Multiple Linear Regression - Estimated Regression Equation |
Popularity[t] = + 0.184727929928006 + 0.102458915938333FindingFriends[t] + 0.241835431638646KnowingPeople[t] + 0.349828593066031Liked[t] + 0.637259261836312Celebrity[t] + 0.0988008593457308Date[t] -0.0064127230084315t + 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) | 0.184727929928006 | 1.456114 | 0.1269 | 0.899219 | 0.44961 |
FindingFriends | 0.102458915938333 | 0.097707 | 1.0486 | 0.296043 | 0.148022 |
KnowingPeople | 0.241835431638646 | 0.061846 | 3.9103 | 0.00014 | 7e-05 |
Liked | 0.349828593066031 | 0.09795 | 3.5715 | 0.000478 | 0.000239 |
Celebrity | 0.637259261836312 | 0.158123 | 4.0302 | 8.9e-05 | 4.4e-05 |
Date | 0.0988008593457308 | 0.196706 | 0.5023 | 0.616215 | 0.308107 |
t | -0.0064127230084315 | 0.011948 | -0.5367 | 0.592247 | 0.296123 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 0.707225438473912 |
R-squared | 0.500167820824616 |
Adjusted R-squared | 0.480040350522252 |
F-TEST (value) | 24.8500091323379 |
F-TEST (DF numerator) | 6 |
F-TEST (DF denominator) | 149 |
p-value | 0 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 2.11754990906277 |
Sum Squared Residuals | 668.118624988388 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
1 | 13 | 11.4543275117720 | 1.54567248822804 |
2 | 12 | 11.168961806666 | 0.831038193334013 |
3 | 15 | 13.6117180193699 | 1.38828198063014 |
4 | 12 | 10.8943548499658 | 1.10564515003425 |
5 | 10 | 10.7288194829093 | -0.728819482909259 |
6 | 12 | 9.27712836625497 | 2.72287163374503 |
7 | 15 | 16.8349613115104 | -1.83496131151042 |
8 | 9 | 10.5190753155630 | -1.51907531556297 |
9 | 12 | 12.2876546666686 | -0.287654666668564 |
10 | 11 | 7.98266202959082 | 3.01733797040918 |
11 | 11 | 13.3158061960333 | -2.31580619603329 |
12 | 11 | 12.1177715402679 | -1.11777154026790 |
13 | 15 | 12.2309892046120 | 2.76901079538798 |
14 | 7 | 11.2771808340937 | -4.27718083409372 |
15 | 11 | 11.6859380696307 | -0.685938069630715 |
16 | 11 | 10.9514443947728 | 0.048555605227192 |
17 | 10 | 12.0857079252257 | -2.08570792522574 |
18 | 14 | 14.3434923850977 | -0.343492385097678 |
19 | 10 | 8.77787839319098 | 1.22212160680902 |
20 | 6 | 9.54495805583857 | -3.54495805583857 |
21 | 11 | 8.68493096388895 | 2.31506903611105 |
22 | 15 | 14.4622375895413 | 0.537762410458681 |
23 | 11 | 11.6739988091688 | -0.673998809168759 |
24 | 12 | 9.54793088021921 | 2.45206911978079 |
25 | 14 | 13.4503773201246 | 0.54962267987537 |
26 | 15 | 14.8746623236532 | 0.125337676346752 |
27 | 9 | 14.6720094061378 | -5.67200940613781 |
28 | 13 | 12.4920373869371 | 0.507962613062922 |
29 | 13 | 13.2253428417033 | -0.225342841703291 |
30 | 16 | 10.8007757530054 | 5.19922424699464 |
31 | 13 | 8.49047363972408 | 4.50952636027592 |
32 | 12 | 13.5959942573866 | -1.59599425738661 |
33 | 14 | 14.4941565523869 | -0.494156552386905 |
34 | 11 | 10.114261463498 | 0.885738536501996 |
35 | 9 | 10.5435335130268 | -1.54353351302678 |
36 | 16 | 14.31767192821 | 1.68232807179001 |
37 | 12 | 12.9627055313080 | -0.962705531308015 |
38 | 10 | 9.22409654509814 | 0.775903454901863 |
39 | 13 | 13.1151057097753 | -0.115105709775342 |
40 | 16 | 15.2791088910786 | 0.720891108921396 |
41 | 14 | 12.9629037480582 | 1.03709625194183 |
42 | 15 | 8.10299585248458 | 6.89700414751543 |
43 | 5 | 9.7866715130881 | -4.78667151308811 |
44 | 8 | 10.4913532514399 | -2.49135325143995 |
45 | 11 | 11.2757881888268 | -0.275788188826849 |
46 | 16 | 13.8154690719800 | 2.18453092801998 |
47 | 17 | 13.0182086885763 | 3.98179131142375 |
48 | 9 | 8.50888192434085 | 0.491118075659151 |
49 | 9 | 11.9300483545774 | -2.93004835457742 |
50 | 13 | 14.6801813150963 | -1.68018131509631 |
51 | 10 | 10.9640930648647 | -0.964093064864686 |
52 | 6 | 12.4678015836414 | -6.46780158364138 |
53 | 12 | 12.4554858308938 | -0.455485830893791 |
54 | 8 | 10.4946435264284 | -2.49464352642844 |
55 | 14 | 12.4371261393879 | 1.56287386061212 |
56 | 12 | 12.4676310161414 | -0.467631016141426 |
57 | 11 | 10.7855417430767 | 0.214458256923304 |
58 | 16 | 14.4203036425596 | 1.57969635744041 |
59 | 8 | 10.2689305211847 | -2.26893052118467 |
60 | 15 | 15.2952505273873 | -0.295250527387342 |
61 | 7 | 9.46266661046707 | -2.46266661046707 |
62 | 16 | 14.0023723122088 | 1.99762768779120 |
63 | 14 | 13.7144319501693 | 0.285568049830749 |
64 | 16 | 13.7532456800423 | 2.24675431995765 |
65 | 9 | 9.92048663101368 | -0.920486631013682 |
66 | 14 | 12.2641272703568 | 1.73587272964320 |
67 | 11 | 13.0288160793959 | -2.02881607939594 |
68 | 13 | 10.4504606414420 | 2.54953935855797 |
69 | 15 | 12.9809492225135 | 2.01905077748645 |
70 | 5 | 5.65526965476048 | -0.65526965476048 |
71 | 15 | 12.4702410303607 | 2.52975896963932 |
72 | 13 | 12.3244517916519 | 0.67554820834806 |
73 | 11 | 12.0817378824939 | -1.08173788249391 |
74 | 11 | 13.9752819157442 | -2.97528191574416 |
75 | 12 | 12.4957196209476 | -0.495719620947646 |
76 | 12 | 13.4197310247318 | -1.41973102473182 |
77 | 12 | 12.2868539311207 | -0.28685393112073 |
78 | 12 | 11.8761397898480 | 0.123860210151980 |
79 | 14 | 10.7829549036294 | 3.21704509637059 |
80 | 6 | 7.96886701447297 | -1.96886701447297 |
81 | 7 | 9.82863683984184 | -2.82863683984184 |
82 | 14 | 11.9330017347079 | 2.06699826529209 |
83 | 14 | 13.8381979636553 | 0.161802036344738 |
84 | 10 | 11.2090818273308 | -1.20908182733078 |
85 | 13 | 8.68205582269451 | 4.31794417730549 |
86 | 12 | 12.3827278226039 | -0.382727822603868 |
87 | 9 | 9.32868069070524 | -0.328680690705235 |
88 | 12 | 12.0243408260259 | -0.0243408260258719 |
89 | 16 | 15.0650478471956 | 0.934952152804356 |
90 | 10 | 10.2509351394506 | -0.250935139450646 |
91 | 14 | 13.1601907440176 | 0.839809255982396 |
92 | 10 | 13.5294557228591 | -3.52945572285908 |
93 | 16 | 15.3380960656073 | 0.66190393439274 |
94 | 15 | 13.4400204696878 | 1.55997953031224 |
95 | 12 | 11.3398016495221 | 0.660198350477908 |
96 | 10 | 9.72325369263371 | 0.276746307366286 |
97 | 8 | 10.2113803731837 | -2.21138037318372 |
98 | 8 | 8.5839638760142 | -0.583963876014196 |
99 | 11 | 12.7817660837874 | -1.78176608378740 |
100 | 13 | 12.3972848053206 | 0.602715194679391 |
101 | 16 | 15.4261707972401 | 0.573829202759879 |
102 | 16 | 14.6887175338267 | 1.31128246617330 |
103 | 14 | 15.783120023334 | -1.78312002333400 |
104 | 11 | 8.80392570606941 | 2.19607429393059 |
105 | 4 | 6.86893251038793 | -2.86893251038793 |
106 | 14 | 14.5434362544404 | -0.543436254440421 |
107 | 9 | 10.3345009862217 | -1.33450098622172 |
108 | 14 | 15.2838424010198 | -1.28384240101982 |
109 | 8 | 10.4296687016322 | -2.42966870163224 |
110 | 8 | 10.8611316540725 | -2.86113165407251 |
111 | 11 | 12.1750326425653 | -1.17503264256529 |
112 | 12 | 13.6138983132027 | -1.61389831320273 |
113 | 11 | 11.4453785390021 | -0.445378539002147 |
114 | 14 | 13.5896355919577 | 0.41036440804235 |
115 | 15 | 14.3284752922129 | 0.671524707787085 |
116 | 16 | 13.3663580685751 | 2.63364193142493 |
117 | 16 | 13.4624042615050 | 2.53759573849503 |
118 | 11 | 12.7046361347967 | -1.70463613479673 |
119 | 14 | 13.6914142471268 | 0.308585752873246 |
120 | 14 | 10.8828606034594 | 3.11713939654063 |
121 | 12 | 11.3287353894553 | 0.6712646105447 |
122 | 14 | 12.4746361458334 | 1.5253638541666 |
123 | 8 | 10.1381161395181 | -2.13811613951814 |
124 | 13 | 13.7618095480229 | -0.76180954802293 |
125 | 16 | 13.6529379090762 | 2.34706209092383 |
126 | 12 | 10.8327470394836 | 1.16725296051639 |
127 | 16 | 15.3724527412253 | 0.627547258774659 |
128 | 12 | 13.2838711469848 | -1.28387114698484 |
129 | 11 | 11.3710149332596 | -0.371014933259569 |
130 | 4 | 6.26171529119994 | -2.26171529119994 |
131 | 16 | 15.3468018491916 | 0.653198150808385 |
132 | 15 | 12.4302550440968 | 2.56974495590315 |
133 | 10 | 11.3339267659976 | -1.33392676599763 |
134 | 13 | 13.0801691844501 | -0.0801691844500615 |
135 | 15 | 13.1051398157146 | 1.89486018428544 |
136 | 12 | 10.5070382494129 | 1.49296175058711 |
137 | 14 | 13.4735263170367 | 0.526473682963345 |
138 | 7 | 10.573267534394 | -3.573267534394 |
139 | 19 | 14.0117892393699 | 4.98821076063011 |
140 | 12 | 12.5715353979438 | -0.571535397943801 |
141 | 12 | 12.1641645992487 | -0.164164599248651 |
142 | 13 | 13.4008870456399 | -0.400887045639915 |
143 | 15 | 12.8196129850909 | 2.18038701490908 |
144 | 8 | 8.14265477299094 | -0.142654772990940 |
145 | 12 | 10.7899600333214 | 1.21003996667862 |
146 | 10 | 10.7095121600920 | -0.709512160092034 |
147 | 8 | 11.2805515789296 | -3.28055157892957 |
148 | 10 | 14.261451480109 | -4.261451480109 |
149 | 15 | 13.7372099319199 | 1.26279006808015 |
150 | 16 | 14.5890623743796 | 1.41093762562044 |
151 | 13 | 13.2420751468102 | -0.242075146810151 |
152 | 16 | 15.1131134138541 | 0.88688658614592 |
153 | 9 | 10.6373404646853 | -1.63734046468531 |
154 | 14 | 13.5779794235252 | 0.422020576474804 |
155 | 14 | 13.1082107005343 | 0.891789299465702 |
156 | 12 | 10.5269118213967 | 1.47308817860326 |
Goldfeld-Quandt test for Heteroskedasticity | |||
p-values | Alternative Hypothesis | ||
breakpoint index | greater | 2-sided | less |
10 | 0.0738539342406379 | 0.147707868481276 | 0.926146065759362 |
11 | 0.111412168598258 | 0.222824337196516 | 0.888587831401742 |
12 | 0.0734578741372406 | 0.146915748274481 | 0.92654212586276 |
13 | 0.54882734548451 | 0.90234530903098 | 0.45117265451549 |
14 | 0.718699208630822 | 0.562601582738355 | 0.281300791369178 |
15 | 0.652090412310228 | 0.695819175379545 | 0.347909587689772 |
16 | 0.576112492137821 | 0.847775015724357 | 0.423887507862179 |
17 | 0.48920416864993 | 0.97840833729986 | 0.51079583135007 |
18 | 0.451879492529463 | 0.903758985058927 | 0.548120507470537 |
19 | 0.366000416506305 | 0.73200083301261 | 0.633999583493695 |
20 | 0.510038740501301 | 0.979922518997399 | 0.489961259498699 |
21 | 0.516426674721425 | 0.96714665055715 | 0.483573325278575 |
22 | 0.545846586045827 | 0.908306827908347 | 0.454153413954173 |
23 | 0.472361536131052 | 0.944723072262104 | 0.527638463868948 |
24 | 0.477945431608221 | 0.955890863216443 | 0.522054568391779 |
25 | 0.434731365974649 | 0.869462731949298 | 0.565268634025351 |
26 | 0.374386151119235 | 0.74877230223847 | 0.625613848880765 |
27 | 0.620073597970519 | 0.759852804058961 | 0.379926402029481 |
28 | 0.574954642758156 | 0.850090714483688 | 0.425045357241844 |
29 | 0.519760536276081 | 0.960478927447838 | 0.480239463723919 |
30 | 0.711763970133492 | 0.576472059733017 | 0.288236029866508 |
31 | 0.812570598711138 | 0.374858802577725 | 0.187429401288862 |
32 | 0.776825716797298 | 0.446348566405405 | 0.223174283202702 |
33 | 0.730783095040026 | 0.538433809919948 | 0.269216904959974 |
34 | 0.697861985984422 | 0.604276028031156 | 0.302138014015578 |
35 | 0.69575087166892 | 0.60849825666216 | 0.30424912833108 |
36 | 0.708445328680888 | 0.583109342638223 | 0.291554671319112 |
37 | 0.675394706082227 | 0.649210587835546 | 0.324605293917773 |
38 | 0.626334916756153 | 0.747330166487694 | 0.373665083243847 |
39 | 0.572897411380088 | 0.854205177239824 | 0.427102588619912 |
40 | 0.543550964821021 | 0.912898070357958 | 0.456449035178979 |
41 | 0.502091559029739 | 0.995816881940522 | 0.497908440970261 |
42 | 0.757528815664885 | 0.484942368670231 | 0.242471184335115 |
43 | 0.956307047538371 | 0.087385904923257 | 0.0436929524616285 |
44 | 0.966683420979718 | 0.0666331580405636 | 0.0333165790202818 |
45 | 0.956290274161252 | 0.0874194516774967 | 0.0437097258387484 |
46 | 0.961225446856714 | 0.0775491062865718 | 0.0387745531432859 |
47 | 0.980650982255261 | 0.0386980354894774 | 0.0193490177447387 |
48 | 0.97421652545787 | 0.0515669490842622 | 0.0257834745421311 |
49 | 0.982136641646371 | 0.0357267167072569 | 0.0178633583536284 |
50 | 0.979210150922893 | 0.0415796981542141 | 0.0207898490771071 |
51 | 0.97446674575257 | 0.0510665084948611 | 0.0255332542474306 |
52 | 0.997597461351614 | 0.004805077296772 | 0.002402538648386 |
53 | 0.996534554484524 | 0.00693089103095228 | 0.00346544551547614 |
54 | 0.997121346101836 | 0.0057573077963282 | 0.0028786538981641 |
55 | 0.99710451393585 | 0.00579097212829858 | 0.00289548606414929 |
56 | 0.995913070323251 | 0.00817385935349715 | 0.00408692967674857 |
57 | 0.994229234073585 | 0.0115415318528298 | 0.00577076592641488 |
58 | 0.993564980729086 | 0.0128700385418285 | 0.00643501927091424 |
59 | 0.99514767680476 | 0.00970464639048047 | 0.00485232319524023 |
60 | 0.993662276710802 | 0.0126754465783969 | 0.00633772328919846 |
61 | 0.99448678054191 | 0.0110264389161778 | 0.00551321945808888 |
62 | 0.995041687770348 | 0.00991662445930408 | 0.00495831222965204 |
63 | 0.993354910372801 | 0.0132901792543975 | 0.00664508962719873 |
64 | 0.993715406157568 | 0.0125691876848638 | 0.0062845938424319 |
65 | 0.992074101296807 | 0.0158517974063868 | 0.00792589870319338 |
66 | 0.991233013479951 | 0.0175339730400972 | 0.00876698652004858 |
67 | 0.991193655492438 | 0.0176126890151242 | 0.00880634450756212 |
68 | 0.99240860329775 | 0.0151827934045007 | 0.00759139670225035 |
69 | 0.99262298900723 | 0.0147540219855377 | 0.00737701099276885 |
70 | 0.990035459478192 | 0.0199290810436162 | 0.0099645405218081 |
71 | 0.991512344594023 | 0.0169753108119531 | 0.00848765540597653 |
72 | 0.988744712009448 | 0.0225105759811049 | 0.0112552879905524 |
73 | 0.985875535529372 | 0.028248928941256 | 0.014124464470628 |
74 | 0.989683954110711 | 0.0206320917785782 | 0.0103160458892891 |
75 | 0.986064984710967 | 0.0278700305780663 | 0.0139350152890332 |
76 | 0.983814010657477 | 0.0323719786850452 | 0.0161859893425226 |
77 | 0.978757230581324 | 0.0424855388373513 | 0.0212427694186757 |
78 | 0.97189841343023 | 0.0562031731395398 | 0.0281015865697699 |
79 | 0.981928839719816 | 0.0361423205603687 | 0.0180711602801844 |
80 | 0.981171189093485 | 0.0376576218130292 | 0.0188288109065146 |
81 | 0.984465618766586 | 0.0310687624668274 | 0.0155343812334137 |
82 | 0.985531580579376 | 0.028936838841248 | 0.014468419420624 |
83 | 0.980548112818612 | 0.0389037743627765 | 0.0194518871813882 |
84 | 0.976025194854872 | 0.0479496102902564 | 0.0239748051451282 |
85 | 0.993614742822052 | 0.0127705143558967 | 0.00638525717794837 |
86 | 0.991186158493816 | 0.0176276830123688 | 0.00881384150618442 |
87 | 0.987937413476295 | 0.0241251730474103 | 0.0120625865237051 |
88 | 0.984168771851926 | 0.0316624562961473 | 0.0158312281480737 |
89 | 0.980266995450385 | 0.0394660090992293 | 0.0197330045496147 |
90 | 0.973933446018777 | 0.0521331079624469 | 0.0260665539812234 |
91 | 0.96894737673181 | 0.0621052465363797 | 0.0310526232681899 |
92 | 0.981483206720742 | 0.0370335865585169 | 0.0185167932792585 |
93 | 0.976077099013598 | 0.0478458019728039 | 0.0239229009864019 |
94 | 0.972824609097762 | 0.0543507818044763 | 0.0271753909022381 |
95 | 0.96597903556356 | 0.068041928872882 | 0.034020964436441 |
96 | 0.957543997112153 | 0.0849120057756944 | 0.0424560028878472 |
97 | 0.953597370111769 | 0.0928052597764626 | 0.0464026298882313 |
98 | 0.941028716771498 | 0.117942566457005 | 0.0589712832285023 |
99 | 0.935332034240117 | 0.129335931519765 | 0.0646679657598827 |
100 | 0.921498373330872 | 0.157003253338257 | 0.0785016266691284 |
101 | 0.902660289705945 | 0.194679420588111 | 0.0973397102940554 |
102 | 0.888687169237796 | 0.222625661524408 | 0.111312830762204 |
103 | 0.8918904622524 | 0.216219075495199 | 0.108109537747600 |
104 | 0.928929204993892 | 0.142141590012215 | 0.0710707950061076 |
105 | 0.925456916449307 | 0.149086167101386 | 0.0745430835506932 |
106 | 0.90562530027135 | 0.188749399457301 | 0.0943746997286506 |
107 | 0.88523090970282 | 0.229538180594359 | 0.114769090297179 |
108 | 0.879548215760314 | 0.240903568479371 | 0.120451784239686 |
109 | 0.876971448272647 | 0.246057103454706 | 0.123028551727353 |
110 | 0.896714705031344 | 0.206570589937312 | 0.103285294968656 |
111 | 0.888818831945975 | 0.222362336108051 | 0.111181168054025 |
112 | 0.926529602725404 | 0.146940794549192 | 0.073470397274596 |
113 | 0.904866008509663 | 0.190267982980675 | 0.0951339914903373 |
114 | 0.882761840721651 | 0.234476318556697 | 0.117238159278349 |
115 | 0.856578652191078 | 0.286842695617844 | 0.143421347808922 |
116 | 0.847360482630237 | 0.305279034739525 | 0.152639517369763 |
117 | 0.845160067878447 | 0.309679864243105 | 0.154839932121553 |
118 | 0.846213905052698 | 0.307572189894604 | 0.153786094947302 |
119 | 0.814040652836467 | 0.371918694327066 | 0.185959347163533 |
120 | 0.851321019990752 | 0.297357960018496 | 0.148678980009248 |
121 | 0.818990515920393 | 0.362018968159215 | 0.181009484079607 |
122 | 0.79045236724802 | 0.419095265503961 | 0.209547632751980 |
123 | 0.782510780887197 | 0.434978438225605 | 0.217489219112803 |
124 | 0.746706356137427 | 0.506587287725146 | 0.253293643862573 |
125 | 0.734130909366521 | 0.531738181266957 | 0.265869090633479 |
126 | 0.715398152194316 | 0.569203695611368 | 0.284601847805684 |
127 | 0.657211416468591 | 0.685577167062818 | 0.342788583531409 |
128 | 0.629278984908168 | 0.741442030183665 | 0.370721015091832 |
129 | 0.636265128901009 | 0.727469742197983 | 0.363734871098991 |
130 | 0.640084554700864 | 0.719830890598272 | 0.359915445299136 |
131 | 0.594546146744681 | 0.810907706510637 | 0.405453853255319 |
132 | 0.553103349561024 | 0.893793300877953 | 0.446896650438976 |
133 | 0.543699901622874 | 0.912600196754252 | 0.456300098377126 |
134 | 0.47134678279836 | 0.94269356559672 | 0.52865321720164 |
135 | 0.414315595537165 | 0.82863119107433 | 0.585684404462835 |
136 | 0.393702835618114 | 0.787405671236227 | 0.606297164381886 |
137 | 0.320790451030565 | 0.64158090206113 | 0.679209548969435 |
138 | 0.411615168913243 | 0.823230337826486 | 0.588384831086757 |
139 | 0.771364571464273 | 0.457270857071454 | 0.228635428535727 |
140 | 0.763775101199089 | 0.472449797601823 | 0.236224898800911 |
141 | 0.709611408881837 | 0.580777182236327 | 0.290388591118163 |
142 | 0.623349240400772 | 0.753301519198456 | 0.376650759599228 |
143 | 0.55995155523412 | 0.880096889531761 | 0.440048444765880 |
144 | 0.434662285853639 | 0.869324571707278 | 0.565337714146361 |
145 | 0.699580655627806 | 0.600838688744387 | 0.300419344372194 |
146 | 0.849248587677247 | 0.301502824645506 | 0.150751412322753 |
Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity | |||
Description | # significant tests | % significant tests | OK/NOK |
1% type I error level | 7 | 0.0510948905109489 | NOK |
5% type I error level | 42 | 0.306569343065693 | NOK |
10% type I error level | 55 | 0.401459854014599 | NOK |