Multiple Linear Regression - Estimated Regression Equation |
Popularity[t] = + 0.311900251104237 + 0.0962538968572746FindingFriends[t] + 0.243370280084765KnowingPeople[t] + 0.351380635996807Liked[t] + 0.627591839447788Celebrity[t] -0.000729053587325985t + 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) | 0.311900251104237 | 1.430354 | 0.2181 | 0.82768 | 0.41384 |
FindingFriends | 0.0962538968572746 | 0.096681 | 0.9956 | 0.321055 | 0.160528 |
KnowingPeople | 0.243370280084765 | 0.061616 | 3.9498 | 0.00012 | 6e-05 |
Liked | 0.351380635996807 | 0.097657 | 3.5981 | 0.000435 | 0.000217 |
Celebrity | 0.627591839447788 | 0.156555 | 4.0088 | 9.6e-05 | 4.8e-05 |
t | -0.000729053587325985 | 0.003824 | -0.1907 | 0.84905 | 0.424525 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 0.706626862823286 |
R-squared | 0.499321523263479 |
Adjusted R-squared | 0.482632240705595 |
F-TEST (value) | 29.918693121269 |
F-TEST (DF numerator) | 5 |
F-TEST (DF denominator) | 150 |
p-value | 0 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 2.11226554360225 |
Sum Squared Residuals | 669.249859003394 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
1 | 13 | 11.4203795641500 | 1.57962043585001 |
2 | 12 | 11.1183586120924 | 0.881641387907585 |
3 | 15 | 13.5803366325678 | 1.41966336743221 |
4 | 12 | 10.8609797377121 | 1.13902026228785 |
5 | 10 | 10.7076429457918 | -0.707642945791806 |
6 | 12 | 9.26550780276597 | 2.73449219723403 |
7 | 15 | 16.7976081800186 | -1.79760818001857 |
8 | 9 | 10.5137420193814 | -1.51374201938136 |
9 | 12 | 12.2972657140387 | -0.297265714038744 |
10 | 11 | 8.01514785864563 | 2.98485214135437 |
11 | 11 | 13.3639545679283 | -2.36395456792827 |
12 | 11 | 12.1173901199244 | -1.11739011992444 |
13 | 15 | 12.2582860944591 | 2.74171390554094 |
14 | 7 | 11.2966264076535 | -4.29662640765352 |
15 | 11 | 11.6856102685348 | -0.685610268534754 |
16 | 11 | 10.9946501508523 | 0.00534984914772031 |
17 | 10 | 12.1137448519878 | -2.11374485198781 |
18 | 14 | 14.3957655658695 | -0.395765565869487 |
19 | 10 | 8.73322614073083 | 1.26677385926917 |
20 | 6 | 9.53698333187755 | -3.53698333187755 |
21 | 11 | 8.68959910493328 | 2.31040089506672 |
22 | 15 | 14.4256902748864 | 0.5743097251136 |
23 | 11 | 11.6562446425042 | -0.656244642504234 |
24 | 12 | 9.52859604164508 | 2.47140395835491 |
25 | 14 | 13.4327741796251 | 0.567225820374939 |
26 | 15 | 14.8766736973404 | 0.123326302659592 |
27 | 9 | 14.6654152870345 | -5.66541528703453 |
28 | 13 | 12.5259899478982 | 0.47401005210176 |
29 | 13 | 13.2491066306160 | -0.249106630615976 |
30 | 16 | 10.8217339081963 | 5.17826609180369 |
31 | 13 | 8.5202132449136 | 4.4797867550864 |
32 | 12 | 13.6193845701623 | -1.61938457016225 |
33 | 14 | 14.5139245822831 | -0.513924582283088 |
34 | 11 | 10.0824214704211 | 0.917578529578896 |
35 | 9 | 10.4940575725236 | -1.49405757252356 |
36 | 16 | 14.2746322453856 | 1.72536775461442 |
37 | 12 | 12.9099354081469 | -0.909935408146939 |
38 | 10 | 9.20532065467509 | 0.794679345324912 |
39 | 13 | 13.0829432524605 | -0.0829432524604587 |
40 | 16 | 15.2506885064809 | 0.749311493519133 |
41 | 14 | 12.9343687620583 | 1.06563123794168 |
42 | 15 | 8.11237898688408 | 6.88762101311592 |
43 | 5 | 9.7706647906915 | -4.7706647906915 |
44 | 8 | 10.4992525492924 | -2.49925254929239 |
45 | 11 | 11.2669666144311 | -0.26696661443111 |
46 | 16 | 13.813442072709 | 2.18655792729099 |
47 | 17 | 13.0442699003956 | 3.95573009960437 |
48 | 9 | 8.5023482580459 | 0.497651741954098 |
49 | 9 | 11.9613203169699 | -2.96132031696988 |
50 | 13 | 14.7120600280171 | -1.71206002801709 |
51 | 10 | 10.9801159855069 | -0.980115985506941 |
52 | 6 | 12.4215667702018 | -6.42156677020182 |
53 | 12 | 12.4060386354747 | -0.406038635474659 |
54 | 8 | 10.4528559861037 | -2.45285598610368 |
55 | 14 | 12.3928240692452 | 1.60717593075476 |
56 | 12 | 12.4429575020281 | -0.44295750202813 |
57 | 11 | 10.7840076191121 | 0.215992380887868 |
58 | 16 | 14.4174659087467 | 1.58253409125334 |
59 | 8 | 10.2872749745773 | -2.28727497457734 |
60 | 15 | 15.2689483581006 | -0.268948358100564 |
61 | 7 | 9.4687801355478 | -2.46878013554781 |
62 | 16 | 14.0005501129756 | 1.99944988702443 |
63 | 14 | 13.7384089370771 | 0.261591062922897 |
64 | 16 | 13.7674781847709 | 2.23252181522908 |
65 | 9 | 9.94554534935273 | -0.945545349352725 |
66 | 14 | 12.2885505829274 | 1.71144941707262 |
67 | 11 | 13.0507732929606 | -2.05077329296056 |
68 | 13 | 10.4754901592473 | 2.52450984075266 |
69 | 15 | 12.9139552616132 | 2.08604473838681 |
70 | 5 | 5.59398903521193 | -0.593989035211934 |
71 | 15 | 12.4320216982182 | 2.56797830178176 |
72 | 13 | 12.2841762614034 | 0.715823738596576 |
73 | 11 | 12.0518333867861 | -1.0518333867861 |
74 | 11 | 13.9816794366049 | -2.9816794366049 |
75 | 12 | 12.4737028662899 | -0.47370286628992 |
76 | 12 | 13.3955924466714 | -1.39559244667144 |
77 | 12 | 12.2687745344120 | -0.268774534412027 |
78 | 12 | 11.8947863524504 | 0.105213647549630 |
79 | 14 | 10.7860102824173 | 3.21398971758266 |
80 | 6 | 7.98921508177449 | -1.98921508177449 |
81 | 7 | 9.8384206231643 | -2.83842062316431 |
82 | 14 | 11.9755735478375 | 2.0244264521625 |
83 | 14 | 13.8616365225238 | 0.138363477476231 |
84 | 10 | 11.2447986284746 | -1.24479862847463 |
85 | 13 | 8.72117200919769 | 4.27882799080231 |
86 | 12 | 12.4030643314044 | -0.403064331404351 |
87 | 9 | 9.27840141287423 | -0.278401412874232 |
88 | 12 | 12.0072626315439 | -0.00726263154391892 |
89 | 16 | 15.0044355239833 | 0.995564476016654 |
90 | 10 | 10.2223458041906 | -0.22234580419063 |
91 | 14 | 13.1256932535709 | 0.874306746429133 |
92 | 10 | 13.5036944042410 | -3.50369440424103 |
93 | 16 | 15.3083025632099 | 0.691697436790136 |
94 | 15 | 13.4333319684698 | 1.56666803153022 |
95 | 12 | 11.3330329358713 | 0.666967064128683 |
96 | 10 | 9.71947446344238 | 0.280525536557622 |
97 | 8 | 10.2219397561188 | -2.22193975611881 |
98 | 8 | 8.59192749759564 | -0.591927497595643 |
99 | 11 | 12.8256077791949 | -1.8256077791949 |
100 | 13 | 12.4046140402366 | 0.595385959763445 |
101 | 16 | 15.4495865177387 | 0.550413482261253 |
102 | 16 | 14.7069901648424 | 1.29300983515764 |
103 | 14 | 15.8120595336817 | -1.81205953368174 |
104 | 11 | 8.86619283332075 | 2.13380716667925 |
105 | 4 | 6.94035975221046 | -2.94035975221046 |
106 | 14 | 14.5624489223711 | -0.562448922371101 |
107 | 9 | 10.3242273530674 | -1.32422735306736 |
108 | 14 | 15.2339537859089 | -1.23395378590892 |
109 | 8 | 10.4307796018048 | -2.43077960180475 |
110 | 8 | 10.8768910530054 | -2.87689105300543 |
111 | 11 | 12.1712457336952 | -1.17124573369520 |
112 | 12 | 13.6119227695464 | -1.61192276954639 |
113 | 11 | 11.4216552232623 | -0.421655223262259 |
114 | 14 | 13.5839091221771 | 0.416090877822868 |
115 | 15 | 14.3187822639496 | 0.681217736050366 |
116 | 16 | 13.3781867622332 | 2.62181323776684 |
117 | 16 | 13.4737116055031 | 2.52628839449689 |
118 | 11 | 12.7155221434008 | -1.71552214340081 |
119 | 14 | 13.7156237784132 | 0.284376221586775 |
120 | 14 | 10.9305850368251 | 3.06941496317486 |
121 | 12 | 11.3774905160919 | 0.622509483908102 |
122 | 14 | 12.5301998894373 | 1.46980011056266 |
123 | 8 | 10.1982870358089 | -2.19828703580887 |
124 | 13 | 13.8082324073339 | -0.80823240733387 |
125 | 16 | 13.7112494568893 | 2.28875054311073 |
126 | 12 | 10.8925960430913 | 1.10740395690872 |
127 | 16 | 15.4243660205190 | 0.575633979480961 |
128 | 12 | 13.3576816601305 | -1.35768166013049 |
129 | 11 | 11.4788744152393 | -0.478874415239257 |
130 | 4 | 6.36326604189703 | -2.36326604189703 |
131 | 16 | 15.4214498061697 | 0.578550193830265 |
132 | 15 | 12.5284007086696 | 2.47159929133039 |
133 | 10 | 11.4494026606953 | -1.44940266069535 |
134 | 13 | 13.1788413871184 | -0.178841387118357 |
135 | 15 | 13.2172183608465 | 1.78278163915352 |
136 | 12 | 10.6364438720277 | 1.36355612797228 |
137 | 14 | 13.6062469169841 | 0.393753083015917 |
138 | 7 | 10.6294944097475 | -3.62949440974753 |
139 | 19 | 14.0524233426635 | 4.94757665733649 |
140 | 12 | 12.6368437398323 | -0.636843739832278 |
141 | 12 | 12.2401366678272 | -0.240136667827162 |
142 | 13 | 13.4554852658200 | -0.455485265819963 |
143 | 15 | 12.9023338053307 | 2.09766619466933 |
144 | 8 | 8.22180947772168 | -0.221809477721681 |
145 | 12 | 10.8732526698265 | 1.12674733017345 |
146 | 10 | 10.7637395114835 | -0.763739511483482 |
147 | 8 | 11.3640264779270 | -3.36402647792696 |
148 | 10 | 14.3346235509494 | -4.3346235509494 |
149 | 15 | 13.8408685540209 | 1.15913144597906 |
150 | 16 | 14.5694765918442 | 1.43052340815579 |
151 | 13 | 13.1421405299582 | -0.142140529958206 |
152 | 16 | 15.0219181214729 | 0.978081878527133 |
153 | 9 | 10.1764154281891 | -1.17641542818909 |
154 | 14 | 13.1188689048848 | 0.88113109511522 |
155 | 14 | 12.6469924003338 | 1.35300759966616 |
156 | 12 | 10.1085464206947 | 1.89145357930532 |
Goldfeld-Quandt test for Heteroskedasticity | |||
p-values | Alternative Hypothesis | ||
breakpoint index | greater | 2-sided | less |
9 | 0.0271288973144725 | 0.0542577946289451 | 0.972871102685527 |
10 | 0.0237320160187823 | 0.0474640320375646 | 0.976267983981218 |
11 | 0.0500746483944133 | 0.100149296788827 | 0.949925351605587 |
12 | 0.0336895022363794 | 0.0673790044727588 | 0.96631049776362 |
13 | 0.43771699354397 | 0.87543398708794 | 0.56228300645603 |
14 | 0.631656304602175 | 0.73668739079565 | 0.368343695397825 |
15 | 0.564406468568958 | 0.871187062862084 | 0.435593531431042 |
16 | 0.489853896617638 | 0.979707793235277 | 0.510146103382362 |
17 | 0.407174961263709 | 0.814349922527417 | 0.592825038736291 |
18 | 0.375228327888680 | 0.750456655777359 | 0.62477167211132 |
19 | 0.323424298017495 | 0.64684859603499 | 0.676575701982505 |
20 | 0.450755020313334 | 0.901510040626668 | 0.549244979686666 |
21 | 0.455250233936695 | 0.91050046787339 | 0.544749766063305 |
22 | 0.498067015927554 | 0.996134031855108 | 0.501932984072446 |
23 | 0.436371586039589 | 0.872743172079178 | 0.563628413960411 |
24 | 0.454569124582036 | 0.909138249164071 | 0.545430875417964 |
25 | 0.430355914805024 | 0.860711829610048 | 0.569644085194976 |
26 | 0.37613780328455 | 0.7522756065691 | 0.62386219671545 |
27 | 0.607141574223036 | 0.785716851553928 | 0.392858425776964 |
28 | 0.558213708658504 | 0.883572582682992 | 0.441786291341496 |
29 | 0.501877526164309 | 0.996244947671382 | 0.498122473835691 |
30 | 0.680614978273516 | 0.638770043452967 | 0.319385021726484 |
31 | 0.78487482407371 | 0.430250351852582 | 0.215125175926291 |
32 | 0.747531869458115 | 0.504936261083771 | 0.252468130541885 |
33 | 0.699162236299025 | 0.601675527401951 | 0.300837763700975 |
34 | 0.663536604513489 | 0.672926790973022 | 0.336463395486511 |
35 | 0.669657108768266 | 0.660685782463467 | 0.330342891231734 |
36 | 0.677031010873087 | 0.645937978253827 | 0.322968989126913 |
37 | 0.644196270547146 | 0.711607458905707 | 0.355803729452854 |
38 | 0.594445117584089 | 0.811109764831822 | 0.405554882415911 |
39 | 0.540247519348869 | 0.919504961302263 | 0.459752480651131 |
40 | 0.510925384464888 | 0.978149231070224 | 0.489074615535112 |
41 | 0.470276725018734 | 0.940553450037468 | 0.529723274981266 |
42 | 0.735932527574331 | 0.528134944851338 | 0.264067472425669 |
43 | 0.949896926661653 | 0.100206146676694 | 0.0501030733383468 |
44 | 0.961863763625622 | 0.0762724727487554 | 0.0381362363743777 |
45 | 0.950479420029323 | 0.099041159941353 | 0.0495205799706765 |
46 | 0.95612156244137 | 0.087756875117259 | 0.0438784375586295 |
47 | 0.978005041638857 | 0.0439899167222855 | 0.0219949583611428 |
48 | 0.970977851856593 | 0.0580442962868146 | 0.0290221481434073 |
49 | 0.97986997120834 | 0.0402600575833185 | 0.0201300287916592 |
50 | 0.976882069208047 | 0.0462358615839068 | 0.0231179307919534 |
51 | 0.972188747529155 | 0.0556225049416906 | 0.0278112524708453 |
52 | 0.99731387743686 | 0.00537224512628198 | 0.00268612256314099 |
53 | 0.996146192790614 | 0.00770761441877232 | 0.00385380720938616 |
54 | 0.99690985734227 | 0.00618028531546141 | 0.00309014265773070 |
55 | 0.996789174791947 | 0.00642165041610637 | 0.00321082520805318 |
56 | 0.99547462674024 | 0.0090507465195201 | 0.00452537325976005 |
57 | 0.993655762891814 | 0.0126884742163714 | 0.00634423710818572 |
58 | 0.992966186786152 | 0.0140676264276952 | 0.0070338132138476 |
59 | 0.994591443992065 | 0.0108171120158696 | 0.0054085560079348 |
60 | 0.992928010947237 | 0.0141439781055268 | 0.00707198905276341 |
61 | 0.993793912215512 | 0.0124121755689765 | 0.00620608778448825 |
62 | 0.994479896176263 | 0.0110402076474742 | 0.00552010382373709 |
63 | 0.992674929042306 | 0.0146501419153876 | 0.00732507095769381 |
64 | 0.993195313062856 | 0.0136093738742873 | 0.00680468693714367 |
65 | 0.99136242508632 | 0.0172751498273610 | 0.00863757491368051 |
66 | 0.990606359909093 | 0.0187872801818146 | 0.00939364009090729 |
67 | 0.99051511443123 | 0.0189697711375376 | 0.00948488556876878 |
68 | 0.992012311213737 | 0.0159753775725256 | 0.00798768878626282 |
69 | 0.992159276137787 | 0.0156814477244258 | 0.0078407238622129 |
70 | 0.989475595730578 | 0.0210488085388444 | 0.0105244042694222 |
71 | 0.99114658164435 | 0.0177068367112994 | 0.0088534183556497 |
72 | 0.988363180633268 | 0.0232736387334636 | 0.0116368193667318 |
73 | 0.985394380199667 | 0.0292112396006669 | 0.0146056198003334 |
74 | 0.98942340946403 | 0.0211531810719391 | 0.0105765905359696 |
75 | 0.985733315128355 | 0.0285333697432905 | 0.0142666848716452 |
76 | 0.983271056609379 | 0.0334578867812428 | 0.0167289433906214 |
77 | 0.977992489647992 | 0.0440150207040159 | 0.0220075103520080 |
78 | 0.97099138969605 | 0.0580172206079015 | 0.0290086103039507 |
79 | 0.981765248884743 | 0.0364695022305145 | 0.0182347511152572 |
80 | 0.980886214979935 | 0.0382275700401303 | 0.0191137850200652 |
81 | 0.984064893625104 | 0.031870212749793 | 0.0159351063748965 |
82 | 0.985001189458743 | 0.0299976210825148 | 0.0149988105412574 |
83 | 0.979919393845565 | 0.040161212308869 | 0.0200806061544345 |
84 | 0.97530171908528 | 0.0493965618294395 | 0.0246982809147198 |
85 | 0.993587234709698 | 0.0128255305806038 | 0.00641276529030189 |
86 | 0.991135110114601 | 0.0177297797707974 | 0.00886488988539868 |
87 | 0.98802044905002 | 0.0239591018999588 | 0.0119795509499794 |
88 | 0.984352853029984 | 0.0312942939400328 | 0.0156471469700164 |
89 | 0.980594392819938 | 0.0388112143601248 | 0.0194056071800624 |
90 | 0.974571293674754 | 0.0508574126504927 | 0.0254287063252463 |
91 | 0.970102708590616 | 0.0597945828187673 | 0.0298972914093836 |
92 | 0.981754149379339 | 0.0364917012413225 | 0.0182458506206612 |
93 | 0.976473922759029 | 0.0470521544819423 | 0.0235260772409712 |
94 | 0.973686917170783 | 0.0526261656584347 | 0.0263130828292174 |
95 | 0.96749354240508 | 0.0650129151898406 | 0.0325064575949203 |
96 | 0.959984093492007 | 0.0800318130159869 | 0.0400159065079935 |
97 | 0.956231924218429 | 0.0875361515631423 | 0.0437680757815712 |
98 | 0.944653293551337 | 0.110693412897327 | 0.0553467064486635 |
99 | 0.939551430804507 | 0.120897138390987 | 0.0604485691954934 |
100 | 0.927186228815638 | 0.145627542368725 | 0.0728137711843623 |
101 | 0.90965443157833 | 0.180691136843340 | 0.0903455684216701 |
102 | 0.897477661405154 | 0.205044677189692 | 0.102522338594846 |
103 | 0.89906165461446 | 0.201876690771080 | 0.100938345385540 |
104 | 0.934848375124725 | 0.130303249750549 | 0.0651516248752747 |
105 | 0.931324635983792 | 0.137350728032416 | 0.0686753640162081 |
106 | 0.912549356355866 | 0.174901287288268 | 0.0874506436441342 |
107 | 0.893024651661996 | 0.213950696676009 | 0.106975348338004 |
108 | 0.884385350042088 | 0.231229299915824 | 0.115614649957912 |
109 | 0.880434174354857 | 0.239131651290286 | 0.119565825645143 |
110 | 0.902229301375204 | 0.195541397249593 | 0.0977706986247963 |
111 | 0.893033452157635 | 0.213933095684730 | 0.106966547842365 |
112 | 0.927979968102992 | 0.144040063794017 | 0.0720200318970083 |
113 | 0.90683113463983 | 0.186337730720340 | 0.0931688653601698 |
114 | 0.883707520886727 | 0.232584958226546 | 0.116292479113273 |
115 | 0.85636259365643 | 0.287274812687139 | 0.143637406343570 |
116 | 0.851984345793722 | 0.296031308412557 | 0.148015654206278 |
117 | 0.856968071949157 | 0.286063856101685 | 0.143031928050843 |
118 | 0.85091577610826 | 0.29816844778348 | 0.14908422389174 |
119 | 0.816568062541469 | 0.366863874917062 | 0.183431937458531 |
120 | 0.863431181346933 | 0.273137637306134 | 0.136568818653067 |
121 | 0.836895978377214 | 0.326208043245573 | 0.163104021622786 |
122 | 0.815218552596204 | 0.369562894807593 | 0.184781447403796 |
123 | 0.802197681751186 | 0.395604636497628 | 0.197802318248814 |
124 | 0.761517246718793 | 0.476965506562414 | 0.238482753281207 |
125 | 0.763932977711337 | 0.472134044577326 | 0.236067022288663 |
126 | 0.754777102760487 | 0.490445794479025 | 0.245222897239513 |
127 | 0.701166807279828 | 0.597666385440345 | 0.298833192720172 |
128 | 0.664311142846483 | 0.671377714307035 | 0.335688857153517 |
129 | 0.679217672931071 | 0.641564654137859 | 0.320782327068929 |
130 | 0.680976361163367 | 0.638047277673267 | 0.319023638836633 |
131 | 0.629433684744462 | 0.741132630511076 | 0.370566315255538 |
132 | 0.601317962540632 | 0.797364074918736 | 0.398682037459368 |
133 | 0.588562363407912 | 0.822875273184176 | 0.411437636592088 |
134 | 0.513980516509781 | 0.972038966980438 | 0.486019483490219 |
135 | 0.471456293692949 | 0.942912587385897 | 0.528543706307051 |
136 | 0.461456555572394 | 0.922913111144788 | 0.538543444427606 |
137 | 0.386247460572805 | 0.77249492114561 | 0.613752539427195 |
138 | 0.458288756373684 | 0.916577512747368 | 0.541711243626316 |
139 | 0.819063253587959 | 0.361873492824083 | 0.180936746412041 |
140 | 0.825905389449817 | 0.348189221100366 | 0.174094610550183 |
141 | 0.789378580520582 | 0.421242838958836 | 0.210621419479418 |
142 | 0.719747878942648 | 0.560504242114704 | 0.280252121057352 |
143 | 0.657440650234045 | 0.685118699531909 | 0.342559349765955 |
144 | 0.542451151397969 | 0.915097697204062 | 0.457548848602031 |
145 | 0.620754860570403 | 0.758490278859195 | 0.379245139429597 |
146 | 0.772988593262024 | 0.454022813475951 | 0.227011406737976 |
147 | 0.630413159579241 | 0.739173680841518 | 0.369586840420759 |
Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity | |||
Description | # significant tests | % significant tests | OK/NOK |
1% type I error level | 5 | 0.0359712230215827 | NOK |
5% type I error level | 43 | 0.309352517985612 | NOK |
10% type I error level | 57 | 0.410071942446043 | NOK |