Multiple Linear Regression - Estimated Regression Equation |
time_in_rfc[t] = -7922.52926978549 + 726.566233903297logins[t] + 483.410429029861totblogs[t] + 2092.96232443357compendiums_reviewed[t] -0.000623330146252192totsize[t] + 1.39971993808105totrevisions[t] + 4.89277717976372Pageviews[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) | -7922.52926978549 | 15104.552072 | -0.5245 | 0.600701 | 0.300351 |
logins | 726.566233903297 | 115.761947 | 6.2764 | 0 | 0 |
totblogs | 483.410429029861 | 137.062985 | 3.5269 | 0.000559 | 0.00028 |
compendiums_reviewed | 2092.96232443357 | 489.478653 | 4.2759 | 3.4e-05 | 1.7e-05 |
totsize | -0.000623330146252192 | 0.13837 | -0.0045 | 0.996412 | 0.498206 |
totrevisions | 1.39971993808105 | 0.654927 | 2.1372 | 0.034213 | 0.017106 |
Pageviews | 4.89277717976372 | 4.786473 | 1.0222 | 0.308339 | 0.154169 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 0.842424406819623 |
R-squared | 0.709678881205394 |
Adjusted R-squared | 0.697988097898228 |
F-TEST (value) | 60.7041344073521 |
F-TEST (DF numerator) | 6 |
F-TEST (DF denominator) | 149 |
p-value | 0 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 44581.0288666735 |
Sum Squared Residuals | 296132752086.865 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
1 | 210907 | 215096.776760392 | -4189.77676039222 |
2 | 120982 | 167532.031337422 | -46550.0313374222 |
3 | 176508 | 183777.257786011 | -7269.25778601132 |
4 | 179321 | 236215.859181456 | -56894.8591814558 |
5 | 123185 | 115319.88810377 | 7865.11189623038 |
6 | 52746 | 104556.812480528 | -51810.8124805281 |
7 | 385534 | 234639.223951846 | 150894.776048154 |
8 | 33170 | 53728.6477438985 | -20558.6477438985 |
9 | 149061 | 164226.407556292 | -15165.4075562922 |
10 | 165446 | 149221.039949869 | 16224.9600501314 |
11 | 237213 | 229937.420152221 | 7275.57984777925 |
12 | 173326 | 221145.446209899 | -47819.4462098989 |
13 | 133131 | 141501.673709783 | -8370.67370978323 |
14 | 258873 | 217983.743431723 | 40889.256568277 |
15 | 180083 | 173559.362585199 | 6523.63741480083 |
16 | 324799 | 318829.152822492 | 5969.84717750755 |
17 | 230964 | 210352.167493723 | 20611.8325062769 |
18 | 236785 | 219259.644109325 | 17525.3558906749 |
19 | 135473 | 177593.909493812 | -42120.9094938119 |
20 | 202925 | 210285.039637501 | -7360.03963750074 |
21 | 215147 | 230058.893872834 | -14911.8938728341 |
22 | 344297 | 196931.323396345 | 147365.676603655 |
23 | 153935 | 130339.218443193 | 23595.7815568066 |
24 | 132943 | 185727.41593361 | -52784.41593361 |
25 | 174724 | 232959.391106884 | -58235.391106884 |
26 | 174415 | 215005.625754235 | -40590.6257542354 |
27 | 225548 | 225484.581528417 | 63.4184715828495 |
28 | 223632 | 203644.400127092 | 19987.5998729075 |
29 | 124817 | 121593.853278875 | 3223.14672112502 |
30 | 221698 | 172951.053779824 | 48746.9462201761 |
31 | 210767 | 227316.312216892 | -16549.3122168923 |
32 | 170266 | 210911.229692768 | -40645.2296927676 |
33 | 260561 | 236052.820335117 | 24508.1796648832 |
34 | 84853 | 101581.518256606 | -16728.5182566059 |
35 | 294424 | 247808.053726757 | 46615.9462732434 |
36 | 215641 | 142442.296680956 | 73198.7033190443 |
37 | 325107 | 232098.633989314 | 93008.3660106861 |
38 | 167542 | 174798.593156856 | -7256.59315685628 |
39 | 106408 | 87320.7779773671 | 19087.2220226329 |
40 | 265769 | 273281.125671408 | -7512.12567140835 |
41 | 269651 | 206503.522511441 | 63147.4774885586 |
42 | 149112 | 168900.64501947 | -19788.6450194705 |
43 | 152871 | 174243.297171057 | -21372.2971710572 |
44 | 111665 | 126841.015307292 | -15176.0153072919 |
45 | 116408 | 154537.815317314 | -38129.8153173143 |
46 | 362301 | 201125.577391664 | 161175.422608336 |
47 | 78800 | 109271.506852343 | -30471.5068523427 |
48 | 183167 | 212140.962315244 | -28973.962315244 |
49 | 277965 | 244312.827923229 | 33652.1720767705 |
50 | 150629 | 187082.326540323 | -36453.3265403234 |
51 | 168809 | 187567.963287939 | -18758.9632879392 |
52 | 24188 | 47989.9370939287 | -23801.9370939287 |
53 | 329267 | 357539.90951798 | -28272.9095179801 |
54 | 65029 | 70449.6818759723 | -5420.68187597228 |
55 | 101097 | 101845.153236925 | -748.153236925365 |
56 | 218946 | 179186.90079841 | 39759.0992015905 |
57 | 244052 | 254893.936379201 | -10841.9363792012 |
58 | 233328 | 316052.424218612 | -82724.4242186119 |
59 | 256462 | 278105.646046481 | -21643.6460464807 |
60 | 206161 | 165247.551627905 | 40913.4483720946 |
61 | 311473 | 265833.350250075 | 45639.6497499252 |
62 | 235800 | 270761.064639303 | -34961.0646393025 |
63 | 177939 | 179968.748387292 | -2029.74838729205 |
64 | 207176 | 194890.556294626 | 12285.4437053743 |
65 | 196553 | 198599.112665674 | -2046.11266567359 |
66 | 174184 | 158390.200542033 | 15793.7994579673 |
67 | 143246 | 209450.472082798 | -66204.4720827984 |
68 | 187559 | 243558.523024709 | -55999.5230247093 |
69 | 187681 | 195464.837509731 | -7783.83750973107 |
70 | 119016 | 148275.31348897 | -29259.3134889703 |
71 | 182192 | 185023.977703449 | -2831.9777034493 |
72 | 73566 | 87094.7950994056 | -13528.7950994056 |
73 | 194979 | 191557.175124229 | 3421.82487577076 |
74 | 167488 | 174449.10967189 | -6961.10967189008 |
75 | 143756 | 184944.297902 | -41188.2979019998 |
76 | 275541 | 208102.033259648 | 67438.9667403521 |
77 | 243199 | 206904.265559606 | 36294.7344403937 |
78 | 182999 | 178020.194152888 | 4978.80584711185 |
79 | 135649 | 158960.442706016 | -23311.4427060165 |
80 | 152299 | 164864.544860708 | -12565.5448607085 |
81 | 120221 | 111696.790001113 | 8524.2099988869 |
82 | 346485 | 232184.489660464 | 114300.510339536 |
83 | 145790 | 138816.042925127 | 6973.95707487281 |
84 | 193339 | 228682.168248183 | -35343.1682481827 |
85 | 80953 | 78514.5254448452 | 2438.47455515478 |
86 | 122774 | 103605.581213904 | 19168.4187860956 |
87 | 130585 | 180766.445890067 | -50181.4458900672 |
88 | 286468 | 224562.343532977 | 61905.6564670231 |
89 | 241066 | 220348.498012297 | 20717.5019877034 |
90 | 148446 | 258776.389636666 | -110330.389636666 |
91 | 204713 | 168351.426675511 | 36361.5733244891 |
92 | 182079 | 225739.940344413 | -43660.9403444125 |
93 | 140344 | 138074.285144438 | 2269.7148555617 |
94 | 220516 | 176569.221292532 | 43946.7787074685 |
95 | 243060 | 215009.911136717 | 28050.088863283 |
96 | 162765 | 167070.44208317 | -4305.44208316949 |
97 | 182613 | 203539.450963447 | -20926.4509634472 |
98 | 232138 | 249424.985741343 | -17286.9857413431 |
99 | 265318 | 291964.915987774 | -26646.9159877743 |
100 | 310839 | 294889.553622888 | 15949.4463771124 |
101 | 225060 | 241824.180907809 | -16764.1809078094 |
102 | 232317 | 233685.268910602 | -1368.26891060228 |
103 | 144966 | 209648.070208327 | -64682.0702083274 |
104 | 43287 | 80322.3347740192 | -37035.3347740192 |
105 | 155754 | 142286.395936535 | 13467.6040634651 |
106 | 164709 | 281046.948584192 | -116337.948584192 |
107 | 201940 | 183235.657890955 | 18704.3421090452 |
108 | 235454 | 212555.639484977 | 22898.3605150226 |
109 | 99466 | 141512.506823304 | -42046.5068233042 |
110 | 100750 | 146056.379818808 | -45306.3798188084 |
111 | 224549 | 173536.058575334 | 51012.9414246658 |
112 | 243511 | 229418.901496396 | 14092.0985036037 |
113 | 22938 | 18804.2167541961 | 4133.7832458039 |
114 | 152474 | 194928.400460779 | -42454.400460779 |
115 | 61857 | 55294.645895427 | 6562.35410457302 |
116 | 132487 | 155866.539414443 | -23379.5394144431 |
117 | 317394 | 251886.473028517 | 65507.5269714826 |
118 | 21054 | 11246.160619335 | 9807.83938066503 |
119 | 209641 | 142990.440290489 | 66650.5597095107 |
120 | 31414 | 54401.1700107381 | -22987.1700107381 |
121 | 244749 | 215370.601266697 | 29378.3987333026 |
122 | 184510 | 189853.119086226 | -5343.11908622648 |
123 | 128423 | 147683.454081411 | -19260.454081411 |
124 | 97839 | 137125.389665912 | -39286.3896659122 |
125 | 38214 | 53461.570297035 | -15247.570297035 |
126 | 151101 | 149705.413350428 | 1395.58664957156 |
127 | 272458 | 237874.023396708 | 34583.9766032919 |
128 | 172494 | 218718.687011961 | -46224.6870119611 |
129 | 328107 | 252448.830900821 | 75658.169099179 |
130 | 250579 | 238965.889070902 | 11613.1109290977 |
131 | 351067 | 322311.969826112 | 28755.030173888 |
132 | 158015 | 149028.72563785 | 8986.27436215 |
133 | 85439 | 112136.281675668 | -26697.2816756683 |
134 | 229242 | 311947.819383332 | -82705.8193833321 |
135 | 351619 | 298089.464204434 | 53529.5357955655 |
136 | 84207 | 88234.3634998945 | -4027.36349989451 |
137 | 324598 | 271415.331696991 | 53182.6683030087 |
138 | 131069 | 170343.86104326 | -39274.8610432597 |
139 | 204271 | 199041.653895131 | 5229.34610486867 |
140 | 165543 | 191528.367258373 | -25985.3672583729 |
141 | 141722 | 171010.004727514 | -29288.0047275145 |
142 | 299775 | 205530.866263071 | 94244.1337369286 |
143 | 195838 | 240739.686085188 | -44901.6860851876 |
144 | 173260 | 102253.788214557 | 71006.2117854426 |
145 | 254488 | 246977.241132104 | 7510.75886789569 |
146 | 104389 | 183073.914443433 | -78684.9144434332 |
147 | 199476 | 210516.543491346 | -11040.5434913457 |
148 | 224330 | 264650.537885254 | -40320.5378852539 |
149 | 14688 | 12666.114366696 | 2021.88563330398 |
150 | 181633 | 177099.346445412 | 4533.65355458835 |
151 | 271856 | 247157.696053078 | 24698.303946922 |
152 | 7199 | 4368.83117372226 | 2830.16882627774 |
153 | 46660 | 33044.8168411274 | 13615.1831588726 |
154 | 17547 | 9400.61312672893 | 8146.38687327107 |
155 | 95227 | 104052.978339857 | -8825.97833985729 |
156 | 152601 | 131914.168938401 | 20686.8310615992 |
Goldfeld-Quandt test for Heteroskedasticity | |||
p-values | Alternative Hypothesis | ||
breakpoint index | greater | 2-sided | less |
10 | 0.950703310106602 | 0.0985933797867951 | 0.0492966898933975 |
11 | 0.907207717363244 | 0.185584565273513 | 0.0927922826367564 |
12 | 0.877404906684487 | 0.245190186631026 | 0.122595093315513 |
13 | 0.808946491127282 | 0.382107017745436 | 0.191053508872718 |
14 | 0.884890695407789 | 0.230218609184422 | 0.115109304592211 |
15 | 0.829259962998831 | 0.341480074002338 | 0.170740037001169 |
16 | 0.768162615807259 | 0.463674768385482 | 0.231837384192741 |
17 | 0.693129102794806 | 0.613741794410389 | 0.306870897205194 |
18 | 0.623874329628838 | 0.752251340742324 | 0.376125670371162 |
19 | 0.737424189314806 | 0.525151621370388 | 0.262575810685194 |
20 | 0.669207517968529 | 0.661584964062942 | 0.330792482031471 |
21 | 0.594487491593453 | 0.811025016813094 | 0.405512508406547 |
22 | 0.884511813755516 | 0.230976372488969 | 0.115488186244484 |
23 | 0.863651032064913 | 0.272697935870174 | 0.136348967935087 |
24 | 0.831417046487976 | 0.337165907024049 | 0.168582953512024 |
25 | 0.902039072288882 | 0.195921855422235 | 0.0979609277111175 |
26 | 0.893745017915659 | 0.212509964168683 | 0.106254982084341 |
27 | 0.879388837731856 | 0.241222324536289 | 0.120611162268144 |
28 | 0.848622367167306 | 0.302755265665388 | 0.151377632832694 |
29 | 0.807762044765844 | 0.384475910468312 | 0.192237955234156 |
30 | 0.794558588452847 | 0.410882823094305 | 0.205441411547153 |
31 | 0.76297375445637 | 0.47405249108726 | 0.23702624554363 |
32 | 0.747636592043277 | 0.504726815913446 | 0.252363407956723 |
33 | 0.715620944775672 | 0.568758110448655 | 0.284379055224328 |
34 | 0.683554414008051 | 0.632891171983899 | 0.316445585991949 |
35 | 0.644887932010912 | 0.710224135978177 | 0.355112067989088 |
36 | 0.772563591047627 | 0.454872817904745 | 0.227436408952373 |
37 | 0.900597109152859 | 0.198805781694282 | 0.0994028908471409 |
38 | 0.878098479851531 | 0.243803040296938 | 0.121901520148469 |
39 | 0.849237786341151 | 0.301524427317698 | 0.150762213658849 |
40 | 0.836166722678455 | 0.32766655464309 | 0.163833277321545 |
41 | 0.852410727925007 | 0.295178544149986 | 0.147589272074993 |
42 | 0.822591862362231 | 0.354816275275538 | 0.177408137637769 |
43 | 0.788621142567744 | 0.422757714864513 | 0.211378857432256 |
44 | 0.749719974609029 | 0.500560050781941 | 0.250280025390971 |
45 | 0.718862987123145 | 0.56227402575371 | 0.281137012876855 |
46 | 0.970790030428047 | 0.0584199391439061 | 0.0292099695719531 |
47 | 0.963861768203082 | 0.0722764635938362 | 0.0361382317969181 |
48 | 0.958501444504337 | 0.0829971109913261 | 0.0414985554956631 |
49 | 0.950030788273832 | 0.0999384234523368 | 0.0499692117261684 |
50 | 0.943110363028845 | 0.113779273942309 | 0.0568896369711546 |
51 | 0.932021985241209 | 0.135956029517581 | 0.0679780147587907 |
52 | 0.925654217691482 | 0.148691564617036 | 0.0743457823085182 |
53 | 0.96331609681364 | 0.0733678063727203 | 0.0366839031863602 |
54 | 0.95264148342026 | 0.0947170331594794 | 0.0473585165797397 |
55 | 0.939750899419097 | 0.120498201161806 | 0.0602491005809032 |
56 | 0.934113681209546 | 0.131772637580909 | 0.0658863187904545 |
57 | 0.91815799564135 | 0.163684008717301 | 0.0818420043586503 |
58 | 0.965428680735456 | 0.0691426385290885 | 0.0345713192645443 |
59 | 0.95767036454127 | 0.0846592709174607 | 0.0423296354587304 |
60 | 0.954494778676164 | 0.0910104426476724 | 0.0455052213238362 |
61 | 0.953347612826774 | 0.0933047743464518 | 0.0466523871732259 |
62 | 0.950393781606434 | 0.099212436787132 | 0.049606218393566 |
63 | 0.936736935953934 | 0.126526128092131 | 0.0632630640460656 |
64 | 0.921617700271105 | 0.156764599457789 | 0.0783822997288947 |
65 | 0.902588784451005 | 0.19482243109799 | 0.0974112155489949 |
66 | 0.883491805271852 | 0.233016389456297 | 0.116508194728148 |
67 | 0.910976436709057 | 0.178047126581885 | 0.0890235632909425 |
68 | 0.919330695090864 | 0.161338609818271 | 0.0806693049091357 |
69 | 0.900585569814517 | 0.198828860370966 | 0.099414430185483 |
70 | 0.888935487060797 | 0.222129025878407 | 0.111064512939204 |
71 | 0.86471655432826 | 0.270566891343481 | 0.13528344567174 |
72 | 0.839627920388784 | 0.320744159222432 | 0.160372079611216 |
73 | 0.809012505979919 | 0.381974988040162 | 0.190987494020081 |
74 | 0.775727620628385 | 0.44854475874323 | 0.224272379371615 |
75 | 0.767565867908364 | 0.464868264183273 | 0.232434132091636 |
76 | 0.803832727005182 | 0.392334545989637 | 0.196167272994818 |
77 | 0.792142811831277 | 0.415714376337446 | 0.207857188168723 |
78 | 0.761876036255868 | 0.476247927488263 | 0.238123963744132 |
79 | 0.733274501493269 | 0.533450997013462 | 0.266725498506731 |
80 | 0.696034995373297 | 0.607930009253406 | 0.303965004626703 |
81 | 0.65460308503319 | 0.690793829933619 | 0.34539691496681 |
82 | 0.856606149090935 | 0.286787701818129 | 0.143393850909065 |
83 | 0.828471486240138 | 0.343057027519725 | 0.171528513759862 |
84 | 0.816481957966979 | 0.367036084066042 | 0.183518042033021 |
85 | 0.783362621459552 | 0.433274757080896 | 0.216637378540448 |
86 | 0.752740037020156 | 0.494519925959688 | 0.247259962979844 |
87 | 0.76496412094956 | 0.47007175810088 | 0.23503587905044 |
88 | 0.804207198395665 | 0.391585603208669 | 0.195792801604335 |
89 | 0.777365245417757 | 0.445269509164487 | 0.222634754582243 |
90 | 0.913284954608581 | 0.173430090782838 | 0.0867150453914189 |
91 | 0.909069291171392 | 0.181861417657217 | 0.0909307088286083 |
92 | 0.909780576922605 | 0.180438846154791 | 0.0902194230773953 |
93 | 0.888024434037011 | 0.223951131925979 | 0.111975565962989 |
94 | 0.889836477146608 | 0.220327045706784 | 0.110163522853392 |
95 | 0.872766314858278 | 0.254467370283443 | 0.127233685141722 |
96 | 0.845987194394724 | 0.308025611210552 | 0.154012805605276 |
97 | 0.82778448915553 | 0.344431021688941 | 0.17221551084447 |
98 | 0.805261815651059 | 0.389476368697883 | 0.194738184348941 |
99 | 0.776600472708588 | 0.446799054582824 | 0.223399527291412 |
100 | 0.742080460243977 | 0.515839079512045 | 0.257919539756023 |
101 | 0.703946977618813 | 0.592106044762375 | 0.296053022381187 |
102 | 0.664702005580923 | 0.670595988838155 | 0.335297994419077 |
103 | 0.688048930100064 | 0.623902139799872 | 0.311951069899936 |
104 | 0.673390948988599 | 0.653218102022802 | 0.326609051011401 |
105 | 0.629342855067429 | 0.741314289865143 | 0.370657144932571 |
106 | 0.9034813226276 | 0.193037354744801 | 0.0965186773724005 |
107 | 0.880624308191066 | 0.238751383617867 | 0.119375691808934 |
108 | 0.855328015892922 | 0.289343968214157 | 0.144671984107078 |
109 | 0.861823092829972 | 0.276353814340056 | 0.138176907170028 |
110 | 0.851780420836708 | 0.296439158326584 | 0.148219579163292 |
111 | 0.854847410176742 | 0.290305179646517 | 0.145152589823258 |
112 | 0.825636124130429 | 0.348727751739143 | 0.174363875869571 |
113 | 0.788448669419861 | 0.423102661160277 | 0.211551330580139 |
114 | 0.799469108298365 | 0.401061783403269 | 0.200530891701635 |
115 | 0.759473410597476 | 0.481053178805047 | 0.240526589402524 |
116 | 0.716737804372235 | 0.566524391255531 | 0.283262195627765 |
117 | 0.758493333710925 | 0.48301333257815 | 0.241506666289075 |
118 | 0.712475046477842 | 0.575049907044317 | 0.287524953522158 |
119 | 0.771510731854906 | 0.456978536290187 | 0.228489268145094 |
120 | 0.736591312830794 | 0.526817374338412 | 0.263408687169206 |
121 | 0.701174253200544 | 0.597651493598912 | 0.298825746799456 |
122 | 0.648847084913645 | 0.702305830172711 | 0.351152915086355 |
123 | 0.59310458042217 | 0.81379083915566 | 0.40689541957783 |
124 | 0.591476656532392 | 0.817046686935216 | 0.408523343467608 |
125 | 0.541227929497561 | 0.917544141004877 | 0.458772070502439 |
126 | 0.482806117613573 | 0.965612235227146 | 0.517193882386427 |
127 | 0.447586607740914 | 0.895173215481829 | 0.552413392259085 |
128 | 0.434844302346662 | 0.869688604693325 | 0.565155697653338 |
129 | 0.480894959447352 | 0.961789918894703 | 0.519105040552648 |
130 | 0.414302495072782 | 0.828604990145565 | 0.585697504927218 |
131 | 0.366825126718035 | 0.73365025343607 | 0.633174873281965 |
132 | 0.302272043423381 | 0.604544086846763 | 0.697727956576619 |
133 | 0.259643396458017 | 0.519286792916034 | 0.740356603541983 |
134 | 0.912132409321275 | 0.175735181357449 | 0.0878675906787245 |
135 | 0.878729334231362 | 0.242541331537275 | 0.121270665768638 |
136 | 0.876455426123372 | 0.247089147753257 | 0.123544573876628 |
137 | 0.830234871024739 | 0.339530257950522 | 0.169765128975261 |
138 | 0.846947380234048 | 0.306105239531903 | 0.153052619765952 |
139 | 0.808461016086462 | 0.383077967827077 | 0.191538983913538 |
140 | 0.734480103250397 | 0.531039793499206 | 0.265519896749603 |
141 | 0.995807082332496 | 0.00838583533500725 | 0.00419291766750363 |
142 | 0.999406126522145 | 0.00118774695570947 | 0.000593873477854734 |
143 | 0.999970949786401 | 5.81004271988829e-05 | 2.90502135994414e-05 |
144 | 0.99981453551916 | 0.000370928961679139 | 0.00018546448083957 |
145 | 0.999740891323042 | 0.000518217353915517 | 0.000259108676957759 |
146 | 0.997580565943751 | 0.00483886811249745 | 0.00241943405624873 |
Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity | |||
Description | # significant tests | % significant tests | OK/NOK |
1% type I error level | 6 | 0.0437956204379562 | NOK |
5% type I error level | 6 | 0.0437956204379562 | OK |
10% type I error level | 18 | 0.131386861313869 | NOK |