Multiple Linear Regression - Estimated Regression Equation |
Celebrity[t] = + 0.423591992490579 -0.0194376966141400FindingFriends[t] + 0.154094039023444Popularity[t] + 0.103356510337141KnowingPeople[t] + 0.147677870542413Liked[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) | 0.423591992490579 | 0.705713 | 0.6002 | 0.549251 | 0.274625 |
FindingFriends | -0.0194376966141400 | 0.047694 | -0.4076 | 0.68418 | 0.34209 |
Popularity | 0.154094039023444 | 0.038342 | 4.0189 | 9.2e-05 | 4.6e-05 |
KnowingPeople | 0.103356510337141 | 0.030848 | 3.3505 | 0.001019 | 0.00051 |
Liked | 0.147677870542413 | 0.048384 | 3.0522 | 0.002685 | 0.001342 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 0.677446083231663 |
R-squared | 0.458933195685922 |
Adjusted R-squared | 0.444600300207403 |
F-TEST (value) | 32.0195731821073 |
F-TEST (DF numerator) | 4 |
F-TEST (DF denominator) | 151 |
p-value | 0 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 1.04372839595306 |
Sum Squared Residuals | 164.494713642332 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
1 | 3 | 5.54092790558286 | -2.54092790558286 |
2 | 5 | 4.78613250115072 | 0.213867498849284 |
3 | 6 | 6.14374966442514 | -0.143749664425136 |
4 | 6 | 4.59341121011358 | 1.40658878988642 |
5 | 5 | 4.42817709592157 | 0.571822904078433 |
6 | 3 | 4.53509812027116 | -1.53509812027116 |
7 | 8 | 6.7942183570161 | 1.2057816429839 |
8 | 4 | 4.33856417400698 | -0.338564174006982 |
9 | 4 | 5.55394943371597 | -1.55394943371597 |
10 | 4 | 3.95124013896818 | 0.0487598610318215 |
11 | 6 | 5.74263229166579 | 0.257367708334207 |
12 | 6 | 4.79443012259628 | 1.20556987740372 |
13 | 5 | 5.79934865644749 | -0.79934865644749 |
14 | 4 | 4.24253508361137 | -0.242535083611369 |
15 | 6 | 4.48980655856185 | 1.51019344143815 |
16 | 4 | 4.85346527272815 | -0.853465272728152 |
17 | 6 | 4.64033608357284 | 1.35966391642716 |
18 | 6 | 6.28028745979897 | -0.280287459798969 |
19 | 4 | 3.80331412721118 | 0.196685872788824 |
20 | 4 | 3.76675751933307 | 0.233242480666932 |
21 | 2 | 4.58699504163255 | -2.58699504163255 |
22 | 7 | 6.18334711794286 | 0.816652882057141 |
23 | 5 | 4.93193811947416 | 0.0680618805258387 |
24 | 4 | 4.38742024972875 | -0.387420249728749 |
25 | 6 | 5.81781615155759 | 0.182183848442409 |
26 | 6 | 6.6410945194967 | -0.641094519496695 |
27 | 7 | 5.36213939413934 | 1.63786060586066 |
28 | 5 | 5.78579425919598 | -0.785794259195978 |
29 | 6 | 5.76635656258184 | 0.233643437418162 |
30 | 4 | 5.5501865277869 | -1.55018652778690 |
31 | 4 | 4.24071258069038 | -0.240712580690376 |
32 | 7 | 5.44514695640184 | 1.55485304359816 |
33 | 7 | 6.00981538230528 | 0.990184617694725 |
34 | 4 | 4.70978924858383 | -0.709789248583832 |
35 | 4 | 4.33856417400698 | -0.338564174006982 |
36 | 6 | 6.54415417764058 | -0.544154177640585 |
37 | 6 | 5.28820126290982 | 0.711798737090177 |
38 | 5 | 3.98442142400488 | 1.01557857599512 |
39 | 6 | 5.57980329881115 | 0.420196701188854 |
40 | 7 | 6.691832048183 | 0.308167951817002 |
41 | 6 | 5.61110313088331 | 0.388896869116691 |
42 | 3 | 4.70130243596722 | -1.70130243596722 |
43 | 3 | 3.50148326760178 | -0.501483267601777 |
44 | 4 | 4.24822919180295 | -0.24822919180295 |
45 | 6 | 4.503798288199 | 1.496201711801 |
46 | 7 | 6.08640677608675 | 0.913593223913251 |
47 | 5 | 6.44721383578447 | -1.44721383578447 |
48 | 4 | 3.32043492085162 | 0.679565079148381 |
49 | 5 | 4.75671412204309 | 0.243285877956911 |
50 | 6 | 6.21011223449853 | -0.210112234498526 |
51 | 6 | 4.16787489209240 | 1.83212510790760 |
52 | 6 | 4.34802118812764 | 1.65197881187237 |
53 | 5 | 5.34723641304169 | -0.347236413041693 |
54 | 4 | 4.16975634505694 | -0.169756345056941 |
55 | 5 | 5.59166543426917 | -0.591665434269169 |
56 | 5 | 5.4257092597877 | -0.425709259787702 |
57 | 4 | 4.95609972277584 | -0.956099722775843 |
58 | 6 | 6.73070744141128 | -0.730707441411277 |
59 | 2 | 4.69126280343019 | -2.69126280343019 |
60 | 8 | 6.28670362828 | 1.71329637172 |
61 | 3 | 3.86798443549108 | -0.867984435491084 |
62 | 6 | 6.37703861048403 | -0.377038610484032 |
63 | 6 | 6.14187741220616 | -0.141877412206162 |
64 | 6 | 6.3374411569663 | -0.337441156966303 |
65 | 5 | 4.02777258270611 | 0.97222741729389 |
66 | 5 | 5.61110313088331 | -0.611103130883309 |
67 | 6 | 5.20785616394485 | 0.792143836055153 |
68 | 5 | 4.68919215929461 | 0.310807840705394 |
69 | 6 | 5.76519716990675 | 0.234802830093248 |
70 | 2 | 2.07374982907046 | -0.0737498290704635 |
71 | 5 | 5.88799137685803 | -0.887991376858033 |
72 | 5 | 5.45700909185986 | -0.457009091859865 |
73 | 5 | 5.10922356029525 | -0.109223560295248 |
74 | 6 | 5.95951518600461 | 0.0404848139953913 |
75 | 6 | 5.23843393572756 | 0.76156606427244 |
76 | 6 | 5.5096280735107 | 0.490371926489297 |
77 | 5 | 5.23915599601701 | -0.239155996017010 |
78 | 5 | 5.38066583929298 | -0.380665839292981 |
79 | 4 | 5.24199844974002 | -1.24199844974002 |
80 | 2 | 3.35949950525095 | -1.35949950525095 |
81 | 4 | 3.76462792515394 | 0.235372074846057 |
82 | 6 | 5.58005144002574 | 0.419948559974264 |
83 | 6 | 6.07357443912469 | -0.0735744391246866 |
84 | 5 | 4.67921147680112 | 0.320788523198882 |
85 | 3 | 4.48247913862032 | -1.48247913862032 |
86 | 6 | 5.03244297534273 | 0.967557024657273 |
87 | 4 | 3.90025446906729 | 0.0997455309327137 |
88 | 5 | 5.48874625631766 | -0.488746256317664 |
89 | 8 | 6.3374411569663 | 1.66255884303370 |
90 | 4 | 4.4530607595127 | -0.453060759512697 |
91 | 6 | 5.76350490811326 | 0.236495091886737 |
92 | 6 | 5.3095204124885 | 0.690479587511501 |
93 | 7 | 6.67239435156886 | 0.327605648431142 |
94 | 6 | 6.11414209414646 | -0.114142094146455 |
95 | 5 | 4.96796185823387 | 0.0320381417661339 |
96 | 4 | 4.182588682019 | -0.182588682019002 |
97 | 6 | 3.85351878677908 | 2.14648121322092 |
98 | 3 | 3.60392852647842 | -0.603928526478421 |
99 | 5 | 5.6252840516915 | -0.625284051691504 |
100 | 6 | 5.25029607118558 | 0.749703928814417 |
101 | 7 | 6.79518855852014 | 0.204811441479861 |
102 | 7 | 6.4213599706893 | 0.578640029310696 |
103 | 6 | 6.72404313171566 | -0.724043131715656 |
104 | 3 | 4.36084432434413 | -1.36084432434413 |
105 | 2 | 2.73579592921564 | -0.735795929215643 |
106 | 8 | 5.72462951488498 | 2.27537048511502 |
107 | 3 | 4.67279530832009 | -1.67279530832009 |
108 | 8 | 6.13260958925656 | 1.86739041074344 |
109 | 3 | 4.56302262950192 | -1.56302262950192 |
110 | 4 | 4.66565707954961 | -0.665657079549607 |
111 | 5 | 5.23201776724653 | -0.232017767246529 |
112 | 7 | 5.58737885996726 | 1.41262114003274 |
113 | 6 | 4.52868195179013 | 1.47131804820987 |
114 | 6 | 5.90645887196813 | 0.093541128031866 |
115 | 7 | 6.10487427119685 | 0.89512572880315 |
116 | 6 | 6.18976328642389 | -0.189763286423890 |
117 | 6 | 6.17032558980975 | -0.17032558980975 |
118 | 6 | 5.07507207375451 | 0.92492792624549 |
119 | 6 | 5.9654940221 | 0.0345059778999965 |
120 | 4 | 5.3795064466179 | -1.37950644661789 |
121 | 4 | 5.19955854249928 | -1.19955854249928 |
122 | 5 | 5.79293248796646 | -0.792932487966459 |
123 | 4 | 4.14487268146581 | -0.144872681465809 |
124 | 6 | 5.79196228646242 | 0.208037713537580 |
125 | 6 | 6.27368210014689 | -0.273682100146891 |
126 | 5 | 4.72709735101885 | 0.272902648981154 |
127 | 8 | 6.46568133089458 | 1.53431866910542 |
128 | 6 | 5.5096280735107 | 0.490371926489297 |
129 | 5 | 5.06418013980053 | -0.0641801398005265 |
130 | 4 | 2.09531711986373 | 1.90468288013627 |
131 | 8 | 6.46568133089458 | 1.53431866910542 |
132 | 6 | 5.68127835618375 | 0.318721643816249 |
133 | 4 | 4.92097803473107 | -0.920978034731066 |
134 | 6 | 5.52621411565627 | 0.473785884343732 |
135 | 6 | 5.91287504044916 | 0.087124959550835 |
136 | 4 | 4.88948901148786 | -0.889489011487857 |
137 | 6 | 5.98493171871414 | 0.0150682812858566 |
138 | 3 | 4.38476698717679 | -1.38476698717679 |
139 | 6 | 6.88364208775964 | -0.883642087759635 |
140 | 5 | 5.59282482694425 | -0.592824826944255 |
141 | 4 | 5.63242228046198 | -1.63242228046198 |
142 | 6 | 5.70804347273942 | 0.291956527260581 |
143 | 4 | 6.31158729187113 | -2.31158729187113 |
144 | 4 | 3.38159966516261 | 0.618400334837386 |
145 | 4 | 4.992845521825 | -0.992845521824998 |
146 | 6 | 4.04508068514112 | 1.95491931485888 |
147 | 5 | 4.31743421559935 | 0.682565784400647 |
148 | 6 | 5.43848264670622 | 0.561517353293779 |
149 | 6 | 6.24238226807473 | -0.242382268074728 |
150 | 8 | 6.11129043967788 | 1.88870956032212 |
151 | 7 | 5.37309027813686 | 1.62690972186314 |
152 | 7 | 6.56903784123172 | 0.430962158768284 |
153 | 4 | 4.29896672048925 | -0.298966720489253 |
154 | 6 | 5.84197775485927 | 0.158022245140727 |
155 | 6 | 5.58621946729218 | 0.413780532707823 |
156 | 2 | 5.26331759931869 | -3.26331759931869 |
Goldfeld-Quandt test for Heteroskedasticity | |||
p-values | Alternative Hypothesis | ||
breakpoint index | greater | 2-sided | less |
8 | 0.456942541526257 | 0.913885083052514 | 0.543057458473743 |
9 | 0.58160814466977 | 0.83678371066046 | 0.41839185533023 |
10 | 0.435631460184382 | 0.871262920368765 | 0.564368539815618 |
11 | 0.570793240841874 | 0.858413518316252 | 0.429206759158126 |
12 | 0.76914389297211 | 0.461712214055780 | 0.230856107027890 |
13 | 0.85026384317645 | 0.299472313647101 | 0.149736156823551 |
14 | 0.787057473314891 | 0.425885053370218 | 0.212942526685109 |
15 | 0.809999083107689 | 0.380001833784622 | 0.190000916892311 |
16 | 0.748401610101418 | 0.503196779797165 | 0.251598389898582 |
17 | 0.786286347979022 | 0.427427304041956 | 0.213713652020978 |
18 | 0.725896576339637 | 0.548206847320727 | 0.274103423660363 |
19 | 0.659845740605459 | 0.680308518789082 | 0.340154259394541 |
20 | 0.617605874472805 | 0.76478825105439 | 0.382394125527195 |
21 | 0.932495193624231 | 0.135009612751538 | 0.067504806375769 |
22 | 0.927716105317819 | 0.144567789364363 | 0.0722838946821814 |
23 | 0.907371162342088 | 0.185257675315824 | 0.0926288376579119 |
24 | 0.878012929800598 | 0.243974140398803 | 0.121987070199402 |
25 | 0.847414292259357 | 0.305171415481285 | 0.152585707740643 |
26 | 0.815041414202185 | 0.369917171595631 | 0.184958585797815 |
27 | 0.835640083313921 | 0.328719833372158 | 0.164359916686079 |
28 | 0.81167697746294 | 0.37664604507412 | 0.18832302253706 |
29 | 0.770575225055105 | 0.45884954988979 | 0.229424774944895 |
30 | 0.77952745862727 | 0.440945082745459 | 0.220472541372730 |
31 | 0.744601123625445 | 0.51079775274911 | 0.255398876374555 |
32 | 0.795286509548177 | 0.409426980903647 | 0.204713490451823 |
33 | 0.79295356161886 | 0.414092876762281 | 0.207046438381140 |
34 | 0.770534108073438 | 0.458931783853124 | 0.229465891926562 |
35 | 0.733280478909927 | 0.533439042180146 | 0.266719521090073 |
36 | 0.690086978123317 | 0.619826043753366 | 0.309913021876683 |
37 | 0.656125895624163 | 0.687748208751674 | 0.343874104375837 |
38 | 0.660392393054405 | 0.67921521389119 | 0.339607606945595 |
39 | 0.619223182081245 | 0.76155363583751 | 0.380776817918755 |
40 | 0.574602346977231 | 0.850795306045537 | 0.425397653022769 |
41 | 0.534529123543423 | 0.930941752913154 | 0.465470876456577 |
42 | 0.571513787993215 | 0.85697242401357 | 0.428486212006785 |
43 | 0.557746460688832 | 0.884507078622336 | 0.442253539311168 |
44 | 0.513529531493348 | 0.972940937013304 | 0.486470468506652 |
45 | 0.576128644643141 | 0.847742710713718 | 0.423871355356859 |
46 | 0.576254130480047 | 0.847491739039906 | 0.423745869519953 |
47 | 0.6035494414739 | 0.7929011170522 | 0.3964505585261 |
48 | 0.583914909648103 | 0.832170180703795 | 0.416085090351897 |
49 | 0.536128505931799 | 0.927742988136402 | 0.463871494068201 |
50 | 0.489927941971274 | 0.979855883942548 | 0.510072058028726 |
51 | 0.572924330168371 | 0.854151339663258 | 0.427075669831629 |
52 | 0.621308721679724 | 0.757382556640551 | 0.378691278320276 |
53 | 0.580345803042144 | 0.839308393915713 | 0.419654196957856 |
54 | 0.543404601116988 | 0.913190797766024 | 0.456595398883012 |
55 | 0.505076658735207 | 0.989846682529586 | 0.494923341264793 |
56 | 0.464307316087952 | 0.928614632175905 | 0.535692683912048 |
57 | 0.461789365255345 | 0.92357873051069 | 0.538210634744655 |
58 | 0.432537690134231 | 0.865075380268463 | 0.567462309865769 |
59 | 0.724677442669572 | 0.550645114660856 | 0.275322557330428 |
60 | 0.793390370237008 | 0.413219259525983 | 0.206609629762992 |
61 | 0.783385182328559 | 0.433229635342882 | 0.216614817671441 |
62 | 0.750599257700745 | 0.498801484598509 | 0.249400742299255 |
63 | 0.712161510645375 | 0.57567697870925 | 0.287838489354625 |
64 | 0.674429055515129 | 0.651141888969743 | 0.325570944484871 |
65 | 0.665333871513326 | 0.669332256973349 | 0.334666128486674 |
66 | 0.634731547549665 | 0.73053690490067 | 0.365268452450335 |
67 | 0.616739001216388 | 0.766521997567224 | 0.383260998783612 |
68 | 0.577280470541103 | 0.845439058917795 | 0.422719529458897 |
69 | 0.534523143568331 | 0.930953712863338 | 0.465476856431669 |
70 | 0.488953197025902 | 0.977906394051805 | 0.511046802974098 |
71 | 0.475126206237542 | 0.950252412475083 | 0.524873793762458 |
72 | 0.436371246774293 | 0.872742493548586 | 0.563628753225707 |
73 | 0.39084736143408 | 0.78169472286816 | 0.60915263856592 |
74 | 0.34762990474239 | 0.69525980948478 | 0.65237009525761 |
75 | 0.327187249902991 | 0.654374499805983 | 0.672812750097008 |
76 | 0.296282266103194 | 0.592564532206388 | 0.703717733896806 |
77 | 0.258458366293145 | 0.516916732586291 | 0.741541633706855 |
78 | 0.226768711649551 | 0.453537423299103 | 0.773231288350449 |
79 | 0.246301688738855 | 0.49260337747771 | 0.753698311261145 |
80 | 0.273223815240399 | 0.546447630480798 | 0.726776184759601 |
81 | 0.237908407841389 | 0.475816815682779 | 0.76209159215861 |
82 | 0.207212544111931 | 0.414425088223863 | 0.792787455888069 |
83 | 0.175449053373234 | 0.350898106746469 | 0.824550946626766 |
84 | 0.149467139277225 | 0.29893427855445 | 0.850532860722775 |
85 | 0.203227193567775 | 0.406454387135551 | 0.796772806432225 |
86 | 0.198117752100360 | 0.396235504200719 | 0.80188224789964 |
87 | 0.167058400859033 | 0.334116801718066 | 0.832941599140967 |
88 | 0.144915474182261 | 0.289830948364522 | 0.855084525817739 |
89 | 0.188284743075860 | 0.376569486151719 | 0.81171525692414 |
90 | 0.164394653576699 | 0.328789307153399 | 0.8356053464233 |
91 | 0.139542431935228 | 0.279084863870456 | 0.860457568064772 |
92 | 0.133134560809571 | 0.266269121619142 | 0.86686543919043 |
93 | 0.112076019107943 | 0.224152038215887 | 0.887923980892056 |
94 | 0.0911844811581383 | 0.182368962316277 | 0.908815518841862 |
95 | 0.0732880572252197 | 0.146576114450439 | 0.92671194277478 |
96 | 0.0595972326385815 | 0.119194465277163 | 0.940402767361418 |
97 | 0.114064863195602 | 0.228129726391204 | 0.885935136804398 |
98 | 0.104649658564899 | 0.209299317129798 | 0.895350341435101 |
99 | 0.0903641436849533 | 0.180728287369907 | 0.909635856315047 |
100 | 0.0787848635920172 | 0.157569727184034 | 0.921215136407983 |
101 | 0.0642226815171045 | 0.128445363034209 | 0.935777318482895 |
102 | 0.0539830161188285 | 0.107966032237657 | 0.946016983881172 |
103 | 0.0448792234169341 | 0.0897584468338682 | 0.955120776583066 |
104 | 0.0624390396941538 | 0.124878079388308 | 0.937560960305846 |
105 | 0.0570680364828296 | 0.114136072965659 | 0.94293196351717 |
106 | 0.113463365461395 | 0.226926730922789 | 0.886536634538605 |
107 | 0.141597999846768 | 0.283195999693536 | 0.858402000153232 |
108 | 0.234402979314345 | 0.468805958628689 | 0.765597020685655 |
109 | 0.262099585600219 | 0.524199171200439 | 0.73790041439978 |
110 | 0.230140180982935 | 0.46028036196587 | 0.769859819017065 |
111 | 0.193406395319838 | 0.386812790639677 | 0.806593604680162 |
112 | 0.277215998298629 | 0.554431996597258 | 0.722784001701371 |
113 | 0.279675445981658 | 0.559350891963315 | 0.720324554018342 |
114 | 0.237544908314449 | 0.475089816628897 | 0.762455091685551 |
115 | 0.224906736563864 | 0.449813473127727 | 0.775093263436136 |
116 | 0.187272895543949 | 0.374545791087898 | 0.812727104456051 |
117 | 0.154669916550935 | 0.30933983310187 | 0.845330083449065 |
118 | 0.145717375151959 | 0.291434750303917 | 0.854282624848041 |
119 | 0.117643857180124 | 0.235287714360247 | 0.882356142819877 |
120 | 0.156235625930721 | 0.312471251861443 | 0.843764374069279 |
121 | 0.171214170395716 | 0.342428340791431 | 0.828785829604284 |
122 | 0.153878187753764 | 0.307756375507528 | 0.846121812246236 |
123 | 0.122333865406632 | 0.244667730813264 | 0.877666134593368 |
124 | 0.096645169493269 | 0.193290338986538 | 0.903354830506731 |
125 | 0.0771292258168415 | 0.154258451633683 | 0.922870774183159 |
126 | 0.0606389121879251 | 0.121277824375850 | 0.939361087812075 |
127 | 0.0845615340492701 | 0.169123068098540 | 0.91543846595073 |
128 | 0.0720864360321491 | 0.144172872064298 | 0.927913563967851 |
129 | 0.0608930660556173 | 0.121786132111235 | 0.939106933944383 |
130 | 0.083855649239921 | 0.167711298479842 | 0.91614435076008 |
131 | 0.118428590644808 | 0.236857181289616 | 0.881571409355192 |
132 | 0.089330679254932 | 0.178661358509864 | 0.910669320745068 |
133 | 0.0716991503697098 | 0.143398300739420 | 0.92830084963029 |
134 | 0.0520255359935979 | 0.104051071987196 | 0.947974464006402 |
135 | 0.0359390360193623 | 0.0718780720387246 | 0.964060963980638 |
136 | 0.041762985975061 | 0.083525971950122 | 0.95823701402494 |
137 | 0.0313787681916426 | 0.0627575363832852 | 0.968621231808357 |
138 | 0.0264089467474253 | 0.0528178934948506 | 0.973591053252575 |
139 | 0.0306369485889353 | 0.0612738971778706 | 0.969363051411065 |
140 | 0.0253797316865256 | 0.0507594633730512 | 0.974620268313474 |
141 | 0.0193201778691544 | 0.0386403557383088 | 0.980679822130846 |
142 | 0.0118689031077122 | 0.0237378062154245 | 0.988131096892288 |
143 | 0.0426730701360779 | 0.0853461402721558 | 0.957326929863922 |
144 | 0.0279665082245043 | 0.0559330164490085 | 0.972033491775496 |
145 | 0.0481484327466246 | 0.0962968654932491 | 0.951851567253375 |
146 | 0.0334312446114262 | 0.0668624892228524 | 0.966568755388574 |
147 | 0.0334611985729549 | 0.0669223971459098 | 0.966538801427045 |
148 | 0.0289184415192506 | 0.0578368830385012 | 0.97108155848075 |
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 | 2 | 0.0141843971631206 | OK |
10% type I error level | 15 | 0.106382978723404 | NOK |