Multiple Linear Regression - Estimated Regression Equation |
prviews[t] = + 5.84270727800582 + 0.0906212383188266pageviews[t] + 7.5397453001376e-05timeRFC[t] -0.233426083554026logins[t] -0.0844621270577663compviews[t] -0.0116967919567321bloggedcomp[t] + 3.55091044993122reviewedcomp[t] -0.893702411677609submittedfb[t] -0.000279262529713488characters[t] + 0.00158543289067959revisions[t] -0.000577068559838723seconds[t] -1.22996781829454inclhyperlinks[t] + 1.32897970716613inclblogs[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) | 5.84270727800582 | 6.476492 | 0.9021 | 0.368638 | 0.184319 |
pageviews | 0.0906212383188266 | 0.016321 | 5.5523 | 0 | 0 |
timeRFC | 7.5397453001376e-05 | 0.000128 | 0.5907 | 0.555763 | 0.277882 |
logins | -0.233426083554026 | 0.155259 | -1.5035 | 0.135128 | 0.067564 |
compviews | -0.0844621270577663 | 0.044765 | -1.8868 | 0.061404 | 0.030702 |
bloggedcomp | -0.0116967919567321 | 0.284905 | -0.0411 | 0.967314 | 0.483657 |
reviewedcomp | 3.55091044993122 | 1.780335 | 1.9945 | 0.048171 | 0.024086 |
submittedfb | -0.893702411677609 | 0.484477 | -1.8447 | 0.067343 | 0.033672 |
characters | -0.000279262529713488 | 0.000188 | -1.4856 | 0.139787 | 0.069893 |
revisions | 0.00158543289067959 | 0.001179 | 1.3444 | 0.181139 | 0.090569 |
seconds | -0.000577068559838723 | 0.00026 | -2.2165 | 0.028384 | 0.014192 |
inclhyperlinks | -1.22996781829454 | 1.469061 | -0.8372 | 0.403978 | 0.201989 |
inclblogs | 1.32897970716613 | 1.521032 | 0.8737 | 0.383861 | 0.191931 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 0.801238639918568 |
R-squared | 0.641983358098556 |
Adjusted R-squared | 0.609187940519798 |
F-TEST (value) | 19.5753981957032 |
F-TEST (DF numerator) | 12 |
F-TEST (DF denominator) | 131 |
p-value | 0 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 29.7009226589135 |
Sum Squared Residuals | 115560.96968959 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
1 | 109 | 88.7624135326258 | 20.2375864673742 |
2 | 68 | 42.6636041854672 | 25.3363958145329 |
3 | 1 | 12.9484952078624 | -11.9484952078624 |
4 | 146 | 137.650373149449 | 8.34962685055097 |
5 | 124 | 175.453721788205 | -51.4537217882048 |
6 | 267 | 276.996186341708 | -9.99618634170843 |
7 | 83 | 67.0502649837672 | 15.9497350162328 |
8 | 48 | 62.2948361543548 | -14.2948361543548 |
9 | 87 | 96.0166378028183 | -9.01663780281832 |
10 | 129 | 121.834063481558 | 7.1659365184416 |
11 | 146 | 117.898910822809 | 28.1010891771913 |
12 | 95 | 100.028494265626 | -5.02849426562585 |
13 | 57 | 72.1008690721302 | -15.1008690721302 |
14 | 240 | 128.183432234258 | 111.816567765742 |
15 | 46 | 67.3198150704816 | -21.3198150704816 |
16 | 81 | 57.9265355106772 | 23.0734644893228 |
17 | 85 | 95.8343139721299 | -10.8343139721299 |
18 | 62 | 63.2380010158897 | -1.23800101588975 |
19 | 126 | 134.257996493001 | -8.2579964930014 |
20 | 44 | 41.1949656422881 | 2.80503435771193 |
21 | 37 | 43.0030007696456 | -6.00300076964559 |
22 | 94 | 113.74930100436 | -19.7493010043602 |
23 | 127 | 81.9891827204275 | 45.0108172795725 |
24 | 159 | 134.324472499483 | 24.6755275005169 |
25 | 41 | 84.4662069218392 | -43.4662069218393 |
26 | 153 | 68.9424183266142 | 84.0575816733858 |
27 | 86 | 75.8782230026785 | 10.1217769973215 |
28 | 55 | 48.935909901546 | 6.06409009845398 |
29 | 78 | 92.8176427467507 | -14.8176427467508 |
30 | 84 | 88.4533795014758 | -4.45337950147579 |
31 | 71 | 81.0046376107981 | -10.0046376107981 |
32 | 111 | 79.6625878898717 | 31.3374121101283 |
33 | 71 | 88.0626174247505 | -17.0626174247505 |
34 | 243 | 135.001673396346 | 107.998326603654 |
35 | 66 | 104.835312724358 | -38.8353127243585 |
36 | 0 | 5.69990243277064 | -5.69990243277064 |
37 | 58 | 78.0498856810992 | -20.0498856810992 |
38 | 131 | 94.9900573704005 | 36.0099426295995 |
39 | 258 | 135.095229076635 | 122.904770923365 |
40 | 56 | 47.3906349280951 | 8.60936507190488 |
41 | 90 | 93.6449120182319 | -3.64491201823186 |
42 | 57 | 70.3948266329095 | -13.3948266329095 |
43 | 35 | 33.8786290135061 | 1.12137098649388 |
44 | 53 | 64.8021885909701 | -11.8021885909701 |
45 | 46 | 54.3107016540066 | -8.31070165400657 |
46 | 37 | 60.4750884079475 | -23.4750884079475 |
47 | 45 | 63.2411759891155 | -18.2411759891155 |
48 | 111 | 82.3258282592719 | 28.6741717407281 |
49 | 104 | 84.7286898665681 | 19.2713101334319 |
50 | 150 | 121.776096617439 | 28.2239033825606 |
51 | 37 | 39.8809451912135 | -2.8809451912135 |
52 | 49 | 81.3372341836151 | -32.3372341836151 |
53 | 83 | 107.111488321262 | -24.1114883212619 |
54 | 67 | 97.3463363638752 | -30.3463363638752 |
55 | 39 | 69.6912395475871 | -30.6912395475871 |
56 | 69 | 79.3400511225836 | -10.3400511225836 |
57 | 58 | 97.3527690900549 | -39.3527690900549 |
58 | 68 | 49.0276297125761 | 18.9723702874239 |
59 | 30 | 39.4438815844694 | -9.4438815844694 |
60 | 54 | 140.714685163564 | -86.714685163564 |
61 | 65 | 94.735654319711 | -29.735654319711 |
62 | 81 | 76.8099074407483 | 4.19009255925174 |
63 | 84 | 62.2680138836206 | 21.7319861163794 |
64 | 45 | 42.1358288896182 | 2.86417111038177 |
65 | 52 | 42.7819355661626 | 9.2180644338374 |
66 | 36 | 69.0963006742916 | -33.0963006742916 |
67 | 80 | 92.0678957794698 | -12.0678957794698 |
68 | 144 | 144.845207877461 | -0.845207877461 |
69 | 45 | 43.2552089251996 | 1.74479107480039 |
70 | 40 | 30.9325871284492 | 9.06741287155083 |
71 | 126 | 120.205320494242 | 5.79467950575764 |
72 | 75 | 46.3968746623828 | 28.6031253376172 |
73 | 54 | 48.7628512984006 | 5.23714870159938 |
74 | 82 | 104.051021298104 | -22.0510212981042 |
75 | 86 | 130.520923086116 | -44.5209230861161 |
76 | 62 | 80.4803930233931 | -18.4803930233931 |
77 | 99 | 101.021371942614 | -2.02137194261393 |
78 | 63 | 77.6158788135022 | -14.6158788135022 |
79 | 76 | 53.4878804894189 | 22.5121195105811 |
80 | 92 | 63.5693929179868 | 28.4306070820132 |
81 | 45 | 54.399407080041 | -9.39940708004096 |
82 | 57 | 83.5034154303 | -26.5034154303 |
83 | 44 | 45.7026710282004 | -1.70267102820044 |
84 | 132 | 85.1101405980026 | 46.8898594019974 |
85 | 44 | 43.454727807092 | 0.54527219290795 |
86 | 67 | 67.2270265455685 | -0.227026545568495 |
87 | 82 | 114.223372695255 | -32.2233726952546 |
88 | 71 | 52.4396654427021 | 18.5603345572979 |
89 | 44 | 60.3303142062513 | -16.3303142062513 |
90 | 68 | 52.9049581155085 | 15.0950418844915 |
91 | 54 | 64.0131062057196 | -10.0131062057196 |
92 | 86 | 115.189709390676 | -29.189709390676 |
93 | 59 | 45.9999206976829 | 13.0000793023171 |
94 | 74 | 45.4933344824965 | 28.5066655175035 |
95 | 18 | 29.5157567107382 | -11.5157567107382 |
96 | 156 | 87.8040848023789 | 68.1959151976211 |
97 | 87 | 90.5671309356539 | -3.56713093565392 |
98 | 15 | 16.663903251199 | -1.663903251199 |
99 | 104 | 92.8017806831243 | 11.1982193168757 |
100 | 54 | 78.8199231675418 | -24.8199231675418 |
101 | 11 | 33.0980929098403 | -22.0980929098403 |
102 | 37 | 50.458071369812 | -13.458071369812 |
103 | 80 | 64.4211992147848 | 15.5788007852152 |
104 | 66 | 62.2417990388532 | 3.75820096114679 |
105 | 27 | 35.1596847525926 | -8.15968475259264 |
106 | 59 | 39.9650960193933 | 19.0349039806067 |
107 | 113 | 61.1183423844754 | 51.8816576155246 |
108 | 24 | 48.7610030378321 | -24.7610030378321 |
109 | 0 | 5.84270727800583 | -5.84270727800583 |
110 | 55 | 45.9144091605582 | 9.08559083944177 |
111 | 43 | 40.2784358637268 | 2.72156413627324 |
112 | 45 | 53.1058420363346 | -8.10584203633464 |
113 | 55 | 50.5088757426517 | 4.4911242573483 |
114 | 66 | 42.4139998502699 | 23.5860001497301 |
115 | 5 | 10.8342008603484 | -5.83420086034843 |
116 | 0 | 5.84270727800583 | -5.84270727800583 |
117 | 67 | 48.1134966346759 | 18.8865033653241 |
118 | 67 | 70.663733917313 | -3.66373391731299 |
119 | 117 | 96.5649941489632 | 20.4350058510368 |
120 | 51 | 35.858782696397 | 15.141217303603 |
121 | 63 | 50.6301457416729 | 12.3698542583271 |
122 | 84 | 66.402083177131 | 17.597916822869 |
123 | 35 | 45.4765059507339 | -10.4765059507339 |
124 | 57 | 91.7895668079191 | -34.7895668079191 |
125 | 29 | 38.5898459474561 | -9.58984594745611 |
126 | 19 | 21.345023703051 | -2.34502370305096 |
127 | 51 | 76.7247723937241 | -25.7247723937241 |
128 | 63 | 56.436238942679 | 6.56376105732096 |
129 | 96 | 72.0930879480289 | 23.9069120519711 |
130 | 22 | 21.0982946681647 | 0.901705331835271 |
131 | 7 | 9.54569602744187 | -2.54569602744187 |
132 | 34 | 54.4699004987883 | -20.4699004987883 |
133 | 5 | 8.4203341927184 | -3.4203341927184 |
134 | 43 | 92.6314002252283 | -49.6314002252283 |
135 | 1 | 8.76914847906526 | -7.76914847906526 |
136 | 34 | 35.9653053408901 | -1.96530534089014 |
137 | 0 | 5.84270727800583 | -5.84270727800583 |
138 | 49 | 57.7860220063828 | -8.7860220063828 |
139 | 44 | 86.9976504064694 | -42.9976504064694 |
140 | 0 | 10.5065050544078 | -10.5065050544078 |
141 | 4 | 7.936663035439 | -3.936663035439 |
142 | 40 | 65.0916814778118 | -25.0916814778118 |
143 | 52 | 67.8358422423089 | -15.8358422423089 |
144 | 47 | 42.4147024848025 | 4.5852975151975 |
Goldfeld-Quandt test for Heteroskedasticity | |||
p-values | Alternative Hypothesis | ||
breakpoint index | greater | 2-sided | less |
16 | 0.455804252768294 | 0.911608505536588 | 0.544195747231706 |
17 | 0.44715408630941 | 0.89430817261882 | 0.55284591369059 |
18 | 0.424790162638349 | 0.849580325276697 | 0.575209837361652 |
19 | 0.300991830869803 | 0.601983661739606 | 0.699008169130197 |
20 | 0.372342220804512 | 0.744684441609024 | 0.627657779195488 |
21 | 0.289039694838686 | 0.578079389677373 | 0.710960305161314 |
22 | 0.507568714300929 | 0.984862571398141 | 0.492431285699071 |
23 | 0.469591206871147 | 0.939182413742295 | 0.530408793128853 |
24 | 0.385638732005035 | 0.77127746401007 | 0.614361267994965 |
25 | 0.49903876965674 | 0.998077539313479 | 0.50096123034326 |
26 | 0.508028286968636 | 0.983943426062729 | 0.491971713031364 |
27 | 0.499677863783773 | 0.999355727567545 | 0.500322136216227 |
28 | 0.426896207472493 | 0.853792414944986 | 0.573103792527507 |
29 | 0.557238671848645 | 0.88552265630271 | 0.442761328151355 |
30 | 0.645475350947663 | 0.709049298104674 | 0.354524649052337 |
31 | 0.576322808491287 | 0.847354383017425 | 0.423677191508713 |
32 | 0.73562670395641 | 0.528746592087181 | 0.26437329604359 |
33 | 0.685581731216163 | 0.628836537567675 | 0.314418268783838 |
34 | 0.990544770110508 | 0.0189104597789848 | 0.00945522988949239 |
35 | 0.994574106830726 | 0.0108517863385487 | 0.00542589316927435 |
36 | 0.991756896441914 | 0.0164862071161724 | 0.0082431035580862 |
37 | 0.988038516518234 | 0.0239229669635329 | 0.0119614834817664 |
38 | 0.987735197378132 | 0.0245296052437364 | 0.0122648026218682 |
39 | 0.999998336076331 | 3.32784733844998e-06 | 1.66392366922499e-06 |
40 | 0.999999482674561 | 1.03465087741258e-06 | 5.1732543870629e-07 |
41 | 0.999999271441595 | 1.45711681026481e-06 | 7.28558405132404e-07 |
42 | 0.999999031119468 | 1.93776106406487e-06 | 9.68880532032435e-07 |
43 | 0.999998517695688 | 2.96460862321618e-06 | 1.48230431160809e-06 |
44 | 0.999997886693729 | 4.22661254213526e-06 | 2.11330627106763e-06 |
45 | 0.999996908046931 | 6.18390613838841e-06 | 3.09195306919421e-06 |
46 | 0.999996311491171 | 7.37701765721861e-06 | 3.6885088286093e-06 |
47 | 0.999994892108595 | 1.02157828099028e-05 | 5.10789140495141e-06 |
48 | 0.999994874358167 | 1.02512836652073e-05 | 5.12564183260366e-06 |
49 | 0.999992789941662 | 1.44201166770677e-05 | 7.21005833853384e-06 |
50 | 0.999996344820207 | 7.31035958639516e-06 | 3.65517979319758e-06 |
51 | 0.9999936422854 | 1.2715429199644e-05 | 6.35771459982201e-06 |
52 | 0.999994170879115 | 1.16582417692507e-05 | 5.82912088462533e-06 |
53 | 0.999993414147416 | 1.31717051681645e-05 | 6.58585258408226e-06 |
54 | 0.999993464512819 | 1.3070974362533e-05 | 6.53548718126651e-06 |
55 | 0.99999578248138 | 8.43503724025093e-06 | 4.21751862012547e-06 |
56 | 0.999992671723801 | 1.46565523972961e-05 | 7.32827619864807e-06 |
57 | 0.999995793800602 | 8.41239879542504e-06 | 4.20619939771252e-06 |
58 | 0.99999369279091 | 1.26144181796729e-05 | 6.30720908983647e-06 |
59 | 0.999991949863596 | 1.61002728085431e-05 | 8.05013640427157e-06 |
60 | 0.999999883049525 | 2.33900949550089e-07 | 1.16950474775044e-07 |
61 | 0.9999998840782 | 2.31843600707824e-07 | 1.15921800353912e-07 |
62 | 0.999999771538451 | 4.56923098453419e-07 | 2.28461549226709e-07 |
63 | 0.999999786387301 | 4.272253982573e-07 | 2.1361269912865e-07 |
64 | 0.999999624157471 | 7.51685058617497e-07 | 3.75842529308749e-07 |
65 | 0.999999302273696 | 1.39545260809102e-06 | 6.97726304045509e-07 |
66 | 0.999999673267165 | 6.5346566932152e-07 | 3.2673283466076e-07 |
67 | 0.999999470546917 | 1.05890616631314e-06 | 5.29453083156572e-07 |
68 | 0.999999464064514 | 1.0718709726803e-06 | 5.35935486340152e-07 |
69 | 0.99999904569005 | 1.90861989936112e-06 | 9.54309949680559e-07 |
70 | 0.999998258763706 | 3.48247258736458e-06 | 1.74123629368229e-06 |
71 | 0.999998133148428 | 3.73370314424585e-06 | 1.86685157212292e-06 |
72 | 0.999999032696648 | 1.93460670369881e-06 | 9.67303351849407e-07 |
73 | 0.999998541102854 | 2.91779429105582e-06 | 1.45889714552791e-06 |
74 | 0.999998229844584 | 3.54031083208507e-06 | 1.77015541604254e-06 |
75 | 0.999998702177585 | 2.59564483041113e-06 | 1.29782241520556e-06 |
76 | 0.999997903103008 | 4.19379398503303e-06 | 2.09689699251652e-06 |
77 | 0.999996077550188 | 7.84489962351272e-06 | 3.92244981175636e-06 |
78 | 0.99999527004141 | 9.45991718088594e-06 | 4.72995859044297e-06 |
79 | 0.999993380266046 | 1.32394679082219e-05 | 6.61973395411094e-06 |
80 | 0.999993223415619 | 1.35531687627717e-05 | 6.77658438138584e-06 |
81 | 0.9999893755571 | 2.12488858000887e-05 | 1.06244429000444e-05 |
82 | 0.999994358861542 | 1.12822769168831e-05 | 5.64113845844157e-06 |
83 | 0.999990454519505 | 1.90909609903874e-05 | 9.54548049519368e-06 |
84 | 0.999999541246427 | 9.1750714531467e-07 | 4.58753572657335e-07 |
85 | 0.999999146796578 | 1.70640684418083e-06 | 8.53203422090413e-07 |
86 | 0.999998478641165 | 3.04271766947956e-06 | 1.52135883473978e-06 |
87 | 0.999999712960843 | 5.74078313926415e-07 | 2.87039156963208e-07 |
88 | 0.999999574601808 | 8.50796383833269e-07 | 4.25398191916634e-07 |
89 | 0.999999462401297 | 1.07519740653141e-06 | 5.37598703265703e-07 |
90 | 0.999999044840069 | 1.91031986187632e-06 | 9.55159930938162e-07 |
91 | 0.999998156918802 | 3.68616239582362e-06 | 1.84308119791181e-06 |
92 | 0.999996976405755 | 6.04718848929953e-06 | 3.02359424464976e-06 |
93 | 0.999995607406297 | 8.78518740597717e-06 | 4.39259370298858e-06 |
94 | 0.999993321513585 | 1.33569728292938e-05 | 6.67848641464688e-06 |
95 | 0.999991366150332 | 1.72676993350989e-05 | 8.63384966754945e-06 |
96 | 0.999999859078467 | 2.81843066164265e-07 | 1.40921533082133e-07 |
97 | 0.999999667181181 | 6.6563763771572e-07 | 3.3281881885786e-07 |
98 | 0.999999283767171 | 1.43246565888621e-06 | 7.16232829443103e-07 |
99 | 0.999998414476745 | 3.17104651045737e-06 | 1.58552325522868e-06 |
100 | 0.999997412878194 | 5.17424361203334e-06 | 2.58712180601667e-06 |
101 | 0.999997029663115 | 5.94067377039424e-06 | 2.97033688519712e-06 |
102 | 0.99999375407771 | 1.24918445795602e-05 | 6.24592228978012e-06 |
103 | 0.99998639205957 | 2.72158808590812e-05 | 1.36079404295406e-05 |
104 | 0.999972684115429 | 5.46317691414662e-05 | 2.73158845707331e-05 |
105 | 0.999950176113366 | 9.96477732689356e-05 | 4.98238866344678e-05 |
106 | 0.999938623960989 | 0.000122752078021309 | 6.13760390106544e-05 |
107 | 0.999999083935003 | 1.83212999296226e-06 | 9.16064996481128e-07 |
108 | 0.999997886336982 | 4.22732603703683e-06 | 2.11366301851841e-06 |
109 | 0.999994698438347 | 1.06031233052052e-05 | 5.3015616526026e-06 |
110 | 0.999998284379161 | 3.43124167710516e-06 | 1.71562083855258e-06 |
111 | 0.999995802514313 | 8.39497137424565e-06 | 4.19748568712282e-06 |
112 | 0.999991394510079 | 1.72109798425237e-05 | 8.60548992126184e-06 |
113 | 0.999980609513228 | 3.87809735437606e-05 | 1.93904867718803e-05 |
114 | 0.999972696003118 | 5.46079937646289e-05 | 2.73039968823145e-05 |
115 | 0.99992740953194 | 0.00014518093611937 | 7.25904680596851e-05 |
116 | 0.999813888994884 | 0.000372222010231174 | 0.000186111005115587 |
117 | 0.999844107604975 | 0.000311784790050843 | 0.000155892395025421 |
118 | 0.999743551095531 | 0.000512897808938854 | 0.000256448904469427 |
119 | 0.999379377468363 | 0.00124124506327454 | 0.000620622531637271 |
120 | 0.998609804408861 | 0.00278039118227782 | 0.00139019559113891 |
121 | 0.999562444788408 | 0.000875110423183638 | 0.000437555211591819 |
122 | 0.999971115687571 | 5.77686248587689e-05 | 2.88843124293844e-05 |
123 | 0.999909174307444 | 0.00018165138511202 | 9.08256925560101e-05 |
124 | 0.99968283089443 | 0.00063433821113993 | 0.000317169105569965 |
125 | 0.999974029358684 | 5.19412826327878e-05 | 2.59706413163939e-05 |
126 | 0.999859576574123 | 0.000280846851753255 | 0.000140423425876628 |
127 | 0.999670715000484 | 0.000658569999032566 | 0.000329284999516283 |
128 | 0.996934717258854 | 0.00613056548229195 | 0.00306528274114597 |
Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity | |||
Description | # significant tests | % significant tests | OK/NOK |
1% type I error level | 90 | 0.79646017699115 | NOK |
5% type I error level | 95 | 0.84070796460177 | NOK |
10% type I error level | 95 | 0.84070796460177 | NOK |