Multiple Linear Regression - Estimated Regression Equation |
aantalVrienden[t] = + 1.23901678587798 + 0.096316083193947Popularity[t] -0.0640953209811908FindingFriends[t] + 0.128730344656522KnowingPeople[t] -0.0742946234905384Liked[t] + 0.0388673886095463`Celebrity `[t] -0.000136327489515619t + 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) | 1.23901678587798 | 0.956507 | 1.2954 | 0.197201 | 0.0986 |
Popularity | 0.096316083193947 | 0.054592 | 1.7643 | 0.079733 | 0.039867 |
FindingFriends | -0.0640953209811908 | 0.064855 | -0.9883 | 0.324617 | 0.162309 |
KnowingPeople | 0.128730344656522 | 0.043287 | 2.9739 | 0.003431 | 0.001715 |
Liked | -0.0742946234905384 | 0.068054 | -1.0917 | 0.27673 | 0.138365 |
`Celebrity ` | 0.0388673886095463 | 0.11014 | 0.3529 | 0.724668 | 0.362334 |
t | -0.000136327489515619 | 0.002557 | -0.0533 | 0.957552 | 0.478776 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 0.404585261523168 |
R-squared | 0.163689233841770 |
Adjusted R-squared | 0.130012290238083 |
F-TEST (value) | 4.86057273391784 |
F-TEST (DF numerator) | 6 |
F-TEST (DF denominator) | 149 |
p-value | 0.000145740995116217 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 1.41229152671296 |
Sum Squared Residuals | 297.190536107357 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
1 | 2 | 2.61074725279726 | -0.610747252797261 |
2 | 1 | 1.88374287237492 | -0.883742872374924 |
3 | 0 | 2.63165033319365 | -2.63165033319365 |
4 | 3 | 2.06018784778303 | 0.93981215221697 |
5 | 3 | 2.22494230177499 | 0.775057698225014 |
6 | 1 | 1.75102706403179 | -0.75102706403179 |
7 | 3 | 2.88288596915612 | 0.117114030843881 |
8 | 1 | 2.08988955019709 | -1.08988955019709 |
9 | 4 | 2.54200863578736 | 1.45799136421264 |
10 | 0 | 2.17175851119156 | -2.17175851119156 |
11 | 3 | 3.22928261101486 | -0.229282611014856 |
12 | 2 | 2.28541656035547 | -0.285416560355473 |
13 | 4 | 3.41371884478654 | 0.586281155213463 |
14 | 3 | 1.8226844980757 | 1.1773155019243 |
15 | 1 | 1.56760093380792 | -0.567600933807919 |
16 | 1 | 2.5388917859819 | -1.5388917859819 |
17 | 2 | 2.18841883971395 | -0.188418839713948 |
18 | 3 | 2.85538505064534 | 0.144614949354656 |
19 | 1 | 1.88246922034254 | -0.882469220342543 |
20 | 1 | 1.86232128633397 | -0.862321286333969 |
21 | 2 | 1.73179001933859 | 0.268209980661405 |
22 | 3 | 2.93558749132479 | 0.0644125086752079 |
23 | 4 | 2.97265551594961 | 1.02734448405039 |
24 | 2 | 1.86173518132059 | 0.138264818679408 |
25 | 1 | 3.01321930770916 | -2.01321930770916 |
26 | 2 | 3.20807120323621 | -1.20807120323621 |
27 | 2 | 2.48573969937005 | -0.485739699370053 |
28 | 4 | 2.93098316921482 | 1.06901683078518 |
29 | 2 | 2.90561890935366 | -0.905618909353662 |
30 | 3 | 2.15202802334419 | 0.847971976655807 |
31 | 3 | 2.43690182917845 | 0.563098170821552 |
32 | 3 | 2.85796053481006 | 0.142039465189938 |
33 | 4 | 2.77367648476498 | 1.22632351523502 |
34 | 2 | 2.00057820483170 | -0.000578204831696509 |
35 | 2 | 2.08620870798017 | -0.086208707980165 |
36 | 4 | 3.24858829036902 | 0.751411709630982 |
37 | 3 | 2.02671024118339 | 0.973289758816608 |
38 | 4 | 2.30385801523258 | 1.69614198476742 |
39 | 2 | 2.85035961598666 | -0.850359615986663 |
40 | 5 | 3.21261574552996 | 1.78738425447004 |
41 | 3 | 2.75357737856387 | 0.246422621436134 |
42 | 1 | 2.04418742111214 | -1.04418742111214 |
43 | 1 | 1.00821474627503 | -0.00821474627502965 |
44 | 1 | 1.84973603021471 | -0.849736030214708 |
45 | 2 | 1.95882204021308 | 0.0411779597869168 |
46 | 3 | 2.97419599360438 | 0.0258040063956189 |
47 | 9 | 3.25010166140276 | 5.74989833859724 |
48 | 0 | 1.47138263486190 | -1.47138263486190 |
49 | 0 | 2.16740393039313 | -2.16740393039313 |
50 | 2 | 2.81934151146223 | -0.819341511462228 |
51 | 2 | 1.33710701364075 | 0.662892986359252 |
52 | 3 | 2.57988500986531 | 0.42011499013469 |
53 | 1 | 2.31741692554518 | -1.31741692554518 |
54 | 2 | 1.45252212153478 | 0.547477878465221 |
55 | 0 | 2.64870608411991 | -2.64870608411991 |
56 | 5 | 2.71285857686140 | 2.28714142313860 |
57 | 2 | 2.52256335370827 | -0.522563353708271 |
58 | 4 | 3.29948510407152 | 0.700514895928483 |
59 | 3 | 1.54707247018127 | 1.45292752981873 |
60 | 0 | 3.09800477998927 | -3.09800477998927 |
61 | 0 | 1.39067898079522 | -1.39067898079522 |
62 | 4 | 3.25524307815096 | 0.744756921849041 |
63 | 1 | 3.78954082816776 | -2.78954082816776 |
64 | 1 | 2.98731043134954 | -1.98731043134954 |
65 | 4 | 1.59532588807467 | 2.40467411192533 |
66 | 2 | 2.71130180271643 | -0.71130180271643 |
67 | 4 | 2.7928399270582 | 1.2071600729418 |
68 | 1 | 1.91662562009486 | -0.91662562009486 |
69 | 4 | 2.84607629205138 | 1.15392370794862 |
70 | 2 | 1.03490282223743 | 0.965097177762566 |
71 | 5 | 2.99976191410051 | 2.00023808589949 |
72 | 4 | 2.61416775458539 | 1.38583224541461 |
73 | 4 | 2.15373926888559 | 1.84626073111441 |
74 | 4 | 2.67625409840952 | 1.32374590159048 |
75 | 4 | 2.5557703748383 | 1.4442296251617 |
76 | 3 | 2.81363443935597 | 0.186365560644032 |
77 | 3 | 2.65609968110973 | 0.343900318890267 |
78 | 3 | 2.77341499037911 | 0.226585009620889 |
79 | 2 | 1.95271580997003 | 0.0472841900299665 |
80 | 1 | 1.06973922086842 | -0.06973922086842 |
81 | 1 | 1.29808947495793 | -0.298089474957927 |
82 | 5 | 3.20685450087141 | 1.79314549912859 |
83 | 4 | 2.58906307451379 | 1.41093692548621 |
84 | 2 | 2.26860815126924 | -0.268608151269236 |
85 | 3 | 1.57911258624096 | 1.42088741375904 |
86 | 2 | 2.43627943300059 | -0.436279433000595 |
87 | 2 | 1.83131858902752 | 0.168681410972483 |
88 | 2 | 2.43009710017103 | -0.430097100171026 |
89 | 2 | 3.06163702133074 | -1.06163702133074 |
90 | 3 | 1.90736678742836 | 1.09263321257164 |
91 | 2 | 2.20178142062810 | -0.201781420628096 |
92 | 3 | 2.27686641782290 | 0.723133582177105 |
93 | 4 | 3.14129506760444 | 0.858704932395556 |
94 | 3 | 3.35704978074543 | -0.357049780745432 |
95 | 3 | 2.39564539429127 | 0.604354605708732 |
96 | 0 | 1.78801778034409 | -1.78801778034409 |
97 | 1 | 1.32995004298457 | -0.329950042984568 |
98 | 2 | 1.43771452822045 | 0.562285471779551 |
99 | 2 | 2.65437712758078 | -0.654377127580781 |
100 | 3 | 2.39175728417545 | 0.608242715824546 |
101 | 4 | 3.33303011332603 | 0.666969886673968 |
102 | 4 | 3.08563239903282 | 0.91436760096718 |
103 | 1 | 2.76038269342491 | -1.76038269342491 |
104 | 2 | 1.43778621602411 | 0.56221378397589 |
105 | 2 | 0.818723443382512 | 1.18127655661749 |
106 | 3 | 2.14928064354207 | 0.850719356457928 |
107 | 3 | 2.0171271351068 | 0.9828728648932 |
108 | 3 | 2.99514497729857 | 0.00485502270143044 |
109 | 1 | 1.71751342878676 | -0.717513428786761 |
110 | 1 | 1.74550548470330 | -0.745505484703304 |
111 | 1 | 2.34138448992171 | -1.34138448992171 |
112 | 1 | 3.10397532226772 | -2.10397532226772 |
113 | 0 | 1.68243148179777 | -1.68243148179777 |
114 | 1 | 2.59503622484815 | -1.59503622484815 |
115 | 3 | 2.52705840101507 | 0.472941598984933 |
116 | 3 | 3.05451602538526 | -0.0545160253852632 |
117 | 0 | 2.99028437691456 | -2.99028437691456 |
118 | 2 | 1.5875963185351 | 0.412403681464901 |
119 | 5 | 2.92610990020415 | 2.07389009979585 |
120 | 2 | 2.67473232948825 | -0.674732329488247 |
121 | 3 | 2.34357389113911 | 0.656426108860892 |
122 | 3 | 3.22824844174485 | -0.228248441744849 |
123 | 5 | 1.71023581388645 | 3.28976418611355 |
124 | 4 | 2.76501685858144 | 1.23498314141856 |
125 | 4 | 3.11792410165495 | 0.882075898345046 |
126 | 0 | 1.53508295087141 | -1.53508295087141 |
127 | 3 | 2.91806663225742 | 0.0819333677425837 |
128 | 0 | 2.80654540990116 | -2.80654540990116 |
129 | 2 | 2.20966054775976 | -0.209660547759764 |
130 | 0 | 1.72446910558237 | -1.72446910558237 |
131 | 6 | 2.91752132229935 | 3.08247867770065 |
132 | 3 | 2.77285263653656 | 0.227147363463439 |
133 | 1 | 1.41150054577932 | -0.411500545779325 |
134 | 6 | 2.17443758156966 | 3.82556241843034 |
135 | 2 | 2.76278405425281 | -0.762784054252807 |
136 | 1 | 1.95533794482681 | -0.95533794482681 |
137 | 3 | 2.98775132637406 | 0.0122486736259375 |
138 | 1 | 2.02383348738512 | -1.02383348738512 |
139 | 2 | 3.33066914289304 | -1.33066914289304 |
140 | 4 | 2.69120776523274 | 1.30879223476726 |
141 | 1 | 2.91986404095607 | -1.91986404095607 |
142 | 2 | 2.69792794009483 | -0.697927940094825 |
143 | 0 | 2.66409975479303 | -2.66409975479303 |
144 | 5 | 2.34596634318757 | 2.65403365681243 |
145 | 2 | 2.08284134207769 | -0.0828413420776901 |
146 | 1 | 1.13133023649905 | -0.131330236499052 |
147 | 1 | 1.40441643012883 | -0.404416430128835 |
148 | 4 | 2.2703114837983 | 1.7296885162017 |
149 | 3 | 3.21116182435034 | -0.211161824350344 |
150 | 0 | 2.73176503417605 | -2.73176503417605 |
151 | 3 | 2.61649763645742 | 0.383502363542584 |
152 | 3 | 3.0045214010665 | -0.00452140106650126 |
153 | 0 | 1.80246207239493 | -1.80246207239493 |
154 | 2 | 2.58904342257338 | -0.589043422573384 |
155 | 5 | 3.00515633388734 | 1.99484366611266 |
156 | 2 | 2.1221380046211 | -0.122138004621100 |
Goldfeld-Quandt test for Heteroskedasticity | |||
p-values | Alternative Hypothesis | ||
breakpoint index | greater | 2-sided | less |
10 | 0.868498361736535 | 0.263003276526930 | 0.131501638263465 |
11 | 0.776573187216813 | 0.446853625566374 | 0.223426812783187 |
12 | 0.678445880634021 | 0.643108238731957 | 0.321554119365979 |
13 | 0.588960543091486 | 0.822078913817027 | 0.411039456908514 |
14 | 0.476213813251184 | 0.952427626502369 | 0.523786186748816 |
15 | 0.374375534853299 | 0.748751069706599 | 0.625624465146701 |
16 | 0.398478607977214 | 0.796957215954429 | 0.601521392022786 |
17 | 0.307286126137239 | 0.614572252274477 | 0.692713873862761 |
18 | 0.261794712321611 | 0.523589424643223 | 0.738205287678389 |
19 | 0.193974424390318 | 0.387948848780636 | 0.806025575609682 |
20 | 0.141129739758082 | 0.282259479516165 | 0.858870260241918 |
21 | 0.161440118953599 | 0.322880237907197 | 0.838559881046401 |
22 | 0.115930719797996 | 0.231861439595991 | 0.884069280202004 |
23 | 0.0915782096953283 | 0.183156419390657 | 0.908421790304672 |
24 | 0.0656489817016864 | 0.131297963403373 | 0.934351018298314 |
25 | 0.122892556152686 | 0.245785112305371 | 0.877107443847314 |
26 | 0.107360481545101 | 0.214720963090202 | 0.892639518454899 |
27 | 0.0829838334513259 | 0.165967666902652 | 0.917016166548674 |
28 | 0.0941314666738327 | 0.188262933347665 | 0.905868533326167 |
29 | 0.07348593901096 | 0.14697187802192 | 0.92651406098904 |
30 | 0.071672263289031 | 0.143344526578062 | 0.928327736710969 |
31 | 0.056860666534921 | 0.113721333069842 | 0.94313933346508 |
32 | 0.0404641392784202 | 0.0809282785568405 | 0.95953586072158 |
33 | 0.036568295476246 | 0.073136590952492 | 0.963431704523754 |
34 | 0.0252891728692646 | 0.0505783457385292 | 0.974710827130735 |
35 | 0.0181581419844450 | 0.0363162839688900 | 0.981841858015555 |
36 | 0.0127374625292575 | 0.0254749250585150 | 0.987262537470742 |
37 | 0.0092895920937084 | 0.0185791841874168 | 0.990710407906292 |
38 | 0.0109333349233127 | 0.0218666698466253 | 0.989066665076687 |
39 | 0.0113978562026663 | 0.0227957124053327 | 0.988602143797334 |
40 | 0.0118535774907575 | 0.0237071549815151 | 0.988146422509242 |
41 | 0.00820990649355342 | 0.0164198129871068 | 0.991790093506447 |
42 | 0.0085583603848342 | 0.0171167207696684 | 0.991441639615166 |
43 | 0.00619725474484484 | 0.0123945094896897 | 0.993802745255155 |
44 | 0.0057593182896588 | 0.0115186365793176 | 0.994240681710341 |
45 | 0.00384640032728876 | 0.00769280065457752 | 0.996153599672711 |
46 | 0.00260929195577171 | 0.00521858391154343 | 0.997390708044228 |
47 | 0.172199165342916 | 0.344398330685831 | 0.827800834657084 |
48 | 0.193277423756223 | 0.386554847512446 | 0.806722576243777 |
49 | 0.281974696872212 | 0.563949393744424 | 0.718025303127788 |
50 | 0.279931828766966 | 0.559863657533933 | 0.720068171233034 |
51 | 0.251701882306207 | 0.503403764612414 | 0.748298117693793 |
52 | 0.215085356681531 | 0.430170713363062 | 0.78491464331847 |
53 | 0.232541745671247 | 0.465083491342495 | 0.767458254328753 |
54 | 0.202055249586743 | 0.404110499173487 | 0.797944750413257 |
55 | 0.364956259661258 | 0.729912519322516 | 0.635043740338742 |
56 | 0.407188018409381 | 0.814376036818762 | 0.592811981590619 |
57 | 0.375802032443456 | 0.751604064886912 | 0.624197967556544 |
58 | 0.333321090867895 | 0.66664218173579 | 0.666678909132105 |
59 | 0.324924870498371 | 0.649849740996741 | 0.67507512950163 |
60 | 0.554528814290124 | 0.890942371419752 | 0.445471185709876 |
61 | 0.566555645396126 | 0.866888709207747 | 0.433444354603874 |
62 | 0.521553001960412 | 0.956893996079175 | 0.478446998039588 |
63 | 0.69152661254454 | 0.616946774910919 | 0.308473387455460 |
64 | 0.750998150460793 | 0.498003699078415 | 0.249001849539207 |
65 | 0.806633905303116 | 0.386732189393769 | 0.193366094696884 |
66 | 0.789440129879252 | 0.421119740241495 | 0.210559870120748 |
67 | 0.775148510433076 | 0.449702979133847 | 0.224851489566924 |
68 | 0.764579877162291 | 0.470840245675417 | 0.235420122837709 |
69 | 0.742889677831266 | 0.514220644337468 | 0.257110322168734 |
70 | 0.717476187330592 | 0.565047625338815 | 0.282523812669408 |
71 | 0.730443092947342 | 0.539113814105316 | 0.269556907052658 |
72 | 0.71023138616509 | 0.579537227669819 | 0.289768613834909 |
73 | 0.712707274800285 | 0.574585450399431 | 0.287292725199715 |
74 | 0.694348206682505 | 0.611303586634991 | 0.305651793317495 |
75 | 0.677149661134245 | 0.64570067773151 | 0.322850338865755 |
76 | 0.634066901503644 | 0.731866196992711 | 0.365933098496356 |
77 | 0.588478304900056 | 0.823043390199888 | 0.411521695099944 |
78 | 0.544334705026634 | 0.911330589946732 | 0.455665294973366 |
79 | 0.501190247772525 | 0.99761950445495 | 0.498809752227475 |
80 | 0.459296723410265 | 0.918593446820531 | 0.540703276589735 |
81 | 0.42364157616313 | 0.84728315232626 | 0.57635842383687 |
82 | 0.447860417381205 | 0.89572083476241 | 0.552139582618795 |
83 | 0.433142926806652 | 0.866285853613304 | 0.566857073193348 |
84 | 0.394879640390985 | 0.78975928078197 | 0.605120359609015 |
85 | 0.383092454483286 | 0.766184908966571 | 0.616907545516714 |
86 | 0.355137229501315 | 0.71027445900263 | 0.644862770498685 |
87 | 0.312276130488304 | 0.624552260976608 | 0.687723869511696 |
88 | 0.287651665014634 | 0.575303330029268 | 0.712348334985366 |
89 | 0.280387457250965 | 0.56077491450193 | 0.719612542749035 |
90 | 0.255124938974763 | 0.510249877949527 | 0.744875061025237 |
91 | 0.222080043418359 | 0.444160086836718 | 0.777919956581641 |
92 | 0.190465881604332 | 0.380931763208664 | 0.809534118395668 |
93 | 0.166269588842120 | 0.332539177684239 | 0.83373041115788 |
94 | 0.142898047366671 | 0.285796094733342 | 0.857101952633329 |
95 | 0.120223728875531 | 0.240447457751062 | 0.879776271124469 |
96 | 0.149807031520925 | 0.299614063041851 | 0.850192968479075 |
97 | 0.12472374741342 | 0.24944749482684 | 0.87527625258658 |
98 | 0.101619798987313 | 0.203239597974627 | 0.898380201012687 |
99 | 0.0878427854794151 | 0.175685570958830 | 0.912157214520585 |
100 | 0.0706658811085582 | 0.141331762217116 | 0.929334118891442 |
101 | 0.0590612351088525 | 0.118122470217705 | 0.940938764891148 |
102 | 0.0501881223966281 | 0.100376244793256 | 0.949811877603372 |
103 | 0.0659809072693731 | 0.131961814538746 | 0.934019092730627 |
104 | 0.0581029264237971 | 0.116205852847594 | 0.941897073576203 |
105 | 0.05273631184077 | 0.10547262368154 | 0.94726368815923 |
106 | 0.0426757440400499 | 0.0853514880800998 | 0.95732425595995 |
107 | 0.0399046455090615 | 0.0798092910181229 | 0.960095354490939 |
108 | 0.0302065451282027 | 0.0604130902564054 | 0.969793454871797 |
109 | 0.0244950509477375 | 0.0489901018954751 | 0.975504949052262 |
110 | 0.0204601368730113 | 0.0409202737460226 | 0.979539863126989 |
111 | 0.0183180826730066 | 0.0366361653460131 | 0.981681917326994 |
112 | 0.0250543766749510 | 0.0501087533499021 | 0.974945623325049 |
113 | 0.028572655049232 | 0.057145310098464 | 0.971427344950768 |
114 | 0.0327745521764339 | 0.0655491043528678 | 0.967225447823566 |
115 | 0.0243325204874719 | 0.0486650409749439 | 0.975667479512528 |
116 | 0.0176976057486302 | 0.0353952114972605 | 0.98230239425137 |
117 | 0.051026685892464 | 0.102053371784928 | 0.948973314107536 |
118 | 0.0385427508237057 | 0.0770855016474113 | 0.961457249176294 |
119 | 0.0407369589654041 | 0.0814739179308083 | 0.959263041034596 |
120 | 0.0313422766656190 | 0.0626845533312381 | 0.968657723334381 |
121 | 0.0236203074594016 | 0.0472406149188032 | 0.976379692540598 |
122 | 0.0170600304480401 | 0.0341200608960801 | 0.98293996955196 |
123 | 0.0569768740859643 | 0.113953748171929 | 0.943023125914036 |
124 | 0.0471229431470614 | 0.0942458862941227 | 0.952877056852939 |
125 | 0.0392303746069708 | 0.0784607492139416 | 0.96076962539303 |
126 | 0.0345800263364107 | 0.0691600526728215 | 0.96541997366359 |
127 | 0.0244935237964154 | 0.0489870475928308 | 0.975506476203585 |
128 | 0.0788659876339942 | 0.157731975267988 | 0.921134012366006 |
129 | 0.061485217190467 | 0.122970434380934 | 0.938514782809533 |
130 | 0.111022944337546 | 0.222045888675091 | 0.888977055662454 |
131 | 0.192886885132545 | 0.38577377026509 | 0.807113114867455 |
132 | 0.148764351038975 | 0.297528702077950 | 0.851235648961025 |
133 | 0.117043611447655 | 0.234087222895310 | 0.882956388552345 |
134 | 0.651476310038078 | 0.697047379923845 | 0.348523689961922 |
135 | 0.579635398779735 | 0.84072920244053 | 0.420364601220265 |
136 | 0.50940502473729 | 0.98118995052542 | 0.49059497526271 |
137 | 0.451558528686307 | 0.903117057372614 | 0.548441471313693 |
138 | 0.434080706779877 | 0.868161413559754 | 0.565919293220123 |
139 | 0.370926924329184 | 0.741853848658367 | 0.629073075670816 |
140 | 0.669150609644767 | 0.661698780710467 | 0.330849390355233 |
141 | 0.650156312410736 | 0.699687375178528 | 0.349843687589264 |
142 | 0.541638265245033 | 0.916723469509934 | 0.458361734754967 |
143 | 0.502817886794038 | 0.994364226411924 | 0.497182113205962 |
144 | 0.396545903807507 | 0.793091807615014 | 0.603454096192493 |
145 | 0.271590293505362 | 0.543180587010724 | 0.728409706494638 |
146 | 0.394832238478928 | 0.789664476957856 | 0.605167761521072 |
Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity | |||
Description | # significant tests | % significant tests | OK/NOK |
1% type I error level | 2 | 0.0145985401459854 | NOK |
5% type I error level | 20 | 0.145985401459854 | NOK |
10% type I error level | 35 | 0.255474452554745 | NOK |