Multiple Linear Regression - Estimated Regression Equation |
time_in_rfc[t] = + 2350.61683881284 + 727.315966499253logins[t] + 709.318259034362totblogs[t] + 2168.37961742212compendiums_reviewed[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) | 2350.61683881284 | 11884.02404 | 0.1978 | 0.843469 | 0.421734 |
logins | 727.315966499253 | 116.939692 | 6.2196 | 0 | 0 |
totblogs | 709.318259034362 | 92.611859 | 7.659 | 0 | 0 |
compendiums_reviewed | 2168.37961742212 | 475.406119 | 4.5611 | 1e-05 | 5e-06 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 0.834913333352228 |
R-squared | 0.697080274209329 |
Adjusted R-squared | 0.691101595410829 |
F-TEST (value) | 116.594367702813 |
F-TEST (DF numerator) | 3 |
F-TEST (DF denominator) | 152 |
p-value | 0 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 45086.4343404011 |
Sum Squared Residuals | 308983557352.758 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
1 | 210907 | 210982.847045417 | -75.8470454171264 |
2 | 120982 | 175436.084413061 | -54454.0844130609 |
3 | 176508 | 193537.293877181 | -17029.2938771806 |
4 | 179321 | 225763.136572446 | -46442.1365724458 |
5 | 123185 | 121706.702624131 | 1478.29737586865 |
6 | 52746 | 103865.479897575 | -51119.4798975751 |
7 | 385534 | 225615.005493245 | 159918.994506755 |
8 | 33170 | 58019.7286445694 | -24849.7286445694 |
9 | 149061 | 150313.123176642 | -1252.12317664154 |
10 | 165446 | 136597.676632556 | 28848.3233674442 |
11 | 237213 | 235927.002384155 | 1285.99761584534 |
12 | 173326 | 217089.949262001 | -43763.9492620006 |
13 | 133131 | 149963.479060997 | -16832.4790609971 |
14 | 258873 | 225645.451459154 | 33227.5485408457 |
15 | 180083 | 183661.111379002 | -3578.11137900205 |
16 | 324799 | 310610.446150108 | 14188.5538498924 |
17 | 230964 | 212347.490441091 | 18616.5095589088 |
18 | 236785 | 220668.946564437 | 16116.0534355634 |
19 | 135473 | 175673.312858527 | -40200.3128585268 |
20 | 202925 | 221245.840251137 | -18320.8402511369 |
21 | 215147 | 210552.073243227 | 4594.92675677323 |
22 | 344297 | 205650.257414975 | 138646.742585025 |
23 | 153935 | 130213.812301247 | 23721.1876987534 |
24 | 132943 | 191907.114294922 | -58964.1142949224 |
25 | 174724 | 227397.465574185 | -52673.4655741853 |
26 | 174415 | 205431.306682882 | -31016.3066828821 |
27 | 225548 | 230473.418238663 | -4925.41823866345 |
28 | 223632 | 203607.581743899 | 20024.4182561006 |
29 | 124817 | 122537.295404123 | 2279.70459587719 |
30 | 221698 | 186080.007718058 | 35617.9922819422 |
31 | 210767 | 204163.779486528 | 6603.22051347174 |
32 | 170266 | 225762.296554722 | -55496.2965547221 |
33 | 260561 | 238804.420254703 | 21756.5797452967 |
34 | 84853 | 109100.393316881 | -24247.3933168811 |
35 | 294424 | 244820.031597752 | 49603.968402248 |
36 | 215641 | 150591.667633486 | 65049.3323665145 |
37 | 325107 | 217673.843580597 | 107433.156419403 |
38 | 167542 | 169941.515415435 | -2399.51541543497 |
39 | 106408 | 83609.459098109 | 22798.540901891 |
40 | 265769 | 263045.086789335 | 2723.91321066495 |
41 | 269651 | 190610.592315534 | 79040.4076844656 |
42 | 149112 | 175009.74003626 | -25897.7400362598 |
43 | 152871 | 154901.850315994 | -2030.85031599424 |
44 | 111665 | 126806.493234497 | -15141.4932344967 |
45 | 116408 | 158947.10797707 | -42539.1079770701 |
46 | 362301 | 210150.447199878 | 152150.552800122 |
47 | 78800 | 104171.440924478 | -25371.4409244782 |
48 | 183167 | 225003.69460459 | -41836.6946045902 |
49 | 277965 | 259464.918309932 | 18500.0816900679 |
50 | 150629 | 186062.010010593 | -35433.0100105929 |
51 | 168809 | 181290.607559985 | -12481.6075599848 |
52 | 24188 | 33444.9463177239 | -9256.94631772393 |
53 | 329267 | 375306.131765427 | -46039.1317654271 |
54 | 65029 | 68641.5048226199 | -3612.50482261992 |
55 | 101097 | 104082.292404877 | -2985.29240487738 |
56 | 218946 | 172369.270605269 | 46576.7293947308 |
57 | 244052 | 241556.134178906 | 2495.86582109448 |
58 | 233328 | 322214.153282437 | -88886.1532824369 |
59 | 256462 | 272358.910930713 | -15896.9109307127 |
60 | 206161 | 162938.321362416 | 43222.6786375842 |
61 | 311473 | 270478.214626821 | 40994.785373179 |
62 | 235800 | 247559.017257602 | -11759.0172576022 |
63 | 177939 | 183320.606120044 | -5381.606120044 |
64 | 207176 | 194292.026413739 | 12883.973586261 |
65 | 196553 | 183297.007810223 | 13255.9921897771 |
66 | 174184 | 158946.496811919 | 15237.5031880811 |
67 | 143246 | 216672.69258855 | -73426.6925885504 |
68 | 187559 | 241477.295692958 | -53918.2956929581 |
69 | 187681 | 208882.028832465 | -21201.0288324653 |
70 | 119016 | 146079.920761197 | -27063.9207611974 |
71 | 182192 | 189326.238588683 | -7134.23858868269 |
72 | 73566 | 93230.4154433568 | -19664.4154433568 |
73 | 194979 | 193052.806958503 | 1926.1930414966 |
74 | 167488 | 175947.427889982 | -8459.42788998153 |
75 | 143756 | 193231.612856185 | -49475.6128561853 |
76 | 275541 | 197753.058596976 | 77787.9414030244 |
77 | 243199 | 209115.999029509 | 34083.0009704911 |
78 | 182999 | 176254.560093852 | 6744.43990614835 |
79 | 135649 | 166825.137910638 | -31176.1379106378 |
80 | 152299 | 166363.078124815 | -14064.0781248148 |
81 | 120221 | 111722.253875256 | 8498.7461247444 |
82 | 346485 | 233907.033851841 | 112577.966148159 |
83 | 145790 | 131503.486624547 | 14286.5133754533 |
84 | 193339 | 234988.423359374 | -41649.4233593739 |
85 | 80953 | 79021.0119646641 | 1931.98803533586 |
86 | 122774 | 106272.539143338 | 16501.4608566621 |
87 | 130585 | 163238.121775147 | -32653.1217751469 |
88 | 286468 | 214654.175239112 | 71813.8247608885 |
89 | 241066 | 199289.431381671 | 41776.5686183287 |
90 | 148446 | 250908.244935811 | -102462.244935811 |
91 | 204713 | 177326.810744698 | 27386.1892553018 |
92 | 182079 | 238893.517620969 | -56814.5176209686 |
93 | 140344 | 140504.222077025 | -160.222077025437 |
94 | 220516 | 185636.225645608 | 34879.7743543925 |
95 | 243060 | 194044.767940528 | 49015.2320594724 |
96 | 162765 | 157271.182958045 | 5493.81704195547 |
97 | 182613 | 197118.989416223 | -14505.9894162231 |
98 | 232138 | 247306.489341278 | -15168.489341278 |
99 | 265318 | 290285.74392254 | -24967.7439225397 |
100 | 310839 | 295087.770038294 | 15751.2299617063 |
101 | 225060 | 220605.25457354 | 4454.74542646019 |
102 | 232317 | 238731.538253785 | -6414.53825378459 |
103 | 144966 | 211228.858464897 | -66262.8584648968 |
104 | 43287 | 88488.8477935064 | -45201.8477935064 |
105 | 155754 | 141864.716053218 | 13889.2839467819 |
106 | 164709 | 274397.157176399 | -109688.157176399 |
107 | 201940 | 163884.3080551 | 38055.6919448998 |
108 | 235454 | 207823.066457787 | 27630.9335422135 |
109 | 99466 | 127601.650611374 | -28135.6506113742 |
110 | 100750 | 160909.213973416 | -60159.2139734157 |
111 | 224549 | 173321.417912126 | 51227.5820878744 |
112 | 243511 | 236564.049807422 | 6946.95019257841 |
113 | 22938 | 19594.6569706055 | 3343.34302939452 |
114 | 152474 | 190655.446581243 | -38181.4465812427 |
115 | 61857 | 64246.6030458996 | -2389.60304589963 |
116 | 132487 | 173361.562746537 | -40874.5627465368 |
117 | 317394 | 269017.982091466 | 48376.0179085338 |
118 | 21054 | 16824.9453389383 | 4229.05466106166 |
119 | 209641 | 144521.732008799 | 65119.2679912012 |
120 | 31414 | 61180.0692440157 | -29766.0692440157 |
121 | 244749 | 214643.305193642 | 30105.6948063576 |
122 | 184510 | 182888.381134979 | 1621.61886502124 |
123 | 128423 | 156832.721482043 | -28409.7214820426 |
124 | 97839 | 135228.603811493 | -37389.6038114925 |
125 | 38214 | 55775.4887837142 | -17561.4887837142 |
126 | 151101 | 140530.518623453 | 10570.4813765469 |
127 | 272458 | 235787.170143917 | 36670.8298560831 |
128 | 172494 | 226332.062579427 | -53838.0625794266 |
129 | 328107 | 240671.548276519 | 87435.4517234806 |
130 | 250579 | 243711.505526068 | 6867.49447393225 |
131 | 351067 | 318688.869096488 | 32378.1309035123 |
132 | 158015 | 145989.372212057 | 12025.6277879428 |
133 | 85439 | 114730.085123448 | -29291.0851234477 |
134 | 229242 | 313056.072017307 | -83814.0720173066 |
135 | 351619 | 307929.551878798 | 43689.4481212021 |
136 | 84207 | 97005.9874983671 | -12798.9874983671 |
137 | 324598 | 256924.747449919 | 67673.2525500807 |
138 | 131069 | 165075.134990297 | -34006.1349902974 |
139 | 204271 | 193200.046866645 | 11070.9531333552 |
140 | 165543 | 203423.175243861 | -37880.1752438612 |
141 | 141722 | 175370.254197373 | -33648.2541973734 |
142 | 299775 | 210306.545958798 | 89468.4540412018 |
143 | 195838 | 257326.933505084 | -61488.9335050835 |
144 | 173260 | 104347.268579646 | 68912.7314203543 |
145 | 254488 | 243751.930366387 | 10736.0696336132 |
146 | 104389 | 187112.724699644 | -82723.7246996444 |
147 | 199476 | 209897.028112495 | -10421.028112495 |
148 | 224330 | 262903.523360315 | -38573.5233603146 |
149 | 14688 | 13170.3677989772 | 1517.63220102281 |
150 | 181633 | 186408.675883723 | -4775.67588372293 |
151 | 271856 | 264601.264347043 | 7254.73565295697 |
152 | 7199 | 10243.1062255153 | -3044.10622551529 |
153 | 46660 | 36959.9716233552 | 9700.02837664477 |
154 | 17547 | 10283.5310658343 | 7263.46893416567 |
155 | 95227 | 112781.827415086 | -17554.8274150856 |
156 | 152601 | 129734.034813867 | 22866.9651861335 |
Goldfeld-Quandt test for Heteroskedasticity | |||
p-values | Alternative Hypothesis | ||
breakpoint index | greater | 2-sided | less |
7 | 0.979836249640231 | 0.0403275007195382 | 0.0201637503597691 |
8 | 0.956509462610604 | 0.0869810747787924 | 0.0434905373893962 |
9 | 0.919663404354743 | 0.160673191290514 | 0.0803365956452568 |
10 | 0.896369751985362 | 0.207260496029275 | 0.103630248014638 |
11 | 0.850688353618733 | 0.298623292762534 | 0.149311646381267 |
12 | 0.796809086678773 | 0.406381826642454 | 0.203190913321227 |
13 | 0.721939281101877 | 0.556121437796246 | 0.278060718898123 |
14 | 0.747998917039419 | 0.504002165921163 | 0.252001082960581 |
15 | 0.67641493684019 | 0.647170126319619 | 0.32358506315981 |
16 | 0.594817193887011 | 0.810365612225978 | 0.405182806112989 |
17 | 0.51811255644028 | 0.963774887119439 | 0.48188744355972 |
18 | 0.440434302443195 | 0.88086860488639 | 0.559565697556805 |
19 | 0.536573624462773 | 0.926852751074454 | 0.463426375537227 |
20 | 0.468128150532635 | 0.936256301065271 | 0.531871849467365 |
21 | 0.400823589912938 | 0.801647179825877 | 0.599176410087061 |
22 | 0.806143180955329 | 0.387713638089343 | 0.193856819044671 |
23 | 0.780773480015546 | 0.438453039968907 | 0.219226519984454 |
24 | 0.752418931252114 | 0.495162137495772 | 0.247581068747886 |
25 | 0.81199840780364 | 0.376003184392721 | 0.188001592196361 |
26 | 0.807172788518444 | 0.385654422963112 | 0.192827211481556 |
27 | 0.778681727901368 | 0.442636544197264 | 0.221318272098632 |
28 | 0.738665962390621 | 0.522668075218757 | 0.261334037609379 |
29 | 0.692287864739125 | 0.61542427052175 | 0.307712135260875 |
30 | 0.681694666531709 | 0.636610666936583 | 0.318305333468292 |
31 | 0.628372440831782 | 0.743255118336435 | 0.371627559168218 |
32 | 0.614331101746879 | 0.771337796506243 | 0.385668898253121 |
33 | 0.596915850884091 | 0.806168298231817 | 0.403084149115908 |
34 | 0.552436445893354 | 0.895127108213292 | 0.447563554106646 |
35 | 0.520057913439576 | 0.959884173120848 | 0.479942086560424 |
36 | 0.645856702848064 | 0.708286594303872 | 0.354143297151936 |
37 | 0.831652021935062 | 0.336695956129876 | 0.168347978064938 |
38 | 0.796924875589715 | 0.406150248820569 | 0.203075124410285 |
39 | 0.760513611725088 | 0.478972776549825 | 0.239486388274912 |
40 | 0.742291365875847 | 0.515417268248305 | 0.257708634124153 |
41 | 0.799915993956301 | 0.400168012087398 | 0.200084006043699 |
42 | 0.767689408840196 | 0.464621182319609 | 0.232310591159804 |
43 | 0.725807540408909 | 0.548384919182181 | 0.274192459591091 |
44 | 0.682669763393029 | 0.634660473213942 | 0.317330236606971 |
45 | 0.653012451952128 | 0.693975096095745 | 0.346987548047872 |
46 | 0.937517102953936 | 0.124965794092129 | 0.0624828970460644 |
47 | 0.924494628776078 | 0.151010742447844 | 0.0755053712239219 |
48 | 0.919802107502376 | 0.160395784995247 | 0.0801978924976236 |
49 | 0.901773231724767 | 0.196453536550465 | 0.0982267682752326 |
50 | 0.8905091866994 | 0.2189816266012 | 0.1094908133006 |
51 | 0.872837876790023 | 0.254324246419953 | 0.127162123209977 |
52 | 0.85691804514093 | 0.28616390971814 | 0.14308195485907 |
53 | 0.926270906089602 | 0.147458187820796 | 0.073729093910398 |
54 | 0.907864881615305 | 0.184270236769391 | 0.0921351183846954 |
55 | 0.888165745911098 | 0.223668508177805 | 0.111834254088902 |
56 | 0.884760797116984 | 0.230478405766032 | 0.115239202883016 |
57 | 0.859883280059921 | 0.280233439880158 | 0.140116719940079 |
58 | 0.945423088357325 | 0.109153823285349 | 0.0545769116426745 |
59 | 0.933297307003756 | 0.133405385992488 | 0.0667026929962442 |
60 | 0.930638387640435 | 0.13872322471913 | 0.0693616123595648 |
61 | 0.927166280090758 | 0.145667439818484 | 0.0728337199092421 |
62 | 0.911954637981522 | 0.176090724036956 | 0.0880453620184782 |
63 | 0.891849234627108 | 0.216301530745783 | 0.108150765372892 |
64 | 0.870147680428425 | 0.259704639143149 | 0.129852319571575 |
65 | 0.845681807788003 | 0.308636384423994 | 0.154318192211997 |
66 | 0.819056757587038 | 0.361886484825924 | 0.180943242412962 |
67 | 0.86557976752618 | 0.268840464947639 | 0.13442023247382 |
68 | 0.874668435413384 | 0.250663129173233 | 0.125331564586616 |
69 | 0.854946050680249 | 0.290107898639503 | 0.145053949319751 |
70 | 0.837345243448967 | 0.325309513102067 | 0.162654756551033 |
71 | 0.807569581095224 | 0.384860837809552 | 0.192430418904776 |
72 | 0.780687075388481 | 0.438625849223037 | 0.219312924611519 |
73 | 0.744679051861252 | 0.510641896277495 | 0.255320948138748 |
74 | 0.707136649510234 | 0.585726700979533 | 0.292863350489766 |
75 | 0.713488432419345 | 0.57302313516131 | 0.286511567580655 |
76 | 0.783644190731792 | 0.432711618536415 | 0.216355809268208 |
77 | 0.768298858192974 | 0.463402283614053 | 0.231701141807026 |
78 | 0.732084350499427 | 0.535831299001146 | 0.267915649500573 |
79 | 0.711159033603611 | 0.577681932792779 | 0.288840966396389 |
80 | 0.673965184457832 | 0.652069631084336 | 0.326034815542168 |
81 | 0.632100243048457 | 0.735799513903086 | 0.367899756951543 |
82 | 0.827460149092025 | 0.345079701815949 | 0.172539850907975 |
83 | 0.799413309011396 | 0.401173381977208 | 0.200586690988604 |
84 | 0.792906950081241 | 0.414186099837518 | 0.207093049918759 |
85 | 0.757805536944193 | 0.484388926111614 | 0.242194463055807 |
86 | 0.724889901761422 | 0.550220196477156 | 0.275110098238578 |
87 | 0.705009144578021 | 0.589981710843959 | 0.294990855421979 |
88 | 0.776772551695264 | 0.446454896609471 | 0.223227448304736 |
89 | 0.776654411085531 | 0.446691177828938 | 0.223345588914469 |
90 | 0.891828018928577 | 0.216343962142847 | 0.108171981071423 |
91 | 0.879448195203816 | 0.241103609592367 | 0.120551804796184 |
92 | 0.895630383286784 | 0.208739233426432 | 0.104369616713216 |
93 | 0.872315564690964 | 0.255368870618071 | 0.127684435309036 |
94 | 0.863754830355151 | 0.272490339289698 | 0.136245169644849 |
95 | 0.870527416981674 | 0.258945166036653 | 0.129472583018326 |
96 | 0.843524249515826 | 0.312951500968347 | 0.156475750484174 |
97 | 0.818454667214106 | 0.363090665571787 | 0.181545332785894 |
98 | 0.792489717566003 | 0.415020564867994 | 0.207510282433997 |
99 | 0.762883997916086 | 0.474232004167829 | 0.237116002083914 |
100 | 0.727249413137303 | 0.545501173725395 | 0.272750586862697 |
101 | 0.688331894709922 | 0.623336210580156 | 0.311668105290078 |
102 | 0.648933458132377 | 0.702133083735246 | 0.351066541867623 |
103 | 0.6747675764591 | 0.6504648470818 | 0.3252324235409 |
104 | 0.678173823619952 | 0.643652352760095 | 0.321826176380048 |
105 | 0.637151345180045 | 0.72569730963991 | 0.362848654819955 |
106 | 0.857278296681326 | 0.285443406637349 | 0.142721703318674 |
107 | 0.847272659867822 | 0.305454680264356 | 0.152727340132178 |
108 | 0.825808008440744 | 0.348383983118513 | 0.174191991559256 |
109 | 0.802875186171709 | 0.394249627656581 | 0.197124813828291 |
110 | 0.821841803754473 | 0.356316392491055 | 0.178158196245527 |
111 | 0.831470360968534 | 0.337059278062932 | 0.168529639031466 |
112 | 0.796479279694473 | 0.407041440611053 | 0.203520720305527 |
113 | 0.756339534744099 | 0.487320930511803 | 0.243660465255901 |
114 | 0.74587134915032 | 0.50825730169936 | 0.25412865084968 |
115 | 0.700345191118792 | 0.599309617762417 | 0.299654808881208 |
116 | 0.692489876260167 | 0.615020247479667 | 0.307510123739833 |
117 | 0.678529941213442 | 0.642940117573117 | 0.321470058786558 |
118 | 0.627501974721708 | 0.744996050556583 | 0.372498025278292 |
119 | 0.680554590944081 | 0.638890818111838 | 0.319445409055919 |
120 | 0.651414847128651 | 0.697170305742698 | 0.348585152871349 |
121 | 0.62564552669088 | 0.748708946618241 | 0.37435447330912 |
122 | 0.569609729663114 | 0.860780540673773 | 0.430390270336887 |
123 | 0.524357342345765 | 0.951285315308469 | 0.475642657654235 |
124 | 0.507267632164201 | 0.985464735671597 | 0.492732367835799 |
125 | 0.45561079252505 | 0.911221585050101 | 0.54438920747495 |
126 | 0.399618065390556 | 0.799236130781112 | 0.600381934609444 |
127 | 0.377471754336276 | 0.754943508672553 | 0.622528245663724 |
128 | 0.404730531417801 | 0.809461062835601 | 0.595269468582199 |
129 | 0.562533573730945 | 0.874932852538111 | 0.437466426269055 |
130 | 0.49967257210011 | 0.999345144200219 | 0.50032742789989 |
131 | 0.473712211825826 | 0.947424423651652 | 0.526287788174174 |
132 | 0.413952415708609 | 0.827904831417218 | 0.586047584291391 |
133 | 0.369253324667235 | 0.738506649334471 | 0.630746675332765 |
134 | 0.898572974687084 | 0.202854050625833 | 0.101427025312916 |
135 | 0.863658187518892 | 0.272683624962216 | 0.136341812481108 |
136 | 0.816490636022057 | 0.367018727955886 | 0.183509363977943 |
137 | 0.833339790355699 | 0.333320419288602 | 0.166660209644301 |
138 | 0.829682814425975 | 0.34063437114805 | 0.170317185574025 |
139 | 0.893825022971409 | 0.212349954057183 | 0.106174977028591 |
140 | 0.855587197549765 | 0.28882560490047 | 0.144412802450235 |
141 | 0.999627936102219 | 0.000744127795562806 | 0.000372063897781403 |
142 | 0.999808562344107 | 0.000382875311785386 | 0.000191437655892693 |
143 | 0.999516917903265 | 0.00096616419347073 | 0.000483082096735365 |
144 | 0.998602900093608 | 0.00279419981278435 | 0.00139709990639217 |
145 | 0.99911706772453 | 0.00176586455093977 | 0.000882932275469887 |
146 | 0.999132001645563 | 0.00173599670887445 | 0.000867998354437225 |
147 | 0.997105846482648 | 0.00578830703470415 | 0.00289415351735208 |
148 | 0.988434477241428 | 0.0231310455171434 | 0.0115655227585717 |
149 | 0.96141987983605 | 0.0771602403278997 | 0.0385801201639499 |
Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity | |||
Description | # significant tests | % significant tests | OK/NOK |
1% type I error level | 7 | 0.048951048951049 | NOK |
5% type I error level | 9 | 0.0629370629370629 | NOK |
10% type I error level | 11 | 0.0769230769230769 | OK |