Multiple Linear Regression - Estimated Regression Equation |
gender[t] = + 1.08151766603924 -0.00662196627596676CoM[t] -0.00894811157503866PersSt[t] + 0.027465763686152Popularity[t] -0.0223949691901545FindFrie[t] -0.0158619397694246`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) | 1.08151766603924 | 0.395871 | 2.732 | 0.007051 | 0.003526 |
CoM | -0.00662196627596676 | 0.007674 | -0.8629 | 0.389552 | 0.194776 |
PersSt | -0.00894811157503866 | 0.010337 | -0.8657 | 0.388058 | 0.194029 |
Popularity | 0.027465763686152 | 0.016152 | 1.7005 | 0.091115 | 0.045558 |
FindFrie | -0.0223949691901545 | 0.022279 | -1.0052 | 0.31642 | 0.15821 |
`Liked ` | -0.0158619397694246 | 0.021843 | -0.7262 | 0.468862 | 0.234431 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 0.210758878378947 |
R-squared | 0.0444193048155517 |
Adjusted R-squared | 0.0125666149760699 |
F-TEST (value) | 1.39452288140808 |
F-TEST (DF numerator) | 5 |
F-TEST (DF denominator) | 150 |
p-value | 0.22948484947114 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 0.48499470453812 |
Sum Squared Residuals | 35.2829795145027 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
1 | 1 | 0.567550909060556 | 0.432449090939444 |
2 | 1 | 0.546910036713553 | 0.453089963286447 |
3 | 1 | 0.634746619176585 | 0.365253380823415 |
4 | 0 | 0.72999931743544 | -0.72999931743544 |
5 | 1 | 0.64169042591729 | 0.35830957408271 |
6 | 1 | 0.649214007691794 | 0.350785992308206 |
7 | 1 | 0.560712491114565 | 0.439287508885435 |
8 | 1 | 0.573730544827724 | 0.426269455172276 |
9 | 1 | 0.648986753476205 | 0.351013246523795 |
10 | 1 | 0.806030023753915 | 0.193969976246085 |
11 | 0 | 0.727279719591223 | -0.727279719591223 |
12 | 1 | 0.555885050867224 | 0.444114949132776 |
13 | 0 | 0.786151224803333 | -0.786151224803333 |
14 | 1 | 0.507539987779024 | 0.492460012220976 |
15 | 1 | 0.558770220556837 | 0.441229779443163 |
16 | 0 | 0.61935749100374 | -0.61935749100374 |
17 | 0 | 0.561172648939656 | -0.561172648939656 |
18 | 1 | 0.74129960405283 | 0.258700395947170 |
19 | 0 | 0.637775403714051 | -0.637775403714051 |
20 | 1 | 0.503978605580539 | 0.496021394419461 |
21 | 0 | 0.591281471196008 | -0.591281471196008 |
22 | 1 | 0.596173167239768 | 0.403826832760232 |
23 | 1 | 0.669601596079928 | 0.330398403920072 |
24 | 1 | 0.601538899621872 | 0.398461100378128 |
25 | 0 | 0.68631391961685 | -0.68631391961685 |
26 | 1 | 0.681610397287668 | 0.318389602712332 |
27 | 0 | 0.488293666686236 | -0.488293666686236 |
28 | 1 | 0.728270271944997 | 0.271729728055003 |
29 | 1 | 0.654512778603683 | 0.345487221396317 |
30 | 0 | 0.720731216621586 | -0.720731216621586 |
31 | 1 | 0.705097403903103 | 0.294902596096897 |
32 | 0 | 0.582751863518823 | -0.582751863518823 |
33 | 1 | 0.527703271970886 | 0.472296728029114 |
34 | 1 | 0.546387368762748 | 0.453612631237252 |
35 | 0 | 0.54921235540168 | -0.54921235540168 |
36 | 0 | 0.565297970877544 | -0.565297970877544 |
37 | 0 | 0.435366092241853 | -0.435366092241853 |
38 | 0 | 0.81844960228163 | -0.81844960228163 |
39 | 1 | 0.523572670932976 | 0.476427329067024 |
40 | 0 | 0.595789795039887 | -0.595789795039887 |
41 | 0 | 0.566405587406951 | -0.566405587406951 |
42 | 1 | 0.748082013709222 | 0.251917986290778 |
43 | 0 | 0.448109714366642 | -0.448109714366642 |
44 | 0 | 0.528279621136258 | -0.528279621136258 |
45 | 1 | 0.581862901791775 | 0.418137098208225 |
46 | 1 | 0.774266341513752 | 0.225733658486248 |
47 | 1 | 0.786518496970147 | 0.213481503029853 |
48 | 1 | 0.361025025698751 | 0.638974974301249 |
49 | 1 | 0.460419849741384 | 0.539580150258616 |
50 | 0 | 0.540033913643364 | -0.540033913643364 |
51 | 1 | 0.503252766215359 | 0.496747233784641 |
52 | 0 | 0.563170451937875 | -0.563170451937875 |
53 | 0 | 0.608898486199155 | -0.608898486199155 |
54 | 1 | 0.619235625582866 | 0.380764374417134 |
55 | 0 | 0.514840138192609 | -0.514840138192609 |
56 | 1 | 0.571631151202779 | 0.428368848797221 |
57 | 1 | 0.61340890762015 | 0.386591092379849 |
58 | 1 | 0.738296021503123 | 0.261703978496877 |
59 | 0 | 0.540647967932934 | -0.540647967932934 |
60 | 1 | 0.791249273784374 | 0.208750726215626 |
61 | 0 | 0.48736699983499 | -0.48736699983499 |
62 | 0 | 0.676347128367642 | -0.676347128367642 |
63 | 1 | 0.733568320656584 | 0.266431679343416 |
64 | 1 | 0.702746056616272 | 0.297253943383728 |
65 | 1 | 0.700577756584718 | 0.299422243415282 |
66 | 0 | 0.521665029531758 | -0.521665029531758 |
67 | 1 | 0.522418749866141 | 0.477581250133859 |
68 | 0 | 0.612073314674852 | -0.612073314674852 |
69 | 1 | 0.788947457637709 | 0.211052542362291 |
70 | 0 | 0.46986510206541 | -0.46986510206541 |
71 | 0 | 0.676576956009456 | -0.676576956009456 |
72 | 1 | 0.64990004435566 | 0.35009995564434 |
73 | 1 | 0.47497124791822 | 0.52502875208178 |
74 | 0 | 0.58177468713684 | -0.58177468713684 |
75 | 0 | 0.585078008817895 | -0.585078008817895 |
76 | 1 | 0.60489452714068 | 0.395105472859320 |
77 | 1 | 0.655633048904579 | 0.344366951095421 |
78 | 1 | 0.689822113303154 | 0.310177886696846 |
79 | 0 | 0.64360764512231 | -0.64360764512231 |
80 | 0 | 0.393973435307590 | -0.393973435307590 |
81 | 0 | 0.438687090604151 | -0.438687090604151 |
82 | 1 | 0.870011975528285 | 0.129988024471715 |
83 | 0 | 0.656827248521837 | -0.656827248521837 |
84 | 1 | 0.585740218870816 | 0.414259781129184 |
85 | 1 | 0.657170342171295 | 0.342829657828705 |
86 | 0 | 0.611605430271883 | -0.611605430271883 |
87 | 1 | 0.552033287682353 | 0.447966712317647 |
88 | 1 | 0.711276889035221 | 0.288723110964779 |
89 | 1 | 0.609682059131488 | 0.390317940868512 |
90 | 1 | 0.641552108556938 | 0.358447891443062 |
91 | 1 | 0.64161364029208 | 0.35838635970792 |
92 | 1 | 0.635667762582288 | 0.364332237417712 |
93 | 1 | 0.740369861233897 | 0.259630138766103 |
94 | 1 | 0.720807499705334 | 0.279192500294666 |
95 | 1 | 0.660691189629087 | 0.339308810370913 |
96 | 1 | 0.421333810199027 | 0.578666189800973 |
97 | 1 | 0.545082476564071 | 0.454917523435929 |
98 | 0 | 0.471542413283351 | -0.471542413283351 |
99 | 0 | 0.679668848930241 | -0.679668848930241 |
100 | 1 | 0.656878480252876 | 0.343121519747124 |
101 | 0 | 0.662722397042052 | -0.662722397042052 |
102 | 1 | 0.744957544129211 | 0.255042455870789 |
103 | 0 | 0.555592316113452 | -0.555592316113452 |
104 | 1 | 0.646380421639632 | 0.353619578360368 |
105 | 0 | 0.477544175340046 | -0.477544175340046 |
106 | 1 | 0.603445668187738 | 0.396554331812262 |
107 | 0 | 0.598427330164544 | -0.598427330164544 |
108 | 0 | 0.652823289463361 | -0.652823289463361 |
109 | 1 | 0.492819315304945 | 0.507180684695055 |
110 | 1 | 0.659754794338989 | 0.340245205661011 |
111 | 1 | 0.726265094275312 | 0.273734905724688 |
112 | 1 | 0.679260795671541 | 0.320739204328459 |
113 | 1 | 0.554880249706307 | 0.445119750293693 |
114 | 0 | 0.480636568796621 | -0.480636568796621 |
115 | 1 | 0.651880522579048 | 0.348119477420952 |
116 | 1 | 0.758696263662746 | 0.241303736337254 |
117 | 1 | 0.680642949344537 | 0.319357050655463 |
118 | 1 | 0.569574741802054 | 0.430425258197946 |
119 | 0 | 0.612823959041548 | -0.612823959041548 |
120 | 1 | 0.780585643325734 | 0.219414356674266 |
121 | 1 | 0.511474060034647 | 0.488525939965353 |
122 | 1 | 0.78452499468138 | 0.215475005318620 |
123 | 1 | 0.495169789756424 | 0.504830210243576 |
124 | 1 | 0.647079112074987 | 0.352920887925013 |
125 | 0 | 0.734331618794769 | -0.734331618794769 |
126 | 1 | 0.599950374624117 | 0.400049625375883 |
127 | 1 | 0.702251269634671 | 0.297748730365329 |
128 | 1 | 0.588967979668425 | 0.411032020331575 |
129 | 0 | 0.675308420250516 | -0.675308420250516 |
130 | 0 | 0.497597420127003 | -0.497597420127003 |
131 | 1 | 0.638001282552826 | 0.361998717447174 |
132 | 0 | 0.791832997621212 | -0.791832997621212 |
133 | 0 | 0.515264643390786 | -0.515264643390786 |
134 | 1 | 0.642491429179673 | 0.357508570820327 |
135 | 0 | 0.720466257281799 | -0.720466257281799 |
136 | 0 | 0.531339958862547 | -0.531339958862547 |
137 | 1 | 0.708417026888586 | 0.291582973111414 |
138 | 1 | 0.507589368284139 | 0.492410631715861 |
139 | 0 | 0.796214679485656 | -0.796214679485656 |
140 | 1 | 0.622548268877454 | 0.377451731122546 |
141 | 0 | 0.554091397673951 | -0.554091397673951 |
142 | 1 | 0.489611582950292 | 0.510388417049708 |
143 | 0 | 0.624135921039856 | -0.624135921039856 |
144 | 1 | 0.655150810139247 | 0.344849189860753 |
145 | 1 | 0.591294124967497 | 0.408705875032503 |
146 | 0 | 0.42519945189715 | -0.42519945189715 |
147 | 0 | 0.381453244543720 | -0.381453244543720 |
148 | 0 | 0.461971999911925 | -0.461971999911925 |
149 | 1 | 0.82965972730202 | 0.170340272697980 |
150 | 1 | 0.689655668622405 | 0.310344331377595 |
151 | 0 | 0.620932489394654 | -0.620932489394654 |
152 | 1 | 0.598269484897025 | 0.401730515102975 |
153 | 1 | 0.380891646726953 | 0.619108353273047 |
154 | 1 | 0.688462191205449 | 0.311537808794551 |
155 | 1 | 0.682156416000308 | 0.317843583999692 |
156 | 1 | 0.660107465792249 | 0.339892534207751 |
Goldfeld-Quandt test for Heteroskedasticity | |||
p-values | Alternative Hypothesis | ||
breakpoint index | greater | 2-sided | less |
9 | 0.269344119896837 | 0.538688239793673 | 0.730655880103163 |
10 | 0.401481700012637 | 0.802963400025275 | 0.598518299987363 |
11 | 0.281572464102914 | 0.563144928205828 | 0.718427535897086 |
12 | 0.203088488774319 | 0.406176977548637 | 0.796911511225681 |
13 | 0.194537410042627 | 0.389074820085254 | 0.805462589957373 |
14 | 0.127564434969883 | 0.255128869939766 | 0.872435565030117 |
15 | 0.090331877557498 | 0.180663755114996 | 0.909668122442502 |
16 | 0.451102636534222 | 0.902205273068444 | 0.548897363465778 |
17 | 0.651302532980379 | 0.697394934039242 | 0.348697467019621 |
18 | 0.616431233382205 | 0.76713753323559 | 0.383568766617795 |
19 | 0.628283592742434 | 0.743432814515133 | 0.371716407257567 |
20 | 0.575673037712668 | 0.848653924574663 | 0.424326962287332 |
21 | 0.645735144465154 | 0.708529711069692 | 0.354264855534846 |
22 | 0.60132596687015 | 0.7973480662597 | 0.39867403312985 |
23 | 0.593171957901073 | 0.813656084197854 | 0.406828042098927 |
24 | 0.547952242377893 | 0.904095515244215 | 0.452047757622107 |
25 | 0.602989648630081 | 0.794020702739838 | 0.397010351369919 |
26 | 0.559982708003252 | 0.880034583993497 | 0.440017291996748 |
27 | 0.675919854866595 | 0.64816029026681 | 0.324080145133405 |
28 | 0.653686739787263 | 0.692626520425473 | 0.346313260212737 |
29 | 0.62162874186615 | 0.7567425162677 | 0.37837125813385 |
30 | 0.669360632092061 | 0.661278735815878 | 0.330639367907939 |
31 | 0.659307177705908 | 0.681385644588184 | 0.340692822294092 |
32 | 0.704396451741916 | 0.591207096516169 | 0.295603548258084 |
33 | 0.671049561022812 | 0.657900877954376 | 0.328950438977188 |
34 | 0.643903490875072 | 0.712193018249856 | 0.356096509124928 |
35 | 0.672195626996752 | 0.655608746006496 | 0.327804373003248 |
36 | 0.729106754104582 | 0.541786491790837 | 0.270893245895418 |
37 | 0.755749376987444 | 0.488501246025112 | 0.244250623012556 |
38 | 0.787536435625111 | 0.424927128749778 | 0.212463564374889 |
39 | 0.773725008128987 | 0.452549983742025 | 0.226274991871012 |
40 | 0.789861865893306 | 0.420276268213389 | 0.210138134106694 |
41 | 0.803043587018917 | 0.393912825962166 | 0.196956412981083 |
42 | 0.797714746095872 | 0.404570507808257 | 0.202285253904128 |
43 | 0.809265768389623 | 0.381468463220753 | 0.190734231610377 |
44 | 0.810726660964244 | 0.378546678071511 | 0.189273339035756 |
45 | 0.801951710410965 | 0.39609657917807 | 0.198048289589035 |
46 | 0.777512205810999 | 0.444975588378002 | 0.222487794189001 |
47 | 0.746198280371163 | 0.507603439257674 | 0.253801719628837 |
48 | 0.75245301453801 | 0.495093970923979 | 0.247546985461989 |
49 | 0.752059553143548 | 0.495880893712903 | 0.247940446856452 |
50 | 0.762645347475986 | 0.474709305048027 | 0.237354652524014 |
51 | 0.757890511526414 | 0.484218976947171 | 0.242109488473586 |
52 | 0.762610357958958 | 0.474779284082083 | 0.237389642041042 |
53 | 0.777747231563432 | 0.444505536873136 | 0.222252768436568 |
54 | 0.774894341203244 | 0.450211317593513 | 0.225105658796756 |
55 | 0.787260166868525 | 0.42547966626295 | 0.212739833131475 |
56 | 0.776750849958469 | 0.446498300083063 | 0.223249150041531 |
57 | 0.763934855153971 | 0.472130289692057 | 0.236065144846029 |
58 | 0.742012948887443 | 0.515974102225114 | 0.257987051112557 |
59 | 0.745418667056703 | 0.509162665886595 | 0.254581332943297 |
60 | 0.716797185384698 | 0.566405629230603 | 0.283202814615302 |
61 | 0.715082697217686 | 0.569834605564629 | 0.284917302782314 |
62 | 0.74918562337009 | 0.501628753259821 | 0.250814376629911 |
63 | 0.724018197932567 | 0.551963604134865 | 0.275981802067433 |
64 | 0.699633092823895 | 0.600733814352211 | 0.300366907176105 |
65 | 0.680843433138998 | 0.638313133722003 | 0.319156566861002 |
66 | 0.687760342789626 | 0.624479314420749 | 0.312239657210374 |
67 | 0.685335473024336 | 0.629329053951329 | 0.314664526975664 |
68 | 0.709209620372103 | 0.581580759255794 | 0.290790379627897 |
69 | 0.67837619172075 | 0.6432476165585 | 0.32162380827925 |
70 | 0.680177779820418 | 0.639644440359165 | 0.319822220179582 |
71 | 0.716859854363099 | 0.566280291273802 | 0.283140145636901 |
72 | 0.695823386907608 | 0.608353226184784 | 0.304176613092392 |
73 | 0.702100871248071 | 0.595798257503858 | 0.297899128751929 |
74 | 0.717325917471952 | 0.565348165056097 | 0.282674082528048 |
75 | 0.73633457276144 | 0.52733085447712 | 0.26366542723856 |
76 | 0.723483345614607 | 0.553033308770786 | 0.276516654385393 |
77 | 0.7011632313265 | 0.597673537346999 | 0.298836768673500 |
78 | 0.674905436689288 | 0.650189126621424 | 0.325094563310712 |
79 | 0.708835971048264 | 0.582328057903473 | 0.291164028951736 |
80 | 0.693674301811922 | 0.612651396376156 | 0.306325698188078 |
81 | 0.68920541016596 | 0.62158917966808 | 0.31079458983404 |
82 | 0.649444748363507 | 0.701110503272987 | 0.350555251636493 |
83 | 0.68333980789951 | 0.63332038420098 | 0.31666019210049 |
84 | 0.666411546777012 | 0.667176906445976 | 0.333588453222988 |
85 | 0.645111026222406 | 0.709777947555188 | 0.354888973777594 |
86 | 0.669089627571891 | 0.661820744856217 | 0.330910372428109 |
87 | 0.654541603053221 | 0.690916793893559 | 0.345458396946779 |
88 | 0.622049024460372 | 0.755901951079256 | 0.377950975539628 |
89 | 0.605585817595009 | 0.788828364809983 | 0.394414182404991 |
90 | 0.581389415246039 | 0.837221169507922 | 0.418610584753961 |
91 | 0.566524231193313 | 0.866951537613373 | 0.433475768806687 |
92 | 0.538081879942404 | 0.923836240115193 | 0.461918120057596 |
93 | 0.50376840511788 | 0.99246318976424 | 0.49623159488212 |
94 | 0.469708649280165 | 0.93941729856033 | 0.530291350719835 |
95 | 0.440654214892685 | 0.88130842978537 | 0.559345785107315 |
96 | 0.456619855375023 | 0.913239710750046 | 0.543380144624977 |
97 | 0.455078995243063 | 0.910157990486127 | 0.544921004756937 |
98 | 0.451308533820853 | 0.902617067641707 | 0.548691466179147 |
99 | 0.495510805561754 | 0.991021611123509 | 0.504489194438246 |
100 | 0.472710320391663 | 0.945420640783327 | 0.527289679608337 |
101 | 0.507791931569947 | 0.984416136860106 | 0.492208068430053 |
102 | 0.469753865308793 | 0.939507730617585 | 0.530246134691207 |
103 | 0.48256013924644 | 0.96512027849288 | 0.51743986075356 |
104 | 0.452452607516601 | 0.904905215033203 | 0.547547392483399 |
105 | 0.466497730222333 | 0.932995460444665 | 0.533502269777667 |
106 | 0.457851163916454 | 0.915702327832908 | 0.542148836083546 |
107 | 0.503519808293217 | 0.992960383413567 | 0.496480191706783 |
108 | 0.537379380847981 | 0.925241238304038 | 0.462620619152019 |
109 | 0.522592445375967 | 0.954815109248066 | 0.477407554624033 |
110 | 0.480594290381874 | 0.961188580763748 | 0.519405709618126 |
111 | 0.435298155452941 | 0.870596310905883 | 0.564701844547059 |
112 | 0.413694112745110 | 0.827388225490221 | 0.58630588725489 |
113 | 0.394369287518901 | 0.788738575037803 | 0.605630712481099 |
114 | 0.407216729021689 | 0.814433458043377 | 0.592783270978311 |
115 | 0.364946858071138 | 0.729893716142276 | 0.635053141928862 |
116 | 0.32418406419937 | 0.64836812839874 | 0.67581593580063 |
117 | 0.292334669782695 | 0.584669339565389 | 0.707665330217305 |
118 | 0.271740693511328 | 0.543481387022656 | 0.728259306488672 |
119 | 0.287877075719686 | 0.575754151439371 | 0.712122924280314 |
120 | 0.261334513495097 | 0.522669026990193 | 0.738665486504903 |
121 | 0.257877632972559 | 0.515755265945119 | 0.74212236702744 |
122 | 0.223836126021864 | 0.447672252043728 | 0.776163873978136 |
123 | 0.213583382651105 | 0.42716676530221 | 0.786416617348895 |
124 | 0.191630681590525 | 0.383261363181049 | 0.808369318409475 |
125 | 0.224373184595841 | 0.448746369191682 | 0.775626815404159 |
126 | 0.209778169862793 | 0.419556339725587 | 0.790221830137207 |
127 | 0.182660207389046 | 0.365320414778093 | 0.817339792610954 |
128 | 0.172583419981115 | 0.345166839962231 | 0.827416580018885 |
129 | 0.225930994267703 | 0.451861988535406 | 0.774069005732297 |
130 | 0.287793333240505 | 0.575586666481009 | 0.712206666759495 |
131 | 0.289854296202797 | 0.579708592405594 | 0.710145703797203 |
132 | 0.379058504607866 | 0.758117009215733 | 0.620941495392134 |
133 | 0.413665063568939 | 0.827330127137878 | 0.586334936431061 |
134 | 0.425739916863469 | 0.851479833726937 | 0.574260083136531 |
135 | 0.452495047376641 | 0.904990094753281 | 0.547504952623359 |
136 | 0.449292880425979 | 0.898585760851957 | 0.550707119574021 |
137 | 0.384102826969723 | 0.768205653939445 | 0.615897173030277 |
138 | 0.365876895906559 | 0.731753791813118 | 0.634123104093441 |
139 | 0.482696970911781 | 0.965393941823561 | 0.517303029088219 |
140 | 0.418888884105943 | 0.837777768211885 | 0.581111115894057 |
141 | 0.58972219554018 | 0.820555608919639 | 0.410277804459820 |
142 | 0.566321121042214 | 0.867357757915572 | 0.433678878957786 |
143 | 0.717828909477004 | 0.564342181045991 | 0.282171090522996 |
144 | 0.606667980130846 | 0.786664039738308 | 0.393332019869154 |
145 | 0.623847631812556 | 0.752304736374887 | 0.376152368187444 |
146 | 0.542877340933563 | 0.914245318132873 | 0.457122659066437 |
147 | 0.51340933567571 | 0.97318132864858 | 0.48659066432429 |
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 |