Multiple Linear Regression - Estimated Regression Equation |
KnowingPeople[t] = + 0.704773125332251 + 0.388112646909159Popularity[t] -0.072086130850391FindingFriends[t] + 0.267672517283153Liked[t] + 0.6695223593835Celebrity[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) | 0.704773125332251 | 1.797372 | 0.3921 | 0.695528 | 0.347764 |
Popularity | 0.388112646909159 | 0.097694 | 3.9727 | 0.00011 | 5.5e-05 |
FindingFriends | -0.072086130850391 | 0.121313 | -0.5942 | 0.553257 | 0.276628 |
Liked | 0.267672517283153 | 0.125002 | 2.1413 | 0.033851 | 0.016926 |
Celebrity | 0.6695223593835 | 0.199827 | 3.3505 | 0.001019 | 0.00051 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 0.652918056368862 |
R-squared | 0.426301988332492 |
Adjusted R-squared | 0.411104690010174 |
F-TEST (value) | 28.0511693125379 |
F-TEST (DF numerator) | 4 |
F-TEST (DF denominator) | 151 |
p-value | 0 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 2.65644680094332 |
Sum Squared Residuals | 1065.56315054255 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
1 | 12 | 14.1054959532972 | -2.10549595329718 |
2 | 7 | 11.9425540742875 | -4.94255407428748 |
3 | 11 | 8.95524050495868 | 2.04475949504132 |
4 | 11 | 10.950070387918 | 0.0499296120820082 |
5 | 14 | 12.8660117557629 | 1.13398824423705 |
6 | 16 | 15.0910448287395 | 0.908955171260549 |
7 | 13 | 12.7701934928378 | 0.229806507162218 |
8 | 13 | 14.5556997941731 | -1.55569979417314 |
9 | 5 | 11.2177429052011 | -6.21774290520114 |
10 | 8 | 9.10247289261583 | -1.10247289261583 |
11 | 14 | 11.3965319704864 | 2.60346802951365 |
12 | 15 | 15.1047820239306 | -0.104782023930638 |
13 | 8 | 11.6988212913539 | -3.69882129135394 |
14 | 13 | 12.935037760657 | 0.0649622393430255 |
15 | 12 | 11.6542095508859 | 0.345790449114081 |
16 | 11 | 11.1288594532032 | -0.128859453203201 |
17 | 8 | 9.34335315186784 | -1.34335315186784 |
18 | 4 | 5.55213229606351 | -1.55213229606351 |
19 | 15 | 14.7166693770215 | 0.283330622978522 |
20 | 12 | 14.6308460509799 | -2.6308460509799 |
21 | 14 | 13.8140913039393 | 0.185908696060746 |
22 | 9 | 10.6549234802525 | -1.65492348025246 |
23 | 16 | 10.7270096111029 | 5.27299038889714 |
24 | 10 | 10.6549234802525 | -0.654923480252464 |
25 | 8 | 11.324445839636 | -3.32444583963596 |
26 | 14 | 10.9225959975356 | 3.07740400246438 |
27 | 6 | 9.62863754931304 | -3.62863754931304 |
28 | 16 | 12.3781309853462 | 3.62186901465381 |
29 | 11 | 11.3381830348271 | -0.33818303482715 |
30 | 7 | 11.4616832904095 | -4.46168329040952 |
31 | 13 | 9.731465798777 | 3.268534201223 |
32 | 7 | 9.14402450712748 | -2.14402450712748 |
33 | 14 | 14.4352596645471 | -0.435259664547138 |
34 | 17 | 14.0334098224468 | 2.96659017755321 |
35 | 15 | 12.1065837830922 | 2.89341621690782 |
36 | 8 | 12.4750465851723 | -4.47504658517226 |
37 | 8 | 9.84884580244664 | -1.84884580244664 |
38 | 11 | 8.95524050495868 | 2.04475949504132 |
39 | 16 | 14.1538499520728 | 1.8461500479272 |
40 | 10 | 12.5293132335858 | -2.52931323358577 |
41 | 5 | 10.8306524195813 | -5.83065241958131 |
42 | 8 | 6.78468168267052 | 1.21531831732948 |
43 | 8 | 11.4102691656775 | -3.41026916567754 |
44 | 15 | 13.6047677223153 | 1.3952322776847 |
45 | 6 | 7.93596456055805 | -1.93596456055805 |
46 | 16 | 13.1850983977781 | 2.81490160222192 |
47 | 16 | 14.5656947310567 | 1.43430526894327 |
48 | 16 | 13.8140913039393 | 2.18590869606075 |
49 | 19 | 12.7187793681058 | 6.2812206318942 |
50 | 14 | 14.1538499520728 | -0.153849952072798 |
51 | 15 | 11.3381830348271 | 3.66181696517285 |
52 | 11 | 11.2760918408603 | -0.276091840860348 |
53 | 14 | 13.1090624063453 | 0.890937593654738 |
54 | 12 | 12.1381404607202 | -0.138140460720245 |
55 | 15 | 11.9939681990195 | 3.00603180098054 |
56 | 14 | 10.9846871915024 | 3.01531280849758 |
57 | 13 | 13.6452971755376 | -0.645297175537633 |
58 | 11 | 10.4247202902353 | 0.575279709764726 |
59 | 8 | 8.75965411852592 | -0.759654118525917 |
60 | 11 | 12.2202215284542 | -1.22022152845423 |
61 | 9 | 9.68311180000138 | -0.683111800001383 |
62 | 10 | 13.6452971755376 | -3.64529717553763 |
63 | 4 | 10.8019482656348 | -6.80194826563478 |
64 | 15 | 14.7512861806059 | 0.248713819394093 |
65 | 17 | 13.9643838175528 | 3.03561618244723 |
66 | 12 | 11.235562387638 | 0.76443761236198 |
67 | 12 | 10.6549234802525 | 1.34507651974754 |
68 | 15 | 13.1099521409713 | 1.89004785902867 |
69 | 13 | 7.77716536904001 | 5.22283463095999 |
70 | 15 | 15.2461017619499 | -0.246101761949886 |
71 | 14 | 12.6222789728294 | 1.3777210271706 |
72 | 8 | 10.0396677692825 | -2.03966776928248 |
73 | 15 | 11.5368295472163 | 3.46317045278372 |
74 | 12 | 13.1236893361625 | -1.12368933616251 |
75 | 14 | 10.3014276369277 | 3.69857236307227 |
76 | 10 | 10.1570477729521 | -0.15704777295212 |
77 | 7 | 9.71772860358581 | -2.71772860358581 |
78 | 16 | 15.7636273140793 | 0.236372685920685 |
79 | 12 | 8.30251546672273 | 3.69748453327727 |
80 | 15 | 13.6452971755376 | 1.35470282446237 |
81 | 7 | 8.88009424815192 | -1.88009424815192 |
82 | 9 | 8.15133321848316 | 0.848666781516844 |
83 | 15 | 10.2054017717277 | 4.79459822827226 |
84 | 7 | 10.1195784456862 | -3.11957844568616 |
85 | 15 | 12.7701934928378 | 2.22980650716222 |
86 | 14 | 12.8076628201037 | 1.19233717989626 |
87 | 14 | 13.9750608867876 | 0.0249391132124122 |
88 | 8 | 10.5551553567449 | -2.55515535674487 |
89 | 8 | 9.83796113093699 | -1.83796113093699 |
90 | 14 | 12.454166976779 | 1.54583302322099 |
91 | 10 | 8.90688650618307 | 1.09311349381694 |
92 | 12 | 10.2321940297589 | 1.76780597024112 |
93 | 15 | 9.34620567554937 | 5.65379432445063 |
94 | 12 | 11.5921183569191 | 0.407881643080883 |
95 | 13 | 12.0285850026039 | 0.971414997396109 |
96 | 12 | 10.2153967086113 | 1.78460329138868 |
97 | 10 | 8.37085933926553 | 1.62914066073447 |
98 | 8 | 7.77716536904001 | 0.222834630959986 |
99 | 6 | 10.1086937741765 | -4.1086937741765 |
100 | 13 | 12.1006711334543 | 0.899328866545718 |
101 | 7 | 11.444885969262 | -4.44488596926197 |
102 | 13 | 13.1583061397469 | -0.158306139746941 |
103 | 4 | 4.31353783315534 | -0.31353783315534 |
104 | 14 | 12.5608699112138 | 1.43913008878617 |
105 | 13 | 11.7125584865451 | 1.28744151345488 |
106 | 13 | 11.6127903630375 | 1.38720963696247 |
107 | 6 | 6.4518578454642 | -0.451857845464202 |
108 | 7 | 8.44668772842351 | -1.44668772842351 |
109 | 5 | 10.105841250495 | -5.10584125049497 |
110 | 14 | 15.4928946708398 | -1.4928946708398 |
111 | 13 | 11.8251740706178 | 1.17482592938216 |
112 | 16 | 15.0189586978891 | 0.98104130211094 |
113 | 16 | 13.3024784014477 | 2.69752159855228 |
114 | 7 | 7.55784685053248 | -0.557846850532476 |
115 | 14 | 11.7600227506947 | 2.23997724930533 |
116 | 11 | 12.3820808459286 | -1.38208084592862 |
117 | 17 | 15.0910448287395 | 1.90895517126055 |
118 | 5 | 9.74146073566059 | -4.74146073566059 |
119 | 10 | 14.8401696326038 | -4.84016963260385 |
120 | 11 | 8.96523544184227 | 2.03476455815773 |
121 | 10 | 8.84479531221626 | 1.15520468778374 |
122 | 9 | 9.9982485814341 | -0.998248581434088 |
123 | 12 | 11.3481779717107 | 0.651822028289261 |
124 | 15 | 12.9518350818045 | 2.04816491819547 |
125 | 7 | 11.6058555521103 | -4.6058555521103 |
126 | 13 | 13.3055385274041 | -0.305538527404088 |
127 | 8 | 12.4088731039598 | -4.40887310395976 |
128 | 16 | 11.9050847470215 | 4.09491525297848 |
129 | 15 | 12.5776672323614 | 2.42233276763862 |
130 | 6 | 11.5921183569191 | -5.59211835691912 |
131 | 6 | 5.42931417283237 | 0.570685827167627 |
132 | 12 | 13.2303922705973 | -1.23039227059733 |
133 | 8 | 10.6817157382836 | -2.6817157382836 |
134 | 11 | 12.8453397496445 | -1.84533974964454 |
135 | 13 | 13.4259786570301 | -0.425978657030095 |
136 | 14 | 11.7362906186199 | 2.2637093813801 |
137 | 14 | 12.6497533632118 | 1.35024663678822 |
138 | 10 | 7.37293753333454 | 2.62706246666546 |
139 | 4 | 11.1456567743508 | -7.14565677435075 |
140 | 16 | 13.4980647878805 | 2.50193521211951 |
141 | 12 | 15.4208085399894 | -3.42080853998941 |
142 | 15 | 15.0189586978891 | -0.01895869788906 |
143 | 12 | 13.4497107891049 | -1.44971078910487 |
144 | 14 | 12.574607106405 | 1.42539289359498 |
145 | 11 | 9.65563740961901 | 1.34436259038099 |
146 | 16 | 12.0255248766475 | 3.97447512335247 |
147 | 14 | 12.2685755272298 | 1.73142447277016 |
148 | 14 | 13.8861774347896 | 0.113822565210355 |
149 | 15 | 13.0378660101209 | 1.96213398987907 |
150 | 9 | 8.90688650618306 | 0.093113493816936 |
151 | 15 | 13.8140913039393 | 1.18590869606075 |
152 | 14 | 15.6884810572726 | -1.68848105727256 |
153 | 15 | 11.9939681990195 | 3.00603180098054 |
154 | 10 | 11.4923502334115 | -1.49235023341152 |
155 | 14 | 15.6884810572726 | -1.68848105727256 |
156 | 9 | 9.29499915309222 | -0.294999153092224 |
Goldfeld-Quandt test for Heteroskedasticity | |||
p-values | Alternative Hypothesis | ||
breakpoint index | greater | 2-sided | less |
8 | 0.531517602314718 | 0.936964795370565 | 0.468482397685282 |
9 | 0.813912439370541 | 0.372175121258917 | 0.186087560629459 |
10 | 0.720282442022533 | 0.559435115954934 | 0.279717557977467 |
11 | 0.657904630900664 | 0.684190738198672 | 0.342095369099336 |
12 | 0.682046198411008 | 0.635907603177984 | 0.317953801588992 |
13 | 0.839697007354928 | 0.320605985290144 | 0.160302992645072 |
14 | 0.777653251711927 | 0.444693496576146 | 0.222346748288073 |
15 | 0.708630852715897 | 0.582738294568205 | 0.291369147284103 |
16 | 0.626709851704733 | 0.746580296590534 | 0.373290148295267 |
17 | 0.551477162208686 | 0.897045675582628 | 0.448522837791314 |
18 | 0.468531778426622 | 0.937063556853245 | 0.531468221573378 |
19 | 0.403363486957646 | 0.806726973915293 | 0.596636513042354 |
20 | 0.358130058318999 | 0.716260116637998 | 0.641869941681001 |
21 | 0.28966382044265 | 0.579327640885301 | 0.71033617955735 |
22 | 0.233659622251139 | 0.467319244502279 | 0.76634037774886 |
23 | 0.499896904590234 | 0.999793809180468 | 0.500103095409766 |
24 | 0.430998638418712 | 0.861997276837425 | 0.569001361581288 |
25 | 0.439681655794539 | 0.879363311589077 | 0.560318344205461 |
26 | 0.481729327812443 | 0.963458655624887 | 0.518270672187557 |
27 | 0.498678804679855 | 0.99735760935971 | 0.501321195320146 |
28 | 0.569867922415226 | 0.860264155169548 | 0.430132077584774 |
29 | 0.515370753626273 | 0.969258492747453 | 0.484629246373727 |
30 | 0.548234400854444 | 0.903531198291111 | 0.451765599145556 |
31 | 0.624874159201382 | 0.750251681597237 | 0.375125840798618 |
32 | 0.631707968350881 | 0.736584063298238 | 0.368292031649119 |
33 | 0.574397600474495 | 0.85120479905101 | 0.425602399525505 |
34 | 0.580294796736032 | 0.839410406527936 | 0.419705203263968 |
35 | 0.586781163401302 | 0.826437673197396 | 0.413218836598698 |
36 | 0.644065551357884 | 0.711868897284232 | 0.355934448642116 |
37 | 0.603717052393996 | 0.792565895212008 | 0.396282947606004 |
38 | 0.601984516906267 | 0.796030966187465 | 0.398015483093733 |
39 | 0.583203706676927 | 0.833592586646146 | 0.416796293323073 |
40 | 0.580066870365003 | 0.839866259269995 | 0.419933129634997 |
41 | 0.695676359134982 | 0.608647281730037 | 0.304323640865018 |
42 | 0.65619042799185 | 0.6876191440163 | 0.34380957200815 |
43 | 0.670473732113247 | 0.659052535773506 | 0.329526267886753 |
44 | 0.660285123595949 | 0.679429752808103 | 0.339714876404051 |
45 | 0.62617417477356 | 0.74765165045288 | 0.37382582522644 |
46 | 0.61998798838026 | 0.760024023239479 | 0.380012011619739 |
47 | 0.579848754068995 | 0.84030249186201 | 0.420151245931005 |
48 | 0.581942907240775 | 0.83611418551845 | 0.418057092759225 |
49 | 0.81042378888093 | 0.379152422238139 | 0.189576211119069 |
50 | 0.774466482259161 | 0.451067035481678 | 0.225533517740839 |
51 | 0.811814022922836 | 0.376371954154329 | 0.188185977077164 |
52 | 0.777312596684577 | 0.445374806630846 | 0.222687403315423 |
53 | 0.74779586820326 | 0.504408263593481 | 0.25220413179674 |
54 | 0.706753456388361 | 0.586493087223278 | 0.293246543611639 |
55 | 0.718277548377823 | 0.563444903244353 | 0.281722451622177 |
56 | 0.736460049504134 | 0.527079900991732 | 0.263539950495866 |
57 | 0.700307838092254 | 0.599384323815491 | 0.299692161907746 |
58 | 0.658798741344757 | 0.682402517310487 | 0.341201258655243 |
59 | 0.616290895837243 | 0.767418208325513 | 0.383709104162757 |
60 | 0.582054694067227 | 0.835890611865546 | 0.417945305932773 |
61 | 0.536891857456761 | 0.926216285086478 | 0.463108142543239 |
62 | 0.584150091951162 | 0.831699816097676 | 0.415849908048838 |
63 | 0.803997488403913 | 0.392005023192174 | 0.196002511596087 |
64 | 0.769463358116071 | 0.461073283767858 | 0.230536641883929 |
65 | 0.774496164697185 | 0.45100767060563 | 0.225503835302815 |
66 | 0.742936915828695 | 0.51412616834261 | 0.257063084171305 |
67 | 0.714202970445463 | 0.571594059109073 | 0.285797029554537 |
68 | 0.692396593295833 | 0.615206813408334 | 0.307603406704167 |
69 | 0.802577236250145 | 0.394845527499711 | 0.197422763749855 |
70 | 0.768988189568734 | 0.462023620862533 | 0.231011810431266 |
71 | 0.739377756622804 | 0.521244486754391 | 0.260622243377195 |
72 | 0.724088293007418 | 0.551823413985163 | 0.275911706992582 |
73 | 0.760644566536628 | 0.478710866926743 | 0.239355433463372 |
74 | 0.728830710316429 | 0.542338579367143 | 0.271169289683571 |
75 | 0.7643704794303 | 0.4712590411394 | 0.2356295205697 |
76 | 0.728692344838109 | 0.542615310323783 | 0.271307655161891 |
77 | 0.730177165149184 | 0.539645669701633 | 0.269822834850816 |
78 | 0.699317670653394 | 0.601364658693212 | 0.300682329346606 |
79 | 0.765478729499877 | 0.469042541000245 | 0.234521270500123 |
80 | 0.739000621862728 | 0.521998756274545 | 0.260999378137272 |
81 | 0.723468840464586 | 0.553062319070828 | 0.276531159535414 |
82 | 0.690590363025762 | 0.618819273948476 | 0.309409636974238 |
83 | 0.782130746554753 | 0.435738506890493 | 0.217869253445247 |
84 | 0.797744286272776 | 0.404511427454447 | 0.202255713727224 |
85 | 0.789890124073659 | 0.420219751852682 | 0.210109875926341 |
86 | 0.762185964628367 | 0.475628070743266 | 0.237814035371633 |
87 | 0.726870927854069 | 0.546258144291863 | 0.273129072145931 |
88 | 0.747737393204246 | 0.504525213591509 | 0.252262606795754 |
89 | 0.780336376572614 | 0.439327246854772 | 0.219663623427386 |
90 | 0.75583202787052 | 0.488335944258959 | 0.24416797212948 |
91 | 0.727607012040002 | 0.544785975919997 | 0.272392987959998 |
92 | 0.716740285973181 | 0.566519428053638 | 0.283259714026819 |
93 | 0.877625854630127 | 0.244748290739745 | 0.122374145369873 |
94 | 0.855787215748143 | 0.288425568503713 | 0.144212784251857 |
95 | 0.832242968578095 | 0.33551406284381 | 0.167757031421905 |
96 | 0.80888118792366 | 0.38223762415268 | 0.19111881207634 |
97 | 0.802656015006272 | 0.394687969987456 | 0.197343984993728 |
98 | 0.78319860469908 | 0.433602790601839 | 0.216801395300919 |
99 | 0.842832883917236 | 0.314334232165529 | 0.157167116082764 |
100 | 0.81455668488876 | 0.370886630222479 | 0.185443315111239 |
101 | 0.881530249623283 | 0.236939500753434 | 0.118469750376717 |
102 | 0.855550917160246 | 0.288898165679508 | 0.144449082839754 |
103 | 0.825768040765712 | 0.348463918468576 | 0.174231959234288 |
104 | 0.796432934037716 | 0.407134131924568 | 0.203567065962284 |
105 | 0.770951486315743 | 0.458097027368514 | 0.229048513684257 |
106 | 0.73754494637703 | 0.524910107245939 | 0.26245505362297 |
107 | 0.703376028025047 | 0.593247943949906 | 0.296623971974953 |
108 | 0.670582510712749 | 0.658834978574503 | 0.329417489287251 |
109 | 0.860121246894954 | 0.279757506210093 | 0.139878753105046 |
110 | 0.840381921531612 | 0.319236156936777 | 0.159618078468388 |
111 | 0.873124361524316 | 0.253751276951368 | 0.126875638475684 |
112 | 0.85392590597044 | 0.29214818805912 | 0.14607409402956 |
113 | 0.833972325086582 | 0.332055349826837 | 0.166027674913418 |
114 | 0.798757818568279 | 0.402484362863442 | 0.201242181431721 |
115 | 0.78768239008474 | 0.424635219830518 | 0.212317609915259 |
116 | 0.752908017185312 | 0.494183965629375 | 0.247091982814688 |
117 | 0.738231106252623 | 0.523537787494755 | 0.261768893747377 |
118 | 0.930693090432811 | 0.138613819134377 | 0.0693069095671885 |
119 | 0.932698513760833 | 0.134602972478335 | 0.0673014862391673 |
120 | 0.920788290912893 | 0.158423418174214 | 0.0792117090871072 |
121 | 0.914796076020215 | 0.17040784795957 | 0.0852039239797852 |
122 | 0.889904602882723 | 0.220190794234555 | 0.110095397117277 |
123 | 0.868364877436704 | 0.263270245126592 | 0.131635122563296 |
124 | 0.877255813765586 | 0.245488372468829 | 0.122744186234414 |
125 | 0.895469021121869 | 0.209061957756263 | 0.104530978878132 |
126 | 0.864269945431438 | 0.271460109137123 | 0.135730054568562 |
127 | 0.849755409570497 | 0.300489180859006 | 0.150244590429503 |
128 | 0.844825428846148 | 0.310349142307703 | 0.155174571153852 |
129 | 0.891889546096321 | 0.216220907807358 | 0.108110453903679 |
130 | 0.966916836963612 | 0.066166326072776 | 0.033083163036388 |
131 | 0.953589414823093 | 0.0928211703538136 | 0.0464105851769068 |
132 | 0.960197664715152 | 0.0796046705696953 | 0.0398023352848476 |
133 | 0.943404306878609 | 0.113191386242783 | 0.0565956931213915 |
134 | 0.91879201435309 | 0.162415971293818 | 0.081207985646909 |
135 | 0.893000201585837 | 0.213999596828325 | 0.106999798414163 |
136 | 0.89252853052965 | 0.214942938940698 | 0.107471469470349 |
137 | 0.889520207481531 | 0.220959585036938 | 0.110479792518469 |
138 | 0.852426825790329 | 0.295146348419341 | 0.147573174209671 |
139 | 0.98656178859673 | 0.0268764228065406 | 0.0134382114032703 |
140 | 0.984893949433326 | 0.0302121011333485 | 0.0151060505666742 |
141 | 0.994031928664284 | 0.0119361426714318 | 0.00596807133571591 |
142 | 0.988255436741953 | 0.0234891265160943 | 0.0117445632580471 |
143 | 0.978153409662698 | 0.0436931806746039 | 0.021846590337302 |
144 | 0.96058750577567 | 0.0788249884486611 | 0.0394124942243306 |
145 | 0.93049243234045 | 0.139015135319098 | 0.0695075676595491 |
146 | 0.918651611480295 | 0.16269677703941 | 0.0813483885197051 |
147 | 0.929817199673893 | 0.140365600652214 | 0.070182800326107 |
148 | 0.90869868548233 | 0.182602629035338 | 0.0913013145176692 |
Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity | |||
Description | # significant tests | % significant tests | OK/NOK |
1% type I error level | 0 | 0 | OK |
5% type I error level | 5 | 0.0354609929078014 | OK |
10% type I error level | 9 | 0.0638297872340425 | OK |