Multiple Linear Regression - Estimated Regression Equation |
Liked[t] = + 10.9076439084437 -0.0539084263550218gender[t] + 0.0942832024265008FindingFriends[t] -0.239150405757677FF_G[t] + 0.306793741609170KnowingPeople[t] + 0.0479727705095403KP_G[t] + 0.434063277964381Celebrity[t] + 0.175313638246559C_G[t] -0.162231908269386FBF[t] + 0.140103616364116FBF_G[t] -0.0138083217008717SBF[t] + 0.0259449406246356SBF_G[t] + 0.0539522434431308TBF[t] -0.171883276901893`TBF_G `[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) | 10.9076439084437 | 5.714597 | 1.9087 | 0.058314 | 0.029157 |
gender | -0.0539084263550218 | 0.068714 | -0.7845 | 0.434031 | 0.217016 |
FindingFriends | 0.0942832024265008 | 0.065061 | 1.4491 | 0.149501 | 0.074751 |
FF_G | -0.239150405757677 | 0.068283 | -3.5024 | 0.000617 | 0.000308 |
KnowingPeople | 0.306793741609170 | 0.065369 | 4.6933 | 6e-06 | 3e-06 |
KP_G | 0.0479727705095403 | 0.070032 | 0.685 | 0.494456 | 0.247228 |
Celebrity | 0.434063277964381 | 0.063486 | 6.8371 | 0 | 0 |
C_G | 0.175313638246559 | 0.075068 | 2.3354 | 0.020924 | 0.010462 |
FBF | -0.162231908269386 | 0.074656 | -2.1731 | 0.031434 | 0.015717 |
FBF_G | 0.140103616364116 | 0.084742 | 1.6533 | 0.100479 | 0.050239 |
SBF | -0.0138083217008717 | 0.071324 | -0.1936 | 0.846765 | 0.423383 |
SBF_G | 0.0259449406246356 | 0.084646 | 0.3065 | 0.759666 | 0.379833 |
TBF | 0.0539522434431308 | 0.073948 | 0.7296 | 0.466835 | 0.233418 |
`TBF_G ` | -0.171883276901893 | 0.072502 | -2.3708 | 0.019095 | 0.009548 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 0.72593515474096 |
R-squared | 0.526981848888782 |
Adjusted R-squared | 0.483677370265924 |
F-TEST (value) | 12.1692228066826 |
F-TEST (DF numerator) | 13 |
F-TEST (DF denominator) | 142 |
p-value | 0 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 30.5403940626352 |
Sum Squared Residuals | 132445.625069148 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
1 | 13 | -1.45623141818493 | 14.4562314181849 |
2 | 13 | -5.23498181374992 | 18.2349818137499 |
3 | 16 | 16.2830887309628 | -0.283088730962812 |
4 | 143 | 71.7172583432004 | 71.2827416567996 |
5 | 67 | 58.8422173714636 | 8.1577826285364 |
6 | 0 | 11.5425192736505 | -11.5425192736505 |
7 | 8 | 41.4155338144981 | -33.4155338144981 |
8 | 1 | -5.8299659167488 | 6.8299659167488 |
9 | 0 | 2.06464382494511 | -2.06464382494511 |
10 | 16 | 18.4286965290779 | -2.42869652907785 |
11 | 11 | 8.65033664689065 | 2.34966335310935 |
12 | 16 | 28.1858409077172 | -12.1858409077172 |
13 | 0 | 5.60697039539112 | -5.60697039539112 |
14 | 0 | 12.5274527415966 | -12.5274527415966 |
15 | 0 | 9.2628008121568 | -9.2628008121568 |
16 | 6 | 11.1412060005519 | -5.14120600055185 |
17 | 102 | 57.0898626004807 | 44.9101373995193 |
18 | 0 | 42.5793682918182 | -42.5793682918182 |
19 | 0 | 50.8553611323748 | -50.8553611323748 |
20 | 0 | 7.96939416550511 | -7.96939416550511 |
21 | 74 | 23.7969093001764 | 50.2030906998236 |
22 | 0 | -23.186325560602 | 23.186325560602 |
23 | 12 | 20.5060158122785 | -8.50601581227855 |
24 | 0 | -1.67952503105283 | 1.67952503105283 |
25 | 0 | -0.570515477658293 | 0.570515477658293 |
26 | 8 | 30.8004373737074 | -22.8004373737074 |
27 | 0 | -16.1000853616950 | 16.1000853616950 |
28 | 0 | 9.37698757142566 | -9.37698757142566 |
29 | 10 | 9.05056832349069 | 0.949431676509306 |
30 | 10 | -6.24224265621931 | 16.2422426562193 |
31 | 12 | 4.09332892461398 | 7.90667107538602 |
32 | 8 | 11.4700314761331 | -3.47003147613315 |
33 | 11 | 18.7616405864576 | -7.76164058645758 |
34 | 16 | 15.6465587574373 | 0.353441242562654 |
35 | 10 | 22.1939388338959 | -12.1939388338959 |
36 | 8 | 6.97576971744538 | 1.02423028255462 |
37 | 14 | 9.32796492682256 | 4.67203507317744 |
38 | 16 | 16.6951366360267 | -0.695136636026657 |
39 | 13 | 13.7182089494011 | -0.718208949401064 |
40 | 5 | 10.2716212593308 | -5.27162125933084 |
41 | 12 | -9.39135237262212 | 21.3913523726221 |
42 | 4 | 16.6473074666009 | -12.6473074666009 |
43 | 127 | 49.7870651928142 | 77.2129348071858 |
44 | 76 | 36.5584309954533 | 39.4415690045467 |
45 | 25 | 35.5521462206598 | -10.5521462206598 |
46 | 0 | 10.6070553094009 | -10.6070553094009 |
47 | 111 | 100.141791750524 | 10.8582082494760 |
48 | 0 | 37.5832940338728 | -37.5832940338728 |
49 | 0 | 2.07822619829041 | -2.07822619829041 |
50 | 51 | 97.5274131348986 | -46.5274131348986 |
51 | 53 | 106.231846568909 | -53.2318465689087 |
52 | 131 | 18.6614706720989 | 112.338529327901 |
53 | 11 | 15.8749104633964 | -4.87491046339637 |
54 | 9 | 15.9768764533434 | -6.9768764533434 |
55 | 9 | 13.9627838796735 | -4.96278387967353 |
56 | 11 | 30.6795719977376 | -19.6795719977376 |
57 | 0 | 4.88594333092586 | -4.88594333092586 |
58 | 12 | 26.0340806920860 | -14.0340806920860 |
59 | 14 | 8.50412674023324 | 5.49587325976676 |
60 | 12 | 16.8937572617192 | -4.89375726171916 |
61 | 15 | 18.8519562062100 | -3.85195620621003 |
62 | 12 | -2.27409247089255 | 14.2740924708926 |
63 | 13 | 12.7716863774422 | 0.228313622557798 |
64 | 12 | 17.9714297500092 | -5.97142975000919 |
65 | 12 | 10.8348448246611 | 1.16515517533886 |
66 | 0 | 57.0337272609345 | -57.0337272609345 |
67 | 2 | 80.2129704944614 | -78.2129704944614 |
68 | 36 | 41.290091438925 | -5.29009143892499 |
69 | 36 | 42.0219758280602 | -6.02197582806017 |
70 | 141 | 84.7768653709318 | 56.2231346290682 |
71 | 0 | 13.7360696884561 | -13.7360696884561 |
72 | 37 | 14.3519187932181 | 22.6480812067819 |
73 | 0 | 14.4706962574182 | -14.4706962574182 |
74 | 10 | 30.9643674627582 | -20.9643674627582 |
75 | 0 | 54.3239372287093 | -54.3239372287093 |
76 | 0 | 23.6593405449579 | -23.6593405449579 |
77 | 0 | 14.1468443770239 | -14.1468443770239 |
78 | 58 | 18.876547755578 | 39.123452244422 |
79 | 4 | 40.7381380512141 | -36.7381380512141 |
80 | 91 | 85.420838622764 | 5.5791613772361 |
81 | 132 | 94.8123249439454 | 37.1876750560546 |
82 | 0 | 52.9449868010472 | -52.9449868010472 |
83 | 0 | 12.2671642865290 | -12.2671642865290 |
84 | 7 | 13.7207336818016 | -6.72073368180163 |
85 | 11 | 19.0880713803169 | -8.08807138031689 |
86 | 11 | 17.5118336357838 | -6.51183363578381 |
87 | 11 | 11.0701850748028 | -0.0701850748028354 |
88 | 0 | -3.36799736615727 | 3.36799736615727 |
89 | 12 | 33.5193050927784 | -21.5193050927784 |
90 | 10 | 20.205681104634 | -10.2056811046340 |
91 | 0 | -13.3229477310733 | 13.3229477310733 |
92 | 8 | 21.4032501415980 | -13.4032501415980 |
93 | 13 | 13.8920224653129 | -0.89202246531288 |
94 | 21 | 17.5645537563069 | 3.43544624369305 |
95 | 118 | 70.4810407238269 | 47.5189592761731 |
96 | 39 | 80.2578239020356 | -41.2578239020356 |
97 | 63 | 55.6325238956821 | 7.36747610431785 |
98 | 78 | 70.425544166167 | 7.57445583383294 |
99 | 26 | 19.1594916633541 | 6.84050833664593 |
100 | 50 | 54.591463459504 | -4.59146345950401 |
101 | 104 | 116.392455188913 | -12.3924551889129 |
102 | 0 | 59.2400392627704 | -59.2400392627704 |
103 | 0 | 5.71723967964059 | -5.71723967964059 |
104 | 122 | 107.995188098880 | 14.0048119011202 |
105 | 149 | 85.881136508902 | 63.1188634910979 |
106 | 17 | 29.8093921189283 | -12.8093921189283 |
107 | 91 | 79.4594650494405 | 11.5405349505595 |
108 | 111 | 58.6118839661732 | 52.3881160338268 |
109 | 99 | 69.0053931319316 | 29.9946068680684 |
110 | 40 | 28.2283005101187 | 11.7716994898813 |
111 | 132 | 59.5481439179453 | 72.4518560820547 |
112 | 123 | 60.9126144201834 | 62.0873855798166 |
113 | 54 | 47.9695267545053 | 6.03047324549466 |
114 | 90 | 39.4819066277776 | 50.5180933722224 |
115 | 86 | 38.7106852476309 | 47.2893147523691 |
116 | 152 | 97.7351443936914 | 54.2648556063086 |
117 | 152 | 125.393665394004 | 26.6063346059965 |
118 | 123 | 49.7981491662396 | 73.2018508337604 |
119 | 100 | 93.9331090448942 | 6.0668909551058 |
120 | 116 | 96.8675073172337 | 19.1324926827663 |
121 | 59 | 71.1309121679744 | -12.1309121679744 |
122 | 12 | 20.5647370157687 | -8.56473701576867 |
123 | 12 | 13.1403891508116 | -1.14038915081164 |
124 | 8 | 20.5231556414531 | -12.5231556414531 |
125 | 8 | 25.2447438763270 | -17.2447438763270 |
126 | 14 | 21.5019145705868 | -7.50191457058685 |
127 | 12 | 25.3388208463015 | -13.3388208463015 |
128 | 0 | 18.3962483587954 | -18.3962483587954 |
129 | 6 | 13.5774206049397 | -7.57742060493974 |
130 | 0 | 33.5505461039532 | -33.5505461039532 |
131 | 0 | 80.5421866652787 | -80.5421866652787 |
132 | 93 | 70.751363289338 | 22.248636710662 |
133 | 0 | 9.16523906799077 | -9.16523906799077 |
134 | 0 | 50.9031810564828 | -50.9031810564828 |
135 | 0 | -19.8188601785399 | 19.8188601785399 |
136 | 17 | 29.3499923500707 | -12.3499923500707 |
137 | 0 | -16.0547236333581 | 16.0547236333581 |
138 | 0 | -5.56983624424273 | 5.56983624424273 |
139 | 1 | 14.7210575963478 | -13.7210575963478 |
140 | 1 | 39.7952241566575 | -38.7952241566575 |
141 | 0 | 28.1516177636635 | -28.1516177636635 |
142 | 0 | -4.66113860607162 | 4.66113860607162 |
143 | 11 | 6.57425555557049 | 4.42574444442951 |
144 | 12 | -12.9206603306079 | 24.9206603306079 |
145 | 11 | -26.5691046302022 | 37.5691046302022 |
146 | 0 | 1.89367081705365 | -1.89367081705365 |
147 | 0 | -3.25986343406242 | 3.25986343406242 |
148 | 12 | 17.4291204682336 | -5.42912046823356 |
149 | 14 | 14.1461602963893 | -0.146160296389311 |
150 | 11 | 13.1594271374496 | -2.15942713744955 |
151 | 14 | 13.8292889666508 | 0.170711033349214 |
152 | 8 | 20.1881295214837 | -12.1881295214837 |
153 | 12 | 18.0977848718506 | -6.09778487185056 |
154 | 6 | 16.3933329657405 | -10.3933329657405 |
155 | 5 | 50.2384699413155 | -45.2384699413155 |
156 | 3 | 11.4830987067367 | -8.4830987067367 |
Goldfeld-Quandt test for Heteroskedasticity | |||
p-values | Alternative Hypothesis | ||
breakpoint index | greater | 2-sided | less |
17 | 0.0368207209240702 | 0.0736414418481404 | 0.96317927907593 |
18 | 0.0486957145658643 | 0.0973914291317287 | 0.951304285434136 |
19 | 0.0179633921593415 | 0.0359267843186831 | 0.982036607840658 |
20 | 0.0071819397871367 | 0.0143638795742734 | 0.992818060212863 |
21 | 0.197794284405120 | 0.395588568810239 | 0.80220571559488 |
22 | 0.134382444346067 | 0.268764888692134 | 0.865617555653933 |
23 | 0.0819845653764255 | 0.163969130752851 | 0.918015434623574 |
24 | 0.0479999906800724 | 0.095999981360145 | 0.952000009319928 |
25 | 0.0271411740750152 | 0.0542823481500304 | 0.972858825924985 |
26 | 0.0154676340236894 | 0.0309352680473788 | 0.98453236597631 |
27 | 0.022869088376855 | 0.04573817675371 | 0.977130911623145 |
28 | 0.0128125149680664 | 0.0256250299361328 | 0.987187485031934 |
29 | 0.0074742423248124 | 0.0149484846496248 | 0.992525757675188 |
30 | 0.00428257014556094 | 0.00856514029112188 | 0.99571742985444 |
31 | 0.00337479701741827 | 0.00674959403483654 | 0.996625202982582 |
32 | 0.00215618608549602 | 0.00431237217099203 | 0.997843813914504 |
33 | 0.00109689252984151 | 0.00219378505968303 | 0.998903107470158 |
34 | 0.000541755056305739 | 0.00108351011261148 | 0.999458244943694 |
35 | 0.000274319872425151 | 0.000548639744850302 | 0.999725680127575 |
36 | 0.000131136540709278 | 0.000262273081418556 | 0.99986886345929 |
37 | 7.40280417108423e-05 | 0.000148056083421685 | 0.99992597195829 |
38 | 3.35438891355874e-05 | 6.70877782711749e-05 | 0.999966456110864 |
39 | 1.63966523136878e-05 | 3.27933046273757e-05 | 0.999983603347686 |
40 | 7.27345541745506e-06 | 1.45469108349101e-05 | 0.999992726544582 |
41 | 7.57175240829552e-06 | 1.51435048165910e-05 | 0.999992428247592 |
42 | 3.54765497799009e-06 | 7.09530995598019e-06 | 0.999996452345022 |
43 | 0.00238555569427737 | 0.00477111138855474 | 0.997614444305723 |
44 | 0.00190827121196919 | 0.00381654242393837 | 0.99809172878803 |
45 | 0.00146112507354777 | 0.00292225014709554 | 0.998538874926452 |
46 | 0.000883663170947149 | 0.00176732634189430 | 0.999116336829053 |
47 | 0.00200024467316507 | 0.00400048934633015 | 0.997999755326835 |
48 | 0.0173332378540361 | 0.0346664757080722 | 0.982666762145964 |
49 | 0.0120045515541600 | 0.0240091031083200 | 0.98799544844584 |
50 | 0.0551703565135198 | 0.110340713027040 | 0.94482964348648 |
51 | 0.0705769768846935 | 0.141153953769387 | 0.929423023115307 |
52 | 0.438858422586507 | 0.877716845173014 | 0.561141577413493 |
53 | 0.390470618469224 | 0.780941236938448 | 0.609529381530776 |
54 | 0.411635721298793 | 0.823271442597585 | 0.588364278701208 |
55 | 0.371353285753005 | 0.74270657150601 | 0.628646714246995 |
56 | 0.354591387431292 | 0.709182774862585 | 0.645408612568708 |
57 | 0.312286659630951 | 0.624573319261903 | 0.687713340369049 |
58 | 0.271587780880132 | 0.543175561760263 | 0.728412219119868 |
59 | 0.232385339626618 | 0.464770679253235 | 0.767614660373382 |
60 | 0.194434455792125 | 0.388868911584250 | 0.805565544207875 |
61 | 0.162116592688948 | 0.324233185377895 | 0.837883407311052 |
62 | 0.137450230561803 | 0.274900461123606 | 0.862549769438197 |
63 | 0.110732886103022 | 0.221465772206043 | 0.889267113896978 |
64 | 0.0881994201151212 | 0.176398840230242 | 0.911800579884879 |
65 | 0.0698918069574376 | 0.139783613914875 | 0.930108193042562 |
66 | 0.103626125132293 | 0.207252250264586 | 0.896373874867707 |
67 | 0.2641544410716 | 0.5283088821432 | 0.7358455589284 |
68 | 0.227864783828235 | 0.45572956765647 | 0.772135216171765 |
69 | 0.194223702413528 | 0.388447404827057 | 0.805776297586472 |
70 | 0.356148854694813 | 0.712297709389627 | 0.643851145305187 |
71 | 0.321937515839481 | 0.643875031678961 | 0.67806248416052 |
72 | 0.303049209878394 | 0.606098419756789 | 0.696950790121606 |
73 | 0.307873729820884 | 0.615747459641768 | 0.692126270179116 |
74 | 0.27738570505699 | 0.55477141011398 | 0.72261429494301 |
75 | 0.391282255569949 | 0.782564511139898 | 0.608717744430051 |
76 | 0.407141805155265 | 0.814283610310531 | 0.592858194844735 |
77 | 0.371313876603369 | 0.742627753206739 | 0.62868612339663 |
78 | 0.415548682228345 | 0.83109736445669 | 0.584451317771655 |
79 | 0.405955955625502 | 0.811911911251004 | 0.594044044374498 |
80 | 0.396958165526277 | 0.793916331052554 | 0.603041834473723 |
81 | 0.466846188233985 | 0.93369237646797 | 0.533153811766015 |
82 | 0.527858552198168 | 0.944282895603664 | 0.472141447801832 |
83 | 0.49813211000485 | 0.9962642200097 | 0.50186788999515 |
84 | 0.449723284817512 | 0.899446569635025 | 0.550276715182488 |
85 | 0.403366236194806 | 0.806732472389612 | 0.596633763805194 |
86 | 0.364024017685623 | 0.728048035371246 | 0.635975982314377 |
87 | 0.319256865158642 | 0.638513730317284 | 0.680743134841358 |
88 | 0.275649420374853 | 0.551298840749706 | 0.724350579625147 |
89 | 0.255104749495487 | 0.510209498990974 | 0.744895250504513 |
90 | 0.228089409038668 | 0.456178818077336 | 0.771910590961332 |
91 | 0.192387365010974 | 0.384774730021949 | 0.807612634989026 |
92 | 0.161603877122162 | 0.323207754244324 | 0.838396122877838 |
93 | 0.132366671824109 | 0.264733343648217 | 0.867633328175891 |
94 | 0.107403632401691 | 0.214807264803383 | 0.892596367598309 |
95 | 0.131809029063984 | 0.263618058127969 | 0.868190970936016 |
96 | 0.141734415514454 | 0.283468831028908 | 0.858265584485546 |
97 | 0.114684587758512 | 0.229369175517024 | 0.885315412241488 |
98 | 0.0930797372139033 | 0.186159474427807 | 0.906920262786097 |
99 | 0.075727601974108 | 0.151455203948216 | 0.924272398025892 |
100 | 0.05969615936175 | 0.1193923187235 | 0.94030384063825 |
101 | 0.0522553694066388 | 0.104510738813278 | 0.947744630593361 |
102 | 0.0960228104281153 | 0.192045620856231 | 0.903977189571885 |
103 | 0.0779938582258538 | 0.155987716451708 | 0.922006141774146 |
104 | 0.0732052232918423 | 0.146410446583685 | 0.926794776708158 |
105 | 0.157451986923239 | 0.314903973846479 | 0.84254801307676 |
106 | 0.13437647444688 | 0.26875294889376 | 0.86562352555312 |
107 | 0.113499720552726 | 0.226999441105451 | 0.886500279447274 |
108 | 0.161383279760884 | 0.322766559521768 | 0.838616720239116 |
109 | 0.147043476496657 | 0.294086952993313 | 0.852956523503343 |
110 | 0.122170955906622 | 0.244341911813245 | 0.877829044093378 |
111 | 0.247411176136255 | 0.49482235227251 | 0.752588823863745 |
112 | 0.372626595652876 | 0.745253191305751 | 0.627373404347124 |
113 | 0.318654227860676 | 0.637308455721352 | 0.681345772139324 |
114 | 0.389586338907093 | 0.779172677814187 | 0.610413661092907 |
115 | 0.513525373263644 | 0.972949253472712 | 0.486474626736356 |
116 | 0.695708436047174 | 0.608583127905651 | 0.304291563952826 |
117 | 0.736051746547485 | 0.527896506905029 | 0.263948253452515 |
118 | 0.982221078396045 | 0.0355578432079092 | 0.0177789216039546 |
119 | 0.98349364331553 | 0.03301271336894 | 0.01650635668447 |
120 | 0.999686280478192 | 0.000627439043616126 | 0.000313719521808063 |
121 | 0.9999918808912 | 1.62382175990573e-05 | 8.11910879952863e-06 |
122 | 0.999981988643163 | 3.60227136735071e-05 | 1.80113568367535e-05 |
123 | 0.99995550800732 | 8.89839853612628e-05 | 4.44919926806314e-05 |
124 | 0.999897936358055 | 0.000204127283889688 | 0.000102063641944844 |
125 | 0.999837885101874 | 0.000324229796252259 | 0.000162114898126129 |
126 | 0.999656023883102 | 0.000687952233796648 | 0.000343976116898324 |
127 | 0.99932122091268 | 0.00135755817463896 | 0.000678779087319482 |
128 | 0.998818929787244 | 0.00236214042551298 | 0.00118107021275649 |
129 | 0.997471148963396 | 0.00505770207320722 | 0.00252885103660361 |
130 | 0.998475890769088 | 0.00304821846182453 | 0.00152410923091227 |
131 | 0.999979052981592 | 4.18940368161043e-05 | 2.09470184080521e-05 |
132 | 0.99999997684531 | 4.63093783613257e-08 | 2.31546891806629e-08 |
133 | 0.999999808737812 | 3.82524376720981e-07 | 1.91262188360490e-07 |
134 | 0.999999052110464 | 1.8957790712539e-06 | 9.4788953562695e-07 |
135 | 0.99999614033055 | 7.71933889966302e-06 | 3.85966944983151e-06 |
136 | 0.9999987342436 | 2.53151279910016e-06 | 1.26575639955008e-06 |
137 | 0.999987120642577 | 2.57587148469673e-05 | 1.28793574234836e-05 |
138 | 0.999888605253461 | 0.000222789493077047 | 0.000111394746538524 |
139 | 0.998707379651552 | 0.00258524069689637 | 0.00129262034844818 |
Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity | |||
Description | # significant tests | % significant tests | OK/NOK |
1% type I error level | 38 | 0.308943089430894 | NOK |
5% type I error level | 48 | 0.390243902439024 | NOK |
10% type I error level | 52 | 0.422764227642276 | NOK |