Multiple Linear Regression - Estimated Regression Equation |
IHaveManyFriends[t] = + 3.86540692440484 + 0.0137282387328047sum[t] + 0.0117110183160170Popularity[t] + 0.0248224514529821KnowingPeople[t] -0.0377884298430325Liked[t] -0.065730911728197Celebrity[t] -0.265177385683451Gender[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) | 3.86540692440484 | 0.439542 | 8.7942 | 0 | 0 |
sum | 0.0137282387328047 | 0.071351 | 0.1924 | 0.847689 | 0.423845 |
Popularity | 0.0117110183160170 | 0.034649 | 0.338 | 0.735853 | 0.367927 |
KnowingPeople | 0.0248224514529821 | 0.037486 | 0.6622 | 0.50889 | 0.254445 |
Liked | -0.0377884298430325 | 0.040237 | -0.9392 | 0.349182 | 0.174591 |
Celebrity | -0.065730911728197 | 0.070786 | -0.9286 | 0.354617 | 0.177309 |
Gender | -0.265177385683451 | 0.149707 | -1.7713 | 0.078566 | 0.039283 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 0.203330174641508 |
R-squared | 0.0413431599197461 |
Adjusted R-squared | 0.00247869343000606 |
F-TEST (value) | 1.06377788385852 |
F-TEST (DF numerator) | 6 |
F-TEST (DF denominator) | 148 |
p-value | 0.386976896365664 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 0.893084065341476 |
Sum Squared Residuals | 118.044673869495 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
1 | 3 | 2.84316562513334 | 0.156834374866657 |
2 | 3 | 3.02511898013376 | -0.0251189801337584 |
3 | 4 | 3.15750190930327 | 0.842498090696731 |
4 | 3 | 3.26242166569545 | -0.262421665695448 |
5 | 2 | 2.98759342697985 | -0.987593426979854 |
6 | 3 | 2.71819988477117 | 0.281800115228826 |
7 | 4 | 3.28898508164202 | 0.711014918357981 |
8 | 2 | 3.35122736907131 | -1.35122736907131 |
9 | 3 | 3.2501434819624 | -0.250143481962402 |
10 | 4 | 3.21914874001908 | 0.780851259980919 |
11 | 3 | 2.89170771802398 | 0.108292281976020 |
12 | 3 | 3.48363970472623 | -0.48363970472623 |
13 | 4 | 3.32969844699151 | 0.670301553008492 |
14 | 2 | 2.74090124363621 | -0.740901243636214 |
15 | 2 | 3.09687463549657 | -1.09687463549657 |
16 | 3 | 3.14517408539141 | -0.145174085391414 |
17 | 2 | 3.17870493528107 | -1.17870493528107 |
18 | 4 | 3.01180576814872 | 0.98819423185128 |
19 | 2 | 3.20420712378800 | -1.20420712378800 |
20 | 1 | 3.06719803218777 | -2.06719803218777 |
21 | 3 | 3.11282856880596 | -0.112828568805956 |
22 | 4 | 3.18458422416876 | 0.815415775831238 |
23 | 2 | 3.26337902096393 | -1.26337902096393 |
24 | 3 | 2.92496900730216 | 0.0750309926978423 |
25 | 3 | 3.17668771486428 | -0.176687714864279 |
26 | 4 | 2.76365683449360 | 1.23634316550640 |
27 | 3 | 3.05685254142867 | -0.0568525414286655 |
28 | 3 | 3.17919763501235 | -0.179197635012346 |
29 | 4 | 2.99505356065422 | 1.00494643934578 |
30 | 4 | 3.45182847044781 | 0.548171529552189 |
31 | 4 | 3.20291727644993 | 0.797082723550066 |
32 | 3 | 2.87449085499227 | 0.125509145007726 |
33 | 4 | 3.22573604586781 | 0.77426395413219 |
34 | 3 | 3.01271348323839 | -0.0127134832383897 |
35 | 2 | 3.27846609194192 | -1.27846609194192 |
36 | 4 | 2.85342658844967 | 1.14657341155033 |
37 | 3 | 3.35172676411432 | -0.351726764114318 |
38 | 2 | 2.95180867917193 | -0.951808679171928 |
39 | 4 | 3.21349744055648 | 0.786502559443522 |
40 | 4 | 3.2424253219042 | 0.7575746780958 |
41 | 4 | 3.03569246031796 | 0.964307539682044 |
42 | 4 | 3.17079368445119 | 0.829206315548814 |
43 | 2 | 3.21466318202999 | -1.21466318202999 |
44 | 2 | 2.86688526657100 | -0.866885266570997 |
45 | 3 | 3.16232801696500 | -0.162328016965005 |
46 | 4 | 3.29645006562167 | 0.703549934378332 |
47 | 5 | 3.2645098751734 | 1.7354901248266 |
48 | 2 | 2.81912678290554 | -0.819126782905536 |
49 | 3 | 3.12844322677926 | -0.128443226779263 |
50 | 3 | 3.00809584973645 | -0.00809584973645293 |
51 | 2 | 3.24913648651511 | -1.24913648651511 |
52 | 2 | 2.85502209819634 | -0.855022098196342 |
53 | 3 | 2.90060315378333 | 0.0993968462166744 |
54 | 2 | 2.90250432593860 | -0.902504325938604 |
55 | 4 | 3.12148064314147 | 0.878519356858532 |
56 | 3 | 3.33799183006979 | -0.337991830069789 |
57 | 3 | 3.24067766209889 | -0.240677662098888 |
58 | 4 | 3.30986109632886 | 0.690138903671143 |
59 | 1 | 2.69109065228993 | -1.69109065228993 |
60 | 4 | 3.18048748235042 | 0.819512517649584 |
61 | 2 | 3.05107713610150 | -1.05107713610150 |
62 | 4 | 3.03722479150414 | 0.962775208495864 |
63 | 4 | 3.11316911847860 | 0.886830881521404 |
64 | 4 | 3.20182800481622 | 0.798171995183779 |
65 | 2 | 3.26960554344661 | -1.26960554344661 |
66 | 4 | 3.30845383843795 | 0.691546161562049 |
67 | 2 | 2.89266507329246 | -0.89266507329246 |
68 | 4 | 3.02750964472255 | 0.972490355277447 |
69 | 4 | 3.48994939236043 | 0.510050607639567 |
70 | 1 | 3.13179124663654 | -2.13179124663654 |
71 | 4 | 3.31017345404919 | 0.689826545950815 |
72 | 4 | 3.24896298757412 | 0.751037012425881 |
73 | 3 | 2.82951185208635 | 0.170488147913645 |
74 | 3 | 2.96755413832152 | 0.0324458616784802 |
75 | 3 | 3.24382573672515 | -0.243825736725148 |
76 | 3 | 3.32252262684340 | -0.322522626843396 |
77 | 3 | 3.25991174554738 | -0.259911745547381 |
78 | 3 | 3.22308067097283 | -0.223080670972829 |
79 | 4 | 3.26120159288545 | 0.738798407114549 |
80 | 1 | 3.15330726080800 | -2.15330726080800 |
81 | 3 | 3.09213774643536 | -0.0921377464353552 |
82 | 4 | 3.16761072256089 | 0.83238927743911 |
83 | 3 | 3.21090499711961 | -0.210904997119611 |
84 | 3 | 3.31676075989791 | -0.316760759897914 |
85 | 4 | 2.92824118779298 | 1.07175881220702 |
86 | 3 | 3.02567946162844 | -0.0256794616284401 |
87 | 2 | 2.85578435853910 | -0.855784358539096 |
88 | 3 | 3.02025798520799 | -0.0202579852079889 |
89 | 4 | 3.29036414758061 | 0.709635852419388 |
90 | 3 | 2.7756870535999 | 0.224312946400099 |
91 | 4 | 3.12000438895407 | 0.879995611045933 |
92 | 3 | 3.17494675037069 | -0.174946750370691 |
93 | 4 | 3.30378124312618 | 0.696218756873818 |
94 | 4 | 3.24805527248445 | 0.75194472751555 |
95 | 3 | 2.92250066972985 | 0.077499330270149 |
96 | 2 | 2.92130067146565 | -0.92130067146565 |
97 | 1 | 3.32005428927109 | -2.32005428927109 |
98 | 2 | 2.89371824312904 | -0.893718243129044 |
99 | 2 | 2.91589201499877 | -0.915892014998768 |
100 | 3 | 3.19976920182367 | -0.199769201823673 |
101 | 4 | 3.18791272876074 | 0.812087271239258 |
102 | 4 | 3.07567159812939 | 0.924328401870607 |
103 | 3 | 2.92699976610063 | 0.0730002338993726 |
104 | 3 | 3.28929622482925 | -0.289296224829254 |
105 | 1 | 2.68277592032929 | -1.68277592032929 |
106 | 3 | 3.35624051405572 | -0.356240514055724 |
107 | 3 | 3.06020909021472 | -0.0602090902147237 |
108 | 4 | 3.20481723407212 | 0.795182765927881 |
109 | 2 | 3.10129789250089 | -1.10129789250089 |
110 | 2 | 3.15813336846974 | -1.15813336846974 |
111 | 3 | 3.10099344462538 | -0.100993444625378 |
112 | 3 | 2.96752793913388 | 0.0324720608661216 |
113 | 3 | 3.08974708184656 | -0.0897470818465619 |
114 | 4 | 3.05021768750994 | 0.94978231249006 |
115 | 4 | 2.98770399446273 | 1.01229600553727 |
116 | 4 | 3.11240685813584 | 0.887593141864158 |
117 | 4 | 2.95608648142934 | 1.04391351857066 |
118 | 2 | 3.04138333820227 | -1.04138333820227 |
119 | 3 | 3.05830259642842 | -0.0583025964284245 |
120 | 4 | 3.06046527159213 | 0.939534728407873 |
121 | 3 | 3.39558956638139 | -0.395589566381394 |
122 | 4 | 3.05404365418372 | 0.945956345816282 |
123 | 2 | 2.99112162970047 | -0.991121629700468 |
124 | 4 | 3.0510771361015 | 0.948922863898498 |
125 | 4 | 2.71718160219863 | 1.28281839780137 |
126 | 3 | 3.04584269700373 | -0.0458426970037253 |
127 | 4 | 3.12817366616779 | 0.871826333832212 |
128 | 3 | 3.14703915574956 | -0.147039155749563 |
129 | 3 | 3.35710850296545 | -0.357108502965445 |
130 | 1 | 3.18631721901407 | -2.18631721901407 |
131 | 4 | 3.20449143731425 | 0.795508562685747 |
132 | 4 | 3.03728659638393 | 0.962713403616073 |
133 | 2 | 3.24596706300650 | -1.24596706300650 |
134 | 3 | 3.1777972201914 | -0.177797220191398 |
135 | 4 | 2.93371898831459 | 1.06628101168541 |
136 | 3 | 3.22945934351415 | -0.22945934351415 |
137 | 4 | 3.05315059266468 | 0.94684940733532 |
138 | 2 | 3.21167531506542 | -1.21167531506542 |
139 | 5 | 3.3103189087961 | 1.6896810912039 |
140 | 3 | 3.32300863126295 | -0.323008631262951 |
141 | 4 | 2.88919779787591 | 1.11080220212409 |
142 | 3 | 2.91622586935968 | 0.0837741306403156 |
143 | 4 | 3.59559652183133 | 0.404403478168671 |
144 | 2 | 2.99709212995336 | -0.997092129953358 |
145 | 3 | 2.94472270809768 | 0.0552772919023161 |
146 | 3 | 3.02371050770976 | -0.0237105077097607 |
147 | 2 | 2.94302259636237 | -0.943022596362367 |
148 | NA | NA | 1.34684323230002 |
149 | 4 | 3.14016094040700 | 0.859839059592996 |
150 | 4 | 4.11157360873192 | -0.111573608731922 |
151 | 3 | 2.16300105870724 | 0.836998941292765 |
152 | 4 | 5.07865286912638 | -1.07865286912638 |
153 | 2 | 1.11696019788834 | 0.883039802111663 |
154 | 4 | 3.1155879750197 | 0.884412024980298 |
155 | 4 | 4.67049564861749 | -0.670495648617487 |
156 | 3 | NA | NA |
Goldfeld-Quandt test for Heteroskedasticity | |||
p-values | Alternative Hypothesis | ||
breakpoint index | greater | 2-sided | less |
10 | 0.19438666977734 | 0.38877333955468 | 0.80561333022266 |
11 | 0.100310983263191 | 0.200621966526382 | 0.899689016736809 |
12 | 0.117689840670092 | 0.235379681340183 | 0.882310159329908 |
13 | 0.0674101520785916 | 0.134820304157183 | 0.932589847921408 |
14 | 0.122431516636203 | 0.244863033272406 | 0.877568483363797 |
15 | 0.115088904700659 | 0.230177809401319 | 0.88491109529934 |
16 | 0.126277392160798 | 0.252554784321596 | 0.873722607839202 |
17 | 0.168136669146557 | 0.336273338293114 | 0.831863330853443 |
18 | 0.235341986563416 | 0.470683973126833 | 0.764658013436584 |
19 | 0.378931100424672 | 0.757862200849344 | 0.621068899575328 |
20 | 0.350740583061022 | 0.701481166122043 | 0.649259416938978 |
21 | 0.278119257278167 | 0.556238514556334 | 0.721880742721833 |
22 | 0.236225385962252 | 0.472450771924503 | 0.763774614037748 |
23 | 0.217529081980677 | 0.435058163961354 | 0.782470918019323 |
24 | 0.165265398739801 | 0.330530797479602 | 0.834734601260199 |
25 | 0.127336430931609 | 0.254672861863218 | 0.87266356906839 |
26 | 0.111343297477091 | 0.222686594954182 | 0.888656702522909 |
27 | 0.0852698350392569 | 0.170539670078514 | 0.914730164960743 |
28 | 0.0610144173328423 | 0.122028834665685 | 0.938985582667158 |
29 | 0.242577581011113 | 0.485155162022227 | 0.757422418988887 |
30 | 0.208610387890928 | 0.417220775781856 | 0.791389612109072 |
31 | 0.172415156318289 | 0.344830312636578 | 0.827584843681711 |
32 | 0.143027116362098 | 0.286054232724195 | 0.856972883637902 |
33 | 0.207962972511321 | 0.415925945022642 | 0.792037027488679 |
34 | 0.165538041348113 | 0.331076082696226 | 0.834461958651887 |
35 | 0.196979708369477 | 0.393959416738954 | 0.803020291630523 |
36 | 0.219409972388827 | 0.438819944777654 | 0.780590027611173 |
37 | 0.206420006412563 | 0.412840012825127 | 0.793579993587437 |
38 | 0.239346653276238 | 0.478693306552476 | 0.760653346723762 |
39 | 0.225467038807730 | 0.450934077615459 | 0.77453296119227 |
40 | 0.211809344132132 | 0.423618688264263 | 0.788190655867868 |
41 | 0.277742589875089 | 0.555485179750178 | 0.722257410124911 |
42 | 0.310763578385449 | 0.621527156770897 | 0.689236421614551 |
43 | 0.327677616977739 | 0.655355233955477 | 0.672322383022261 |
44 | 0.368646169850586 | 0.737292339701171 | 0.631353830149414 |
45 | 0.323997896443365 | 0.64799579288673 | 0.676002103556635 |
46 | 0.290724250775288 | 0.581448501550576 | 0.709275749224712 |
47 | 0.429558762196919 | 0.859117524393837 | 0.570441237803081 |
48 | 0.41118757141649 | 0.82237514283298 | 0.58881242858351 |
49 | 0.363697023186660 | 0.727394046373321 | 0.63630297681334 |
50 | 0.322052394515229 | 0.644104789030457 | 0.677947605484772 |
51 | 0.388421259290439 | 0.776842518580879 | 0.61157874070956 |
52 | 0.373002169874617 | 0.746004339749234 | 0.626997830125383 |
53 | 0.329342515675676 | 0.658685031351352 | 0.670657484324324 |
54 | 0.317427418217653 | 0.634854836435306 | 0.682572581782347 |
55 | 0.313012738469981 | 0.626025476939963 | 0.686987261530019 |
56 | 0.273500753494923 | 0.547001506989845 | 0.726499246505077 |
57 | 0.234385076570592 | 0.468770153141183 | 0.765614923429408 |
58 | 0.251219632660511 | 0.502439265321022 | 0.748780367339489 |
59 | 0.339418366075157 | 0.678836732150315 | 0.660581633924843 |
60 | 0.346920370032165 | 0.693840740064331 | 0.653079629967835 |
61 | 0.35629847403542 | 0.71259694807084 | 0.64370152596458 |
62 | 0.399791239702411 | 0.799582479404822 | 0.600208760297589 |
63 | 0.416321510598703 | 0.832643021197405 | 0.583678489401297 |
64 | 0.400052412196166 | 0.800104824392332 | 0.599947587803834 |
65 | 0.440857765979384 | 0.881715531958768 | 0.559142234020616 |
66 | 0.416568675566461 | 0.833137351132921 | 0.583431324433539 |
67 | 0.416866358996175 | 0.83373271799235 | 0.583133641003825 |
68 | 0.420552735791621 | 0.841105471583243 | 0.579447264208379 |
69 | 0.388304051022434 | 0.776608102044869 | 0.611695948977566 |
70 | 0.615691776692418 | 0.768616446615163 | 0.384308223307582 |
71 | 0.597335862127659 | 0.805328275744682 | 0.402664137872341 |
72 | 0.586237080961244 | 0.827525838077511 | 0.413762919038756 |
73 | 0.540891639136081 | 0.918216721727837 | 0.459108360863919 |
74 | 0.493675701884291 | 0.987351403768582 | 0.506324298115709 |
75 | 0.449819641400081 | 0.899639282800161 | 0.550180358599919 |
76 | 0.4086063046056 | 0.8172126092112 | 0.5913936953944 |
77 | 0.366427469685794 | 0.732854939371589 | 0.633572530314206 |
78 | 0.325079604977779 | 0.650159209955557 | 0.674920395022221 |
79 | 0.314170910369535 | 0.628341820739071 | 0.685829089630465 |
80 | 0.53476459718757 | 0.93047080562486 | 0.46523540281243 |
81 | 0.488892599268215 | 0.97778519853643 | 0.511107400731785 |
82 | 0.487853187488527 | 0.975706374977054 | 0.512146812511473 |
83 | 0.442840454560461 | 0.885680909120921 | 0.55715954543954 |
84 | 0.400663427682790 | 0.801326855365579 | 0.59933657231721 |
85 | 0.415501816484622 | 0.831003632969245 | 0.584498183515378 |
86 | 0.369397829962347 | 0.738795659924693 | 0.630602170037653 |
87 | 0.368399264336653 | 0.736798528673306 | 0.631600735663347 |
88 | 0.324017154903698 | 0.648034309807395 | 0.675982845096302 |
89 | 0.312498570783434 | 0.624997141566869 | 0.687501429216566 |
90 | 0.274925415905993 | 0.549850831811987 | 0.725074584094007 |
91 | 0.279121485333738 | 0.558242970667476 | 0.720878514666262 |
92 | 0.240759000899899 | 0.481518001799798 | 0.7592409991001 |
93 | 0.227905576487228 | 0.455811152974456 | 0.772094423512772 |
94 | 0.222437467105323 | 0.444874934210647 | 0.777562532894677 |
95 | 0.192391814468449 | 0.384783628936897 | 0.807608185531551 |
96 | 0.196036184120967 | 0.392072368241934 | 0.803963815879033 |
97 | 0.427245642051016 | 0.854491284102032 | 0.572754357948984 |
98 | 0.442858104930995 | 0.885716209861991 | 0.557141895069005 |
99 | 0.45895005873614 | 0.91790011747228 | 0.54104994126386 |
100 | 0.41070979868449 | 0.82141959736898 | 0.58929020131551 |
101 | 0.418113373870701 | 0.836226747741402 | 0.581886626129299 |
102 | 0.424180182100955 | 0.84836036420191 | 0.575819817899045 |
103 | 0.383800464425538 | 0.767600928851077 | 0.616199535574462 |
104 | 0.342026638647447 | 0.684053277294893 | 0.657973361352553 |
105 | 0.539421627283261 | 0.921156745433478 | 0.460578372716739 |
106 | 0.490248311513997 | 0.980496623027994 | 0.509751688486003 |
107 | 0.438629601185585 | 0.87725920237117 | 0.561370398814415 |
108 | 0.433038783496616 | 0.866077566993232 | 0.566961216503384 |
109 | 0.470539267850806 | 0.941078535701612 | 0.529460732149194 |
110 | 0.524093087959794 | 0.95181382408041 | 0.475906912040205 |
111 | 0.474485583888622 | 0.948971167777244 | 0.525514416111378 |
112 | 0.434358512646001 | 0.868717025292002 | 0.565641487353999 |
113 | 0.386663590401783 | 0.773327180803567 | 0.613336409598217 |
114 | 0.39678224302364 | 0.79356448604728 | 0.60321775697636 |
115 | 0.398444683315495 | 0.79688936663099 | 0.601555316684505 |
116 | 0.389751040205413 | 0.779502080410825 | 0.610248959794587 |
117 | 0.386561569326856 | 0.773123138653712 | 0.613438430673144 |
118 | 0.412707843167974 | 0.825415686335949 | 0.587292156832026 |
119 | 0.36862433809713 | 0.73724867619426 | 0.63137566190287 |
120 | 0.347295647677709 | 0.694591295355418 | 0.652704352322291 |
121 | 0.296928828024128 | 0.593857656048257 | 0.703071171975872 |
122 | 0.285065988015971 | 0.570131976031942 | 0.714934011984029 |
123 | 0.327491426305593 | 0.654982852611186 | 0.672508573694407 |
124 | 0.317117892600731 | 0.634235785201462 | 0.682882107399269 |
125 | 0.305266757304878 | 0.610533514609755 | 0.694733242695122 |
126 | 0.251952545083617 | 0.503905090167235 | 0.748047454916383 |
127 | 0.225524159888903 | 0.451048319777805 | 0.774475840111097 |
128 | 0.179974903551005 | 0.35994980710201 | 0.820025096448995 |
129 | 0.177872224842616 | 0.355744449685233 | 0.822127775157384 |
130 | 0.340991198992459 | 0.681982397984918 | 0.659008801007541 |
131 | 0.353037784149528 | 0.706075568299056 | 0.646962215850472 |
132 | 0.383268853505721 | 0.766537707011443 | 0.616731146494279 |
133 | 0.376483645654738 | 0.752967291309476 | 0.623516354345262 |
134 | 0.305589417764359 | 0.611178835528718 | 0.694410582235641 |
135 | 0.29460018198806 | 0.58920036397612 | 0.70539981801194 |
136 | 0.233957266920166 | 0.467914533840333 | 0.766042733079834 |
137 | 0.183765777188006 | 0.367531554376013 | 0.816234222811994 |
138 | 0.227009952935514 | 0.454019905871028 | 0.772990047064486 |
139 | 0.401976659416357 | 0.803953318832715 | 0.598023340583643 |
140 | 0.337483403085208 | 0.674966806170416 | 0.662516596914792 |
141 | 0.28929066408121 | 0.57858132816242 | 0.71070933591879 |
142 | 0.213715362445509 | 0.427430724891017 | 0.786284637554491 |
143 | 0.165177565540786 | 0.330355131081571 | 0.834822434459214 |
144 | 0.207593634490401 | 0.415187268980803 | 0.792406365509599 |
145 | 0.128836089560995 | 0.25767217912199 | 0.871163910439005 |
146 | 0.113712065006030 | 0.227424130012059 | 0.88628793499397 |
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 | 0 | 0 | OK |
10% type I error level | 0 | 0 | OK |