 42.21385679919382)
116 (4028, 42.184039856147834)
117 (4003, 42.058582095894693)
118 (230, 41.974917059019731)
119 (610, 41.906402824077851)
120 (2607, 41.670540732672599)
121 (4917, 41.384462943129392)
122 (3688, 41.147751248112812)
123 (3930, 41.033422854244797)
124 (1493, 40.986924808173157)
125 (4500, 40.741418876306227)
126 (4118, 40.695131685614619)
127 (971, 40.523141542947506)
128 (3238, 40.466262103026601)
129 (359, 40.422448697174524)
130 (61, 40.330053037398599)
131 (3418, 40.150604856512359)
132 (48, 40.137305510265087)
133 (2996, 40.028508239671567)
134 (2619, 39.968708976433774)
135 (5030, 39.877431370188553)
136 (263, 39.839439286180657)
137 (4048, 39.825826430840849)
138 (1296, 39.808174436676225)
139 (56, 39.662074105094518)
140 (4049, 39.655310597148734)
141 (4946, 39.601027916048579)
142 (3604, 39.539475208943301)
143 (348, 39.481859806964366)
144 (1318, 39.370452934396013)
145 (3467, 39.295360485121932)
146 (4911, 39.224358414364175)
147 (3616, 39.110279455887301)
148 (5618, 39.086526813133673)
149 (2635, 38.980266823053611)
150 (2930, 38.840601375514616)
151 (3374, 38.81788764505211)
152 (4256, 38.784719563512631)
153 (973, 38.463844062433054)
154 (51, 38.334314781676767)
155 (384, 38.201138768628411)
156 (2590, 38.147515826742477)
157 (4096, 38.116308218237869)
158 (4623, 38.092545615566564)
159 (4952, 37.86114845595975)
160 (133, 37.828067879761136)
161 (1718, 37.787600674391747)
162 (2474, 37.692730385543939)
163 (3743, 37.59312775479782)
164 (1816, 37.542280174166791)
165 (2410, 37.496877654564656)
166 (1501, 37.104342080915757)
167 (3620, 37.037606938363133)
168 (5122, 36.982541576210828)
169 (4481, 36.865262298598083)
170 (3937, 36.841636721001414)
171 (1647, 36.751313815118657)
172 (3284, 36.74635714111696)
173 (1310, 36.716915159692995)
174 (3711, 36.708942403153074)
175 (2168, 36.657044244067841)
176 (219, 36.622331677278126)
177 (4618, 36.592685886997145)
178 (4009, 36.541388801745121)
179 (179, 36.46999930280974)
180 (192, 36.428357257530422)
181 (1511, 36.412379877666389)
182 (2468, 36.411558461182182)
183 (1466, 36.410653763267597)
184 (176, 36.341368086411364)
185 (3954, 36.106465544323413)
186 (236, 36.030241466107022)
187 (1065, 35.866091693146807)
188 (217, 35.739433335936802)
189 (293, 35.714822450042767)
190 (3171, 35.700953362598391)
191 (4450, 35.675245209103132)
192 (3478, 35.497911882995631)
193 (1025, 35.33059600491984)
194 (2067, 35.302384982157086)
195 (858, 35.220534346307758)
196 (20, 35.213858881906404)
197 (3787, 35.200316831586413)
198 (3245, 35.154820267538746)
199 (3947, 34.936457120925624)
200 (5124, 34.900427199797058)
201 (1690, 34.843920361381095)
202 (2605, 34.842650608275285)
203 (469, 34.826502670309935)
204 (88, 34.781860065335088)
205 (4471, 34.776523328229906)
206 (3055, 34.772009951076569)
207 (1629, 34.734579749225233)
208 (492, 34.62041348642861)
209 (4859, 34.584359681765029)
210 (2470, 34.584346687341977)
211 (188, 34.462145048031729)
212 (5155, 34.435692705316441)
213 (2522, 34.35816391473486)
214 (34, 34.173866945917425)
215 (5415, 34.146785509913705)
216 (1502, 34.067087880802461)
217 (4001, 34.064597422588839)
218 (4055, 33.916169496312733)
219 (1094, 33.883434363608139)
220 (1523, 33.871609512708311)
221 (5479, 33.849391237999257)
222 (3528, 33.828080185259267)
223 (5069, 33.77734334023711)
224 (3574, 33.690314713091702)
225 (1572, 33.650008671190953)
226 (2170, 33.575593261620348)
227 (3015, 33.547013037090167)
228 (3959, 33.523300871264311)
229 (3044, 33.406171382153723)
230 (904, 33.342751678172135)
231 (846, 33.327700541596251)
232 (4377, 33.305432679592052)
233 (670, 33.259397175471463)
234 (3309, 33.247368517097016)
235 (5753, 33.236142903316946)
236 (2169, 33.094046510981954)
237 (5492, 33.046067910839866)
238 (4061, 33.01891123496646)
239 (280, 32.985235881445348)
240 (1937, 32.945294053227798)
241 (4330, 32.895140642192821)
242 (2959, 32.807809147273616)
243 (4381, 32.793946338233482)
244 (245, 32.711707797251968)
245 (292, 32.579249817782227)
246 (4914, 32.53912196307197)
247 (246, 32.470985984479007)
248 (2471, 32.404626971136231)
249 (4646, 32.384273327934203)
250 (1225, 32.374217436032403)
251 (1261, 32.345344589914419)
252 (3618, 32.319420811573949)
253 (706, 32.087559612208366)
254 (2489, 32.080162945238371)
255 (5674, 32.068028144346975)
256 (365, 32.063866801911502)
257 (2550, 31.968333087158392)
258 (2907, 31.963996692538135)
259 (4543, 31.937642440156992)
260 (2344, 31.883372165807916)
261 (5172, 31.746782970946477)
262 (3968, 31.738032978366853)
263 (4004, 31.660944083506916)
264 (5603, 31.656178443794023)
265 (3547, 31.624098353856535)
266 (27, 31.615954801848815)
267 (5511, 31.59945800797674)
268 (4485, 31.588001091120738)
269 (1595, 31.558596969881869)
270 (3539, 31.556723877535198)
271 (2478, 31.435819566154908)
272 (3039, 31.41599321476928)
273 (447, 31.408100879172181)
274 (3955, 31.397208810781596)
275 (2040, 31.396818339564696)
276 (4384, 31.36827170756532)
277 (5112, 31.338720289318339)
278 (1712, 31.225301368796138)
279 (1763, 31.219614687869981)
280 (1319, 31.027832060889921)
281 (5053, 31.026096768004098)
282 (316, 31.004945681413208)
283 (195, 31.002772387355328)
284 (138, 30.978073568382566)
285 (5502, 30.96655526350947)
286 (1477, 30.854716412418391)
287 (5776, 30.833279403898562)
288 (45, 30.771497026266104)
289 (3588, 30.730249883028147)
290 (222, 30.661345061396982)
291 (2081, 30.585445374235022)
292 (5554, 30.579978307945261)
293 (1720, 30.573435485801873)
294 (4624, 30.501204083289633)
295 (4498, 30.421878762510477)
296 (2526, 30.412593900599504)
297 (5758, 30.403677283741686)
298 (3003, 30.289741529784614)
299 (383, 30.274427792634622)
300 (1723, 30.218861857075929)
301 (811, 30.192776246588522)
302 (342, 30.168485860212456)
303 (4189, 30.13965943188408)
304 (171, 30.111080057728859)
305 (1885, 30.08157855417863)
306 (3501, 30.056119432123456)
307 (885, 30.042265795522237)
308 (4325, 29.978999286032156)
309 (3612, 29.972457662016737)
310 (433, 29.965135411743013)
311 (343, 29.815721870600417)
312 (4550, 29.783543177508189)
313 (5735, 29.760366282137795)
314 (3451, 29.623168415939425)
315 (193, 29.597381522938797)
316 (1665, 29.477226112588852)
317 (5038, 29.371603785511478)
318 (5013, 29.367568082295421)
319 (1577, 29.351057855544511)
320 (1522, 29.329602508326648)
321 (3623, 29.319629407542678)
322 (3944, 29.165672846015873)
323 (5254, 29.152950147461201)
324 (3570, 29.146301900278111)
325 (308, 29.108891367260316)
326 (2867, 29.07047844203802)
327 (4905, 29.050359447749955)
328 (4103, 29.008081199277097)
329 (93, 29.002439064178919)
330 (269, 28.990050531142835)
331 (3357, 28.987813199246801)
332 (4906, 28.987217737312413)
333 (1492, 28.931717575968353)
334 (1735, 28.843015541771116)
335 (5442, 28.724169408312502)
336 (3336, 28.712610544003628)
337 (5413, 28.696880079236056)
338 (4364, 28.611574275852828)
339 (1775, 28.584899036665753)
340 (3065, 28.525796636906136)
341 (2612, 28.469954244499142)
342 (2052, 28.430475381231936)
343 (157, 28.411865437907171)
344 (4586, 28.402948306541667)
345 (418, 28.385761801791819)
346 (1706, 28.370790285515668)
347 (538, 28.361433414481329)
348 (166, 28.36103280869056)
349 (2834, 28.349114945963684)
350 (862, 28.341719529492536)
351 (339, 28.312336861693979)
352 (2501, 28.291988136942045)
353 (5332, 28.221843780634114)
354 (3546, 28.219951278962149)
355 (1089, 28.179779922305691)
356 (74, 28.170630647060285)
357 (16, 28.153537909491376)
358 (3970, 28.068452679409923)
359 (2016, 28.054055944982938)
360 (4909, 28.046294197793365)
361 (1732, 28.004259847789143)
362 (5722, 28.000893562008127)
363 (5470, 27.964602396088338)
364 (4505, 27.957193742959475)
365 (1507, 27.918932823151927)
366 (2609, 27.881283715612394)
367 (3735, 27.842927062337381)
368 (1325, 27.83399855612867)
369 (2771, 27.805249600837143)
370 (3234, 27.777086187904139)
371 (364, 27.773516882454661)
372 (1287, 27.695541678956054)
373 (868, 27.686820418135625)
374 (4343, 27.674281064913401)
375 (1099, 27.628699640049589)
376 (4991, 27.614565128957356)
377 (4681, 27.606551378589774)
378 (2655, 27.585967703038538)
379 (967, 27.543757884969985)
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381 (2075, 27.489002477372793)
382 (4546, 27.487066617423164)
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486 (4237, 24.795618934831069)
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1930 (468, 2.4249445253495452)
1931 (4316, 2.4154190312528234)
1932 (832, 2.3896951461772367)
1933 (4739, 2.3758433078076675)
1934 (271, 2.3528768331460421)
1935 (4053, 2.3459907616074194)
1936 (4335, 2.3193747406024383)
1937 (4378, 2.2885253893875186)
1938 (1716, 2.2460283070541793)
1939 (2532, 2.2245476691802972)
1940 (177, 2.2197710483159767)
1941 (4649, 2.2164849427276887)
1942 (1786, 2.1785390447517301)
1943 (5329, 2.1784256537000424)
1944 (2106, 2.1731576587137034)
1945 (1899, 2.155975627210895)
1946 (4291, 2.1382759946007894)
1947 (3297, 2.1373810849653285)
1948 (514, 2.1104002392788916)
1949 (4776, 2.10752549999936)
1950 (3160, 2.0919319806069883)
1951 (4035, 2.0581370727974173)
1952 (5143, 2.0570142016493689)
1953 (2543, 2.0549796683460921)
1954 (5553, 2.0312558322054972)
1955 (3029, 2.0012105678446233)
1956 (888, 1.9733412866993714)
1957 (4818, 1.960540935785164)
1958 (3997, 1.9046296450651501)
1959 (4296, 1.875614152445225)
1960 (886, 1.8366737309182568)
1961 (3617, 1.7869275164567551)
1962 (3712, 1.786743748548357)
1963 (5003, 1.7821350761119084)
1964 (136, 1.7806593125081491)
1965 (2001, 1.7353097101149333)
1966 (4265, 1.7119372233648948)
1967 (4506, 1.6398028727312761)
1968 (5759, 1.6389429309843759)
1969 (499, 1.6296072797872518)
1970 (2634, 1.6184201644462242)
1971 (5273, 1.615391128682639)
1972 (5240, 1.5866046576372799)
1973 (3932, 1.5520322073853277)
1974 (5486, 1.550140000933057)
1975 (4746, 1.530019884626147)
1976 (3676, 1.5275755900622188)
1977 (5641, 1.5250501189603032)
1978 (714, 1.5161596439605072)
1979 (5560, 1.5047139451403773)
1980 (5464, 1.4714626645031283)
1981 (5207, 1.4552401302084477)
1982 (2586, 1.4389365583288569)
1983 (4901, 1.4331484517071462)
1984 (4854, 1.4266156938314181)
1985 (5135, 1.4144366040051661)
1986 (5250, 1.4138439895597152)
1987 (3006, 1.4125927448594862)
1988 (4768, 1.3628137921052716)
1989 (5421, 1.3297700015758236)
1990 (1994, 1.3283402531410557)
1991 (4065, 1.3129637218326178)
1992 (5080, 1.3037091762849613)
1993 (2830, 1.2893982597573719)
1994 (4516, 1.2278007778775937)
1995 (5639, 1.1859457940752018)
1996 (4470, 1.1668213179193436)
1997 (5670, 1.1023982856714671)
1998 (1965, 1.090569897853273)
1999 (2048, 1.0647725219671678)
2000 (224, 1.0592017519849648)
2001 (2491, 1.0327813882156693)
2002 (5622, 1.0053550304949574)
2003 (5092, 0.9761417379400168)
2004 (5583, 0.96865016883601551)
2005 (4614, 0.94890534621633971)
2006 (4696, 0.93133356181886273)
2007 (1571, 0.92306225375204387)
2008 (3345, 0.92272367815652412)
2009 (421, 0.88358742145534686)
2010 (5648, 0.87451545885190352)
2011 (4757, 0.80282520580686545)
2012 (5561, 0.77400478010715901)
2013 (2360, 0.75508258417021423)
2014 (5467, 0.75352458117194587)
2015 (4090, 0.74472559875291322)
2016 (2473, 0.73532766103243552)
2017 (4244, 0.73397829641860635)
2018 (4353, 0.63560642684621382)
2019 (4978, 0.60542778478719317)
2020 (3781, 0.59504797747290039)
2021 (4841, 0.59004411619813801)
2022 (3255, 0.5810465132294006)
2023 (5310, 0.57673949159014182)
2024 (4247, 0.56967675484618518)
2025 (5136, 0.52102984923353091)
2026 (2346, 0.49397001641159521)
2027 (3370, 0.46951477407945041)
2028 (5666, 0.44390572816053364)
2029 (4, 0.4306228979039588)
2030 (3302, 0.40207695189753068)
2031 (4748, 0.40054787318280721)
2032 (1438, 0.35325263374189436)
2033 (2393, 0.35213063533712891)
2034 (2029, 0.34372910656585376)
2035 (2399, 0.33640170027807154)
2036 (3131, 0.29971469544445972)
2037 (322, 0.29050518531574365)
2038 (4643, 0.2426223138440845)
2039 (5598, 0.23411363482723413)
2040 (5519, 0.2039588059208457)
2041 (5633, 0.17749790639714469)
2042 (3026, 0.17714070309077301)
2043 (5252, 0.15788122958137274)
2044 (4692, 0.12808701762749658)
2045 (1984, 0.10877219279701666)
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2249 (256, -15.438268674725213)
2250 (2613, -16.231781671266916)
67.87user 0.10system 1:08.05elapsed 99%CPU (0avgtext+0avgdata 399012maxresident)k
0inputs+0outputs (0major+53269minor)pagefaults 0swaps
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