Multiple Linear Regression - Estimated Regression Equation |
timeRFC[t] = + 15369.703864653 + 1233.55221375376compshared[t] + 728.920901277441blogged[t] + 1278.47756975967reviewedcomp[t] -0.0919943324097568characters[t] + 1.62792219202496seconds[t] -22.8793155464124inclhyperlinks[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) | 15369.703864653 | 8162.320139 | 1.883 | 0.06182 | 0.03091 |
compshared | 1233.55221375376 | 1474.74907 | 0.8364 | 0.404359 | 0.20218 |
blogged | 728.920901277441 | 199.899793 | 3.6464 | 0.000377 | 0.000188 |
reviewedcomp | 1278.47756975967 | 477.385333 | 2.6781 | 0.00831 | 0.004155 |
characters | -0.0919943324097568 | 0.218228 | -0.4216 | 0.674014 | 0.337007 |
seconds | 1.62792219202496 | 0.209015 | 7.7885 | 0 | 0 |
inclhyperlinks | -22.8793155464124 | 205.573582 | -0.1113 | 0.911545 | 0.455773 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 0.886507219674267 |
R-squared | 0.785895050534598 |
Adjusted R-squared | 0.776518191433924 |
F-TEST (value) | 83.8121850927743 |
F-TEST (DF numerator) | 6 |
F-TEST (DF denominator) | 137 |
p-value | 0 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 38223.4869023883 |
Sum Squared Residuals | 200161788283.855 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
1 | 162687 | 113460.413325646 | 49226.5866743541 |
2 | 201906 | 219709.582819814 | -17803.5828198144 |
3 | 7215 | 18379.05783805 | -11164.05783805 |
4 | 146367 | 154216.900886271 | -7849.90088627058 |
5 | 257045 | 226032.807033386 | 31012.1929666142 |
6 | 524450 | 452232.110787809 | 72217.8892121907 |
7 | 188294 | 190025.892991711 | -1731.89299171129 |
8 | 195674 | 223164.273583953 | -27490.2735839532 |
9 | 177020 | 157822.947057499 | 19197.0529425013 |
10 | 325899 | 260435.659220557 | 65463.3407794428 |
11 | 121844 | 149701.344233432 | -27857.3442334323 |
12 | 203938 | 235193.222959701 | -31255.2229597012 |
13 | 113213 | 136371.63031827 | -23158.6303182698 |
14 | 220751 | 208420.64163415 | 12330.3583658498 |
15 | 172905 | 156092.672048412 | 16812.3279515877 |
16 | 156326 | 161952.575479069 | -5626.57547906854 |
17 | 145178 | 217046.872297002 | -71868.8722970018 |
18 | 89171 | 52714.1599123267 | 36456.8400876733 |
19 | 172624 | 185862.558621647 | -13238.5586216473 |
20 | 39790 | 66731.1411100547 | -26941.1411100547 |
21 | 87927 | 86302.7607376029 | 1624.23926239712 |
22 | 241285 | 273717.552673567 | -32432.5526735671 |
23 | 195820 | 100497.487925957 | 95322.5120740426 |
24 | 146946 | 153107.668849299 | -6161.66884929871 |
25 | 159763 | 165216.070371354 | -5453.07037135405 |
26 | 207078 | 153477.770460263 | 53600.2295397371 |
27 | 212394 | 184363.854068196 | 28030.1459318038 |
28 | 201536 | 280074.503290265 | -78538.5032902645 |
29 | 394662 | 289681.682537947 | 104980.317462053 |
30 | 217892 | 209674.83327456 | 8217.16672544032 |
31 | 182286 | 161175.40702427 | 21110.5929757298 |
32 | 181740 | 193869.642773641 | -12129.6427736406 |
33 | 137978 | 135185.907014345 | 2792.0929856551 |
34 | 255929 | 174121.176807362 | 81807.8231926377 |
35 | 236489 | 249891.095723214 | -13402.0957232137 |
36 | 0 | 15369.703864653 | -15369.703864653 |
37 | 230761 | 152506.358104464 | 78254.6418955355 |
38 | 132807 | 125225.509832794 | 7581.49016720552 |
39 | 157118 | 164089.604137196 | -6971.60413719588 |
40 | 253254 | 323810.320919232 | -70556.3209192319 |
41 | 269329 | 218034.910912713 | 51294.0890872873 |
42 | 161273 | 151548.334633349 | 9724.66536665135 |
43 | 107181 | 131581.16222481 | -24400.1622248097 |
44 | 195891 | 179971.066775155 | 15919.9332248454 |
45 | 139667 | 158279.097885117 | -18612.0978851169 |
46 | 171101 | 162167.466585004 | 8933.53341499649 |
47 | 81407 | 137006.405161232 | -55599.4051612317 |
48 | 247563 | 179137.797354165 | 68425.2026458353 |
49 | 239807 | 224543.110216958 | 15263.8897830424 |
50 | 172743 | 182473.706004315 | -9730.70600431543 |
51 | 48188 | 73980.0289532905 | -25792.0289532905 |
52 | 169355 | 178301.92817931 | -8946.92817931025 |
53 | 315622 | 268687.279299732 | 46934.7207002681 |
54 | 241518 | 179418.038600864 | 62099.9613991356 |
55 | 195583 | 206351.223057753 | -10768.2230577529 |
56 | 159913 | 159816.007006456 | 96.9929935444257 |
57 | 220241 | 164893.425565692 | 55347.5744343076 |
58 | 101694 | 109024.402878431 | -7330.40287843081 |
59 | 157258 | 187322.639312748 | -30064.6393127476 |
60 | 202536 | 137116.114759169 | 65419.8852408308 |
61 | 173505 | 170013.916064904 | 3491.08393509555 |
62 | 150518 | 140482.051148962 | 10035.9488510381 |
63 | 141491 | 166504.456600274 | -25013.4566002743 |
64 | 125612 | 171285.891645261 | -45673.8916452609 |
65 | 166049 | 136555.140704555 | 29493.8592954445 |
66 | 124197 | 175161.205473921 | -50964.2054739212 |
67 | 195043 | 298460.962416431 | -103417.962416431 |
68 | 138708 | 198018.895241626 | -59310.8952416257 |
69 | 116552 | 171157.039531916 | -54605.0395319157 |
70 | 31970 | 52025.2616011499 | -20055.2616011499 |
71 | 258158 | 176906.819837519 | 81251.1801624806 |
72 | 151184 | 134486.139613454 | 16697.8603865459 |
73 | 135926 | 175265.809154353 | -39339.8091543526 |
74 | 119629 | 102700.669518002 | 16928.3304819976 |
75 | 171518 | 203255.866255265 | -31737.8662552652 |
76 | 108949 | 99327.9869998294 | 9621.01300017055 |
77 | 183471 | 210320.372313918 | -26849.3723139185 |
78 | 159966 | 239881.508391025 | -79915.5083910246 |
79 | 93786 | 95921.1454620383 | -2135.1454620383 |
80 | 84971 | 122597.57131075 | -37626.5713107504 |
81 | 88882 | 140507.54368575 | -51625.5436857501 |
82 | 304603 | 176971.888261954 | 127631.111738046 |
83 | 75101 | 114066.75341972 | -38965.7534197204 |
84 | 145043 | 152156.945659297 | -7113.94565929749 |
85 | 95827 | 100662.883212425 | -4835.88321242464 |
86 | 173924 | 153697.475069384 | 20226.524930616 |
87 | 241957 | 225146.393422209 | 16810.6065777907 |
88 | 115367 | 128534.888925234 | -13167.8889252344 |
89 | 118408 | 125348.743884818 | -6940.74388481795 |
90 | 164078 | 153012.328156277 | 11065.6718437226 |
91 | 158931 | 187161.266088996 | -28230.2660889961 |
92 | 184139 | 212914.956351838 | -28775.9563518382 |
93 | 152856 | 161863.959715531 | -9007.95971553129 |
94 | 144014 | 117276.736758632 | 26737.2632413678 |
95 | 62535 | 89056.3820162883 | -26521.3820162883 |
96 | 245196 | 239551.378836082 | 5644.62116391773 |
97 | 199841 | 211409.425911086 | -11568.4259110865 |
98 | 19349 | 41080.0895408413 | -21731.0895408413 |
99 | 247280 | 149212.402134063 | 98067.5978659367 |
100 | 159408 | 158823.271135524 | 584.728864476337 |
101 | 72128 | 47552.7442531648 | 24575.2557468352 |
102 | 104253 | 131103.376729498 | -26850.3767294982 |
103 | 151090 | 139815.548459402 | 11274.451540598 |
104 | 137382 | 128256.954378919 | 9125.04562108106 |
105 | 87448 | 96494.1884616885 | -9046.18846168848 |
106 | 27676 | 40489.711720508 | -12813.711720508 |
107 | 165507 | 208287.735427743 | -42780.7354277432 |
108 | 132148 | 80542.8159070886 | 51605.1840929114 |
109 | 0 | 15369.703864653 | -15369.703864653 |
110 | 95778 | 128283.826293129 | -32505.8262931288 |
111 | 109001 | 88094.516335281 | 20906.483664719 |
112 | 158833 | 167745.835171493 | -8912.83517149339 |
113 | 147690 | 146948.626494475 | 741.373505525296 |
114 | 89887 | 107991.04078699 | -18104.0407869903 |
115 | 3616 | 15369.703864653 | -11753.703864653 |
116 | 0 | 15369.703864653 | -15369.703864653 |
117 | 199005 | 173261.966067005 | 25743.0339329954 |
118 | 160930 | 210353.344395838 | -49423.3443958378 |
119 | 177948 | 133531.195833149 | 44416.8041668505 |
120 | 136061 | 132416.00912082 | 3644.99087917951 |
121 | 43410 | 21493.0751778731 | 21916.9248221269 |
122 | 184277 | 208469.083080315 | -24192.0830803151 |
123 | 108858 | 112522.450557752 | -3664.45055775197 |
124 | 141744 | 155987.388890792 | -14243.3888907924 |
125 | 60493 | 41776.4904767893 | 18716.5095232107 |
126 | 19764 | 41851.8592754472 | -22087.8592754472 |
127 | 177559 | 163293.522007234 | 14265.4779927656 |
128 | 140281 | 122237.692483527 | 18043.3075164728 |
129 | 164249 | 154881.054700433 | 9367.94529956656 |
130 | 11796 | 18655.5799054498 | -6859.5799054498 |
131 | 10674 | 15369.703864653 | -4695.70386465302 |
132 | 151322 | 143241.231924327 | 8080.76807567337 |
133 | 6836 | 16648.1814344127 | -9812.18143441269 |
134 | 174712 | 157838.818535629 | 16873.1814643708 |
135 | 5118 | 19014.3083710402 | -13896.3083710402 |
136 | 40248 | 36697.5087472018 | 3550.49125279817 |
137 | 0 | 15369.703864653 | -15369.703864653 |
138 | 127628 | 122149.578325907 | 5478.42167409289 |
139 | 88837 | 134865.645253189 | -46028.6452531886 |
140 | 7131 | 16603.2560784068 | -9472.25607840677 |
141 | 9056 | 22229.2693864521 | -13173.2693864521 |
142 | 87957 | 70845.953316037 | 17111.046683963 |
143 | 144470 | 166189.476751907 | -21719.4767519067 |
144 | 111408 | 125109.678774107 | -13701.678774107 |
Goldfeld-Quandt test for Heteroskedasticity | |||
p-values | Alternative Hypothesis | ||
breakpoint index | greater | 2-sided | less |
10 | 0.30297452042022 | 0.60594904084044 | 0.69702547957978 |
11 | 0.419921818518783 | 0.839843637037565 | 0.580078181481217 |
12 | 0.425023412199241 | 0.850046824398481 | 0.574976587800759 |
13 | 0.304891961066862 | 0.609783922133724 | 0.695108038933138 |
14 | 0.204324508768677 | 0.408649017537354 | 0.795675491231323 |
15 | 0.355724565356207 | 0.711449130712415 | 0.644275434643793 |
16 | 0.268748931723736 | 0.537497863447473 | 0.731251068276264 |
17 | 0.571046251892952 | 0.857907496214097 | 0.428953748107048 |
18 | 0.516751864780784 | 0.966496270438432 | 0.483248135219216 |
19 | 0.455076319700104 | 0.910152639400209 | 0.544923680299896 |
20 | 0.374747048447369 | 0.749494096894739 | 0.625252951552631 |
21 | 0.300402645077442 | 0.600805290154883 | 0.699597354922558 |
22 | 0.258431489741266 | 0.516862979482531 | 0.741568510258734 |
23 | 0.686825924908341 | 0.626348150183318 | 0.313174075091659 |
24 | 0.61988390868291 | 0.760232182634179 | 0.38011609131709 |
25 | 0.554768987553076 | 0.890462024893848 | 0.445231012446924 |
26 | 0.612985677635409 | 0.774028644729182 | 0.387014322364591 |
27 | 0.567285176722786 | 0.865429646554427 | 0.432714823277214 |
28 | 0.75544122602345 | 0.489117547953101 | 0.24455877397655 |
29 | 0.930321462125274 | 0.139357075749451 | 0.0696785378747257 |
30 | 0.909162113743084 | 0.181675772513832 | 0.0908378862569161 |
31 | 0.89440867846885 | 0.211182643062301 | 0.10559132153115 |
32 | 0.870336422808348 | 0.259327154383304 | 0.129663577191652 |
33 | 0.837493380626345 | 0.325013238747311 | 0.162506619373655 |
34 | 0.942255519964112 | 0.115488960071776 | 0.057744480035888 |
35 | 0.924638275587164 | 0.150723448825671 | 0.0753617244128356 |
36 | 0.906535518210188 | 0.186928963579624 | 0.0934644817898119 |
37 | 0.953464204166689 | 0.0930715916666223 | 0.0465357958333112 |
38 | 0.938743085223507 | 0.122513829552986 | 0.0612569147764932 |
39 | 0.922855651333026 | 0.154288697333947 | 0.0771443486669737 |
40 | 0.960476243420202 | 0.0790475131595953 | 0.0395237565797977 |
41 | 0.966917174111195 | 0.0661656517776101 | 0.033082825888805 |
42 | 0.957019088904096 | 0.0859618221918085 | 0.0429809110959043 |
43 | 0.95068199448544 | 0.0986360110291198 | 0.0493180055145599 |
44 | 0.937875893644254 | 0.124248212711492 | 0.0621241063557462 |
45 | 0.923966001061108 | 0.152067997877784 | 0.0760339989388922 |
46 | 0.906148698154078 | 0.187702603691845 | 0.0938513018459223 |
47 | 0.915364878268558 | 0.169270243462884 | 0.0846351217314421 |
48 | 0.946473376556861 | 0.107053246886278 | 0.0535266234431392 |
49 | 0.934417349750979 | 0.131165300498042 | 0.0655826502490211 |
50 | 0.918866083434472 | 0.162267833131056 | 0.0811339165655279 |
51 | 0.907165331900984 | 0.185669336198033 | 0.0928346680990163 |
52 | 0.910189785755002 | 0.179620428489997 | 0.0898102142449984 |
53 | 0.930382364524121 | 0.139235270951759 | 0.0696176354758793 |
54 | 0.960175469482409 | 0.0796490610351819 | 0.0398245305175909 |
55 | 0.948219318536321 | 0.103561362927358 | 0.0517806814636791 |
56 | 0.933801271641306 | 0.132397456717388 | 0.0661987283586938 |
57 | 0.953964788873469 | 0.0920704222530623 | 0.0460352111265311 |
58 | 0.941956794525918 | 0.116086410948164 | 0.058043205474082 |
59 | 0.938415801166309 | 0.123168397667382 | 0.0615841988336912 |
60 | 0.956095043942667 | 0.0878099121146662 | 0.0439049560573331 |
61 | 0.943281244779699 | 0.113437510440601 | 0.0567187552203007 |
62 | 0.930357801350484 | 0.139284397299033 | 0.0696421986495165 |
63 | 0.925887478599527 | 0.148225042800946 | 0.0741125214004731 |
64 | 0.930180632208918 | 0.139638735582163 | 0.0698193677910816 |
65 | 0.923548569190451 | 0.152902861619099 | 0.0764514308095494 |
66 | 0.936616137552122 | 0.126767724895756 | 0.0633838624478779 |
67 | 0.991835012180612 | 0.0163299756387756 | 0.00816498781938782 |
68 | 0.99457357254105 | 0.0108528549179001 | 0.00542642745895003 |
69 | 0.996619401649315 | 0.00676119670137056 | 0.00338059835068528 |
70 | 0.995857351406068 | 0.00828529718786414 | 0.00414264859393207 |
71 | 0.999167688890943 | 0.0016646222181144 | 0.0008323111090572 |
72 | 0.998983522896816 | 0.00203295420636706 | 0.00101647710318353 |
73 | 0.998852389763423 | 0.00229522047315457 | 0.00114761023657729 |
74 | 0.998540251375282 | 0.00291949724943629 | 0.00145974862471815 |
75 | 0.998333159527486 | 0.00333368094502743 | 0.00166684047251372 |
76 | 0.997659574571748 | 0.00468085085650382 | 0.00234042542825191 |
77 | 0.996923152275453 | 0.00615369544909377 | 0.00307684772454689 |
78 | 0.999206704832324 | 0.00158659033535286 | 0.000793295167676428 |
79 | 0.998787793139022 | 0.00242441372195518 | 0.00121220686097759 |
80 | 0.998854364159653 | 0.00229127168069373 | 0.00114563584034686 |
81 | 0.999228322955575 | 0.00154335408884998 | 0.000771677044424992 |
82 | 0.999999157823124 | 1.68435375125795e-06 | 8.42176875628977e-07 |
83 | 0.999999566830613 | 8.66338773328544e-07 | 4.33169386664272e-07 |
84 | 0.999999152509175 | 1.6949816504143e-06 | 8.47490825207148e-07 |
85 | 0.999998359510295 | 3.28097940945736e-06 | 1.64048970472868e-06 |
86 | 0.999997466265571 | 5.0674688583115e-06 | 2.53373442915575e-06 |
87 | 0.999996567819649 | 6.86436070125086e-06 | 3.43218035062543e-06 |
88 | 0.999993829203493 | 1.23415930148522e-05 | 6.17079650742609e-06 |
89 | 0.99999049248722 | 1.90150255596669e-05 | 9.50751277983346e-06 |
90 | 0.999985792956984 | 2.84140860319034e-05 | 1.42070430159517e-05 |
91 | 0.999989446652362 | 2.11066952765813e-05 | 1.05533476382906e-05 |
92 | 0.999982938429851 | 3.41231402973067e-05 | 1.70615701486534e-05 |
93 | 0.999971036912883 | 5.7926174234665e-05 | 2.89630871173325e-05 |
94 | 0.999974669519361 | 5.06609612778118e-05 | 2.53304806389059e-05 |
95 | 0.999962863190202 | 7.42736195968987e-05 | 3.71368097984493e-05 |
96 | 0.999933187402264 | 0.000133625195472203 | 6.68125977361013e-05 |
97 | 0.999901322411449 | 0.000197355177101227 | 9.86775885506136e-05 |
98 | 0.999844077815535 | 0.000311844368929135 | 0.000155922184464567 |
99 | 0.999999479511317 | 1.04097736681918e-06 | 5.20488683409592e-07 |
100 | 0.999998889624547 | 2.22075090646993e-06 | 1.11037545323496e-06 |
101 | 0.99999935201988 | 1.29596023910552e-06 | 6.47980119552761e-07 |
102 | 0.999998839493512 | 2.32101297548467e-06 | 1.16050648774234e-06 |
103 | 0.999998398481239 | 3.2030375227253e-06 | 1.60151876136265e-06 |
104 | 0.999996573263146 | 6.8534737079012e-06 | 3.4267368539506e-06 |
105 | 0.999992718679147 | 1.45626417066525e-05 | 7.28132085332625e-06 |
106 | 0.999992072417386 | 1.58551652285549e-05 | 7.92758261427743e-06 |
107 | 0.999988335785955 | 2.33284280904131e-05 | 1.16642140452065e-05 |
108 | 0.999993853049502 | 1.22939009965278e-05 | 6.14695049826392e-06 |
109 | 0.999987816521374 | 2.43669572514448e-05 | 1.21834786257224e-05 |
110 | 0.999980451410092 | 3.90971798164404e-05 | 1.95485899082202e-05 |
111 | 0.999973716391834 | 5.2567216332867e-05 | 2.62836081664335e-05 |
112 | 0.999943473659296 | 0.000113052681408527 | 5.65263407042634e-05 |
113 | 0.99990379851419 | 0.000192402971620163 | 9.62014858100814e-05 |
114 | 0.999816124405454 | 0.000367751189091293 | 0.000183875594545647 |
115 | 0.999636518527252 | 0.000726962945496962 | 0.000363481472748481 |
116 | 0.999332567953117 | 0.00133486409376665 | 0.000667432046883327 |
117 | 0.999535257042776 | 0.000929485914447883 | 0.000464742957223941 |
118 | 0.999752762562898 | 0.000494474874202973 | 0.000247237437101487 |
119 | 0.99983826576816 | 0.000323468463680402 | 0.000161734231840201 |
120 | 0.999672904134845 | 0.000654191730309855 | 0.000327095865154927 |
121 | 0.999715010142069 | 0.000569979715861114 | 0.000284989857930557 |
122 | 0.999439839168474 | 0.00112032166305102 | 0.000560160831525512 |
123 | 0.998722940466271 | 0.00255411906745864 | 0.00127705953372932 |
124 | 0.999989548316985 | 2.09033660292148e-05 | 1.04516830146074e-05 |
125 | 0.999980383815474 | 3.92323690517466e-05 | 1.96161845258733e-05 |
126 | 0.999976327947798 | 4.73441044041583e-05 | 2.36720522020792e-05 |
127 | 0.999914972107265 | 0.000170055785470376 | 8.50278927351882e-05 |
128 | 0.99992944351407 | 0.000141112971859297 | 7.05564859296484e-05 |
129 | 0.999722028641323 | 0.000555942717353187 | 0.000277971358676593 |
130 | 0.998946407279549 | 0.00210718544090225 | 0.00105359272045112 |
131 | 0.996534607577009 | 0.0069307848459819 | 0.00346539242299095 |
132 | 0.999954924561218 | 9.01508775648854e-05 | 4.50754387824427e-05 |
133 | 0.999656293133335 | 0.000687413733329361 | 0.00034370686666468 |
134 | 0.99794302084254 | 0.00411395831491969 | 0.00205697915745985 |
Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity | |||
Description | # significant tests | % significant tests | OK/NOK |
1% type I error level | 66 | 0.528 | NOK |
5% type I error level | 68 | 0.544 | NOK |
10% type I error level | 76 | 0.608 | NOK |