Multiple Linear Regression - Estimated Regression Equation |
CoM[t] = + 13.6486392323600 -0.745977696548505GENDER[t] + 0.583058986338514PersSt[t] -0.087313326112899Popularity[t] -0.135563432124363FindFrie[t] -0.158138000123378`Liked `[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) | 13.6486392323600 | 4.158206 | 3.2823 | 0.001281 | 0.00064 |
GENDER | -0.745977696548505 | 0.864467 | -0.8629 | 0.389552 | 0.194776 |
PersSt | 0.583058986338514 | 0.099148 | 5.8807 | 0 | 0 |
Popularity | -0.087313326112899 | 0.17293 | -0.5049 | 0.614366 | 0.307183 |
FindFrie | -0.135563432124363 | 0.237003 | -0.572 | 0.568184 | 0.284092 |
`Liked ` | -0.158138000123378 | 0.231885 | -0.682 | 0.496312 | 0.248156 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 0.460249477153909 |
R-squared | 0.211829581220446 |
Adjusted R-squared | 0.185557233927794 |
F-TEST (value) | 8.06283423634909 |
F-TEST (DF numerator) | 5 |
F-TEST (DF denominator) | 150 |
p-value | 9.26157895819735e-07 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 5.14761948252781 |
Sum Squared Residuals | 3974.69795053498 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
1 | 24 | 21.9428853492475 | 2.05711465075250 |
2 | 25 | 22.7488210938232 | 2.25117890617675 |
3 | 17 | 25.1988889110557 | -8.19888891105572 |
4 | 18 | 20.5612731688371 | -2.56127316883714 |
5 | 18 | 21.761673651529 | -3.76167365152899 |
6 | 16 | 21.1577821349311 | -5.15778213493108 |
7 | 20 | 21.5606276827433 | -1.56062768274330 |
8 | 16 | 22.1609190997317 | -6.16091909973167 |
9 | 18 | 17.9262112029918 | 0.0737887970082426 |
10 | 17 | 21.9498310678218 | -4.94983106782178 |
11 | 23 | 20.8745642232007 | 2.12543577679927 |
12 | 30 | 19.4959185020284 | 10.5040814979716 |
13 | 23 | 17.8541083810190 | 5.14589161898096 |
14 | 18 | 17.8248679832158 | 0.175132016784232 |
15 | 15 | 21.3988895830104 | -6.39888958301039 |
16 | 12 | 25.0645060894084 | -13.0645060894084 |
17 | 21 | 22.0783864837054 | -1.07838648370539 |
18 | 15 | 15.8216950236280 | -0.821695023628023 |
19 | 20 | 22.6883639161999 | -2.68836391619988 |
20 | 31 | 23.1006762386922 | 7.89932376130781 |
21 | 27 | 22.8226844401807 | 4.17731555981929 |
22 | 34 | 19.9739326020081 | 14.0260673979919 |
23 | 21 | 19.9477579343996 | 1.05224206560044 |
24 | 31 | 18.9836841897004 | 12.0163158102996 |
25 | 19 | 20.4048772064534 | -1.40487720645338 |
26 | 16 | 20.9819125745618 | -4.98191257456175 |
27 | 20 | 23.5760262005881 | -3.57602620058806 |
28 | 21 | 19.5472695780533 | 1.45273042194666 |
29 | 22 | 22.3270010776215 | -0.327001077621547 |
30 | 17 | 21.2382305267812 | -4.23823052678124 |
31 | 24 | 23.7233246325760 | 0.276675367424035 |
32 | 25 | 24.348984640959 | 0.651015359041007 |
33 | 26 | 24.5901543867048 | 1.40984561329525 |
34 | 25 | 27.4598010528032 | -2.4598010528032 |
35 | 17 | 24.0730147689572 | -7.0730147689572 |
36 | 32 | 25.2970688631518 | 6.70293113684818 |
37 | 33 | 24.9276997491405 | 8.07230025085946 |
38 | 13 | 20.3153227130048 | -7.31532271300477 |
39 | 32 | 24.5462481588503 | 7.45375184114975 |
40 | 25 | 25.1389308630284 | -0.138930863028443 |
41 | 29 | 23.9032311244845 | 5.09676887551553 |
42 | 22 | 23.2098474121044 | -1.20984741210440 |
43 | 18 | 17.4437909271887 | 0.556209072811322 |
44 | 17 | 24.1377535270711 | -7.13775352707109 |
45 | 20 | 23.7128948385224 | -3.7128948385224 |
46 | 15 | 19.4616982896801 | -4.46169828968007 |
47 | 20 | 18.2082669908901 | 1.79173300910986 |
48 | 33 | 27.4761736807753 | 5.52382631922466 |
49 | 29 | 23.1463245042863 | 5.85367549571369 |
50 | 23 | 22.9330714638887 | 0.06692853611128 |
51 | 26 | 21.757329773372 | 4.24267022662798 |
52 | 18 | 22.4094090983149 | -4.40940909831494 |
53 | 20 | 20.4213658585558 | -0.421365858555804 |
54 | 11 | 17.2674845348897 | -6.26748453488971 |
55 | 28 | 26.0999036377142 | 1.90009636228584 |
56 | 26 | 22.3013255396091 | 3.69867446039090 |
57 | 22 | 23.9840217027711 | -1.98402170277113 |
58 | 17 | 21.7487850990361 | -4.74878509903609 |
59 | 12 | 21.9141625676854 | -9.91416256768541 |
60 | 14 | 15.8925196976385 | -1.89251969763850 |
61 | 17 | 23.5064444347211 | -6.50644443472111 |
62 | 21 | 22.4043484994583 | -1.40434849945826 |
63 | 19 | 22.5559637517554 | -3.5559637517554 |
64 | 18 | 21.6357962349107 | -3.63579623491074 |
65 | 10 | 20.0772354506273 | -10.0772354506273 |
66 | 29 | 26.8185260561770 | 2.18147394382296 |
67 | 31 | 21.245095461044 | 9.75490453895602 |
68 | 19 | 24.7317414370593 | -5.73174143705926 |
69 | 9 | 18.9885271974535 | -9.98852719745347 |
70 | 20 | 25.0999692099003 | -5.09996920990034 |
71 | 28 | 20.4531273124649 | 7.54687268753515 |
72 | 19 | 20.3292718223563 | -1.32927182235629 |
73 | 30 | 23.9796778246142 | 6.02032217538584 |
74 | 29 | 22.5968227360603 | 6.40317726393971 |
75 | 26 | 23.7659256546205 | 2.23407434537952 |
76 | 23 | 19.8335261621307 | 3.16647383786932 |
77 | 13 | 20.4391597164682 | -7.4391597164682 |
78 | 21 | 21.5418978633052 | -0.541897863305159 |
79 | 19 | 21.9959161653455 | -2.99591616534555 |
80 | 28 | 24.3349547472959 | 3.6650452527041 |
81 | 23 | 24.0895034210596 | -1.08950342105963 |
82 | 18 | 18.8812411437589 | -0.881241143758895 |
83 | 21 | 19.4829676518691 | 1.5170323481309 |
84 | 20 | 23.3527126104212 | -3.35271261042115 |
85 | 23 | 19.3212918498026 | 3.67870815019736 |
86 | 21 | 20.6020784266782 | 0.397921573321803 |
87 | 21 | 24.2037974909950 | -3.20379749099496 |
88 | 15 | 21.9442442815213 | -6.94424428152128 |
89 | 28 | 23.3849731939263 | 4.61502680607371 |
90 | 19 | 18.5526772875887 | 0.447322712411326 |
91 | 26 | 17.5708719826436 | 8.42912801735643 |
92 | 10 | 19.2443812598956 | -9.24438125989557 |
93 | 16 | 17.2606818982934 | -1.26068189829341 |
94 | 22 | 21.0088310207177 | 0.991168979282265 |
95 | 19 | 20.7102865807169 | -1.71028658071693 |
96 | 31 | 27.3211366506654 | 3.6788633493346 |
97 | 31 | 21.4436556135426 | 9.5563443864574 |
98 | 29 | 21.8506667177151 | 7.14933328228494 |
99 | 19 | 19.7266769403657 | -0.72667694036575 |
100 | 22 | 18.5800948633408 | 3.41990513665925 |
101 | 23 | 21.6405769449974 | 1.35942305500264 |
102 | 15 | 18.5849378710938 | -3.58493787109381 |
103 | 20 | 19.3430603415878 | 0.656939658412232 |
104 | 18 | 20.7750253388308 | -2.77502533883082 |
105 | 23 | 22.0235513322012 | 0.976448667798765 |
106 | 25 | 17.2997451183948 | 7.70025488160516 |
107 | 21 | 19.9464527285896 | 1.05354727141042 |
108 | 24 | 19.6411056519925 | 4.35889434800752 |
109 | 25 | 21.4618863033846 | 3.53811369661535 |
110 | 17 | 17.6290256952648 | -0.629025695264763 |
111 | 13 | 16.5354744343378 | -3.53547443433784 |
112 | 28 | 19.2096619179511 | 8.7903380820489 |
113 | 21 | 22.2530754335976 | -1.25307543359763 |
114 | 25 | 28.8344860012843 | -3.83448600128434 |
115 | 9 | 24.3447030604685 | -15.3447030604685 |
116 | 16 | 20.0447572760186 | -4.04475727601858 |
117 | 19 | 22.2414297892483 | -3.24142978924827 |
118 | 17 | 19.4464254878734 | -2.44642548787344 |
119 | 25 | 21.4128571790070 | 3.58714282099297 |
120 | 20 | 15.8711880377830 | 4.12881196221698 |
121 | 29 | 23.3318800801618 | 5.66811991983824 |
122 | 14 | 18.2034239831371 | -4.20342398313708 |
123 | 22 | 23.3917758305226 | -1.39177583052259 |
124 | 15 | 19.4525114037700 | -4.45251140377004 |
125 | 19 | 19.4890535677657 | -0.489053567765694 |
126 | 20 | 20.2584471483458 | -0.258447148345814 |
127 | 15 | 20.1759768299860 | -5.17597682998598 |
128 | 20 | 22.1657621074847 | -2.16576210748473 |
129 | 18 | 21.6339918995047 | -3.63399189950467 |
130 | 33 | 26.7418601152213 | 6.25813988477869 |
131 | 22 | 21.342094802663 | 0.657905197336996 |
132 | 16 | 18.1208913671108 | -2.12089136711079 |
133 | 17 | 22.0288934695504 | -5.02889346955039 |
134 | 16 | 18.1282554309696 | -2.12825543096963 |
135 | 21 | 17.8271899348631 | 3.17281006513695 |
136 | 26 | 24.0778577767103 | 1.92214222328973 |
137 | 18 | 19.0532659555674 | -1.05326595556735 |
138 | 18 | 21.0112897791571 | -3.01128977915707 |
139 | 17 | 20.2350935619806 | -3.23509356198065 |
140 | 22 | 21.1126329989331 | 0.887367001066946 |
141 | 30 | 22.4642442498191 | 7.53575575018091 |
142 | 30 | 24.8356057129410 | 5.16439428705897 |
143 | 24 | 20.4262088663089 | 3.57379113369113 |
144 | 21 | 22.1439313180332 | -1.14393131803316 |
145 | 21 | 21.5827031211462 | -0.58270312114622 |
146 | 29 | 24.6999799831502 | 4.30002001684978 |
147 | 31 | 23.6859140947000 | 7.31408590530003 |
148 | 20 | 20.6142232006236 | -0.614223200623649 |
149 | 16 | 13.7184217524078 | 2.28157824759218 |
150 | 22 | 19.1679968574323 | 2.83200314256767 |
151 | 20 | 24.1261078827217 | -4.12610788272173 |
152 | 28 | 21.342094802663 | 6.657905197337 |
153 | 38 | 25.6366984497637 | 12.3633015502363 |
154 | 22 | 19.0306913875683 | 2.96930861243166 |
155 | 20 | 22.2848368875067 | -2.28483688750668 |
156 | 17 | 19.2278926077931 | -2.22789260779315 |
Goldfeld-Quandt test for Heteroskedasticity | |||
p-values | Alternative Hypothesis | ||
breakpoint index | greater | 2-sided | less |
9 | 0.449149843603004 | 0.898299687206009 | 0.550850156396996 |
10 | 0.310175664966469 | 0.620351329932939 | 0.68982433503353 |
11 | 0.364590846620064 | 0.729181693240127 | 0.635409153379936 |
12 | 0.69739353688798 | 0.605212926224039 | 0.302606463112020 |
13 | 0.59582995960866 | 0.80834008078268 | 0.40417004039134 |
14 | 0.523893485072347 | 0.952213029855307 | 0.476106514927653 |
15 | 0.50422347907114 | 0.99155304185772 | 0.49577652092886 |
16 | 0.477048619221325 | 0.95409723844265 | 0.522951380778675 |
17 | 0.445533958048086 | 0.891067916096171 | 0.554466041951914 |
18 | 0.563408872257626 | 0.873182255484747 | 0.436591127742374 |
19 | 0.483877293064469 | 0.967754586128938 | 0.516122706935531 |
20 | 0.677518591517262 | 0.644962816965477 | 0.322481408482738 |
21 | 0.69063373660551 | 0.61873252678898 | 0.30936626339449 |
22 | 0.93177439288514 | 0.136451214229719 | 0.0682256071148595 |
23 | 0.90577393008262 | 0.188452139834759 | 0.0942260699173795 |
24 | 0.960477656544275 | 0.0790446869114502 | 0.0395223434557251 |
25 | 0.944422830464106 | 0.111154339071789 | 0.0555771695358943 |
26 | 0.942666121880165 | 0.114667756239670 | 0.0573338781198348 |
27 | 0.924552077747891 | 0.150895844504218 | 0.0754479222521089 |
28 | 0.903208823992572 | 0.193582352014856 | 0.096791176007428 |
29 | 0.873480297558236 | 0.253039404883528 | 0.126519702441764 |
30 | 0.847149058868341 | 0.305701882263318 | 0.152850941131659 |
31 | 0.815104956191173 | 0.369790087617655 | 0.184895043808827 |
32 | 0.804407288339321 | 0.391185423321357 | 0.195592711660679 |
33 | 0.798450527884033 | 0.403098944231934 | 0.201549472115967 |
34 | 0.761720400733752 | 0.476559198532496 | 0.238279599266248 |
35 | 0.747360544510943 | 0.505278910978114 | 0.252639455489057 |
36 | 0.843541850512588 | 0.312916298974824 | 0.156458149487412 |
37 | 0.916622689559555 | 0.166754620880891 | 0.0833773104404453 |
38 | 0.934602284685727 | 0.130795430628545 | 0.0653977153142727 |
39 | 0.951695682292024 | 0.0966086354159522 | 0.0483043177079761 |
40 | 0.936530197802065 | 0.126939604395871 | 0.0634698021979354 |
41 | 0.93811787036936 | 0.123764259261281 | 0.0618821296306405 |
42 | 0.922050873170317 | 0.155898253659365 | 0.0779491268296826 |
43 | 0.90205522148358 | 0.195889557032839 | 0.0979447785164195 |
44 | 0.90604346365224 | 0.187913072695520 | 0.0939565363477602 |
45 | 0.891181788269272 | 0.217636423461457 | 0.108818211730729 |
46 | 0.898246539237701 | 0.203506921524597 | 0.101753460762299 |
47 | 0.875452115501979 | 0.249095768996042 | 0.124547884498021 |
48 | 0.89441943828501 | 0.211161123429978 | 0.105580561714989 |
49 | 0.899956216236305 | 0.200087567527391 | 0.100043783763695 |
50 | 0.87592390089626 | 0.248152198207481 | 0.124076099103741 |
51 | 0.864394641946146 | 0.271210716107707 | 0.135605358053854 |
52 | 0.85109968628666 | 0.297800627426679 | 0.148900313713340 |
53 | 0.820426190854944 | 0.359147618290113 | 0.179573809145057 |
54 | 0.837629793738342 | 0.324740412523316 | 0.162370206261658 |
55 | 0.81035357736533 | 0.379292845269341 | 0.189646422634671 |
56 | 0.791008288167243 | 0.417983423665515 | 0.208991711832757 |
57 | 0.759031546694227 | 0.481936906611545 | 0.240968453305773 |
58 | 0.759603463272288 | 0.480793073455425 | 0.240396536727712 |
59 | 0.832923145574848 | 0.334153708850305 | 0.167076854425152 |
60 | 0.808552614920142 | 0.382894770159716 | 0.191447385079858 |
61 | 0.820724021181165 | 0.358551957637669 | 0.179275978818834 |
62 | 0.79057423814451 | 0.41885152371098 | 0.20942576185549 |
63 | 0.773637660815885 | 0.452724678368230 | 0.226362339184115 |
64 | 0.758885007718297 | 0.482229984563405 | 0.241114992281702 |
65 | 0.84551944736446 | 0.308961105271082 | 0.154480552635541 |
66 | 0.820777072751557 | 0.358445854496885 | 0.179222927248443 |
67 | 0.889805091768424 | 0.220389816463152 | 0.110194908231576 |
68 | 0.896236540653996 | 0.207526918692007 | 0.103763459346003 |
69 | 0.94638684316408 | 0.107226313671839 | 0.0536131568359194 |
70 | 0.949563179704243 | 0.100873640591513 | 0.0504368202957566 |
71 | 0.961045679247015 | 0.0779086415059708 | 0.0389543207529854 |
72 | 0.950917495062785 | 0.0981650098744298 | 0.0490825049372149 |
73 | 0.956170597084793 | 0.0876588058304136 | 0.0438294029152068 |
74 | 0.963736743401594 | 0.0725265131968117 | 0.0362632565984058 |
75 | 0.955408828246482 | 0.0891823435070361 | 0.0445911717535181 |
76 | 0.947725502602412 | 0.104548994795177 | 0.0522744973975885 |
77 | 0.961992006461092 | 0.0760159870778155 | 0.0380079935389078 |
78 | 0.951182861333833 | 0.0976342773323345 | 0.0488171386661673 |
79 | 0.943909218252887 | 0.112181563494226 | 0.0560907817471131 |
80 | 0.937095850910504 | 0.125808298178992 | 0.0629041490894958 |
81 | 0.924943359711019 | 0.150113280577962 | 0.0750566402889811 |
82 | 0.907240198126503 | 0.185519603746993 | 0.0927598018734967 |
83 | 0.887451474220757 | 0.225097051558486 | 0.112548525779243 |
84 | 0.875543564331595 | 0.248912871336810 | 0.124456435668405 |
85 | 0.861248956385484 | 0.277502087229032 | 0.138751043614516 |
86 | 0.834957265245764 | 0.330085469508471 | 0.165042734754236 |
87 | 0.822991981746708 | 0.354016036506584 | 0.177008018253292 |
88 | 0.84889477679186 | 0.302210446416280 | 0.151105223208140 |
89 | 0.84537205300792 | 0.309255893984159 | 0.154627946992079 |
90 | 0.816138108269137 | 0.367723783461727 | 0.183861891730863 |
91 | 0.871329423681885 | 0.25734115263623 | 0.128670576318115 |
92 | 0.92550928142583 | 0.148981437148341 | 0.0744907185741704 |
93 | 0.908159865930719 | 0.183680268138563 | 0.0918401340692813 |
94 | 0.88718300895334 | 0.225633982093321 | 0.112816991046660 |
95 | 0.867018442757499 | 0.265963114485003 | 0.132981557242501 |
96 | 0.850786774689867 | 0.298426450620265 | 0.149213225310133 |
97 | 0.908383231224314 | 0.183233537551372 | 0.091616768775686 |
98 | 0.914007462459829 | 0.171985075080343 | 0.0859925375401715 |
99 | 0.89491195093965 | 0.2101760981207 | 0.10508804906035 |
100 | 0.880880191126805 | 0.238239617746389 | 0.119119808873195 |
101 | 0.855902752778525 | 0.28819449444295 | 0.144097247221475 |
102 | 0.83812340075783 | 0.323753198484339 | 0.161876599242170 |
103 | 0.805407241248054 | 0.389185517503893 | 0.194592758751946 |
104 | 0.782594023532291 | 0.434811952935417 | 0.217405976467709 |
105 | 0.755268946145143 | 0.489462107709715 | 0.244731053854857 |
106 | 0.818334063050485 | 0.36333187389903 | 0.181665936949515 |
107 | 0.785268628021567 | 0.429462743956865 | 0.214731371978433 |
108 | 0.769935395306455 | 0.460129209387089 | 0.230064604693545 |
109 | 0.742489085632706 | 0.515021828734589 | 0.257510914367294 |
110 | 0.704288750185034 | 0.591422499629933 | 0.295711249814966 |
111 | 0.692937966584408 | 0.614124066831185 | 0.307062033415592 |
112 | 0.761707429800842 | 0.476585140398315 | 0.238292570199158 |
113 | 0.720804670716655 | 0.55839065856669 | 0.279195329283345 |
114 | 0.701553713324773 | 0.596892573350454 | 0.298446286675227 |
115 | 0.960917619586651 | 0.0781647608266971 | 0.0390823804133485 |
116 | 0.957170292495802 | 0.0856594150083952 | 0.0428297075041976 |
117 | 0.955122557232714 | 0.0897548855345717 | 0.0448774427672859 |
118 | 0.942262128113584 | 0.115475743772832 | 0.057737871886416 |
119 | 0.929900440659942 | 0.140199118680115 | 0.0700995593400577 |
120 | 0.940969109165244 | 0.118061781669511 | 0.0590308908347557 |
121 | 0.93635177541822 | 0.127296449163562 | 0.0636482245817809 |
122 | 0.925374128816836 | 0.149251742366327 | 0.0746258711831637 |
123 | 0.912074081433844 | 0.175851837132312 | 0.0879259185661562 |
124 | 0.907125762683583 | 0.185748474632833 | 0.0928742373164166 |
125 | 0.877032982975456 | 0.245934034049088 | 0.122967017024544 |
126 | 0.841138047213152 | 0.317723905573697 | 0.158861952786848 |
127 | 0.858440369188894 | 0.283119261622212 | 0.141559630811106 |
128 | 0.848465742840752 | 0.303068514318496 | 0.151534257159248 |
129 | 0.861680296082617 | 0.276639407834765 | 0.138319703917383 |
130 | 0.84091248429131 | 0.31817503141738 | 0.15908751570869 |
131 | 0.801222261869934 | 0.397555476260133 | 0.198777738130066 |
132 | 0.748928197776579 | 0.502143604446842 | 0.251071802223421 |
133 | 0.865097170276716 | 0.269805659446568 | 0.134902829723284 |
134 | 0.829691395012636 | 0.340617209974728 | 0.170308604987364 |
135 | 0.823288063498986 | 0.353423873002029 | 0.176711936501014 |
136 | 0.76521040763914 | 0.46957918472172 | 0.23478959236086 |
137 | 0.708820143726534 | 0.582359712546933 | 0.291179856273466 |
138 | 0.759584393467222 | 0.480831213065556 | 0.240415606532778 |
139 | 0.686322647804708 | 0.627354704390584 | 0.313677352195292 |
140 | 0.675605966398197 | 0.648788067203605 | 0.324394033601802 |
141 | 0.733831155396905 | 0.532337689206189 | 0.266168844603095 |
142 | 0.644604198060763 | 0.710791603878475 | 0.355395801939238 |
143 | 0.607584542229154 | 0.784830915541693 | 0.392415457770846 |
144 | 0.502692480073742 | 0.994615039852516 | 0.497307519926258 |
145 | 0.462013750911528 | 0.924027501823056 | 0.537986249088472 |
146 | 0.376875889746633 | 0.753751779493266 | 0.623124110253367 |
147 | 0.311058583670905 | 0.62211716734181 | 0.688941416329095 |
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 | 12 | 0.0863309352517986 | OK |