Multiple Linear Regression - Estimated Regression Equation |
Pageviews[t] = + 15.8228867767937 + 0.0103362572469156TimeRFC[t] + 5.54829501930936BloggedComp[t] + 1.37704766413255PeerReviews[t] + 0.00562349837913782CharComp[t] -0.0078809017666365SecComp[t] + 2.39873410547193HypComp[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) | 15.8228867767937 | 37.530041 | 0.4216 | 0.673973 | 0.336987 |
TimeRFC | 0.0103362572469156 | 0.001028 | 10.0542 | 0 | 0 |
BloggedComp | 5.54829501930936 | 2.596897 | 2.1365 | 0.034415 | 0.017208 |
PeerReviews | 1.37704766413255 | 1.259318 | 1.0935 | 0.276099 | 0.13805 |
CharComp | 0.00562349837913782 | 0.002153 | 2.6125 | 0.009991 | 0.004996 |
SecComp | -0.0078809017666365 | 0.002419 | -3.2584 | 0.001413 | 0.000707 |
HypComp | 2.39873410547193 | 2.366407 | 1.0137 | 0.312531 | 0.156266 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 0.902286270508449 |
R-squared | 0.814120513948047 |
Adjusted R-squared | 0.805979806529713 |
F-TEST (value) | 100.006113979058 |
F-TEST (DF numerator) | 6 |
F-TEST (DF denominator) | 137 |
p-value | 0 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 187.483663498733 |
Sum Squared Residuals | 4815566.99881014 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
1 | 812 | 719.936811780568 | 92.0631882194323 |
2 | 537 | 693.734356168307 | -156.734356168307 |
3 | 186 | 82.7958474663315 | 103.204152533669 |
4 | 1405 | 1050.40773158206 | 354.592268417938 |
5 | 1859 | 1606.62287987766 | 252.377120122345 |
6 | 3347 | 2717.85769242895 | 629.142307571054 |
7 | 735 | 681.999147220052 | 53.0008527799481 |
8 | 609 | 884.34598184671 | -275.34598184671 |
9 | 1100 | 930.616883217962 | 169.383116782038 |
10 | 1743 | 1757.64625273321 | -14.6462527332109 |
11 | 833 | 919.298209687687 | -86.2982096876869 |
12 | 1143 | 1146.39310102453 | -3.39310102453063 |
13 | 888 | 582.416498751602 | 305.583501248398 |
14 | 1460 | 986.205333713277 | 473.794666286723 |
15 | 638 | 647.512880994968 | -9.51288099496797 |
16 | 854 | 893.981916584355 | -39.9819165843554 |
17 | 724 | 917.097024901293 | -193.097024901293 |
18 | 323 | 238.273058703937 | 84.7269412960632 |
19 | 1467 | 969.098990647855 | 497.901009352145 |
20 | 412 | 410.156694609832 | 1.84330539016754 |
21 | 580 | 467.495859210457 | 112.504140789543 |
22 | 1177 | 1234.3926257042 | -57.3926257041978 |
23 | 595 | 608.186327599407 | -13.1863275994065 |
24 | 1103 | 876.205413419402 | 226.794586580598 |
25 | 1037 | 943.844540232895 | 93.1554597671048 |
26 | 611 | 795.394079893161 | -184.394079893161 |
27 | 1111 | 972.975386949274 | 138.024613050726 |
28 | 542 | 763.181771103605 | -221.181771103605 |
29 | 1341 | 2013.29285443177 | -672.292854431773 |
30 | 1169 | 951.91252669641 | 217.08747330359 |
31 | 752 | 848.400325848111 | -96.400325848111 |
32 | 889 | 995.255934444297 | -106.255934444297 |
33 | 1009 | 750.809026541783 | 258.190973458217 |
34 | 577 | 485.145596420646 | 91.854403579354 |
35 | 1015 | 983.253526122295 | 31.746473877705 |
36 | 0 | 15.8228867767938 | -15.8228867767938 |
37 | 562 | 677.133633243474 | -115.133633243474 |
38 | 1115 | 901.233052979334 | 213.766947020666 |
39 | 1015 | 503.008035320793 | 511.991964679207 |
40 | 976 | 1091.38569351219 | -115.385693512189 |
41 | 940 | 1064.89307922881 | -124.893079228815 |
42 | 680 | 668.493015504441 | 11.506984495559 |
43 | 404 | 576.540826866069 | -172.540826866069 |
44 | 938 | 873.896726053365 | 64.103273946635 |
45 | 580 | 905.358947203696 | -325.358947203696 |
46 | 396 | 340.291440226599 | 55.7085597734014 |
47 | 256 | 393.051289502877 | -137.051289502877 |
48 | 932 | 1178.45198259795 | -246.451982597952 |
49 | 734 | 661.320075903095 | 72.6799240969048 |
50 | 998 | 751.575683495032 | 246.424316504968 |
51 | 425 | 450.493710587224 | -25.4937105872235 |
52 | 631 | 578.552854746197 | 52.4471452538034 |
53 | 903 | 1173.42589349144 | -270.425893491444 |
54 | 804 | 985.369814182452 | -181.369814182452 |
55 | 915 | 1095.83520852212 | -180.835208522121 |
56 | 753 | 703.713372087491 | 49.2866279125091 |
57 | 674 | 805.109511533349 | -131.109511533349 |
58 | 382 | 384.606365874038 | -2.60636587403789 |
59 | 550 | 723.37531480836 | -173.37531480836 |
60 | 509 | 393.612293437528 | 115.387706562471 |
61 | 423 | 329.729890845036 | 93.2701091549644 |
62 | 696 | 441.261334692803 | 254.738665307197 |
63 | 460 | 436.283478966109 | 23.7165210338914 |
64 | 475 | 513.52768560306 | -38.5276856030598 |
65 | 373 | 484.933223834713 | -111.933223834713 |
66 | 754 | 727.129772772485 | 26.8702272275149 |
67 | 936 | 607.827714904204 | 328.172285095796 |
68 | 1501 | 902.522460914135 | 598.477539085865 |
69 | 499 | 492.320243590391 | 6.67975640960849 |
70 | 80 | 159.160169498354 | -79.160169498354 |
71 | 1517 | 1358.87680982778 | 158.123190172223 |
72 | 552 | 595.130007599109 | -43.1300075991092 |
73 | 517 | 739.996523173151 | -222.996523173151 |
74 | 917 | 701.096624407434 | 215.903375592566 |
75 | 691 | 598.972556067574 | 92.0274439324265 |
76 | 459 | 247.626351123548 | 211.373648876452 |
77 | 683 | 779.763396894465 | -96.7633968944654 |
78 | 887 | 715.260923184391 | 171.739076815609 |
79 | 410 | 397.860439000183 | 12.1395609998167 |
80 | 590 | 608.976119627228 | -18.9761196272279 |
81 | 439 | 676.860927574848 | -237.860927574848 |
82 | 621 | 925.557830788383 | -304.557830788383 |
83 | 537 | 454.666342591127 | 82.3336574088734 |
84 | 699 | 665.877663753499 | 33.1223362465013 |
85 | 477 | 477.674372344671 | -0.674372344671128 |
86 | 813 | 660.574044142886 | 152.425955857114 |
87 | 1171 | 1136.79575041154 | 34.2042495884572 |
88 | 400 | 409.43396668058 | -9.43396668058038 |
89 | 352 | 461.171606110846 | -109.171606110846 |
90 | 639 | 734.654799288545 | -95.6547992885453 |
91 | 773 | 733.543073743244 | 39.456926256756 |
92 | 1050 | 916.739402434816 | 133.260597565184 |
93 | 489 | 653.971297861693 | -164.971297861693 |
94 | 573 | 655.605983324528 | -82.6059833245279 |
95 | 334 | 354.327971885557 | -20.3279718855566 |
96 | 1229 | 1242.44473835533 | -13.4447383553267 |
97 | 701 | 979.177895456693 | -278.177895456693 |
98 | 222 | 270.498681923222 | -48.4986819232223 |
99 | 810 | 766.467768414162 | 43.5322315858375 |
100 | 739 | 575.504624049823 | 163.495375950177 |
101 | 231 | 204.556012511673 | 26.4439874883266 |
102 | 425 | 457.466057439561 | -32.4660574395607 |
103 | 578 | 754.62332339871 | -176.62332339871 |
104 | 305 | 297.734716314467 | 7.26528368553335 |
105 | 323 | 339.339292465076 | -16.3392924650763 |
106 | 463 | 351.360756488439 | 111.639243511561 |
107 | 519 | 750.364481134852 | -231.364481134852 |
108 | 294 | 235.428525948959 | 58.5714740510409 |
109 | 0 | 15.8228867767938 | -15.8228867767938 |
110 | 565 | 623.87576369358 | -58.8757636935803 |
111 | 462 | 496.834605598957 | -34.8346055989569 |
112 | 630 | 792.006472894842 | -162.006472894842 |
113 | 498 | 580.992145259811 | -82.9921452598114 |
114 | 403 | 641.213117406411 | -238.213117406411 |
115 | 38 | 47.4311614378617 | -9.43116143786166 |
116 | 0 | 15.8228867767938 | -15.8228867767938 |
117 | 559 | 997.398410460657 | -438.398410460657 |
118 | 592 | 611.172987020918 | -19.1729870209183 |
119 | 799 | 675.77265202495 | 123.22734797505 |
120 | 406 | 516.593251676206 | -110.593251676206 |
121 | 778 | 525.424253367851 | 252.575746632149 |
122 | 706 | 949.683244544488 | -243.683244544488 |
123 | 367 | 458.558245818538 | -91.5582458185377 |
124 | 639 | 611.122837844965 | 27.8771621550345 |
125 | 481 | 524.226713959868 | -43.2267139598679 |
126 | 214 | 221.446893477663 | -7.44689347766255 |
127 | 538 | 601.279236701441 | -63.2792367014408 |
128 | 451 | 618.585132461599 | -167.585132461599 |
129 | 629 | 739.836597344753 | -110.836597344754 |
130 | 256 | 154.31405359378 | 101.68594640622 |
131 | 80 | 94.657520799019 | -14.657520799019 |
132 | 555 | 824.149006262496 | -269.149006262496 |
133 | 41 | 91.989731973239 | -50.989731973239 |
134 | 497 | 474.187663358575 | 22.8123366414251 |
135 | 42 | 96.4653264630546 | -54.4653264630546 |
136 | 339 | 261.77040059215 | 77.2295994078497 |
137 | 0 | 15.8228867767938 | -15.8228867767938 |
138 | 375 | 444.412515977629 | -69.4125159776293 |
139 | 203 | 248.472692437409 | -45.4726924374093 |
140 | 81 | 89.5307372045489 | -8.53073720454889 |
141 | 61 | 59.1731496703578 | 1.82685032964219 |
142 | 313 | 333.156875461246 | -20.1568754612462 |
143 | 227 | 221.117541618809 | 5.88245838119114 |
144 | 462 | 490.30897165448 | -28.3089716544804 |
Goldfeld-Quandt test for Heteroskedasticity | |||
p-values | Alternative Hypothesis | ||
breakpoint index | greater | 2-sided | less |
10 | 0.527839581590819 | 0.944320836818363 | 0.472160418409181 |
11 | 0.595711763245089 | 0.808576473509822 | 0.404288236754911 |
12 | 0.487617775967231 | 0.975235551934463 | 0.512382224032769 |
13 | 0.671293830645368 | 0.657412338709264 | 0.328706169354632 |
14 | 0.619184129148745 | 0.76163174170251 | 0.380815870851255 |
15 | 0.516206553529378 | 0.967586892941244 | 0.483793446470622 |
16 | 0.608901193648369 | 0.782197612703261 | 0.39109880635163 |
17 | 0.681815397952184 | 0.636369204095631 | 0.318184602047816 |
18 | 0.602282142211055 | 0.79543571557789 | 0.397717857788945 |
19 | 0.972801600683993 | 0.0543967986320144 | 0.0271983993160072 |
20 | 0.984192765446075 | 0.0316144691078494 | 0.0158072345539247 |
21 | 0.975696421149679 | 0.0486071577006429 | 0.0243035788503214 |
22 | 0.971257522255094 | 0.0574849554898113 | 0.0287424777449056 |
23 | 0.967977533939292 | 0.0640449321214164 | 0.0320224660607082 |
24 | 0.967158766680757 | 0.0656824666384856 | 0.0328412333192428 |
25 | 0.955683306435739 | 0.0886333871285228 | 0.0443166935642614 |
26 | 0.976366643058031 | 0.0472667138839383 | 0.0236333569419691 |
27 | 0.96940212435204 | 0.0611957512959199 | 0.0305978756479599 |
28 | 0.965668452655367 | 0.0686630946892662 | 0.0343315473446331 |
29 | 0.999850253987477 | 0.000299492025046215 | 0.000149746012523107 |
30 | 0.999876562222742 | 0.000246875554515588 | 0.000123437777257794 |
31 | 0.999836272117288 | 0.000327455765424083 | 0.000163727882712041 |
32 | 0.999728645237273 | 0.000542709525453994 | 0.000271354762726997 |
33 | 0.999783704637534 | 0.000432590724933015 | 0.000216295362466508 |
34 | 0.999694238524894 | 0.000611522950211742 | 0.000305761475105871 |
35 | 0.999539562448269 | 0.000920875103461625 | 0.000460437551730813 |
36 | 0.999257752132045 | 0.00148449573590977 | 0.000742247867954887 |
37 | 0.999082273857114 | 0.00183545228577188 | 0.000917726142885938 |
38 | 0.999116751841141 | 0.00176649631771786 | 0.000883248158858932 |
39 | 0.999974741415807 | 5.0517168386048e-05 | 2.5258584193024e-05 |
40 | 0.999968684268109 | 6.26314637825468e-05 | 3.13157318912734e-05 |
41 | 0.999984954095502 | 3.00918089966791e-05 | 1.50459044983395e-05 |
42 | 0.999973690709586 | 5.26185808280455e-05 | 2.63092904140227e-05 |
43 | 0.99997272540124 | 5.45491975192687e-05 | 2.72745987596343e-05 |
44 | 0.999960236487822 | 7.95270243561802e-05 | 3.97635121780901e-05 |
45 | 0.999988970459391 | 2.20590812188482e-05 | 1.10295406094241e-05 |
46 | 0.999982820438819 | 3.43591223609657e-05 | 1.71795611804828e-05 |
47 | 0.999979662412544 | 4.06751749123383e-05 | 2.03375874561691e-05 |
48 | 0.99998476625133 | 3.04674973400081e-05 | 1.5233748670004e-05 |
49 | 0.999976412058971 | 4.71758820577053e-05 | 2.35879410288526e-05 |
50 | 0.999985569428557 | 2.88611428862928e-05 | 1.44305714431464e-05 |
51 | 0.999975794902099 | 4.84101958022832e-05 | 2.42050979011416e-05 |
52 | 0.999960728219616 | 7.85435607679709e-05 | 3.92717803839854e-05 |
53 | 0.999970666514751 | 5.8666970498286e-05 | 2.9333485249143e-05 |
54 | 0.999966177375964 | 6.76452480716212e-05 | 3.38226240358106e-05 |
55 | 0.999962821928694 | 7.43561426124518e-05 | 3.71780713062259e-05 |
56 | 0.999940532368544 | 0.000118935262912463 | 5.94676314562314e-05 |
57 | 0.999920283238549 | 0.000159433522902742 | 7.97167614513708e-05 |
58 | 0.999869424498248 | 0.000261151003504685 | 0.000130575501752343 |
59 | 0.999859509501425 | 0.000280980997150859 | 0.000140490498575429 |
60 | 0.999818099991341 | 0.000363800017318132 | 0.000181900008659066 |
61 | 0.99972929894093 | 0.000541402118139428 | 0.000270701059069714 |
62 | 0.999820203978694 | 0.0003595920426118 | 0.0001797960213059 |
63 | 0.999723844198818 | 0.000552311602364883 | 0.000276155801182442 |
64 | 0.999585214570916 | 0.00082957085816765 | 0.000414785429083825 |
65 | 0.99946607015403 | 0.0010678596919404 | 0.000533929845970202 |
66 | 0.999188735090011 | 0.0016225298199781 | 0.000811264909989048 |
67 | 0.999764181593851 | 0.000471636812297277 | 0.000235818406148638 |
68 | 0.999999611044239 | 7.77911522176479e-07 | 3.88955761088239e-07 |
69 | 0.999999286970381 | 1.42605923743982e-06 | 7.13029618719909e-07 |
70 | 0.999998945876889 | 2.1082462221785e-06 | 1.05412311108925e-06 |
71 | 0.999999573419173 | 8.53161653912707e-07 | 4.26580826956354e-07 |
72 | 0.999999216607846 | 1.566784308712e-06 | 7.83392154355999e-07 |
73 | 0.999999468739748 | 1.06252050434895e-06 | 5.31260252174473e-07 |
74 | 0.999999851789876 | 2.96420247788257e-07 | 1.48210123894128e-07 |
75 | 0.999999801674065 | 3.96651869915967e-07 | 1.98325934957984e-07 |
76 | 0.999999836037491 | 3.27925018033891e-07 | 1.63962509016945e-07 |
77 | 0.999999709020479 | 5.81959042232501e-07 | 2.9097952111625e-07 |
78 | 0.999999877910638 | 2.44178724826879e-07 | 1.22089362413439e-07 |
79 | 0.999999760885541 | 4.78228917315586e-07 | 2.39114458657793e-07 |
80 | 0.999999644908088 | 7.10183824272496e-07 | 3.55091912136248e-07 |
81 | 0.999999723268972 | 5.53462056576956e-07 | 2.76731028288478e-07 |
82 | 0.999999946619506 | 1.06760987686059e-07 | 5.33804938430297e-08 |
83 | 0.999999915881661 | 1.68236678377949e-07 | 8.41183391889745e-08 |
84 | 0.999999878215338 | 2.43569323929482e-07 | 1.21784661964741e-07 |
85 | 0.999999767015274 | 4.65969451863658e-07 | 2.32984725931829e-07 |
86 | 0.999999876503172 | 2.46993655891417e-07 | 1.23496827945708e-07 |
87 | 0.999999933997254 | 1.32005492640756e-07 | 6.60027463203778e-08 |
88 | 0.999999860904875 | 2.78190249541073e-07 | 1.39095124770537e-07 |
89 | 0.999999738309732 | 5.23380536291286e-07 | 2.61690268145643e-07 |
90 | 0.999999523549046 | 9.52901908245113e-07 | 4.76450954122557e-07 |
91 | 0.999999570398307 | 8.59203385804708e-07 | 4.29601692902354e-07 |
92 | 0.999999976610133 | 4.67797336546945e-08 | 2.33898668273472e-08 |
93 | 0.999999953157687 | 9.36846260215944e-08 | 4.68423130107972e-08 |
94 | 0.999999899214253 | 2.01571493864009e-07 | 1.00785746932005e-07 |
95 | 0.999999803664169 | 3.92671661936624e-07 | 1.96335830968312e-07 |
96 | 0.999999782002118 | 4.35995763493319e-07 | 2.1799788174666e-07 |
97 | 0.999999688932769 | 6.2213446134323e-07 | 3.11067230671615e-07 |
98 | 0.999999332082348 | 1.33583530420329e-06 | 6.67917652101644e-07 |
99 | 0.999998912321563 | 2.175356874604e-06 | 1.087678437302e-06 |
100 | 0.999999907620134 | 1.84759732441915e-07 | 9.23798662209574e-08 |
101 | 0.999999787849665 | 4.24300670053588e-07 | 2.12150335026794e-07 |
102 | 0.99999966703791 | 6.65924180735637e-07 | 3.32962090367818e-07 |
103 | 0.999999386922671 | 1.22615465885124e-06 | 6.13077329425619e-07 |
104 | 0.999998858951451 | 2.28209709849897e-06 | 1.14104854924949e-06 |
105 | 0.99999744302569 | 5.11394861951976e-06 | 2.55697430975988e-06 |
106 | 0.999994920264972 | 1.01594700564526e-05 | 5.07973502822629e-06 |
107 | 0.999992203391959 | 1.55932160826571e-05 | 7.79660804132855e-06 |
108 | 0.999986816237345 | 2.63675253104725e-05 | 1.31837626552363e-05 |
109 | 0.999974093148012 | 5.1813703976904e-05 | 2.5906851988452e-05 |
110 | 0.999946755426311 | 0.000106489147378507 | 5.32445736892533e-05 |
111 | 0.999891211963683 | 0.000217576072633351 | 0.000108788036316675 |
112 | 0.999804397533344 | 0.000391204933311157 | 0.000195602466655579 |
113 | 0.999625993935837 | 0.000748012128326784 | 0.000374006064163392 |
114 | 0.999713022505707 | 0.000573954988586311 | 0.000286977494293156 |
115 | 0.999458109956385 | 0.00108378008723072 | 0.000541890043615362 |
116 | 0.999037298624766 | 0.00192540275046806 | 0.000962701375234032 |
117 | 0.999593784586898 | 0.000812430826203228 | 0.000406215413101614 |
118 | 0.999843216233174 | 0.000313567533651122 | 0.000156783766825561 |
119 | 0.999827658619218 | 0.000344682761564187 | 0.000172341380782094 |
120 | 0.999626717009925 | 0.00074656598014924 | 0.00037328299007462 |
121 | 0.999997798109609 | 4.40378078110867e-06 | 2.20189039055433e-06 |
122 | 0.999995424271014 | 9.15145797160537e-06 | 4.57572898580268e-06 |
123 | 0.999989919923062 | 2.01601538761448e-05 | 1.00800769380724e-05 |
124 | 0.999973593431126 | 5.2813137747437e-05 | 2.64065688737185e-05 |
125 | 0.999950020373913 | 9.99592521739948e-05 | 4.99796260869974e-05 |
126 | 0.999855523545836 | 0.00028895290832865 | 0.000144476454164325 |
127 | 0.999552602194641 | 0.000894795610717942 | 0.000447397805358971 |
128 | 0.998855348685853 | 0.00228930262829422 | 0.00114465131414711 |
129 | 0.997718094215906 | 0.00456381156818857 | 0.00228190578409429 |
130 | 0.997688209282211 | 0.00462358143557857 | 0.00231179071778929 |
131 | 0.992723814503228 | 0.0145523709935437 | 0.00727618549677183 |
132 | 0.999200431015995 | 0.00159913796801069 | 0.000799568984005346 |
133 | 0.995661522851107 | 0.00867695429778598 | 0.00433847714889299 |
134 | 0.979312396892047 | 0.0413752062159058 | 0.0206876031079529 |
Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity | |||
Description | # significant tests | % significant tests | OK/NOK |
1% type I error level | 104 | 0.832 | NOK |
5% type I error level | 109 | 0.872 | NOK |
10% type I error level | 116 | 0.928 | NOK |