Multiple Linear Regression - Estimated Regression Equation |
Popularity[t] = -0.169377398075146 + 0.102589317274175FindingFriends[t] + 0.21159153924974KnowingPeople[t] + 0.385987342783518Liked[t] + 0.592858387982306Celebrity[t] + 0.310771944822081bestfriend[t] -0.0315515240327832secondbestfriend[t] + 0.410808255088214thirdbestfriend[t] -0.00101395711367119t + 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) | -0.169377398075146 | 1.437657 | -0.1178 | 0.906375 | 0.453188 |
FindingFriends | 0.102589317274175 | 0.097394 | 1.0533 | 0.293912 | 0.146956 |
KnowingPeople | 0.21159153924974 | 0.063836 | 3.3146 | 0.001156 | 0.000578 |
Liked | 0.385987342783518 | 0.098544 | 3.9169 | 0.000137 | 6.8e-05 |
Celebrity | 0.592858387982306 | 0.156043 | 3.7993 | 0.000212 | 0.000106 |
bestfriend | 0.310771944822081 | 0.210102 | 1.4791 | 0.141241 | 0.07062 |
secondbestfriend | -0.0315515240327832 | 0.201592 | -0.1565 | 0.875845 | 0.437922 |
thirdbestfriend | 0.410808255088214 | 0.213829 | 1.9212 | 0.056642 | 0.028321 |
t | -0.00101395711367119 | 0.0038 | -0.2668 | 0.789984 | 0.394992 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 0.719057181214541 |
R-squared | 0.517043229856201 |
Adjusted R-squared | 0.490759868215722 |
F-TEST (value) | 19.6718835637792 |
F-TEST (DF numerator) | 8 |
F-TEST (DF denominator) | 147 |
p-value | 0 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 2.09560846897851 |
Sum Squared Residuals | 645.561503722407 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
1 | 13 | 11.2011823597938 | 1.79881764020622 |
2 | 12 | 11.0452981499049 | 0.95470185009512 |
3 | 15 | 13.1255201867526 | 1.8744798132474 |
4 | 12 | 11.4523619897144 | 0.547638010285647 |
5 | 10 | 10.9675790782695 | -0.967579078269524 |
6 | 12 | 9.35798297371846 | 2.64201702628154 |
7 | 15 | 16.9233186045286 | -1.92331860452855 |
8 | 9 | 10.3091559514227 | -1.30915595142273 |
9 | 12 | 13.0331944748751 | -1.03319447487507 |
10 | 11 | 7.55088780691252 | 3.44911219308748 |
11 | 11 | 13.0265586219269 | -2.02655862192692 |
12 | 11 | 12.1875761865383 | -1.18757618653826 |
13 | 15 | 12.3000544501 | 2.69994554990002 |
14 | 7 | 11.4850864563777 | -4.48508645637774 |
15 | 11 | 11.2762387218532 | -0.276238721853207 |
16 | 11 | 10.824263683279 | 0.175736316721027 |
17 | 10 | 11.840182932115 | -1.84018293211504 |
18 | 14 | 14.8800269098033 | -0.880026909803298 |
19 | 10 | 8.57707226333218 | 1.42292773666782 |
20 | 6 | 9.36085880118832 | -3.36085880118832 |
21 | 11 | 8.79658309595929 | 2.20341690404071 |
22 | 15 | 14.0865673393218 | 0.913432660678201 |
23 | 11 | 11.5922996866639 | -0.592299686663881 |
24 | 12 | 9.75733842542711 | 2.24266157457289 |
25 | 14 | 13.0959762990209 | 0.904023700979074 |
26 | 15 | 14.5419666074503 | 0.458033392549672 |
27 | 9 | 14.324640617036 | -5.32464061703597 |
28 | 13 | 12.5117834708912 | 0.488216529108803 |
29 | 13 | 13.4693928876318 | -0.46939288763184 |
30 | 16 | 11.1892930365787 | 4.81070696342127 |
31 | 13 | 8.76721269848173 | 4.23278730151827 |
32 | 12 | 13.6442235444649 | -1.64422354446487 |
33 | 14 | 14.5888113834338 | -0.588811383433807 |
34 | 11 | 9.63576087230074 | 1.36423912769925 |
35 | 9 | 10.2502275853208 | -1.25022758532082 |
36 | 16 | 14.2134685750697 | 1.78653142493034 |
37 | 12 | 13.1770825340306 | -1.17708253403064 |
38 | 10 | 9.74196472245141 | 0.258035277548587 |
39 | 13 | 13.1784082979938 | -0.178408297993828 |
40 | 16 | 15.2567432636141 | 0.743256736385854 |
41 | 14 | 13.1358629480243 | 0.864137051975728 |
42 | 15 | 8.10450583425464 | 6.89549416574536 |
43 | 5 | 9.73978974131876 | -4.73978974131876 |
44 | 8 | 10.3444599815902 | -2.34445998159017 |
45 | 11 | 11.174464508175 | -0.174464508174981 |
46 | 16 | 14.2493367345363 | 1.7506632654637 |
47 | 17 | 14.2812358042689 | 2.71876419573108 |
48 | 9 | 8.04967394927708 | 0.950326050722925 |
49 | 9 | 11.430647060465 | -2.43064706046503 |
50 | 13 | 14.8509891938677 | -1.85098919386765 |
51 | 10 | 10.9221464975353 | -0.922146497535294 |
52 | 6 | 12.0257900817628 | -6.02579008176281 |
53 | 12 | 11.8836163680353 | 0.116383631964739 |
54 | 8 | 10.468198778245 | -2.46819877824502 |
55 | 14 | 11.8413334915811 | 2.1586665084189 |
56 | 12 | 12.9160178461018 | -0.91601784610176 |
57 | 11 | 11.0601275484179 | -0.0601275484179199 |
58 | 16 | 14.1296830682153 | 1.87031693178467 |
59 | 8 | 10.2383928292055 | -2.23839282920548 |
60 | 15 | 14.6048179994778 | 0.395182000522175 |
61 | 7 | 9.10299861662807 | -2.10299861662807 |
62 | 16 | 13.9037076646049 | 2.09629233539514 |
63 | 14 | 12.8677333222395 | 1.13226667776053 |
64 | 16 | 13.614262110897 | 2.385737889103 |
65 | 9 | 10.2121856856607 | -1.21218568566072 |
66 | 14 | 12.3491345357007 | 1.6508654642993 |
67 | 11 | 13.2573951230746 | -2.2573951230746 |
68 | 13 | 10.3807980983693 | 2.61920190163068 |
69 | 15 | 12.9758843145426 | 2.02411568545744 |
70 | 5 | 5.77945958233165 | -0.77945958233165 |
71 | 15 | 12.9008084893967 | 2.09919151060331 |
72 | 13 | 11.9376242760982 | 1.06237572390176 |
73 | 11 | 13.0238682930913 | -2.0238682930913 |
74 | 11 | 14.110819535713 | -3.11081953571296 |
75 | 12 | 12.2107069292076 | -0.21070692920758 |
76 | 12 | 13.4235212172791 | -1.42352121727913 |
77 | 12 | 12.7770190865451 | -0.777019086545065 |
78 | 12 | 12.0951308777394 | -0.0951308777394299 |
79 | 14 | 11.0711243517755 | 2.92887564822451 |
80 | 6 | 7.99247656702509 | -1.99247656702509 |
81 | 7 | 9.43243479905443 | -2.43243479905443 |
82 | 14 | 12.6142750393132 | 1.38572496068679 |
83 | 14 | 14.0170616260275 | -0.0170616260275435 |
84 | 10 | 10.9742107829684 | -0.974210782968408 |
85 | 13 | 9.37620486261698 | 3.62379513738302 |
86 | 12 | 12.4267242166505 | -0.426724216650503 |
87 | 9 | 9.07415053760301 | -0.0741505376030093 |
88 | 12 | 12.3627451204289 | -0.362745120428882 |
89 | 16 | 15.0854019038419 | 0.914598096158083 |
90 | 10 | 10.8078066150218 | -0.80780661502185 |
91 | 14 | 12.9949186203135 | 1.00508137968648 |
92 | 10 | 13.6535001932538 | -3.65350019325377 |
93 | 16 | 14.9948209090417 | 1.00517909095833 |
94 | 15 | 13.3116465836683 | 1.6883534163317 |
95 | 12 | 11.4764548270804 | 0.523545172919584 |
96 | 10 | 9.27438116284836 | 0.725618837151636 |
97 | 8 | 10.2825541789847 | -2.28255417898472 |
98 | 8 | 8.46372571666893 | -0.463725716668931 |
99 | 11 | 12.5465594378148 | -1.54655943781476 |
100 | 13 | 12.9951798686731 | 0.00482013132694334 |
101 | 16 | 15.8803947220837 | 0.119605277916276 |
102 | 16 | 15.1727996609612 | 0.827200339038769 |
103 | 14 | 15.6752223813861 | -1.67522238138613 |
104 | 11 | 8.98468928228159 | 2.01531071771841 |
105 | 4 | 7.36358683844018 | -3.36358683844018 |
106 | 14 | 14.6813766189435 | -0.6813766189435 |
107 | 9 | 10.5619685912611 | -1.56196859126109 |
108 | 14 | 15.2461767338991 | -1.24617673389912 |
109 | 8 | 10.0127562806572 | -2.01275628065723 |
110 | 8 | 10.4712285632371 | -2.47122856323712 |
111 | 11 | 11.9619516897488 | -0.961951689748845 |
112 | 12 | 13.1902631490171 | -1.19026314901714 |
113 | 11 | 11.0032438141979 | -0.00324381419786265 |
114 | 14 | 13.0122022541169 | 0.987797745883118 |
115 | 15 | 14.3999863781635 | 0.600013621836543 |
116 | 16 | 13.3547331087257 | 2.64526689127425 |
117 | 16 | 12.8663161032749 | 3.13368389672513 |
118 | 11 | 12.6469480170191 | -1.6469480170191 |
119 | 14 | 13.3604818872544 | 0.639518112745647 |
120 | 14 | 11.0013542642727 | 2.99864573572728 |
121 | 12 | 11.5574017534501 | 0.442598246549908 |
122 | 14 | 13.0494317706471 | 0.950568229352877 |
123 | 8 | 10.8112792924713 | -2.81127929247127 |
124 | 13 | 14.2742361909688 | -1.27423619096882 |
125 | 16 | 14.5129563854358 | 1.48704361456417 |
126 | 12 | 10.5715997872716 | 1.42840021272839 |
127 | 16 | 15.8462201384022 | 0.153779861597814 |
128 | 12 | 12.6807667714907 | -0.680766771490713 |
129 | 11 | 11.2837872246222 | -0.28378722462215 |
130 | 4 | 5.70445487390274 | -1.70445487390274 |
131 | 16 | 16.089833206704 | -0.0898332067040153 |
132 | 15 | 13.0717354630111 | 1.92826453698886 |
133 | 10 | 11.1352499395273 | -1.13524993952734 |
134 | 13 | 14.2830108469382 | -1.28301084693823 |
135 | 15 | 12.5733702879135 | 2.42662971208651 |
136 | 12 | 10.1858375790855 | 1.81416242091449 |
137 | 14 | 12.8603846108787 | 1.13961538912133 |
138 | 7 | 10.3936535599462 | -3.39365355994617 |
139 | 19 | 13.7208083495967 | 5.27919165040334 |
140 | 12 | 13.0457586878294 | -1.04575868782937 |
141 | 12 | 11.901642719846 | 0.0983572801539799 |
142 | 13 | 13.2202239064885 | -0.220223906488525 |
143 | 15 | 12.4262111279218 | 2.57378887207815 |
144 | 8 | 8.92538782721349 | -0.925387827213494 |
145 | 12 | 11.1414352282553 | 0.858564771744713 |
146 | 10 | 10.4060464049389 | -0.406046404938886 |
147 | 8 | 11.2842617112061 | -3.28426171120607 |
148 | 10 | 14.2986711081854 | -4.29867110818545 |
149 | 15 | 14.1868153815951 | 0.813184618404924 |
150 | 16 | 13.9813765587724 | 2.01862344122763 |
151 | 13 | 13.2029688867127 | -0.202968886712699 |
152 | 16 | 14.9972445827068 | 1.00275541729316 |
153 | 9 | 9.71157517212819 | -0.711575172128189 |
154 | 14 | 13.308005519715 | 0.691994480284978 |
155 | 14 | 13.364830605902 | 0.635169394098035 |
156 | 12 | 9.99719470967838 | 2.00280529032162 |
Goldfeld-Quandt test for Heteroskedasticity | |||
p-values | Alternative Hypothesis | ||
breakpoint index | greater | 2-sided | less |
12 | 0.255941038972577 | 0.511882077945154 | 0.744058961027423 |
13 | 0.729289371490825 | 0.54142125701835 | 0.270710628509175 |
14 | 0.839111541962977 | 0.321776916074046 | 0.160888458037023 |
15 | 0.815923365322936 | 0.368153269354129 | 0.184076634677064 |
16 | 0.732236318971166 | 0.535527362057668 | 0.267763681028834 |
17 | 0.642145423062304 | 0.715709153875392 | 0.357854576937696 |
18 | 0.582095703251568 | 0.835808593496863 | 0.417904296748432 |
19 | 0.524876146547809 | 0.950247706904382 | 0.475123853452191 |
20 | 0.632341804272273 | 0.735316391455454 | 0.367658195727727 |
21 | 0.627970381680492 | 0.744059236639016 | 0.372029618319508 |
22 | 0.688411998080012 | 0.623176003839976 | 0.311588001919988 |
23 | 0.623581814453139 | 0.752836371093723 | 0.376418185546861 |
24 | 0.653068050400297 | 0.693863899199407 | 0.346931949599703 |
25 | 0.63062202743176 | 0.73875594513648 | 0.36937797256824 |
26 | 0.57107651165869 | 0.857846976682621 | 0.42892348834131 |
27 | 0.76900739273307 | 0.461985214533859 | 0.23099260726693 |
28 | 0.731701655973115 | 0.53659668805377 | 0.268298344026885 |
29 | 0.67479976758336 | 0.650400464833281 | 0.32520023241664 |
30 | 0.787467107325535 | 0.42506578534893 | 0.212532892674465 |
31 | 0.8345826204003 | 0.330834759199401 | 0.1654173795997 |
32 | 0.801978104688152 | 0.396043790623696 | 0.198021895311848 |
33 | 0.756782409630497 | 0.486435180739006 | 0.243217590369503 |
34 | 0.722157482844565 | 0.55568503431087 | 0.277842517155435 |
35 | 0.70402819131339 | 0.59194361737322 | 0.29597180868661 |
36 | 0.726118977589145 | 0.54776204482171 | 0.273881022410855 |
37 | 0.710015127829317 | 0.579969744341365 | 0.289984872170683 |
38 | 0.664248597427878 | 0.671502805144244 | 0.335751402572122 |
39 | 0.613134379218002 | 0.773731241563997 | 0.386865620781998 |
40 | 0.568509742463452 | 0.862980515073096 | 0.431490257536548 |
41 | 0.517508418115469 | 0.964983163769062 | 0.482491581884531 |
42 | 0.804006214802431 | 0.391987570395137 | 0.195993785197569 |
43 | 0.962659126517561 | 0.0746817469648774 | 0.0373408734824387 |
44 | 0.965335212468001 | 0.0693295750639975 | 0.0346647875319988 |
45 | 0.954785599236136 | 0.0904288015277284 | 0.0452144007638642 |
46 | 0.959382594034956 | 0.0812348119300885 | 0.0406174059650442 |
47 | 0.960906102842906 | 0.0781877943141885 | 0.0390938971570942 |
48 | 0.952857091909736 | 0.0942858161805273 | 0.0471429080902637 |
49 | 0.952157558408942 | 0.0956848831821167 | 0.0478424415910583 |
50 | 0.945555059222645 | 0.108889881554711 | 0.0544449407773553 |
51 | 0.936744296556645 | 0.126511406886711 | 0.0632557034433554 |
52 | 0.988160511483414 | 0.0236789770331714 | 0.0118394885165857 |
53 | 0.984443320989872 | 0.0311133580202555 | 0.0155566790101277 |
54 | 0.988216907610136 | 0.0235661847797285 | 0.0117830923898642 |
55 | 0.992120643242022 | 0.0157587135159551 | 0.00787935675797757 |
56 | 0.989577727961117 | 0.0208445440777669 | 0.0104222720388835 |
57 | 0.985820971836048 | 0.0283580563279047 | 0.0141790281639524 |
58 | 0.985870952749158 | 0.028258094501683 | 0.0141290472508415 |
59 | 0.98866784767531 | 0.0226643046493791 | 0.0113321523246895 |
60 | 0.987571762870166 | 0.0248564742596673 | 0.0124282371298336 |
61 | 0.987334481635331 | 0.0253310367293385 | 0.0126655183646692 |
62 | 0.989738517377488 | 0.0205229652450236 | 0.0102614826225118 |
63 | 0.988960912071718 | 0.0220781758565649 | 0.0110390879282824 |
64 | 0.990361768641317 | 0.0192764627173664 | 0.00963823135868319 |
65 | 0.988602057946516 | 0.0227958841069684 | 0.0113979420534842 |
66 | 0.98747752361225 | 0.025044952775499 | 0.0125224763877495 |
67 | 0.988543964153937 | 0.0229120716921261 | 0.0114560358460631 |
68 | 0.990627871938593 | 0.0187442561228149 | 0.00937212806140745 |
69 | 0.99076887482584 | 0.0184622503483203 | 0.00923112517416016 |
70 | 0.98778301140269 | 0.0244339771946197 | 0.0122169885973098 |
71 | 0.988646956436299 | 0.0227060871274014 | 0.0113530435637007 |
72 | 0.986189345498813 | 0.0276213090023745 | 0.0138106545011872 |
73 | 0.985830607083987 | 0.0283387858320262 | 0.0141693929160131 |
74 | 0.989679705217166 | 0.0206405895656672 | 0.0103202947828336 |
75 | 0.986152245001572 | 0.0276955099968564 | 0.0138477549984282 |
76 | 0.983307713923283 | 0.0333845721534337 | 0.0166922860767169 |
77 | 0.978180305368642 | 0.0436393892627151 | 0.0218196946313575 |
78 | 0.971519884796729 | 0.0569602304065415 | 0.0284801152032707 |
79 | 0.979519649061868 | 0.0409607018762645 | 0.0204803509381323 |
80 | 0.978089508015833 | 0.0438209839683338 | 0.0219104919841669 |
81 | 0.978699733363137 | 0.0426005332737269 | 0.0213002666368635 |
82 | 0.976869162669526 | 0.0462616746609488 | 0.0231308373304744 |
83 | 0.969418147049775 | 0.0611637059004505 | 0.0305818529502253 |
84 | 0.961342319766192 | 0.077315360467616 | 0.038657680233808 |
85 | 0.984800862485245 | 0.0303982750295107 | 0.0151991375147553 |
86 | 0.979644417231977 | 0.0407111655360451 | 0.0203555827680225 |
87 | 0.973335566800681 | 0.0533288663986383 | 0.0266644331993191 |
88 | 0.965583907428077 | 0.0688321851438452 | 0.0344160925719226 |
89 | 0.957938682357882 | 0.0841226352842354 | 0.0420613176421177 |
90 | 0.947111765448591 | 0.105776469102818 | 0.052888234551409 |
91 | 0.940107313714577 | 0.119785372570846 | 0.059892686285423 |
92 | 0.962034040594246 | 0.0759319188115077 | 0.0379659594057538 |
93 | 0.953663889607267 | 0.0926722207854662 | 0.0463361103927331 |
94 | 0.951445015683276 | 0.0971099686334486 | 0.0485549843167243 |
95 | 0.941324140422434 | 0.117351719155133 | 0.0586758595775663 |
96 | 0.930281375891156 | 0.139437248217688 | 0.069718624108844 |
97 | 0.9245492302109 | 0.150901539578201 | 0.0754507697891004 |
98 | 0.908467672183731 | 0.183064655632538 | 0.091532327816269 |
99 | 0.895460758957982 | 0.209078482084037 | 0.104539241042018 |
100 | 0.872167699002563 | 0.255664601994873 | 0.127832300997437 |
101 | 0.843905633939645 | 0.312188732120709 | 0.156094366060355 |
102 | 0.819202564432502 | 0.361594871134996 | 0.180797435567498 |
103 | 0.831655040639715 | 0.33668991872057 | 0.168344959360285 |
104 | 0.88289637034904 | 0.23420725930192 | 0.11710362965096 |
105 | 0.883068848256676 | 0.233862303486647 | 0.116931151743324 |
106 | 0.854801784524947 | 0.290396430950107 | 0.145198215475053 |
107 | 0.827098514945447 | 0.345802970109106 | 0.172901485054553 |
108 | 0.815400320411516 | 0.369199359176969 | 0.184599679588484 |
109 | 0.800343033540562 | 0.399313932918876 | 0.199656966459438 |
110 | 0.820445414603272 | 0.359109170793455 | 0.179554585396728 |
111 | 0.807183418623621 | 0.385633162752758 | 0.192816581376379 |
112 | 0.865716805146128 | 0.268566389707743 | 0.134283194853872 |
113 | 0.833108329470648 | 0.333783341058704 | 0.166891670529352 |
114 | 0.804118557747637 | 0.391762884504726 | 0.195881442252363 |
115 | 0.763790362738263 | 0.472419274523475 | 0.236209637261737 |
116 | 0.769047804967723 | 0.461904390064554 | 0.230952195032277 |
117 | 0.77851180316221 | 0.442976393675579 | 0.22148819683779 |
118 | 0.762673968494067 | 0.474652063011866 | 0.237326031505933 |
119 | 0.715916855181941 | 0.568166289636117 | 0.284083144818059 |
120 | 0.804124223541418 | 0.391751552917164 | 0.195875776458582 |
121 | 0.776813575968374 | 0.446372848063251 | 0.223186424031626 |
122 | 0.728100733794699 | 0.543798532410602 | 0.271899266205301 |
123 | 0.717680177846109 | 0.564639644307783 | 0.282319822153891 |
124 | 0.678815737758435 | 0.64236852448313 | 0.321184262241565 |
125 | 0.66090983916514 | 0.67818032166972 | 0.33909016083486 |
126 | 0.66235482767269 | 0.67529034465462 | 0.33764517232731 |
127 | 0.599234469485657 | 0.801531061028687 | 0.400765530514343 |
128 | 0.560604977043014 | 0.878790045913972 | 0.439395022956986 |
129 | 0.540954511603392 | 0.918090976793216 | 0.459045488396608 |
130 | 0.526075216323586 | 0.947849567352829 | 0.473924783676414 |
131 | 0.454611121610219 | 0.909222243220438 | 0.545388878389781 |
132 | 0.434156568080415 | 0.86831313616083 | 0.565843431919585 |
133 | 0.388732317094336 | 0.777464634188672 | 0.611267682905664 |
134 | 0.343853105717057 | 0.687706211434115 | 0.656146894282942 |
135 | 0.297171421023216 | 0.594342842046433 | 0.702828578976784 |
136 | 0.279193685767173 | 0.558387371534346 | 0.720806314232827 |
137 | 0.242138587485502 | 0.484277174971003 | 0.757861412514498 |
138 | 0.263657549303763 | 0.527315098607527 | 0.736342450696237 |
139 | 0.711925961732664 | 0.576148076534671 | 0.288074038267336 |
140 | 0.636284631493004 | 0.727430737013992 | 0.363715368506996 |
141 | 0.525946308956065 | 0.94810738208787 | 0.474053691043935 |
142 | 0.537700090833177 | 0.924599818333646 | 0.462299909166823 |
143 | 0.420667488223827 | 0.841334976447655 | 0.579332511776173 |
144 | 0.274259617226197 | 0.548519234452394 | 0.725740382773803 |
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 | 32 | 0.240601503759398 | NOK |
10% type I error level | 48 | 0.360902255639098 | NOK |