Multiple Linear Regression - Estimated Regression Equation |
Celebrity [t] = + 0.423591992490597 + 0.154094039023444Popularity[t] -0.0194376966141408FindingFriends[t] + 0.103356510337141KnowingPeople[t] + 0.147677870542411Liked[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) | 0.423591992490597 | 0.705713 | 0.6002 | 0.549251 | 0.274625 |
Popularity | 0.154094039023444 | 0.038342 | 4.0189 | 9.2e-05 | 4.6e-05 |
FindingFriends | -0.0194376966141408 | 0.047694 | -0.4076 | 0.68418 | 0.34209 |
KnowingPeople | 0.103356510337141 | 0.030848 | 3.3505 | 0.001019 | 0.00051 |
Liked | 0.147677870542411 | 0.048384 | 3.0522 | 0.002685 | 0.001342 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 0.677446083231663 |
R-squared | 0.458933195685921 |
Adjusted R-squared | 0.444600300207403 |
F-TEST (value) | 32.0195731821072 |
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 | 4.78613250115071 | 0.213867498849285 |
3 | 6 | 6.14374966442513 | -0.143749664425127 |
4 | 6 | 4.59341121011358 | 1.40658878988641 |
5 | 5 | 4.42817709592157 | 0.571822904078432 |
6 | 3 | 4.53509812027116 | -1.53509812027116 |
7 | 8 | 6.7942183570161 | 1.20578164298391 |
8 | 4 | 4.33856417400698 | -0.338564174006983 |
9 | 4 | 5.55394943371597 | -1.55394943371597 |
10 | 4 | 3.95124013896819 | 0.048759861031813 |
11 | 6 | 5.7426322916658 | 0.257367708334203 |
12 | 6 | 4.79443012259628 | 1.20556987740372 |
13 | 5 | 5.79934865644749 | -0.799348656447494 |
14 | 4 | 4.24253508361137 | -0.242535083611366 |
15 | 6 | 4.48980655856185 | 1.51019344143815 |
16 | 4 | 4.85346527272815 | -0.853465272728154 |
17 | 6 | 4.64033608357284 | 1.35966391642716 |
18 | 6 | 6.28028745979897 | -0.280287459798966 |
19 | 4 | 3.80331412721118 | 0.19668587278882 |
20 | 4 | 3.76675751933307 | 0.233242480666927 |
21 | 2 | 4.58699504163255 | -2.58699504163255 |
22 | 7 | 6.18334711794286 | 0.816652882057142 |
23 | 5 | 4.93193811947417 | 0.0680618805258348 |
24 | 4 | 4.38742024972875 | -0.38742024972875 |
25 | 6 | 5.81781615155759 | 0.182183848442409 |
26 | 6 | 6.6410945194967 | -0.641094519496693 |
27 | 7 | 5.36213939413934 | 1.63786060586067 |
28 | 5 | 5.78579425919598 | -0.78579425919598 |
29 | 6 | 5.76635656258184 | 0.23364343741816 |
30 | 4 | 5.5501865277869 | -1.5501865277869 |
31 | 4 | 4.24071258069038 | -0.240712580690383 |
32 | 7 | 5.44514695640184 | 1.55485304359816 |
33 | 7 | 6.00981538230527 | 0.990184617694727 |
34 | 4 | 4.70978924858383 | -0.709789248583834 |
35 | 4 | 4.33856417400698 | -0.338564174006983 |
36 | 6 | 6.54415417764058 | -0.544154177640584 |
37 | 6 | 5.28820126290982 | 0.71179873709018 |
38 | 5 | 3.98442142400488 | 1.01557857599512 |
39 | 6 | 5.57980329881115 | 0.420196701188853 |
40 | 7 | 6.691832048183 | 0.308167951817004 |
41 | 6 | 5.61110313088331 | 0.388896869116691 |
42 | 3 | 4.70130243596722 | -1.70130243596722 |
43 | 3 | 3.50148326760177 | -0.501483267601773 |
44 | 4 | 4.24822919180295 | -0.24822919180295 |
45 | 6 | 4.503798288199 | 1.496201711801 |
46 | 7 | 6.08640677608675 | 0.91359322391325 |
47 | 5 | 6.44721383578448 | -1.44721383578448 |
48 | 4 | 3.32043492085162 | 0.67956507914838 |
49 | 5 | 4.75671412204309 | 0.243285877956912 |
50 | 6 | 6.21011223449852 | -0.210112234498523 |
51 | 6 | 4.1678748920924 | 1.8321251079076 |
52 | 6 | 4.34802118812764 | 1.65197881187236 |
53 | 5 | 5.34723641304169 | -0.347236413041691 |
54 | 4 | 4.16975634505694 | -0.169756345056939 |
55 | 5 | 5.59166543426917 | -0.591665434269168 |
56 | 5 | 5.4257092597877 | -0.425709259787703 |
57 | 4 | 4.95609972277585 | -0.956099722775846 |
58 | 6 | 6.73070744141128 | -0.730707441411277 |
59 | 2 | 4.69126280343018 | -2.69126280343019 |
60 | 8 | 6.28670362828 | 1.71329637172 |
61 | 3 | 3.86798443549108 | -0.867984435491083 |
62 | 6 | 6.37703861048403 | -0.377038610484032 |
63 | 6 | 6.14187741220617 | -0.141877412206167 |
64 | 6 | 6.3374411569663 | -0.337441156966302 |
65 | 5 | 4.02777258270611 | 0.972227417293889 |
66 | 5 | 5.61110313088331 | -0.611103130883309 |
67 | 6 | 5.20785616394485 | 0.792143836055152 |
68 | 5 | 4.68919215929461 | 0.310807840705394 |
69 | 6 | 5.76519716990675 | 0.234802830093247 |
70 | 2 | 2.07374982907047 | -0.0737498290704678 |
71 | 5 | 5.88799137685803 | -0.887991376858035 |
72 | 5 | 5.45700909185986 | -0.457009091859865 |
73 | 5 | 5.10922356029525 | -0.109223560295247 |
74 | 6 | 5.95951518600461 | 0.0404848139953915 |
75 | 6 | 5.23843393572756 | 0.761566064272439 |
76 | 6 | 5.5096280735107 | 0.490371926489297 |
77 | 5 | 5.23915599601701 | -0.23915599601701 |
78 | 5 | 5.38066583929298 | -0.380665839292984 |
79 | 4 | 5.24199844974001 | -1.24199844974001 |
80 | 2 | 3.35949950525094 | -1.35949950525094 |
81 | 4 | 3.76462792515394 | 0.235372074846058 |
82 | 6 | 5.58005144002574 | 0.419948559974258 |
83 | 6 | 6.07357443912468 | -0.0735744391246839 |
84 | 5 | 4.67921147680112 | 0.32078852319888 |
85 | 3 | 4.48247913862032 | -1.48247913862032 |
86 | 6 | 5.03244297534273 | 0.967557024657273 |
87 | 4 | 3.90025446906729 | 0.099745530932711 |
88 | 5 | 5.48874625631767 | -0.488746256317665 |
89 | 8 | 6.3374411569663 | 1.6625588430337 |
90 | 4 | 4.4530607595127 | -0.453060759512697 |
91 | 6 | 5.76350490811326 | 0.23649509188674 |
92 | 6 | 5.3095204124885 | 0.690479587511504 |
93 | 7 | 6.67239435156885 | 0.327605648431145 |
94 | 6 | 6.11414209414646 | -0.114142094146458 |
95 | 5 | 4.96796185823387 | 0.0320381417661324 |
96 | 4 | 4.182588682019 | -0.182588682019004 |
97 | 6 | 3.85351878677908 | 2.14648121322092 |
98 | 3 | 3.60392852647842 | -0.603928526478422 |
99 | 5 | 5.6252840516915 | -0.625284051691504 |
100 | 6 | 5.25029607118558 | 0.749703928814418 |
101 | 7 | 6.79518855852014 | 0.204811441479863 |
102 | 7 | 6.4213599706893 | 0.578640029310698 |
103 | 6 | 6.72404313171565 | -0.72404313171565 |
104 | 3 | 4.36084432434413 | -1.36084432434413 |
105 | 2 | 2.73579592921564 | -0.735795929215645 |
106 | 8 | 5.72462951488498 | 2.27537048511502 |
107 | 3 | 4.67279530832009 | -1.67279530832009 |
108 | 8 | 6.13260958925656 | 1.86739041074345 |
109 | 3 | 4.56302262950191 | -1.56302262950191 |
110 | 4 | 4.66565707954961 | -0.665657079549607 |
111 | 5 | 5.23201776724653 | -0.232017767246529 |
112 | 7 | 5.58737885996727 | 1.41262114003273 |
113 | 6 | 4.52868195179013 | 1.47131804820987 |
114 | 6 | 5.90645887196813 | 0.0935411280318684 |
115 | 7 | 6.10487427119685 | 0.895125728803154 |
116 | 6 | 6.18976328642389 | -0.18976328642389 |
117 | 6 | 6.17032558980975 | -0.170325589809749 |
118 | 6 | 5.0750720737545 | 0.924927926245495 |
119 | 6 | 5.9654940221 | 0.0345059778999974 |
120 | 4 | 5.3795064466179 | -1.3795064466179 |
121 | 4 | 5.19955854249928 | -1.19955854249928 |
122 | 5 | 5.79293248796646 | -0.792932487966462 |
123 | 4 | 4.14487268146581 | -0.144872681465809 |
124 | 6 | 5.79196228646242 | 0.208037713537582 |
125 | 6 | 6.27368210014689 | -0.273682100146891 |
126 | 5 | 4.72709735101884 | 0.272902648981156 |
127 | 8 | 6.46568133089457 | 1.53431866910543 |
128 | 6 | 5.5096280735107 | 0.490371926489297 |
129 | 5 | 5.06418013980053 | -0.0641801398005278 |
130 | 4 | 2.09531711986374 | 1.90468288013626 |
131 | 8 | 6.46568133089457 | 1.53431866910543 |
132 | 6 | 5.68127835618375 | 0.318721643816248 |
133 | 4 | 4.92097803473106 | -0.920978034731061 |
134 | 6 | 5.52621411565626 | 0.473785884343736 |
135 | 6 | 5.91287504044916 | 0.0871249595508358 |
136 | 4 | 4.88948901148786 | -0.889489011487856 |
137 | 6 | 5.98493171871414 | 0.0150682812858566 |
138 | 3 | 4.38476698717679 | -1.38476698717679 |
139 | 6 | 6.88364208775963 | -0.883642087759634 |
140 | 5 | 5.59282482694425 | -0.592824826944255 |
141 | 4 | 5.63242228046199 | -1.63242228046199 |
142 | 6 | 5.70804347273942 | 0.291956527260583 |
143 | 4 | 6.31158729187113 | -2.31158729187113 |
144 | 4 | 3.38159966516262 | 0.618400334837378 |
145 | 4 | 4.992845521825 | -0.992845521824997 |
146 | 6 | 4.04508068514112 | 1.95491931485888 |
147 | 5 | 4.31743421559935 | 0.68256578440065 |
148 | 6 | 5.43848264670622 | 0.561517353293784 |
149 | 6 | 6.24238226807473 | -0.242382268074729 |
150 | 8 | 6.11129043967788 | 1.88870956032212 |
151 | 7 | 5.37309027813686 | 1.62690972186314 |
152 | 7 | 6.56903784123171 | 0.430962158768286 |
153 | 4 | 4.29896672048925 | -0.298966720489253 |
154 | 6 | 5.84197775485927 | 0.158022245140728 |
155 | 6 | 5.58621946729218 | 0.413780532707821 |
156 | 2 | 5.26331759931869 | -3.26331759931869 |
Goldfeld-Quandt test for Heteroskedasticity | |||
p-values | Alternative Hypothesis | ||
breakpoint index | greater | 2-sided | less |
8 | 0.456942541526259 | 0.913885083052518 | 0.543057458473741 |
9 | 0.58160814466977 | 0.83678371066046 | 0.41839185533023 |
10 | 0.435631460184383 | 0.871262920368767 | 0.564368539815617 |
11 | 0.570793240841873 | 0.858413518316253 | 0.429206759158127 |
12 | 0.76914389297211 | 0.461712214055779 | 0.23085610702789 |
13 | 0.850263843176449 | 0.299472313647102 | 0.149736156823551 |
14 | 0.78705747331489 | 0.425885053370219 | 0.21294252668511 |
15 | 0.809999083107689 | 0.380001833784622 | 0.190000916892311 |
16 | 0.748401610101416 | 0.503196779797167 | 0.251598389898584 |
17 | 0.786286347979021 | 0.427427304041958 | 0.213713652020979 |
18 | 0.725896576339636 | 0.548206847320728 | 0.274103423660364 |
19 | 0.659845740605457 | 0.680308518789086 | 0.340154259394543 |
20 | 0.617605874472807 | 0.764788251054386 | 0.382394125527193 |
21 | 0.932495193624232 | 0.135009612751537 | 0.0675048063757683 |
22 | 0.927716105317818 | 0.144567789364363 | 0.0722838946821815 |
23 | 0.907371162342088 | 0.185257675315824 | 0.0926288376579122 |
24 | 0.878012929800599 | 0.243974140398803 | 0.121987070199401 |
25 | 0.847414292259358 | 0.305171415481285 | 0.152585707740642 |
26 | 0.815041414202183 | 0.369917171595633 | 0.184958585797817 |
27 | 0.835640083313922 | 0.328719833372156 | 0.164359916686078 |
28 | 0.811676977462941 | 0.376646045074118 | 0.188323022537059 |
29 | 0.770575225055102 | 0.458849549889796 | 0.229424774944898 |
30 | 0.779527458627272 | 0.440945082745457 | 0.220472541372728 |
31 | 0.744601123625445 | 0.51079775274911 | 0.255398876374555 |
32 | 0.795286509548175 | 0.409426980903649 | 0.204713490451825 |
33 | 0.79295356161886 | 0.414092876762281 | 0.207046438381141 |
34 | 0.77053410807344 | 0.458931783853121 | 0.229465891926561 |
35 | 0.733280478909924 | 0.533439042180152 | 0.266719521090076 |
36 | 0.690086978123318 | 0.619826043753364 | 0.309913021876682 |
37 | 0.656125895624162 | 0.687748208751676 | 0.343874104375838 |
38 | 0.660392393054406 | 0.679215213891188 | 0.339607606945594 |
39 | 0.619223182081248 | 0.761553635837505 | 0.380776817918752 |
40 | 0.574602346977233 | 0.850795306045535 | 0.425397653022767 |
41 | 0.534529123543426 | 0.930941752913147 | 0.465470876456574 |
42 | 0.571513787993217 | 0.856972424013567 | 0.428486212006783 |
43 | 0.557746460688835 | 0.88450707862233 | 0.442253539311165 |
44 | 0.513529531493348 | 0.972940937013303 | 0.486470468506652 |
45 | 0.576128644643143 | 0.847742710713714 | 0.423871355356857 |
46 | 0.576254130480048 | 0.847491739039905 | 0.423745869519952 |
47 | 0.603549441473903 | 0.792901117052194 | 0.396450558526097 |
48 | 0.583914909648102 | 0.832170180703797 | 0.416085090351898 |
49 | 0.536128505931802 | 0.927742988136397 | 0.463871494068198 |
50 | 0.489927941971271 | 0.979855883942542 | 0.510072058028729 |
51 | 0.572924330168376 | 0.854151339663247 | 0.427075669831624 |
52 | 0.621308721679727 | 0.757382556640546 | 0.378691278320273 |
53 | 0.580345803042145 | 0.83930839391571 | 0.419654196957855 |
54 | 0.543404601116988 | 0.913190797766023 | 0.456595398883012 |
55 | 0.505076658735205 | 0.98984668252959 | 0.494923341264795 |
56 | 0.464307316087953 | 0.928614632175907 | 0.535692683912047 |
57 | 0.461789365255341 | 0.923578730510683 | 0.538210634744659 |
58 | 0.432537690134226 | 0.865075380268453 | 0.567462309865774 |
59 | 0.724677442669575 | 0.550645114660849 | 0.275322557330425 |
60 | 0.793390370237009 | 0.413219259525982 | 0.206609629762991 |
61 | 0.783385182328557 | 0.433229635342885 | 0.216614817671443 |
62 | 0.750599257700746 | 0.498801484598509 | 0.249400742299254 |
63 | 0.712161510645378 | 0.575676978709243 | 0.287838489354622 |
64 | 0.674429055515128 | 0.651141888969744 | 0.325570944484872 |
65 | 0.665333871513328 | 0.669332256973344 | 0.334666128486672 |
66 | 0.634731547549665 | 0.73053690490067 | 0.365268452450335 |
67 | 0.616739001216384 | 0.766521997567231 | 0.383260998783616 |
68 | 0.577280470541102 | 0.845439058917795 | 0.422719529458898 |
69 | 0.534523143568329 | 0.930953712863343 | 0.465476856431671 |
70 | 0.488953197025897 | 0.977906394051794 | 0.511046802974103 |
71 | 0.475126206237542 | 0.950252412475085 | 0.524873793762458 |
72 | 0.436371246774293 | 0.872742493548586 | 0.563628753225707 |
73 | 0.390847361434077 | 0.781694722868154 | 0.609152638565923 |
74 | 0.347629904742389 | 0.695259809484777 | 0.652370095257611 |
75 | 0.327187249902987 | 0.654374499805973 | 0.672812750097013 |
76 | 0.296282266103192 | 0.592564532206384 | 0.703717733896808 |
77 | 0.258458366293151 | 0.516916732586302 | 0.741541633706849 |
78 | 0.226768711649548 | 0.453537423299096 | 0.773231288350452 |
79 | 0.246301688738849 | 0.492603377477698 | 0.753698311261151 |
80 | 0.273223815240407 | 0.546447630480813 | 0.726776184759593 |
81 | 0.237908407841391 | 0.475816815682781 | 0.76209159215861 |
82 | 0.20721254411193 | 0.41442508822386 | 0.79278745588807 |
83 | 0.175449053373228 | 0.350898106746456 | 0.824550946626772 |
84 | 0.149467139277227 | 0.298934278554453 | 0.850532860722773 |
85 | 0.203227193567774 | 0.406454387135548 | 0.796772806432226 |
86 | 0.19811775210036 | 0.39623550420072 | 0.80188224789964 |
87 | 0.167058400859031 | 0.334116801718063 | 0.832941599140969 |
88 | 0.14491547418226 | 0.289830948364519 | 0.85508452581774 |
89 | 0.188284743075859 | 0.376569486151718 | 0.81171525692414 |
90 | 0.164394653576699 | 0.328789307153397 | 0.835605346423301 |
91 | 0.13954243193523 | 0.279084863870459 | 0.86045756806477 |
92 | 0.13313456080957 | 0.26626912161914 | 0.86686543919043 |
93 | 0.112076019107942 | 0.224152038215883 | 0.887923980892058 |
94 | 0.0911844811581388 | 0.182368962316278 | 0.908815518841861 |
95 | 0.0732880572252212 | 0.146576114450442 | 0.926711942774779 |
96 | 0.0595972326385806 | 0.119194465277161 | 0.94040276736142 |
97 | 0.114064863195603 | 0.228129726391206 | 0.885935136804397 |
98 | 0.1046496585649 | 0.2092993171298 | 0.8953503414351 |
99 | 0.0903641436849548 | 0.18072828736991 | 0.909635856315045 |
100 | 0.0787848635920181 | 0.157569727184036 | 0.921215136407982 |
101 | 0.0642226815171038 | 0.128445363034208 | 0.935777318482896 |
102 | 0.0539830161188293 | 0.107966032237659 | 0.94601698388117 |
103 | 0.0448792234169343 | 0.0897584468338686 | 0.955120776583066 |
104 | 0.0624390396941522 | 0.124878079388304 | 0.937560960305848 |
105 | 0.0570680364828306 | 0.114136072965661 | 0.94293196351717 |
106 | 0.113463365461395 | 0.22692673092279 | 0.886536634538605 |
107 | 0.141597999846767 | 0.283195999693534 | 0.858402000153233 |
108 | 0.234402979314341 | 0.468805958628682 | 0.765597020685659 |
109 | 0.262099585600218 | 0.524199171200437 | 0.737900414399782 |
110 | 0.230140180982932 | 0.460280361965863 | 0.769859819017068 |
111 | 0.19340639531984 | 0.38681279063968 | 0.80659360468016 |
112 | 0.277215998298628 | 0.554431996597256 | 0.722784001701372 |
113 | 0.279675445981655 | 0.559350891963309 | 0.720324554018345 |
114 | 0.237544908314447 | 0.475089816628893 | 0.762455091685553 |
115 | 0.224906736563862 | 0.449813473127724 | 0.775093263436138 |
116 | 0.187272895543951 | 0.374545791087902 | 0.812727104456049 |
117 | 0.154669916550936 | 0.309339833101872 | 0.845330083449064 |
118 | 0.145717375151958 | 0.291434750303917 | 0.854282624848042 |
119 | 0.117643857180125 | 0.23528771436025 | 0.882356142819875 |
120 | 0.15623562593072 | 0.312471251861441 | 0.84376437406928 |
121 | 0.171214170395715 | 0.34242834079143 | 0.828785829604285 |
122 | 0.153878187753763 | 0.307756375507525 | 0.846121812246237 |
123 | 0.122333865406633 | 0.244667730813267 | 0.877666134593367 |
124 | 0.0966451694932681 | 0.193290338986536 | 0.903354830506732 |
125 | 0.0771292258168414 | 0.154258451633683 | 0.922870774183159 |
126 | 0.060638912187926 | 0.121277824375852 | 0.939361087812074 |
127 | 0.0845615340492695 | 0.169123068098539 | 0.91543846595073 |
128 | 0.0720864360321478 | 0.144172872064296 | 0.927913563967852 |
129 | 0.0608930660556176 | 0.121786132111235 | 0.939106933944382 |
130 | 0.0838556492399191 | 0.167711298479838 | 0.91614435076008 |
131 | 0.118428590644809 | 0.236857181289618 | 0.881571409355191 |
132 | 0.0893306792549315 | 0.178661358509863 | 0.910669320745069 |
133 | 0.0716991503697118 | 0.143398300739424 | 0.928300849630288 |
134 | 0.0520255359935979 | 0.104051071987196 | 0.947974464006402 |
135 | 0.035939036019362 | 0.0718780720387241 | 0.964060963980638 |
136 | 0.0417629859750609 | 0.0835259719501217 | 0.95823701402494 |
137 | 0.0313787681916433 | 0.0627575363832867 | 0.968621231808357 |
138 | 0.0264089467474254 | 0.0528178934948509 | 0.973591053252575 |
139 | 0.0306369485889358 | 0.0612738971778716 | 0.969363051411064 |
140 | 0.0253797316865251 | 0.0507594633730502 | 0.974620268313475 |
141 | 0.0193201778691543 | 0.0386403557383086 | 0.980679822130846 |
142 | 0.0118689031077121 | 0.0237378062154241 | 0.988131096892288 |
143 | 0.0426730701360782 | 0.0853461402721563 | 0.957326929863922 |
144 | 0.0279665082245041 | 0.0559330164490083 | 0.972033491775496 |
145 | 0.0481484327466246 | 0.0962968654932491 | 0.951851567253375 |
146 | 0.0334312446114263 | 0.0668624892228525 | 0.966568755388574 |
147 | 0.0334611985729551 | 0.0669223971459102 | 0.966538801427045 |
148 | 0.0289184415192507 | 0.0578368830385014 | 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 |