Multiple Linear Regression - Estimated Regression Equation |
Knowingpeople[t] = + 0.704773125332253 + 0.388112646909159Popularity[t] -0.072086130850391Findingfriends[t] + 0.267672517283153Liked[t] + 0.669522359383499Celebrity[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) | 0.704773125332253 | 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 | 0.669522359383499 | 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) | 28.0511693125378 |
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 | 14 | 10.3014276369277 | 3.69857236307227 |
2 | 8 | 11.324445839636 | -3.32444583963596 |
3 | 12 | 14.1054959532972 | -2.10549595329718 |
4 | 7 | 11.9425540742875 | -4.94255407428749 |
5 | 10 | 10.1570477729521 | -0.157047772952123 |
6 | 7 | 9.71772860358581 | -2.71772860358581 |
7 | 16 | 15.7636273140793 | 0.236372685920685 |
8 | 11 | 8.95524050495868 | 2.04475949504132 |
9 | 14 | 10.9225959975356 | 3.07740400246438 |
10 | 6 | 9.62863754931304 | -3.62863754931304 |
11 | 16 | 12.3781309853462 | 3.62186901465381 |
12 | 11 | 11.3381830348271 | -0.33818303482715 |
13 | 16 | 12.0255248766475 | 3.97447512335247 |
14 | 12 | 8.30251546672273 | 3.69748453327727 |
15 | 7 | 11.4616832904095 | -4.46168329040952 |
16 | 13 | 9.731465798777 | 3.268534201223 |
17 | 11 | 10.950070387918 | 0.049929612082009 |
18 | 15 | 13.6452971755376 | 1.35470282446237 |
19 | 7 | 8.88009424815192 | -1.88009424815192 |
20 | 9 | 8.15133321848316 | 0.848666781516844 |
21 | 7 | 9.14402450712748 | -2.14402450712748 |
22 | 14 | 14.4352596645471 | -0.435259664547138 |
23 | 15 | 10.2054017717277 | 4.79459822827226 |
24 | 7 | 10.1195784456862 | -3.11957844568616 |
25 | 15 | 12.7701934928378 | 2.22980650716222 |
26 | 17 | 14.0334098224468 | 2.96659017755321 |
27 | 15 | 12.1065837830922 | 2.89341621690782 |
28 | 14 | 12.2685755272298 | 1.73142447277016 |
29 | 14 | 12.8660117557629 | 1.13398824423705 |
30 | 8 | 12.4750465851723 | -4.47504658517226 |
31 | 8 | 9.84884580244664 | -1.84884580244664 |
32 | 14 | 12.8076628201037 | 1.19233717989626 |
33 | 14 | 13.9750608867876 | 0.0249391132124124 |
34 | 8 | 10.5551553567449 | -2.55515535674487 |
35 | 11 | 8.95524050495868 | 2.04475949504132 |
36 | 16 | 14.1538499520728 | 1.8461500479272 |
37 | 10 | 12.5293132335858 | -2.52931323358577 |
38 | 8 | 9.83796113093699 | -1.83796113093699 |
39 | 14 | 12.454166976779 | 1.54583302322099 |
40 | 16 | 15.0910448287395 | 0.908955171260549 |
41 | 13 | 12.7701934928378 | 0.229806507162218 |
42 | 5 | 10.8306524195813 | -5.83065241958131 |
43 | 8 | 6.78468168267052 | 1.21531831732948 |
44 | 10 | 8.90688650618306 | 1.09311349381694 |
45 | 8 | 11.4102691656775 | -3.41026916567754 |
46 | 13 | 14.5556997941731 | -1.55569979417314 |
47 | 15 | 13.6047677223153 | 1.3952322776847 |
48 | 6 | 7.93596456055805 | -1.93596456055805 |
49 | 12 | 10.2321940297589 | 1.76780597024112 |
50 | 16 | 13.1850983977781 | 2.81490160222192 |
51 | 5 | 11.2177429052011 | -6.21774290520115 |
52 | 15 | 9.34620567554937 | 5.65379432445063 |
53 | 12 | 11.5921183569191 | 0.407881643080883 |
54 | 8 | 9.10247289261583 | -1.10247289261583 |
55 | 13 | 12.0285850026039 | 0.971414997396109 |
56 | 14 | 11.3965319704864 | 2.60346802951365 |
57 | 12 | 10.2153967086113 | 1.78460329138868 |
58 | 16 | 14.5656947310567 | 1.43430526894327 |
59 | 10 | 8.37085933926553 | 1.62914066073448 |
60 | 15 | 15.1047820239306 | -0.104782023930638 |
61 | 8 | 7.77716536904001 | 0.222834630959986 |
62 | 16 | 13.8140913039393 | 2.18590869606075 |
63 | 19 | 12.7187793681058 | 6.2812206318942 |
64 | 14 | 14.1538499520728 | -0.153849952072798 |
65 | 6 | 10.1086937741765 | -4.10869377417651 |
66 | 13 | 12.1006711334543 | 0.899328866545718 |
67 | 15 | 11.3381830348271 | 3.66181696517285 |
68 | 7 | 11.444885969262 | -4.44488596926197 |
69 | 13 | 13.1583061397469 | -0.158306139746941 |
70 | 4 | 4.31353783315534 | -0.313537833155342 |
71 | 14 | 12.5608699112138 | 1.43913008878617 |
72 | 13 | 11.7125584865451 | 1.28744151345488 |
73 | 11 | 11.2760918408603 | -0.276091840860348 |
74 | 14 | 13.1090624063453 | 0.890937593654738 |
75 | 12 | 12.1381404607202 | -0.138140460720245 |
76 | 15 | 11.9939681990195 | 3.00603180098054 |
77 | 14 | 10.9846871915024 | 3.01531280849758 |
78 | 13 | 11.6127903630375 | 1.38720963696247 |
79 | 8 | 11.6988212913539 | -3.69882129135394 |
80 | 6 | 6.4518578454642 | -0.451857845464202 |
81 | 7 | 8.44668772842351 | -1.44668772842351 |
82 | 13 | 12.935037760657 | 0.0649622393430256 |
83 | 13 | 13.6452971755376 | -0.645297175537633 |
84 | 11 | 10.4247202902353 | 0.575279709764726 |
85 | 5 | 10.105841250495 | -5.10584125049497 |
86 | 12 | 11.6542095508859 | 0.345790449114081 |
87 | 8 | 8.75965411852592 | -0.759654118525917 |
88 | 11 | 12.2202215284542 | -1.22022152845422 |
89 | 14 | 15.4928946708398 | -1.4928946708398 |
90 | 9 | 9.68311180000138 | -0.683111800001383 |
91 | 10 | 13.6452971755376 | -3.64529717553763 |
92 | 13 | 11.8251740706178 | 1.17482592938216 |
93 | 16 | 15.0189586978891 | 0.98104130211094 |
94 | 16 | 13.3024784014477 | 2.69752159855228 |
95 | 11 | 11.1288594532032 | -0.128859453203201 |
96 | 8 | 9.34335315186784 | -1.34335315186784 |
97 | 4 | 10.8019482656348 | -6.80194826563478 |
98 | 7 | 7.55784685053248 | -0.557846850532477 |
99 | 14 | 11.7600227506947 | 2.23997724930533 |
100 | 11 | 12.3820808459286 | -1.38208084592862 |
101 | 17 | 15.0910448287395 | 1.90895517126055 |
102 | 15 | 14.7512861806059 | 0.248713819394094 |
103 | 17 | 13.9643838175528 | 3.03561618244723 |
104 | 5 | 9.74146073566059 | -4.74146073566059 |
105 | 4 | 5.55213229606351 | -1.55213229606351 |
106 | 10 | 14.8401696326038 | -4.84016963260385 |
107 | 11 | 8.96523544184227 | 2.03476455815773 |
108 | 15 | 14.7166693770215 | 0.283330622978522 |
109 | 10 | 8.84479531221626 | 1.15520468778374 |
110 | 9 | 9.99824858143409 | -0.998248581434088 |
111 | 12 | 11.3481779717107 | 0.651822028289261 |
112 | 15 | 12.9518350818045 | 2.04816491819547 |
113 | 7 | 11.6058555521103 | -4.6058555521103 |
114 | 13 | 13.3055385274041 | -0.305538527404088 |
115 | 12 | 14.6308460509799 | -2.6308460509799 |
116 | 14 | 13.8861774347896 | 0.113822565210355 |
117 | 14 | 13.8140913039393 | 0.185908696060746 |
118 | 8 | 12.4088731039598 | -4.40887310395976 |
119 | 15 | 13.0378660101209 | 1.96213398987907 |
120 | 12 | 11.235562387638 | 0.764437612361979 |
121 | 12 | 10.6549234802525 | 1.34507651974754 |
122 | 16 | 11.9050847470215 | 4.09491525297848 |
123 | 9 | 8.90688650618306 | 0.0931134938169358 |
124 | 15 | 12.5776672323614 | 2.42233276763862 |
125 | 15 | 13.8140913039393 | 1.18590869606075 |
126 | 6 | 11.5921183569191 | -5.59211835691912 |
127 | 14 | 15.6884810572726 | -1.68848105727256 |
128 | 15 | 11.9939681990195 | 3.00603180098054 |
129 | 10 | 11.4923502334115 | -1.49235023341152 |
130 | 6 | 5.42931417283237 | 0.570685827167625 |
131 | 14 | 15.6884810572726 | -1.68848105727256 |
132 | 12 | 13.2303922705973 | -1.23039227059733 |
133 | 8 | 10.6817157382836 | -2.6817157382836 |
134 | 11 | 12.8453397496445 | -1.84533974964454 |
135 | 13 | 13.4259786570301 | -0.425978657030094 |
136 | 9 | 10.6549234802525 | -1.65492348025246 |
137 | 15 | 13.1099521409713 | 1.89004785902867 |
138 | 13 | 7.77716536904001 | 5.22283463095999 |
139 | 15 | 15.2461017619499 | -0.246101761949885 |
140 | 14 | 11.7362906186199 | 2.2637093813801 |
141 | 16 | 10.7270096111029 | 5.27299038889714 |
142 | 14 | 12.6497533632118 | 1.35024663678822 |
143 | 14 | 12.6222789728294 | 1.3777210271706 |
144 | 10 | 7.37293753333454 | 2.62706246666546 |
145 | 10 | 10.6549234802525 | -0.654923480252464 |
146 | 4 | 11.1456567743508 | -7.14565677435075 |
147 | 8 | 10.0396677692825 | -2.03966776928248 |
148 | 15 | 11.5368295472163 | 3.46317045278372 |
149 | 16 | 13.4980647878805 | 2.50193521211951 |
150 | 12 | 15.4208085399894 | -3.42080853998941 |
151 | 12 | 13.1236893361625 | -1.12368933616251 |
152 | 15 | 15.0189586978891 | -0.0189586978890594 |
153 | 9 | 9.29499915309222 | -0.294999153092224 |
154 | 12 | 13.4497107891049 | -1.44971078910487 |
155 | 14 | 12.574607106405 | 1.42539289359498 |
156 | 11 | 9.65563740961901 | 1.34436259038099 |
Goldfeld-Quandt test for Heteroskedasticity | |||
p-values | Alternative Hypothesis | ||
breakpoint index | greater | 2-sided | less |
8 | 0.71459963865276 | 0.57080072269448 | 0.28540036134724 |
9 | 0.568070147247839 | 0.863859705504322 | 0.431929852752161 |
10 | 0.509771806274835 | 0.980456387450331 | 0.490228193725165 |
11 | 0.385067044660114 | 0.770134089320229 | 0.614932955339886 |
12 | 0.366632293127944 | 0.733264586255888 | 0.633367706872056 |
13 | 0.941647589996298 | 0.116704820007403 | 0.0583524100037016 |
14 | 0.928216337327801 | 0.143567325344398 | 0.071783662672199 |
15 | 0.949415775116111 | 0.101168449767779 | 0.0505842248838893 |
16 | 0.950821383184351 | 0.0983572336312983 | 0.0491786168156492 |
17 | 0.928821690316999 | 0.142356619366002 | 0.071178309683001 |
18 | 0.901125452954643 | 0.197749094090714 | 0.0988745470453572 |
19 | 0.871271474037379 | 0.257457051925242 | 0.128728525962621 |
20 | 0.828873792791711 | 0.342252414416578 | 0.171126207208289 |
21 | 0.873528837805618 | 0.252942324388765 | 0.126471162194382 |
22 | 0.832831761666721 | 0.334336476666558 | 0.167168238333279 |
23 | 0.911428657002902 | 0.177142685994197 | 0.0885713429970983 |
24 | 0.917329789424321 | 0.165340421151358 | 0.0826702105756792 |
25 | 0.909597354285369 | 0.180805291429262 | 0.0904026457146308 |
26 | 0.906830296475766 | 0.186339407048468 | 0.0931697035242341 |
27 | 0.894257865407481 | 0.211484269185039 | 0.105742134592519 |
28 | 0.872712218277176 | 0.254575563445648 | 0.127287781722824 |
29 | 0.841191661954343 | 0.317616676091314 | 0.158808338045657 |
30 | 0.884782250960574 | 0.230435498078852 | 0.115217749039426 |
31 | 0.858300475668252 | 0.283399048663497 | 0.141699524331748 |
32 | 0.826425813146499 | 0.347148373707002 | 0.173574186853501 |
33 | 0.787037121706629 | 0.425925756586741 | 0.212962878293371 |
34 | 0.785416935840629 | 0.429166128318742 | 0.214583064159371 |
35 | 0.756758199654267 | 0.486483600691465 | 0.243241800345732 |
36 | 0.736498049120193 | 0.527003901759614 | 0.263501950879807 |
37 | 0.752920380192186 | 0.494159239615628 | 0.247079619807814 |
38 | 0.722120484809506 | 0.555759030380989 | 0.277879515190494 |
39 | 0.688391051527889 | 0.623217896944222 | 0.311608948472111 |
40 | 0.642573398109862 | 0.714853203780276 | 0.357426601890138 |
41 | 0.590703536945759 | 0.818592926108481 | 0.409296463054241 |
42 | 0.710365420724896 | 0.579269158550207 | 0.289634579275104 |
43 | 0.676434081242657 | 0.647131837514687 | 0.323565918757343 |
44 | 0.631569810087595 | 0.736860379824809 | 0.368430189912405 |
45 | 0.674965799575464 | 0.650068400849072 | 0.325034200424536 |
46 | 0.639510128582825 | 0.72097974283435 | 0.360489871417175 |
47 | 0.621191313947151 | 0.757617372105698 | 0.378808686052849 |
48 | 0.59133150146413 | 0.817336997071739 | 0.40866849853587 |
49 | 0.555756140885035 | 0.888487718229929 | 0.444243859114965 |
50 | 0.546843579265252 | 0.906312841469496 | 0.453156420734748 |
51 | 0.774904805393079 | 0.450190389213842 | 0.225095194606921 |
52 | 0.873564179763814 | 0.252871640472373 | 0.126435820236186 |
53 | 0.846561544471457 | 0.306876911057085 | 0.153438455528543 |
54 | 0.828864022009331 | 0.342271955981339 | 0.171135977990669 |
55 | 0.802880627767809 | 0.394238744464383 | 0.197119372232191 |
56 | 0.799675225706146 | 0.400649548587708 | 0.200324774293854 |
57 | 0.778769428326685 | 0.442461143346631 | 0.221230571673315 |
58 | 0.748702011756043 | 0.502595976487913 | 0.251297988243957 |
59 | 0.719906203478882 | 0.560187593042236 | 0.280093796521118 |
60 | 0.679069580174137 | 0.641860839651726 | 0.320930419825863 |
61 | 0.638189502468016 | 0.723620995063968 | 0.361810497531984 |
62 | 0.62643993706571 | 0.747120125868581 | 0.37356006293429 |
63 | 0.808952570739576 | 0.382094858520848 | 0.191047429260424 |
64 | 0.775293058673434 | 0.449413882653132 | 0.224706941326566 |
65 | 0.827291659961093 | 0.345416680077814 | 0.172708340038907 |
66 | 0.798699744489125 | 0.40260051102175 | 0.201300255510875 |
67 | 0.828125442471672 | 0.343749115056656 | 0.171874557528328 |
68 | 0.878452565293772 | 0.243094869412455 | 0.121547434706228 |
69 | 0.853384666623337 | 0.293230666753325 | 0.146615333376663 |
70 | 0.828423785176956 | 0.343152429646088 | 0.171576214823044 |
71 | 0.805572304037942 | 0.388855391924117 | 0.194427695962058 |
72 | 0.778355943397676 | 0.443288113204648 | 0.221644056602324 |
73 | 0.744245755403748 | 0.511508489192505 | 0.255754244596252 |
74 | 0.720647559247222 | 0.558704881505555 | 0.279352440752778 |
75 | 0.680779323145896 | 0.638441353708209 | 0.319220676854104 |
76 | 0.692890063337399 | 0.614219873325201 | 0.307109936662601 |
77 | 0.701799576001743 | 0.596400847996513 | 0.298200423998257 |
78 | 0.671060175775011 | 0.657879648449977 | 0.328939824224989 |
79 | 0.724341641552077 | 0.551316716895846 | 0.275658358447923 |
80 | 0.685087096368307 | 0.629825807263385 | 0.314912903631693 |
81 | 0.656339687672425 | 0.68732062465515 | 0.343660312327575 |
82 | 0.612267911462485 | 0.775464177075031 | 0.387732088537515 |
83 | 0.571996011304638 | 0.856007977390724 | 0.428003988695362 |
84 | 0.528928099640377 | 0.942143800719246 | 0.471071900359623 |
85 | 0.705305642585896 | 0.589388714828209 | 0.294694357414104 |
86 | 0.664393761325459 | 0.671212477349083 | 0.335606238674541 |
87 | 0.626446335556479 | 0.747107328887042 | 0.373553664443521 |
88 | 0.589981457159005 | 0.820037085681989 | 0.410018542840995 |
89 | 0.560844093349959 | 0.878311813300082 | 0.439155906650041 |
90 | 0.518698496131556 | 0.962603007736888 | 0.481301503868444 |
91 | 0.562102433942788 | 0.875795132114424 | 0.437897566057212 |
92 | 0.550930136552975 | 0.89813972689405 | 0.449069863447025 |
93 | 0.512100418370669 | 0.975799163258661 | 0.487899581629331 |
94 | 0.505542805219136 | 0.988914389561728 | 0.494457194780864 |
95 | 0.458509146135323 | 0.917018292270647 | 0.541490853864677 |
96 | 0.43127662168779 | 0.86255324337558 | 0.56872337831221 |
97 | 0.646445968107389 | 0.707108063785222 | 0.353554031892611 |
98 | 0.606658600504486 | 0.786682798991027 | 0.393341399495514 |
99 | 0.603019817138753 | 0.793960365722495 | 0.396980182861247 |
100 | 0.569972901575805 | 0.860054196848391 | 0.430027098424195 |
101 | 0.555933618022022 | 0.888132763955956 | 0.444066381977978 |
102 | 0.508238987028197 | 0.983522025943605 | 0.491761012971803 |
103 | 0.569875927572311 | 0.860248144855378 | 0.430124072427689 |
104 | 0.74100631312975 | 0.517987373740501 | 0.25899368687025 |
105 | 0.733351565939001 | 0.533296868121998 | 0.266648434060999 |
106 | 0.782367845216274 | 0.435264309567451 | 0.217632154783726 |
107 | 0.757014804866247 | 0.485970390267507 | 0.242985195133753 |
108 | 0.738021861592309 | 0.523956276815382 | 0.261978138407691 |
109 | 0.700605260021353 | 0.598789479957294 | 0.299394739978647 |
110 | 0.655885281798185 | 0.688229436403629 | 0.344114718201815 |
111 | 0.612525693994439 | 0.774948612011122 | 0.387474306005561 |
112 | 0.652252231315671 | 0.695495537368659 | 0.347747768684329 |
113 | 0.729804922234937 | 0.540390155530125 | 0.270195077765063 |
114 | 0.68355624665615 | 0.6328875066877 | 0.31644375334385 |
115 | 0.658092558715608 | 0.683814882568784 | 0.341907441284392 |
116 | 0.606610419075904 | 0.786779161848192 | 0.393389580924096 |
117 | 0.554518840296746 | 0.890962319406509 | 0.445481159703254 |
118 | 0.58119025396328 | 0.837619492073441 | 0.41880974603672 |
119 | 0.554784931237087 | 0.890430137525825 | 0.445215068762913 |
120 | 0.513959123674959 | 0.972081752650082 | 0.486040876325041 |
121 | 0.460371070794693 | 0.920742141589386 | 0.539628929205307 |
122 | 0.4819885777203 | 0.9639771554406 | 0.5180114222797 |
123 | 0.423288917250248 | 0.846577834500496 | 0.576711082749752 |
124 | 0.416346996903757 | 0.832693993807513 | 0.583653003096243 |
125 | 0.364099102167395 | 0.72819820433479 | 0.635900897832605 |
126 | 0.585609564500766 | 0.828780870998468 | 0.414390435499234 |
127 | 0.529286016017756 | 0.941427967964487 | 0.470713983982243 |
128 | 0.563502224570378 | 0.872995550859244 | 0.436497775429622 |
129 | 0.507558191427364 | 0.984883617145273 | 0.492441808572636 |
130 | 0.453593482331141 | 0.907186964662282 | 0.546406517668859 |
131 | 0.39402786913921 | 0.78805573827842 | 0.60597213086079 |
132 | 0.349397462841879 | 0.698794925683757 | 0.650602537158121 |
133 | 0.358603141547415 | 0.71720628309483 | 0.641396858452585 |
134 | 0.309986936035581 | 0.619973872071161 | 0.69001306396442 |
135 | 0.2499549534423 | 0.499909906884599 | 0.7500450465577 |
136 | 0.268496855157471 | 0.536993710314943 | 0.731503144842529 |
137 | 0.236555137105923 | 0.473110274211846 | 0.763444862894077 |
138 | 0.292327283967103 | 0.584654567934206 | 0.707672716032897 |
139 | 0.255624137691129 | 0.511248275382258 | 0.744375862308871 |
140 | 0.252868421517583 | 0.505736843035165 | 0.747131578482417 |
141 | 0.36747130160986 | 0.73494260321972 | 0.63252869839014 |
142 | 0.313435179715116 | 0.626870359430232 | 0.686564820284884 |
143 | 0.232576442225032 | 0.465152884450065 | 0.767423557774968 |
144 | 0.211608189961462 | 0.423216379922924 | 0.788391810038538 |
145 | 0.16456335941678 | 0.329126718833561 | 0.83543664058322 |
146 | 0.773120669036112 | 0.453758661927776 | 0.226879330963888 |
147 | 0.659877966546134 | 0.680244066907732 | 0.340122033453866 |
148 | 0.714984503386654 | 0.570030993226691 | 0.285015496613346 |
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 | 0 | 0 | OK |
10% type I error level | 1 | 0.00709219858156028 | OK |