Multiple Linear Regression - Estimated Regression Equation |
time_in_rfc[t] = + 1726.94774629695 + 726.03136342151logins[t] + 478.951589961409totblogs[t] + 2068.7518387065compendiums_reviewed[t] -0.0101401607735102totsize[t] + 1.44331529295786totrevisions[t] + e[t] |
Multiple Linear Regression - Ordinary Least Squares | |||||
Variable | Parameter | S.D. | T-STAT H0: parameter = 0 | 2-tail p-value | 1-tail p-value |
(Intercept) | 1726.94774629695 | 11793.16912 | 0.1464 | 0.883774 | 0.441887 |
logins | 726.03136342151 | 115.778094 | 6.2709 | 0 | 0 |
totblogs | 478.951589961409 | 137.014066 | 3.4956 | 0.000622 | 0.000311 |
compendiums_reviewed | 2068.7518387065 | 488.978492 | 4.2308 | 4e-05 | 2e-05 |
totsize | -0.0101401607735102 | 0.138077 | -0.0734 | 0.941555 | 0.470777 |
totrevisions | 1.44331529295786 | 0.653635 | 2.2081 | 0.028752 | 0.014376 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 0.841215137701678 |
R-squared | 0.707642907898452 |
Adjusted R-squared | 0.697897671495067 |
F-TEST (value) | 72.6142372136461 |
F-TEST (DF numerator) | 5 |
F-TEST (DF denominator) | 150 |
p-value | 0 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 44587.7024453476 |
Sum Squared Residuals | 298209481403.228 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
1 | 210907 | 207667.562157112 | 3239.43784288809 |
2 | 120982 | 174197.822844662 | -53215.8228446619 |
3 | 176508 | 186033.631563642 | -9525.63156364166 |
4 | 179321 | 237202.111701489 | -57881.111701489 |
5 | 123185 | 117119.30197021 | 6065.69802979042 |
6 | 52746 | 104514.248366504 | -51768.2483665041 |
7 | 385534 | 235992.810268015 | 149541.189731985 |
8 | 33170 | 56030.9904249962 | -22860.9904249962 |
9 | 149061 | 165629.07381672 | -16568.0738167199 |
10 | 165446 | 138288.927439238 | 27157.0725607616 |
11 | 237213 | 229938.150022722 | 7274.84997727793 |
12 | 173326 | 218897.129375725 | -45571.1293757252 |
13 | 133131 | 144902.5434466 | -11771.5434465996 |
14 | 258873 | 216888.006451071 | 41984.9935489292 |
15 | 180083 | 172410.002852671 | 7672.99714732944 |
16 | 324799 | 316052.220886526 | 8746.77911347383 |
17 | 230964 | 212537.006207487 | 18426.9937925134 |
18 | 236785 | 221214.114678468 | 15570.8853215321 |
19 | 135473 | 173804.613041798 | -38331.6130417985 |
20 | 202925 | 207523.212863752 | -4598.21286375192 |
21 | 215147 | 227331.814076003 | -12184.8140760031 |
22 | 344297 | 197332.589603889 | 146964.410396111 |
23 | 153935 | 133141.776123071 | 20793.2238769289 |
24 | 132943 | 184839.249328107 | -51896.249328107 |
25 | 174724 | 233501.272129723 | -58777.2721297231 |
26 | 174415 | 216021.523406385 | -41606.5234063851 |
27 | 225548 | 225308.762969384 | 239.237030616187 |
28 | 223632 | 208373.083283096 | 15258.9167169038 |
29 | 124817 | 118438.352249011 | 6378.64775098913 |
30 | 221698 | 177133.749625386 | 44564.2503746144 |
31 | 210767 | 226606.610770659 | -15839.6107706585 |
32 | 170266 | 205652.115579852 | -35386.1155798519 |
33 | 260561 | 243485.398614713 | 17075.6013852869 |
34 | 84853 | 102567.466122656 | -17714.4661226557 |
35 | 294424 | 252199.25381389 | 42224.7461861099 |
36 | 215641 | 138320.548573962 | 77320.4514260381 |
37 | 325107 | 227305.386144453 | 97801.6138555466 |
38 | 167542 | 170328.563144745 | -2786.5631447448 |
39 | 106408 | 89917.4166912143 | 16490.5833087857 |
40 | 265769 | 271725.144781743 | -5956.14478174287 |
41 | 269651 | 194148.0500892 | 75502.9499107999 |
42 | 149112 | 172882.81922112 | -23770.8192211203 |
43 | 152871 | 166577.643996691 | -13706.6439966907 |
44 | 111665 | 127208.328713648 | -15543.3287136479 |
45 | 116408 | 155651.955804715 | -39243.9558047152 |
46 | 362301 | 206723.575495427 | 155577.424504573 |
47 | 78800 | 107183.553264509 | -28383.553264509 |
48 | 183167 | 216610.030180357 | -33443.0301803566 |
49 | 277965 | 246125.649644099 | 31839.3503559005 |
50 | 150629 | 184084.637274352 | -33455.6372743523 |
51 | 168809 | 185839.060475674 | -17030.0604756741 |
52 | 24188 | 34607.3263955951 | -10419.3263955951 |
53 | 329267 | 359624.649626195 | -30357.649626195 |
54 | 65029 | 66226.5301458001 | -1197.5301458001 |
55 | 101097 | 101241.130950638 | -144.130950637696 |
56 | 218946 | 179303.588184225 | 39642.4118157747 |
57 | 244052 | 247379.260672027 | -3327.26067202662 |
58 | 233328 | 314738.167289978 | -81410.1672899781 |
59 | 256462 | 280678.576610213 | -24216.576610213 |
60 | 206161 | 167113.663025594 | 39047.3369744063 |
61 | 311473 | 266347.074667723 | 45125.9253322769 |
62 | 235800 | 268499.14778842 | -32699.1477884202 |
63 | 177939 | 179469.576208318 | -1530.57620831751 |
64 | 207176 | 197179.913701294 | 9996.08629870626 |
65 | 196553 | 197952.86772305 | -1399.86772304988 |
66 | 174184 | 162971.188354608 | 11212.8116453924 |
67 | 143246 | 208943.146425105 | -65697.1464251052 |
68 | 187559 | 245232.798582005 | -57673.7985820046 |
69 | 187681 | 196666.420664193 | -8985.42066419279 |
70 | 119016 | 147871.340494052 | -28855.3404940519 |
71 | 182192 | 184236.719526194 | -2044.71952619443 |
72 | 73566 | 88625.732344619 | -15059.732344619 |
73 | 194979 | 192814.770356112 | 2164.22964388785 |
74 | 167488 | 176068.549387214 | -8580.54938721397 |
75 | 143756 | 186392.745739428 | -42636.7457394285 |
76 | 275541 | 202054.973410287 | 73486.0265897134 |
77 | 243199 | 208934.967701194 | 34264.0322988062 |
78 | 182999 | 176947.850511986 | 6051.14948801429 |
79 | 135649 | 163265.841151199 | -27616.8411511987 |
80 | 152299 | 165307.080033725 | -13008.0800337245 |
81 | 120221 | 115557.908755949 | 4663.09124405086 |
82 | 346485 | 235792.461151864 | 110692.538848136 |
83 | 145790 | 132987.394712563 | 12802.6052874366 |
84 | 193339 | 227078.874054298 | -33739.8740542981 |
85 | 80953 | 75042.1899667626 | 5910.81003323741 |
86 | 122774 | 103351.883879274 | 19422.1161207261 |
87 | 130585 | 181749.682039408 | -51164.682039408 |
88 | 286468 | 221107.840085035 | 65360.1599149649 |
89 | 241066 | 219544.881698008 | 21521.1183019917 |
90 | 148446 | 260334.50277194 | -111888.50277194 |
91 | 204713 | 170174.155708182 | 34538.8442918179 |
92 | 182079 | 225632.186906325 | -43553.1869063252 |
93 | 140344 | 132497.738778271 | 7846.26122172935 |
94 | 220516 | 178736.742121861 | 41779.2578781385 |
95 | 243060 | 209852.220962156 | 33207.7790378436 |
96 | 162765 | 165832.328123104 | -3067.32812310426 |
97 | 182613 | 202538.468870047 | -19925.4688700475 |
98 | 232138 | 250679.874868516 | -18541.8748685161 |
99 | 265318 | 296979.100970345 | -31661.1009703445 |
100 | 310839 | 295499.954106177 | 15339.0458938231 |
101 | 225060 | 240530.807939559 | -15470.8079395593 |
102 | 232317 | 231159.740716682 | 1157.25928331776 |
103 | 144966 | 207738.157891197 | -62772.1578911967 |
104 | 43287 | 84916.1906494143 | -41629.1906494143 |
105 | 155754 | 143580.772127874 | 12173.2278721256 |
106 | 164709 | 282090.797636538 | -117381.797636538 |
107 | 201940 | 186432.713063875 | 15507.2869361254 |
108 | 235454 | 210935.640026139 | 24518.3599738614 |
109 | 99466 | 142631.421054633 | -43165.4210546327 |
110 | 100750 | 151709.489750569 | -50959.4897505689 |
111 | 224549 | 178068.389844819 | 46480.610155181 |
112 | 243511 | 230588.712429495 | 12922.2875705053 |
113 | 22938 | 16656.1460407345 | 6281.85395926545 |
114 | 152474 | 195147.011911881 | -42673.0119118811 |
115 | 61857 | 61437.1925924867 | 419.807407513315 |
116 | 132487 | 160289.4605748 | -27802.4605747999 |
117 | 317394 | 251733.800626439 | 65660.1993735608 |
118 | 21054 | 15738.4266524452 | 5315.57334755485 |
119 | 209641 | 138043.716010268 | 71597.2839897316 |
120 | 31414 | 56363.4732482897 | -24949.4732482897 |
121 | 244749 | 216764.16206715 | 27984.8379328496 |
122 | 184510 | 187412.636928062 | -2902.6369280618 |
123 | 128423 | 148547.685110828 | -20124.6851108282 |
124 | 97839 | 131609.916762779 | -33770.9167627785 |
125 | 38214 | 53261.2738943013 | -15047.2738943013 |
126 | 151101 | 143788.592342597 | 7312.40765740265 |
127 | 272458 | 241326.527150988 | 31131.472849012 |
128 | 172494 | 221650.797354904 | -49156.7973549039 |
129 | 328107 | 250195.476877217 | 77911.523122783 |
130 | 250579 | 229106.926377565 | 21472.0736224351 |
131 | 351067 | 324654.456922766 | 26412.543077234 |
132 | 158015 | 150775.90573848 | 7239.09426152019 |
133 | 85439 | 112949.116994968 | -27510.1169949678 |
134 | 229242 | 313255.211961902 | -84013.2119619022 |
135 | 351619 | 297559.059913538 | 54059.9400864625 |
136 | 84207 | 89933.3839594143 | -5726.38395941426 |
137 | 324598 | 270307.200198505 | 54290.7998014954 |
138 | 131069 | 162564.473805644 | -31495.4738056445 |
139 | 204271 | 199729.614774287 | 4541.38522571289 |
140 | 165543 | 189943.914756744 | -24400.9147567443 |
141 | 141722 | 167992.811061057 | -26270.8110610575 |
142 | 299775 | 202841.364357781 | 96933.6356422188 |
143 | 195838 | 244164.98888899 | -48326.9888889898 |
144 | 173260 | 101765.886193973 | 71494.1138060274 |
145 | 254488 | 249190.380334346 | 5297.61966565431 |
146 | 104389 | 184314.913819093 | -79925.9138190927 |
147 | 199476 | 217756.604818196 | -18280.6048181959 |
148 | 224330 | 260708.958665439 | -36378.9586654386 |
149 | 14688 | 14301.3912219382 | 386.608778061776 |
150 | 181633 | 181322.958074624 | 310.041925375588 |
151 | 271856 | 248939.650660588 | 22916.3493394119 |
152 | 7199 | 9016.62698174587 | -1817.62698174587 |
153 | 46660 | 35770.1344713274 | 10889.8655286726 |
154 | 17547 | 12659.2329494804 | 4887.76705051958 |
155 | 95227 | 105684.208363075 | -10457.208363075 |
156 | 152601 | 136262.644685352 | 16338.3553146483 |
Goldfeld-Quandt test for Heteroskedasticity | |||
p-values | Alternative Hypothesis | ||
breakpoint index | greater | 2-sided | less |
9 | 0.868722705693117 | 0.262554588613766 | 0.131277294306883 |
10 | 0.965375086803555 | 0.0692498263928898 | 0.0346249131964449 |
11 | 0.942607458131259 | 0.114785083737482 | 0.057392541868741 |
12 | 0.910712392400468 | 0.178575215199064 | 0.0892876075995318 |
13 | 0.858782242738663 | 0.282435514522674 | 0.141217757261337 |
14 | 0.871144687246379 | 0.257710625507243 | 0.128855312753621 |
15 | 0.813519240660144 | 0.372961518679711 | 0.186480759339856 |
16 | 0.744508153656489 | 0.510983692687022 | 0.255491846343511 |
17 | 0.671817275858014 | 0.656365448283972 | 0.328182724141986 |
18 | 0.593270953019287 | 0.813458093961426 | 0.406729046980713 |
19 | 0.685316313335144 | 0.629367373329711 | 0.314683686664856 |
20 | 0.611882373879869 | 0.776235252240262 | 0.388117626120131 |
21 | 0.535598740316194 | 0.928802519367612 | 0.464401259683806 |
22 | 0.851525281926452 | 0.296949436147096 | 0.148474718073548 |
23 | 0.82673301384424 | 0.346533972311519 | 0.17326698615576 |
24 | 0.789984927838582 | 0.420030144322837 | 0.210015072161418 |
25 | 0.876508445775944 | 0.246983108448112 | 0.123491554224056 |
26 | 0.867731230374186 | 0.264537539251628 | 0.132268769625814 |
27 | 0.850877134529807 | 0.298245730940387 | 0.149122865470194 |
28 | 0.814731747511042 | 0.370536504977916 | 0.185268252488958 |
29 | 0.769674729532564 | 0.460650540934872 | 0.230325270467436 |
30 | 0.754495184052474 | 0.491009631895052 | 0.245504815947526 |
31 | 0.72044492175731 | 0.55911015648538 | 0.27955507824269 |
32 | 0.704969688455886 | 0.590060623088227 | 0.295030311544114 |
33 | 0.681522954544008 | 0.636954090911984 | 0.318477045455992 |
34 | 0.648579871781061 | 0.702840256437877 | 0.351420128218939 |
35 | 0.607347244430393 | 0.785305511139214 | 0.392652755569607 |
36 | 0.735022459983143 | 0.529955080033715 | 0.264977540016857 |
37 | 0.881966496832718 | 0.236067006334564 | 0.118033503167282 |
38 | 0.856021776661696 | 0.287956446676607 | 0.143978223338304 |
39 | 0.823681617939497 | 0.352636764121006 | 0.176318382060503 |
40 | 0.809191852789077 | 0.381616294421847 | 0.190808147210923 |
41 | 0.846666364729252 | 0.306667270541496 | 0.153333635270748 |
42 | 0.819158667490897 | 0.361682665018205 | 0.180841332509103 |
43 | 0.782664462165098 | 0.434671075669803 | 0.217335537834902 |
44 | 0.743876853233515 | 0.512246293532969 | 0.256123146766485 |
45 | 0.713408441100284 | 0.573183117799432 | 0.286591558899716 |
46 | 0.964144022721986 | 0.071711954556029 | 0.0358559772780145 |
47 | 0.955572226968938 | 0.0888555460621243 | 0.0444277730310622 |
48 | 0.950910149972817 | 0.098179700054367 | 0.0490898500271835 |
49 | 0.940796366217795 | 0.11840726756441 | 0.059203633782205 |
50 | 0.931675408051238 | 0.136649183897524 | 0.0683245919487622 |
51 | 0.918599548410875 | 0.16280090317825 | 0.0814004515891249 |
52 | 0.906345269184187 | 0.187309461631627 | 0.0936547308158133 |
53 | 0.952404350262248 | 0.0951912994755031 | 0.0475956497377515 |
54 | 0.938878823785916 | 0.122242352428167 | 0.0611211762140836 |
55 | 0.923450919136522 | 0.153098161726956 | 0.0765490808634781 |
56 | 0.917101923792219 | 0.165796152415561 | 0.0828980762077807 |
57 | 0.896838281187052 | 0.206323437625895 | 0.103161718812948 |
58 | 0.953619800326456 | 0.0927603993470885 | 0.0463801996735443 |
59 | 0.944470997591989 | 0.111058004816022 | 0.0555290024080109 |
60 | 0.939649103958037 | 0.120701792083927 | 0.0603508960419633 |
61 | 0.937390428546485 | 0.125219142907031 | 0.0626095714535155 |
62 | 0.932186174739799 | 0.135627650520401 | 0.0678138252602005 |
63 | 0.915035894863829 | 0.169928210272343 | 0.0849641051361714 |
64 | 0.895752798781528 | 0.208494402436944 | 0.104247201218472 |
65 | 0.872447573439899 | 0.255104853120203 | 0.127552426560101 |
66 | 0.847797664292567 | 0.304404671414866 | 0.152202335707433 |
67 | 0.88067655461016 | 0.23864689077968 | 0.11932344538984 |
68 | 0.893192632915975 | 0.213614734168049 | 0.106807367084025 |
69 | 0.870683754576913 | 0.258632490846174 | 0.129316245423087 |
70 | 0.855835966815608 | 0.288328066368784 | 0.144164033184392 |
71 | 0.82719877911157 | 0.34560244177686 | 0.17280122088843 |
72 | 0.798624234576087 | 0.402751530847825 | 0.201375765423913 |
73 | 0.76370889819657 | 0.47258220360686 | 0.23629110180343 |
74 | 0.726999011099439 | 0.546001977801122 | 0.273000988900561 |
75 | 0.720163756286916 | 0.559672487426167 | 0.279836243713084 |
76 | 0.779148758179332 | 0.441702483641337 | 0.220851241820668 |
77 | 0.76383890742928 | 0.472322185141439 | 0.23616109257072 |
78 | 0.731562582982372 | 0.536874834035256 | 0.268437417017628 |
79 | 0.706363145620579 | 0.587273708758841 | 0.293636854379421 |
80 | 0.667949944232666 | 0.664100111534669 | 0.332050055767334 |
81 | 0.624270971736742 | 0.751458056526515 | 0.375729028263258 |
82 | 0.818245682952704 | 0.363508634094593 | 0.181754317047296 |
83 | 0.788230329503288 | 0.423539340993424 | 0.211769670496712 |
84 | 0.771681118222274 | 0.456637763555453 | 0.228318881777726 |
85 | 0.734903959117466 | 0.530192081765069 | 0.265096040882534 |
86 | 0.70227434337711 | 0.59545131324578 | 0.29772565662289 |
87 | 0.714851969567156 | 0.570296060865688 | 0.285148030432844 |
88 | 0.772453003035832 | 0.455093993928337 | 0.227546996964168 |
89 | 0.745925265416225 | 0.508149469167549 | 0.254074734583775 |
90 | 0.899048907592165 | 0.20190218481567 | 0.100951092407835 |
91 | 0.891988431284719 | 0.216023137430562 | 0.108011568715281 |
92 | 0.892903805378473 | 0.214192389243055 | 0.107096194621527 |
93 | 0.869772284480147 | 0.260455431039706 | 0.130227715519853 |
94 | 0.868038550795302 | 0.263922898409395 | 0.131961449204698 |
95 | 0.856729760789577 | 0.286540478420846 | 0.143270239210423 |
96 | 0.827200550340903 | 0.345598899318195 | 0.172799449659097 |
97 | 0.804199065055492 | 0.391601869889017 | 0.195800934944508 |
98 | 0.780652298645528 | 0.438695402708943 | 0.219347701354472 |
99 | 0.755908745951431 | 0.488182508097138 | 0.244091254048569 |
100 | 0.719825513082942 | 0.560348973834116 | 0.280174486917058 |
101 | 0.679050779935852 | 0.641898440128296 | 0.320949220064148 |
102 | 0.635758776682019 | 0.728482446635962 | 0.364241223317981 |
103 | 0.655209526210008 | 0.689580947579984 | 0.344790473789992 |
104 | 0.652016100309256 | 0.695967799381487 | 0.347983899690744 |
105 | 0.607239065760849 | 0.785521868478302 | 0.392760934239151 |
106 | 0.88902688363174 | 0.221946232736519 | 0.11097311636826 |
107 | 0.864012180074988 | 0.271975639850024 | 0.135987819925012 |
108 | 0.838666990498063 | 0.322666019003875 | 0.161333009501937 |
109 | 0.843151240893716 | 0.313697518212569 | 0.156848759106284 |
110 | 0.847801116586033 | 0.304397766827935 | 0.152198883413967 |
111 | 0.840788961038409 | 0.318422077923183 | 0.159211038961591 |
112 | 0.808482543968304 | 0.383034912063392 | 0.191517456031696 |
113 | 0.768847311196415 | 0.462305377607169 | 0.231152688803585 |
114 | 0.7747433356579 | 0.4505133286842 | 0.2252566643421 |
115 | 0.730475235119782 | 0.539049529760435 | 0.269524764880218 |
116 | 0.695183424523244 | 0.609633150953511 | 0.304816575476756 |
117 | 0.734334633394643 | 0.531330733210714 | 0.265665366605357 |
118 | 0.685186865387709 | 0.629626269224583 | 0.314813134612291 |
119 | 0.777714996440404 | 0.444570007119193 | 0.222285003559596 |
120 | 0.745193102088691 | 0.509613795822617 | 0.254806897911309 |
121 | 0.708796132707472 | 0.582407734585056 | 0.291203867292528 |
122 | 0.655732114932511 | 0.688535770134978 | 0.344267885067489 |
123 | 0.60091938013917 | 0.798161239721659 | 0.39908061986083 |
124 | 0.569911790902702 | 0.860176418194597 | 0.430088209097298 |
125 | 0.514978223049724 | 0.970043553900552 | 0.485021776950276 |
126 | 0.452511997027962 | 0.905023994055925 | 0.547488002972038 |
127 | 0.40525302003309 | 0.81050604006618 | 0.59474697996691 |
128 | 0.424423323718609 | 0.848846647437217 | 0.575576676281391 |
129 | 0.500031586044277 | 0.999936827911446 | 0.499968413955723 |
130 | 0.453598605124612 | 0.907197210249225 | 0.546401394875388 |
131 | 0.406714918521871 | 0.813429837043741 | 0.593285081478129 |
132 | 0.34050945826231 | 0.68101891652462 | 0.65949054173769 |
133 | 0.298069190869075 | 0.59613838173815 | 0.701930809130925 |
134 | 0.923908640803728 | 0.152182718392544 | 0.0760913591962722 |
135 | 0.897037889285452 | 0.205924221429095 | 0.102962110714548 |
136 | 0.896979844146834 | 0.206040311706332 | 0.103020155853166 |
137 | 0.857155906362172 | 0.285688187275657 | 0.142844093637828 |
138 | 0.893235618174191 | 0.213528763651618 | 0.106764381825809 |
139 | 0.865017782819026 | 0.269964434361948 | 0.134982217180974 |
140 | 0.807957018903836 | 0.384085962192328 | 0.192042981096164 |
141 | 0.998438080222511 | 0.003123839554977 | 0.0015619197774885 |
142 | 0.999844290223574 | 0.000311419552851089 | 0.000155709776425545 |
143 | 0.999996122956068 | 7.75408786343386e-06 | 3.87704393171693e-06 |
144 | 0.999976178493783 | 4.76430124343377e-05 | 2.38215062171689e-05 |
145 | 0.999966767076443 | 6.64658471129917e-05 | 3.32329235564958e-05 |
146 | 0.99967835877063 | 0.000643282458738992 | 0.000321641229369496 |
147 | 0.997452078316159 | 0.00509584336768162 | 0.00254792168384081 |
Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity | |||
Description | # significant tests | % significant tests | OK/NOK |
1% type I error level | 7 | 0.0503597122302158 | NOK |
5% type I error level | 7 | 0.0503597122302158 | NOK |
10% type I error level | 13 | 0.0935251798561151 | OK |