Multiple Linear Regression - Estimated Regression Equation |
SocialVisible[t] = + 1.12351677669589 + 0.205006149466121ManyFriends[t] + 0.0858332162777073MakeNewFriends[t] + 0.258524308214946QuiteAccepted[t] + 0.107736898186249IntendMakeNewFriends[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) | 1.12351677669589 | 0.460376 | 2.4404 | 0.015867 | 0.007934 |
ManyFriends | 0.205006149466121 | 0.074354 | 2.7572 | 0.006575 | 0.003288 |
MakeNewFriends | 0.0858332162777073 | 0.09535 | 0.9002 | 0.369502 | 0.184751 |
QuiteAccepted | 0.258524308214946 | 0.095395 | 2.71 | 0.007533 | 0.003767 |
IntendMakeNewFriends | 0.107736898186249 | 0.093528 | 1.1519 | 0.251238 | 0.125619 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 0.438634013380361 |
R-squared | 0.192399797694162 |
Adjusted R-squared | 0.170273764754276 |
F-TEST (value) | 8.69563008501758 |
F-TEST (DF numerator) | 4 |
F-TEST (DF denominator) | 146 |
p-value | 2.52776170817093e-06 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 0.713165967765175 |
Sum Squared Residuals | 74.256431846452 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
1 | 3 | 3.54691291580986 | -0.546912915809856 |
2 | 4 | 3.28838860759491 | 0.711611392405088 |
3 | 4 | 3.55834895081202 | 0.441651049187978 |
4 | 3 | 3.07291481122241 | -0.0729148112224138 |
5 | 2 | 2.88981234366483 | -0.889812343664835 |
6 | 2 | 3.54691291580986 | -1.54691291580986 |
7 | 5 | 3.85965596346223 | 1.14034403653777 |
8 | 3 | 3.08338245812879 | -0.0833824581287911 |
9 | 2 | 3.54691291580986 | -1.54691291580986 |
10 | 2 | 3.10625452813312 | -1.10625452813312 |
11 | 4 | 3.15977268688194 | 0.840227313118055 |
12 | 3 | 3.28838860759491 | -0.288388607594912 |
13 | 3 | 3.75191906527598 | -0.751919065275978 |
14 | 4 | 3.19111935631504 | 0.80888064368496 |
15 | 4 | 3.19111935631504 | 0.80888064368496 |
16 | 2 | 3.46107969953215 | -1.46107969953215 |
17 | 3 | 2.97564555994254 | 0.0243544400574579 |
18 | 4 | 3.75191906527598 | 0.248080934724022 |
19 | 2 | 2.99754924185108 | -0.997549241851084 |
20 | 2 | 2.49123607973476 | -0.491236079734758 |
21 | 3 | 3.37524648325444 | -0.375246483254443 |
22 | 4 | 3.75191906527598 | 0.248080934724022 |
23 | 2 | 2.99754924185108 | -0.997549241851084 |
24 | 2 | 3.28838860759491 | -1.28838860759491 |
25 | 3 | 3.54691291580986 | -0.546912915809858 |
26 | 4 | 3.66608584899827 | 0.333914151001729 |
27 | 4 | 3.46107969953215 | 0.53892030046785 |
28 | 3 | 3.26750958506819 | -0.267509585068194 |
29 | 3 | 3.55834895081202 | -0.558348950812022 |
30 | 4 | 3.75191906527598 | 0.248080934724022 |
31 | 2 | 3.04130033438213 | -1.04130033438213 |
32 | 3 | 3.46107969953215 | -0.46107969953215 |
33 | 4 | 3.75191906527598 | 0.248080934724022 |
34 | 2 | 3.08338245812879 | -1.08338245812879 |
35 | 4 | 3.66608584899827 | 0.333914151001729 |
36 | 4 | 3.54691291580986 | 0.453087084190142 |
37 | 2 | 2.80397912738713 | -0.803979127387127 |
38 | 3 | 3.66608584899827 | -0.666085848998271 |
39 | 4 | 3.75191906527598 | 0.248080934724022 |
40 | 4 | 3.49339475706103 | 0.506605242938968 |
41 | 3 | 3.55834895081202 | -0.558348950812022 |
42 | 4 | 3.27695257259275 | 0.723047427407252 |
43 | 3 | 2.99754924185108 | 0.00245075814891616 |
44 | 3 | 3.2025553913172 | -0.202555391317204 |
45 | 3 | 3.49339475706103 | -0.493394757061032 |
46 | 3 | 3.9569252147421 | -0.956925214742099 |
47 | 2 | 3.0184282643778 | -1.0184282643778 |
48 | 4 | 3.2025553913172 | 0.797444608682795 |
49 | 4 | 3.54691291580986 | 0.453087084190142 |
50 | 4 | 3.08338245812879 | 0.916617541871209 |
51 | 2 | 2.80397912738713 | -0.803979127387127 |
52 | 3 | 3.54691291580986 | -0.546912915809858 |
53 | 3 | 3.08338245812879 | -0.0833824581287911 |
54 | 3 | 3.85965596346223 | -0.859655963462227 |
55 | 3 | 3.46107969953215 | -0.46107969953215 |
56 | 2 | 3.3533428013459 | -1.3533428013459 |
57 | 4 | 3.81687325902697 | 0.183126740973032 |
58 | 4 | 2.9652341843222 | 1.0347658156778 |
59 | 4 | 3.75191906527598 | 0.248080934724022 |
60 | 3 | 3.08338245812879 | -0.0833824581287911 |
61 | 4 | 3.49339475706103 | 0.506605242938968 |
62 | 3 | 3.29982464259708 | -0.299824642597076 |
63 | 4 | 3.64418216708973 | 0.355817832910271 |
64 | 3 | 2.88981234366483 | 0.110187656335165 |
65 | 3 | 3.75191906527598 | -0.751919065275978 |
66 | 3 | 3.08338245812879 | -0.0833824581287911 |
67 | 3 | 3.49339475706103 | -0.493394757061032 |
68 | 4 | 3.49339475706103 | 0.506605242938968 |
69 | 1 | 2.46906459041903 | -1.46906459041903 |
70 | 4 | 3.64418216708973 | 0.355817832910271 |
71 | 4 | 3.75191906527598 | 0.248080934724022 |
72 | 3 | 3.43917601762361 | -0.439176017623608 |
73 | 5 | 3.15977268688194 | 1.84022731311806 |
74 | 3 | 3.46107969953215 | -0.46107969953215 |
75 | 3 | 3.54691291580986 | -0.546912915809858 |
76 | 3 | 3.39612550578116 | -0.396125505781161 |
77 | 4 | 2.98708159494471 | 1.01291840505529 |
78 | 4 | 3.49339475706103 | 0.506605242938968 |
79 | 3 | 2.87837630866267 | 0.121623691337329 |
80 | 3 | 3.54691291580986 | -0.546912915809858 |
81 | 4 | 3.46107969953215 | 0.53892030046785 |
82 | 2 | 3.3533428013459 | -1.3533428013459 |
83 | 4 | 3.14903723256838 | 0.85096276743162 |
84 | 3 | 3.39612550578116 | -0.396125505781161 |
85 | 2 | 2.86790866175629 | -0.867908661756293 |
86 | 4 | 3.15977268688194 | 0.840227313118055 |
87 | 4 | 3.75191906527598 | 0.248080934724022 |
88 | 3 | 3.46107969953215 | -0.46107969953215 |
89 | 4 | 3.64418216708973 | 0.355817832910271 |
90 | 4 | 3.46107969953215 | 0.53892030046785 |
91 | 4 | 3.75191906527598 | 0.248080934724022 |
92 | 3 | 3.66608584899827 | -0.666085848998271 |
93 | 3 | 3.2025553913172 | -0.202555391317204 |
94 | 4 | 3.08338245812879 | 0.916617541871209 |
95 | 5 | 2.31854498779752 | 2.68145501220248 |
96 | 3 | 2.82485814991385 | 0.175141850086155 |
97 | 4 | 3.17024033378832 | 0.829759666211678 |
98 | 4 | 3.28838860759491 | 0.711611392405088 |
99 | 4 | 3.75191906527598 | 0.248080934724022 |
100 | 4 | 3.75191906527598 | 0.248080934724022 |
101 | 5 | 3.91317412221105 | 1.08682587778895 |
102 | 4 | 3.28838860759491 | 0.711611392405088 |
103 | 3 | 2.27549447595507 | 0.724505524044928 |
104 | 4 | 3.54691291580986 | 0.453087084190142 |
105 | 4 | 3.09481849313096 | 0.905181506869045 |
106 | 4 | 3.75191906527598 | 0.248080934724022 |
107 | 4 | 3.25607355006603 | 0.74392644993397 |
108 | 4 | 3.46107969953215 | 0.53892030046785 |
109 | 3 | 3.26750958506819 | -0.267509585068194 |
110 | 4 | 3.28838860759491 | 0.711611392405088 |
111 | 4 | 3.75191906527598 | 0.248080934724022 |
112 | 4 | 3.75191906527598 | 0.248080934724022 |
113 | 4 | 3.34363200641416 | 0.65636799358584 |
114 | 4 | 3.49339475706103 | 0.506605242938968 |
115 | 4 | 3.34190676634374 | 0.658093233656263 |
116 | 4 | 3.54691291580986 | 0.453087084190142 |
117 | 3 | 3.40756154078333 | -0.407561540783325 |
118 | 4 | 3.28838860759491 | 0.711611392405088 |
119 | 3 | 3.49339475706103 | -0.493394757061032 |
120 | 3 | 3.25607355006603 | -0.25607355006603 |
121 | 4 | 3.75191906527598 | 0.248080934724022 |
122 | 4 | 3.49339475706103 | 0.506605242938968 |
123 | 4 | 3.28838860759491 | 0.711611392405088 |
124 | 4 | 3.75191906527598 | 0.248080934724022 |
125 | 3 | 3.54691291580986 | -0.546912915809858 |
126 | 3 | 3.3533428013459 | -0.353342801345901 |
127 | 1 | 1.95228378139632 | -0.952283781396325 |
128 | 4 | 3.75191906527598 | 0.248080934724022 |
129 | 3 | 3.75191906527598 | -0.751919065275978 |
130 | 4 | 3.34190676634374 | 0.658093233656263 |
131 | 4 | 3.54691291580986 | 0.453087084190142 |
132 | 3 | 3.75191906527598 | -0.751919065275978 |
133 | 4 | 3.54691291580986 | 0.453087084190142 |
134 | 4 | 3.75191906527598 | 0.248080934724022 |
135 | 2 | 3.34190676634374 | -1.34190676634374 |
136 | 4 | 3.9569252147421 | 0.0430747852579012 |
137 | 3 | 3.3533428013459 | -0.353342801345901 |
138 | 3 | 3.66608584899827 | -0.666085848998271 |
139 | 4 | 3.54691291580986 | 0.453087084190142 |
140 | 4 | 3.75191906527598 | 0.248080934724022 |
141 | 3 | 3.54691291580986 | -0.546912915809858 |
142 | 3 | 3.54691291580986 | -0.546912915809858 |
143 | 3 | 3.34190676634374 | -0.341906766343737 |
144 | 4 | 3.75191906527598 | 0.248080934724022 |
145 | 4 | 3.75191906527598 | 0.248080934724022 |
146 | 3 | 3.54691291580986 | -0.546912915809858 |
147 | 4 | 4.01044337349092 | -0.0104433734909239 |
148 | 3 | 2.97564555994254 | 0.0243544400574579 |
149 | 4 | 3.64418216708973 | 0.355817832910271 |
150 | 4 | 3.49339475706103 | 0.506605242938968 |
151 | 4 | 3.18065170940866 | 0.819348290591337 |
Goldfeld-Quandt test for Heteroskedasticity | |||
p-values | Alternative Hypothesis | ||
breakpoint index | greater | 2-sided | less |
8 | 0.348049599806604 | 0.696099199613208 | 0.651950400193396 |
9 | 0.306033364114778 | 0.612066728229555 | 0.693966635885222 |
10 | 0.832174546466564 | 0.335650907066873 | 0.167825453533437 |
11 | 0.989961074650637 | 0.0200778506987261 | 0.010038925349363 |
12 | 0.981336493405565 | 0.0373270131888702 | 0.0186635065944351 |
13 | 0.976560566355956 | 0.0468788672880872 | 0.0234394336440436 |
14 | 0.974436410912984 | 0.0511271781740309 | 0.0255635890870155 |
15 | 0.965972465703523 | 0.0680550685929531 | 0.0340275342964766 |
16 | 0.985016794063572 | 0.0299664118728564 | 0.0149832059364282 |
17 | 0.977736033474614 | 0.0445279330507722 | 0.0222639665253861 |
18 | 0.97028028043963 | 0.059439439120741 | 0.0297197195603705 |
19 | 0.974510265626771 | 0.0509794687464579 | 0.025489734373229 |
20 | 0.965080919960152 | 0.0698381600796966 | 0.0349190800398483 |
21 | 0.949884541113095 | 0.10023091777381 | 0.0501154588869049 |
22 | 0.934355404081713 | 0.131289191836574 | 0.065644595918287 |
23 | 0.938700071638551 | 0.122599856722897 | 0.0612999283614487 |
24 | 0.965900924935426 | 0.0681981501291475 | 0.0340990750645737 |
25 | 0.954486086740536 | 0.0910278265189273 | 0.0455139132594637 |
26 | 0.94407110662251 | 0.111857786754979 | 0.0559288933774895 |
27 | 0.944398473164635 | 0.111203053670731 | 0.0556015268353654 |
28 | 0.926347957877192 | 0.147304084245615 | 0.0736520421228077 |
29 | 0.910258367143783 | 0.179483265712435 | 0.0897416328562174 |
30 | 0.888585203194873 | 0.222829593610253 | 0.111414796805127 |
31 | 0.898998570972616 | 0.202002858054767 | 0.101001429027384 |
32 | 0.877270461797157 | 0.245459076405686 | 0.122729538202843 |
33 | 0.851085289610113 | 0.297829420779774 | 0.148914710389887 |
34 | 0.863418760614653 | 0.273162478770695 | 0.136581239385347 |
35 | 0.83946971530985 | 0.321060569380299 | 0.16053028469015 |
36 | 0.82403887858614 | 0.351922242827721 | 0.17596112141386 |
37 | 0.81137529237271 | 0.377249415254581 | 0.18862470762729 |
38 | 0.8024940913965 | 0.395011817207001 | 0.1975059086035 |
39 | 0.767660707660962 | 0.464678584678075 | 0.232339292339038 |
40 | 0.756668991803284 | 0.486662016393431 | 0.243331008196716 |
41 | 0.733503331232836 | 0.532993337534328 | 0.266496668767164 |
42 | 0.744294214120265 | 0.51141157175947 | 0.255705785879735 |
43 | 0.709105588267532 | 0.581788823464937 | 0.290894411732468 |
44 | 0.666078045632144 | 0.667843908735713 | 0.333921954367856 |
45 | 0.636598035680723 | 0.726803928638554 | 0.363401964319277 |
46 | 0.678344303831735 | 0.64331139233653 | 0.321655696168265 |
47 | 0.702872722330415 | 0.59425455533917 | 0.297127277669585 |
48 | 0.742884724801514 | 0.514230550396972 | 0.257115275198486 |
49 | 0.722572209363079 | 0.554855581273842 | 0.277427790636921 |
50 | 0.771580016411437 | 0.456839967177126 | 0.228419983588563 |
51 | 0.776977840133983 | 0.446044319732034 | 0.223022159866017 |
52 | 0.759472110283629 | 0.481055779432742 | 0.240527889716371 |
53 | 0.720071861010776 | 0.559856277978448 | 0.279928138989224 |
54 | 0.743610304010747 | 0.512779391978505 | 0.256389695989253 |
55 | 0.719943544097387 | 0.560112911805225 | 0.280056455902613 |
56 | 0.813539598152449 | 0.372920803695103 | 0.186460401847551 |
57 | 0.787156952157202 | 0.425686095685596 | 0.212843047842798 |
58 | 0.821241271350417 | 0.357517457299165 | 0.178758728649583 |
59 | 0.794918977971189 | 0.410162044057622 | 0.205081022028811 |
60 | 0.759464953456233 | 0.481070093087535 | 0.240535046543767 |
61 | 0.756219053339707 | 0.487561893320586 | 0.243780946660293 |
62 | 0.734886519362695 | 0.53022696127461 | 0.265113480637305 |
63 | 0.713458541877737 | 0.573082916244526 | 0.286541458122263 |
64 | 0.683548134065066 | 0.632903731869868 | 0.316451865934934 |
65 | 0.688749389250827 | 0.622501221498345 | 0.311250610749173 |
66 | 0.645817987282068 | 0.708364025435864 | 0.354182012717932 |
67 | 0.621317330578991 | 0.757365338842018 | 0.378682669421009 |
68 | 0.610856954013604 | 0.778286091972793 | 0.389143045986396 |
69 | 0.748409930498557 | 0.503180139002886 | 0.251590069501443 |
70 | 0.722354044181411 | 0.555291911637178 | 0.277645955818589 |
71 | 0.6863186915199 | 0.627362616960201 | 0.3136813084801 |
72 | 0.661345913496027 | 0.677308173007946 | 0.338654086503973 |
73 | 0.876730884512819 | 0.246538230974362 | 0.123269115487181 |
74 | 0.865903607354542 | 0.268192785290916 | 0.134096392645458 |
75 | 0.858812906906985 | 0.282374186186029 | 0.141187093093015 |
76 | 0.850491094031523 | 0.299017811936953 | 0.149508905968477 |
77 | 0.886145885933951 | 0.227708228132097 | 0.113854114066049 |
78 | 0.876624699000377 | 0.246750601999246 | 0.123375300999623 |
79 | 0.855135382171036 | 0.289729235657928 | 0.144864617828964 |
80 | 0.849420686777657 | 0.301158626444686 | 0.150579313222343 |
81 | 0.835819686434466 | 0.328360627131069 | 0.164180313565534 |
82 | 0.909451173904185 | 0.18109765219163 | 0.0905488260958152 |
83 | 0.917046271594391 | 0.165907456811217 | 0.0829537284056086 |
84 | 0.915914181525409 | 0.168171636949182 | 0.0840858184745912 |
85 | 0.931070368916603 | 0.137859262166793 | 0.0689296310833967 |
86 | 0.943307976099897 | 0.113384047800205 | 0.0566920239001026 |
87 | 0.929807281008718 | 0.140385437982565 | 0.0701927189912824 |
88 | 0.924383522582784 | 0.151232954834432 | 0.0756164774172162 |
89 | 0.91383098148379 | 0.172338037032421 | 0.0861690185162105 |
90 | 0.903205302915832 | 0.193589394168337 | 0.0967946970841683 |
91 | 0.882909793064006 | 0.234180413871989 | 0.117090206935994 |
92 | 0.884343906558136 | 0.231312186883728 | 0.115656093441864 |
93 | 0.872536999469305 | 0.254926001061391 | 0.127463000530695 |
94 | 0.876839389052196 | 0.246321221895609 | 0.123160610947804 |
95 | 0.998917276190154 | 0.00216544761969174 | 0.00108272380984587 |
96 | 0.998546846125694 | 0.00290630774861171 | 0.00145315387430586 |
97 | 0.998783654470279 | 0.00243269105944228 | 0.00121634552972114 |
98 | 0.998529625833307 | 0.00294074833338622 | 0.00147037416669311 |
99 | 0.997825654279675 | 0.00434869144064969 | 0.00217434572032485 |
100 | 0.996819773445662 | 0.00636045310867662 | 0.00318022655433831 |
101 | 0.997850712282475 | 0.00429857543504926 | 0.00214928771752463 |
102 | 0.997420791858313 | 0.00515841628337454 | 0.00257920814168727 |
103 | 0.996529128992685 | 0.00694174201463092 | 0.00347087100731546 |
104 | 0.99547701110574 | 0.00904597778852042 | 0.00452298889426021 |
105 | 0.997421474426686 | 0.00515705114662889 | 0.00257852557331445 |
106 | 0.996183395316945 | 0.00763320936610923 | 0.00381660468305462 |
107 | 0.996932083429304 | 0.00613583314139258 | 0.00306791657069629 |
108 | 0.996819794278599 | 0.0063604114428019 | 0.00318020572140095 |
109 | 0.99565281900981 | 0.0086943619803793 | 0.00434718099018965 |
110 | 0.994791459603975 | 0.0104170807920491 | 0.00520854039602457 |
111 | 0.992358857321678 | 0.0152822853566442 | 0.00764114267832211 |
112 | 0.988955091469245 | 0.0220898170615098 | 0.0110449085307549 |
113 | 0.993498477161285 | 0.0130030456774307 | 0.00650152283871537 |
114 | 0.991058617954443 | 0.0178827640911142 | 0.00894138204555712 |
115 | 0.991957829013445 | 0.0160843419731109 | 0.00804217098655545 |
116 | 0.990234037074525 | 0.0195319258509501 | 0.00976596292547505 |
117 | 0.985771758756084 | 0.028456482487831 | 0.0142282412439155 |
118 | 0.985636495237715 | 0.02872700952457 | 0.014363504762285 |
119 | 0.987684259515362 | 0.0246314809692761 | 0.0123157404846381 |
120 | 0.985819458054457 | 0.0283610838910865 | 0.0141805419455432 |
121 | 0.978871633907843 | 0.0422567321843138 | 0.0211283660921569 |
122 | 0.97044679889146 | 0.0591064022170794 | 0.0295532011085397 |
123 | 0.973675385994068 | 0.0526492280118639 | 0.0263246140059319 |
124 | 0.96192554829123 | 0.0761489034175383 | 0.0380744517087691 |
125 | 0.954322902756643 | 0.0913541944867141 | 0.0456770972433571 |
126 | 0.938740166410123 | 0.122519667179754 | 0.0612598335898768 |
127 | 0.953965628500888 | 0.092068742998225 | 0.0460343714991125 |
128 | 0.93507532081189 | 0.12984935837622 | 0.0649246791881102 |
129 | 0.949296704337172 | 0.101406591325656 | 0.0507032956628281 |
130 | 0.979176293089565 | 0.0416474138208703 | 0.0208237069104352 |
131 | 0.983082511513474 | 0.0338349769730514 | 0.0169174884865257 |
132 | 0.99237958850167 | 0.0152408229966612 | 0.00762041149833062 |
133 | 0.995663714049367 | 0.00867257190126495 | 0.00433628595063248 |
134 | 0.991648263879035 | 0.0167034722419298 | 0.00835173612096492 |
135 | 0.997208446546167 | 0.00558310690766585 | 0.00279155345383293 |
136 | 0.99631693862529 | 0.00736612274942095 | 0.00368306137471047 |
137 | 0.992568494104168 | 0.014863011791664 | 0.00743150589583201 |
138 | 0.98329950603298 | 0.0334009879340419 | 0.0167004939670209 |
139 | 0.993634822847365 | 0.0127303543052692 | 0.0063651771526346 |
140 | 0.98361830263482 | 0.0327633947303598 | 0.0163816973651799 |
141 | 0.97108826476277 | 0.0578234704744602 | 0.0289117352372301 |
142 | 0.956707594685902 | 0.0865848106281963 | 0.0432924053140982 |
143 | 0.916759477556936 | 0.166481044886129 | 0.0832405224430644 |
Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity | |||
Description | # significant tests | % significant tests | OK/NOK |
1% type I error level | 18 | 0.132352941176471 | NOK |
5% type I error level | 43 | 0.316176470588235 | NOK |
10% type I error level | 57 | 0.419117647058824 | NOK |