Multiple Linear Regression - Estimated Regression Equation |
Popularity[t] = + 0.630092326762164 + 0.0911674453868626FindingFriends[t] + 0.341648642438405KnowingPeople[t] + 0.48873661315285`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) | 0.630092326762164 | 1.492032 | 0.4223 | 0.673399 | 0.3367 |
FindingFriends | 0.0911674453868626 | 0.100623 | 0.906 | 0.366354 | 0.183177 |
KnowingPeople | 0.341648642438405 | 0.059082 | 5.7827 | 0 | 0 |
`Liked ` | 0.48873661315285 | 0.094366 | 5.1792 | 1e-06 | 0 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 0.667556284783105 |
R-squared | 0.445631393353423 |
Adjusted R-squared | 0.434689907695924 |
F-TEST (value) | 40.7286000551516 |
F-TEST (DF numerator) | 3 |
F-TEST (DF denominator) | 152 |
p-value | 0 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 2.20796509448368 |
Sum Squared Residuals | 741.016698485668 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
1 | 13 | 12.9519260819160 | 0.0480739180839669 |
2 | 12 | 10.8108667818988 | 1.1891332181012 |
3 | 15 | 13.4613363003372 | 1.53866369966277 |
4 | 12 | 9.70697919014695 | 2.29302080985305 |
5 | 10 | 10.3343559496962 | -0.334355949696189 |
6 | 12 | 9.98048152630755 | 2.01951847369245 |
7 | 15 | 16.0789064325572 | -1.07890643255715 |
8 | 9 | 10.8583394829083 | -1.85833948290832 |
9 | 12 | 13.3494952496821 | -1.34949524968208 |
10 | 11 | 7.62561837208942 | 3.37438162791058 |
11 | 11 | 13.3946204168509 | -2.39462041685085 |
12 | 11 | 11.3470760960612 | -0.347076096061168 |
13 | 15 | 12.4754152497135 | 2.52458475028652 |
14 | 7 | 11.8710596292733 | -4.8710596292733 |
15 | 11 | 10.6515530302341 | 0.348446969765875 |
16 | 11 | 11.5416367677851 | -0.541636767785127 |
17 | 10 | 11.3470760960612 | -1.34707609606117 |
18 | 14 | 14.5774496730393 | -0.577449673039323 |
19 | 10 | 8.42310424146214 | 1.57689575853786 |
20 | 6 | 9.7192049710972 | -3.7192049710972 |
21 | 11 | 10.1957158032998 | 0.804284196700187 |
22 | 15 | 13.7470644174481 | 1.25293558255193 |
23 | 11 | 11.6450299941222 | -0.645029994122223 |
24 | 12 | 9.4917449131547 | 2.5082550868453 |
25 | 14 | 13.2024072789676 | 0.797592721032365 |
26 | 15 | 15.2607469579161 | -0.260746957916132 |
27 | 9 | 14.0887130598865 | -5.08871305988647 |
28 | 13 | 12.9848254681346 | 0.0151745318653686 |
29 | 13 | 13.0759929135215 | -0.0759929135214936 |
30 | 16 | 11.2996033950517 | 4.70039660494834 |
31 | 13 | 8.18484882536083 | 4.81515117463917 |
32 | 12 | 12.6784237457555 | -0.678423745755506 |
33 | 14 | 13.8382318628349 | 0.161768137165069 |
34 | 11 | 10.4461970003514 | 0.553802999648645 |
35 | 9 | 10.8583394829083 | -1.85833948290832 |
36 | 16 | 14.4303617023249 | 1.56963829767512 |
37 | 12 | 12.4716372930813 | -0.471637293081313 |
38 | 10 | 8.4000831023531 | 1.59991689764691 |
39 | 13 | 12.7695911911424 | 0.230408808857631 |
40 | 16 | 14.9190983154777 | 1.08090168452227 |
41 | 14 | 12.5191099940908 | 1.48089000590917 |
42 | 15 | 8.5349452921173 | 6.4650547078827 |
43 | 5 | 10.5956325049065 | -5.59563250490654 |
44 | 8 | 10.9142600082359 | -2.9142600082359 |
45 | 11 | 10.2309627233591 | 0.769037276640908 |
46 | 16 | 12.9166791618568 | 3.08332083814319 |
47 | 17 | 13.5999764467336 | 3.40002355326638 |
48 | 9 | 7.95738876741833 | 1.04261123258167 |
49 | 9 | 12.0862939062656 | -3.08629390626556 |
50 | 13 | 15.0102657608646 | -2.01026576086459 |
51 | 10 | 9.7859208545836 | 0.214079145416408 |
52 | 6 | 11.9514317165013 | -5.95143171650135 |
53 | 12 | 12.6661979648053 | -0.666197964805272 |
54 | 8 | 10.8108667818988 | -2.81086678189880 |
55 | 14 | 12.6102774394777 | 1.38972256052231 |
56 | 12 | 12.7695911911424 | -0.769591191142369 |
57 | 11 | 11.4152224023390 | -0.415222402338985 |
58 | 16 | 14.736763424704 | 1.26323657529600 |
59 | 8 | 12.3804698476945 | -4.38046984769445 |
60 | 15 | 14.0887130598865 | 0.911286940113527 |
61 | 7 | 10.3221301687460 | -3.32213016874595 |
62 | 16 | 14.0327925345589 | 1.96720746544111 |
63 | 14 | 13.8067628994078 | 0.193237100592184 |
64 | 16 | 13.7470644174481 | 2.25293558255193 |
65 | 9 | 9.36533054770856 | -0.365330547708559 |
66 | 14 | 12.5191099940908 | 1.48089000590917 |
67 | 11 | 12.7136706658148 | -1.71367066581479 |
68 | 13 | 9.98048152630755 | 3.01951847369245 |
69 | 15 | 12.5191099940908 | 2.48089000590917 |
70 | 5 | 5.71671419769611 | -0.716714197696112 |
71 | 15 | 12.7695911911424 | 2.23040880885763 |
72 | 13 | 12.5191099940908 | 0.480890005909173 |
73 | 11 | 12.23338187698 | -1.23338187698001 |
74 | 11 | 14.2687004168195 | -3.26870041681946 |
75 | 12 | 11.9951264608787 | 0.00487353912130259 |
76 | 12 | 13.2024072789676 | -1.20240727896764 |
77 | 12 | 12.4631894687632 | -0.463189468763243 |
78 | 12 | 12.1544402125434 | -0.154440212543377 |
79 | 14 | 11.2996033950517 | 2.70039660494835 |
80 | 6 | 9.1500962707163 | -3.15009627071630 |
81 | 7 | 9.98048152630755 | -2.98048152630755 |
82 | 14 | 11.4833687086168 | 2.5166312913832 |
83 | 14 | 13.8941523881625 | 0.105847611837486 |
84 | 10 | 11.1647412052874 | -1.16474120528744 |
85 | 13 | 9.29718424143074 | 3.70281575856926 |
86 | 12 | 11.7798921838864 | 0.220107816113565 |
87 | 9 | 9.2534894970534 | -0.253489497053393 |
88 | 12 | 12.3574487085854 | -0.357448708585405 |
89 | 16 | 13.7470644174481 | 2.25293558255193 |
90 | 10 | 10.5726113657975 | -0.572611365797496 |
91 | 14 | 12.8692064608473 | 1.1307935391527 |
92 | 10 | 13.4054157750097 | -3.40541577500966 |
93 | 16 | 15.0102657608646 | 0.98973423913541 |
94 | 15 | 13.3617210306323 | 1.63827896936768 |
95 | 12 | 11.2559086506743 | 0.744091349325694 |
96 | 10 | 9.8333935555931 | 0.166606444406895 |
97 | 8 | 8.98843498521087 | -0.988434985210874 |
98 | 8 | 9.09417574538871 | -1.09417574538871 |
99 | 11 | 13.4735620812875 | -2.47356208128748 |
100 | 13 | 11.8358127092140 | 1.16418729078598 |
101 | 16 | 15.2607469579161 | 0.739253042083868 |
102 | 16 | 14.1798805052733 | 1.82011949472666 |
103 | 14 | 16.5117225203824 | -2.51172252038242 |
104 | 11 | 9.60358596380987 | 1.39641403619013 |
105 | 4 | 7.79572748191291 | -3.79572748191291 |
106 | 14 | 13.0515413516210 | 0.948458648378974 |
107 | 9 | 11.6534778184403 | -2.65347781844029 |
108 | 14 | 14.0887130598865 | -0.088713059886473 |
109 | 8 | 11.8005657891547 | -3.80056578915474 |
110 | 8 | 11.6741514237086 | -3.6741514237086 |
111 | 11 | 12.4838630740315 | -1.48386307403155 |
112 | 12 | 12.8377374974202 | -0.837737497420186 |
113 | 11 | 10.4692181394604 | 0.5307818605396 |
114 | 14 | 13.4965832203965 | 0.503416779603474 |
115 | 15 | 13.6436711911110 | 1.35632880888903 |
116 | 16 | 13.2583278042952 | 2.74167219570478 |
117 | 16 | 13.3494952496821 | 2.65050475031792 |
118 | 11 | 12.2770766213574 | -1.27707662135735 |
119 | 14 | 13.6911438921205 | 0.308856107879515 |
120 | 14 | 11.5975572931127 | 2.40244270688729 |
121 | 12 | 12.1774613516524 | -0.177461351652422 |
122 | 14 | 12.9641518628663 | 1.03584813713367 |
123 | 8 | 10.5726113657975 | -2.57261136579750 |
124 | 13 | 13.7823113375073 | -0.782311337507348 |
125 | 16 | 13.6911438921205 | 2.30885610787951 |
126 | 12 | 10.6163061101748 | 1.38369388982515 |
127 | 16 | 14.3269684759878 | 1.67303152401222 |
128 | 12 | 13.2024072789676 | -1.20240727896764 |
129 | 11 | 11.6182308983810 | -0.618230898381014 |
130 | 4 | 5.3642701970989 | -1.36427019709890 |
131 | 16 | 14.3269684759878 | 1.67303152401222 |
132 | 15 | 12.0862939062656 | 2.91370609373444 |
133 | 10 | 12.2770766213574 | -2.27707662135735 |
134 | 13 | 12.9044533809066 | 0.09554661909342 |
135 | 15 | 13.0078466072437 | 1.99215339275632 |
136 | 12 | 11.1525154243372 | 0.847484575662791 |
137 | 14 | 13.5999764467336 | 0.400023553266377 |
138 | 7 | 12.0303733809380 | -5.03037338093798 |
139 | 19 | 14.1798805052733 | 4.82011949472666 |
140 | 12 | 13.1671603589084 | -1.16716035890836 |
141 | 12 | 13.4528884760192 | -1.45288847601918 |
142 | 13 | 13.3494952496821 | -0.349495249682081 |
143 | 15 | 14.3269684759878 | 0.673031524012219 |
144 | 8 | 7.89067288393194 | 0.109327116068061 |
145 | 12 | 11.4941640667756 | 0.505835933224387 |
146 | 10 | 9.53543965753205 | 0.464560342467951 |
147 | 8 | 11.2996033950517 | -3.29960339505165 |
148 | 10 | 14.4533828414339 | -4.45338284143392 |
149 | 15 | 13.9416250891720 | 1.05837491082797 |
150 | 16 | 13.1549345779581 | 2.84506542204188 |
151 | 13 | 12.0862939062656 | 0.91370609373444 |
152 | 16 | 14.6686171184262 | 1.33138288157381 |
153 | 9 | 10.5726113657975 | -1.57261136579750 |
154 | 14 | 12.9725996871844 | 1.02740031281560 |
155 | 14 | 12.2808545779895 | 1.71914542201048 |
156 | 12 | 12.23338187698 | -0.233381876980005 |
Goldfeld-Quandt test for Heteroskedasticity | |||
p-values | Alternative Hypothesis | ||
breakpoint index | greater | 2-sided | less |
7 | 0.086201880935124 | 0.172403761870248 | 0.913798119064876 |
8 | 0.0833522204081176 | 0.166704440816235 | 0.916647779591882 |
9 | 0.0360808192587593 | 0.0721616385175186 | 0.96391918074124 |
10 | 0.0219291507697497 | 0.0438583015394995 | 0.97807084923025 |
11 | 0.020940230221166 | 0.041880460442332 | 0.979059769778834 |
12 | 0.00880623720360763 | 0.0176124744072153 | 0.991193762796392 |
13 | 0.198379266507272 | 0.396758533014543 | 0.801620733492728 |
14 | 0.526411535169698 | 0.947176929660603 | 0.473588464830302 |
15 | 0.434357733359196 | 0.868715466718391 | 0.565642266640804 |
16 | 0.348412761424439 | 0.696825522848877 | 0.651587238575561 |
17 | 0.293882402179742 | 0.587764804359484 | 0.706117597820258 |
18 | 0.226225051465612 | 0.452450102931224 | 0.773774948534388 |
19 | 0.174172417301069 | 0.348344834602138 | 0.825827582698931 |
20 | 0.437433438164969 | 0.874866876329939 | 0.56256656183503 |
21 | 0.365951007473965 | 0.73190201494793 | 0.634048992526035 |
22 | 0.348472024037108 | 0.696944048074216 | 0.651527975962892 |
23 | 0.287922798627498 | 0.575845597254996 | 0.712077201372502 |
24 | 0.272788762242382 | 0.545577524484764 | 0.727211237757618 |
25 | 0.248950671465902 | 0.497901342931805 | 0.751049328534098 |
26 | 0.203478639842294 | 0.406957279684587 | 0.796521360157706 |
27 | 0.390186419496689 | 0.780372838993378 | 0.609813580503311 |
28 | 0.333347992813808 | 0.666695985627616 | 0.666652007186192 |
29 | 0.279610034577421 | 0.559220069154842 | 0.720389965422579 |
30 | 0.416709864125572 | 0.833419728251145 | 0.583290135874428 |
31 | 0.566320954354563 | 0.867358091290874 | 0.433679045645437 |
32 | 0.507952219671794 | 0.984095560656412 | 0.492047780328206 |
33 | 0.455369951046781 | 0.910739902093563 | 0.544630048953219 |
34 | 0.404162576788001 | 0.808325153576003 | 0.595837423211999 |
35 | 0.399941413116693 | 0.799882826233385 | 0.600058586883307 |
36 | 0.417194699123449 | 0.834389398246899 | 0.582805300876551 |
37 | 0.371859735161688 | 0.743719470323377 | 0.628140264838312 |
38 | 0.332054934625048 | 0.664109869250095 | 0.667945065374952 |
39 | 0.286999458544914 | 0.573998917089828 | 0.713000541455086 |
40 | 0.274363034773185 | 0.54872606954637 | 0.725636965226815 |
41 | 0.254531737551611 | 0.509063475103223 | 0.745468262448389 |
42 | 0.50573444837906 | 0.98853110324188 | 0.49426555162094 |
43 | 0.818823224136912 | 0.362353551726177 | 0.181176775863088 |
44 | 0.853132498553995 | 0.293735002892010 | 0.146867501446005 |
45 | 0.824967582815225 | 0.35006483436955 | 0.175032417184775 |
46 | 0.85908501442819 | 0.281829971143619 | 0.140914985571809 |
47 | 0.903785606999456 | 0.192428786001088 | 0.096214393000544 |
48 | 0.884828655839032 | 0.230342688321935 | 0.115171344160968 |
49 | 0.907437340266227 | 0.185125319467546 | 0.0925626597337728 |
50 | 0.900298501156844 | 0.199402997686312 | 0.099701498843156 |
51 | 0.88183370410319 | 0.236332591793621 | 0.118166295896811 |
52 | 0.97014316906413 | 0.0597136618717391 | 0.0298568309358696 |
53 | 0.961760656356331 | 0.0764786872873383 | 0.0382393436436691 |
54 | 0.970880407675343 | 0.0582391846493136 | 0.0291195923246568 |
55 | 0.967606540734937 | 0.0647869185301267 | 0.0323934592650633 |
56 | 0.958906173288762 | 0.0821876534224754 | 0.0410938267112377 |
57 | 0.947734755858905 | 0.104530488282190 | 0.0522652441410948 |
58 | 0.939887384998697 | 0.120225230002607 | 0.0601126150013035 |
59 | 0.974062637622457 | 0.0518747247550859 | 0.0259373623775429 |
60 | 0.968568209337054 | 0.0628635813258914 | 0.0314317906629457 |
61 | 0.978669772123905 | 0.0426604557521899 | 0.0213302278760949 |
62 | 0.979127931114817 | 0.0417441377703654 | 0.0208720688851827 |
63 | 0.973037272586346 | 0.0539254548273081 | 0.0269627274136541 |
64 | 0.97379276946177 | 0.0524144610764606 | 0.0262072305382303 |
65 | 0.967735288354832 | 0.0645294232903366 | 0.0322647116451683 |
66 | 0.963197136820467 | 0.0736057263590658 | 0.0368028631795329 |
67 | 0.959512290013635 | 0.0809754199727297 | 0.0404877099863649 |
68 | 0.968010771469781 | 0.0639784570604377 | 0.0319892285302189 |
69 | 0.970552088242013 | 0.0588958235159738 | 0.0294479117579869 |
70 | 0.962901950788636 | 0.0741960984227287 | 0.0370980492113644 |
71 | 0.963466298217235 | 0.0730674035655295 | 0.0365337017827647 |
72 | 0.953737438816679 | 0.0925251223666425 | 0.0462625611833212 |
73 | 0.945610146749026 | 0.108779706501948 | 0.0543898532509738 |
74 | 0.960652083615915 | 0.0786958327681696 | 0.0393479163840848 |
75 | 0.949645850327103 | 0.100708299345794 | 0.0503541496728972 |
76 | 0.941199441695723 | 0.117601116608553 | 0.0588005583042766 |
77 | 0.927444103107724 | 0.145111793784552 | 0.0725558968922762 |
78 | 0.91002853352596 | 0.179942932948081 | 0.0899714664740406 |
79 | 0.921637935733515 | 0.156724128532970 | 0.0783620642664848 |
80 | 0.937127041202154 | 0.125745917595693 | 0.0628729587978463 |
81 | 0.947463344495757 | 0.105073311008486 | 0.0525366555042432 |
82 | 0.954946685838749 | 0.0901066283225025 | 0.0450533141612513 |
83 | 0.942699416416632 | 0.114601167166736 | 0.0573005835833679 |
84 | 0.931777089740177 | 0.136445820519646 | 0.0682229102598231 |
85 | 0.960978398724827 | 0.0780432025503467 | 0.0390216012751733 |
86 | 0.950105792355086 | 0.0997884152898288 | 0.0498942076449144 |
87 | 0.937286606846272 | 0.125426786307456 | 0.0627133931537278 |
88 | 0.922737257177036 | 0.154525485645928 | 0.0772627428229642 |
89 | 0.923948093360448 | 0.152103813279104 | 0.0760519066395522 |
90 | 0.906467519723498 | 0.187064960553004 | 0.0935324802765019 |
91 | 0.893323471854008 | 0.213353056291984 | 0.106676528145992 |
92 | 0.922977802782124 | 0.154044394435751 | 0.0770221972178756 |
93 | 0.907810945108188 | 0.184378109783624 | 0.0921890548918118 |
94 | 0.898255421667261 | 0.203489156665479 | 0.101744578332739 |
95 | 0.87894578465289 | 0.242108430694217 | 0.121054215347109 |
96 | 0.85399738855818 | 0.292005222883639 | 0.146002611441820 |
97 | 0.836055360115174 | 0.327889279769652 | 0.163944639884826 |
98 | 0.810798512523365 | 0.378402974953269 | 0.189201487476635 |
99 | 0.813216376429652 | 0.373567247140695 | 0.186783623570348 |
100 | 0.789748538887547 | 0.420502922224905 | 0.210251461112453 |
101 | 0.755731789070371 | 0.488536421859258 | 0.244268210929629 |
102 | 0.73813188542655 | 0.523736229146899 | 0.261868114573449 |
103 | 0.789239075131679 | 0.421521849736642 | 0.210760924868321 |
104 | 0.799981778337964 | 0.400036443324073 | 0.200018221662036 |
105 | 0.827291963653987 | 0.345416072692026 | 0.172708036346013 |
106 | 0.799273159693544 | 0.401453680612912 | 0.200726840306456 |
107 | 0.807495188954656 | 0.385009622090688 | 0.192504811045344 |
108 | 0.772248961466905 | 0.455502077066191 | 0.227751038533095 |
109 | 0.833235847269117 | 0.333528305461765 | 0.166764152730883 |
110 | 0.890305744683313 | 0.219388510633374 | 0.109694255316687 |
111 | 0.885873914094556 | 0.228252171810888 | 0.114126085905444 |
112 | 0.886247944045492 | 0.227504111909015 | 0.113752055954508 |
113 | 0.865821099854971 | 0.268357800290057 | 0.134178900145029 |
114 | 0.834878590877945 | 0.330242818244111 | 0.165121409122055 |
115 | 0.807071744737087 | 0.385856510525826 | 0.192928255262913 |
116 | 0.809362125542888 | 0.381275748914225 | 0.190637874457112 |
117 | 0.820635233142559 | 0.358729533714882 | 0.179364766857441 |
118 | 0.796367607281125 | 0.407264785437749 | 0.203632392718875 |
119 | 0.75388772424975 | 0.492224551500501 | 0.246112275750251 |
120 | 0.765319316053459 | 0.469361367893082 | 0.234680683946541 |
121 | 0.71818222149935 | 0.5636355570013 | 0.28181777850065 |
122 | 0.674304466635128 | 0.651391066729745 | 0.325695533364872 |
123 | 0.684414808519145 | 0.63117038296171 | 0.315585191480855 |
124 | 0.634315333055595 | 0.73136933388881 | 0.365684666944405 |
125 | 0.631874304977187 | 0.736251390045627 | 0.368125695022813 |
126 | 0.609068476976629 | 0.781863046046741 | 0.390931523023370 |
127 | 0.568248168962381 | 0.863503662075238 | 0.431751831037619 |
128 | 0.523833537227549 | 0.952332925544901 | 0.476166462772451 |
129 | 0.527793870692623 | 0.944412258614753 | 0.472206129307377 |
130 | 0.476249175923816 | 0.952498351847633 | 0.523750824076184 |
131 | 0.43089222550058 | 0.86178445100116 | 0.56910777449942 |
132 | 0.457070589332974 | 0.914141178665949 | 0.542929410667026 |
133 | 0.487302341380377 | 0.974604682760754 | 0.512697658619623 |
134 | 0.420088764016329 | 0.840177528032657 | 0.579911235983671 |
135 | 0.41306173325581 | 0.82612346651162 | 0.58693826674419 |
136 | 0.364971408744657 | 0.729942817489314 | 0.635028591255343 |
137 | 0.296606070051064 | 0.593212140102128 | 0.703393929948936 |
138 | 0.502775285713216 | 0.994449428573568 | 0.497224714286784 |
139 | 0.805469354418959 | 0.389061291162082 | 0.194530645581041 |
140 | 0.829249127753443 | 0.341501744493114 | 0.170750872246557 |
141 | 0.82786786808849 | 0.344264263823021 | 0.172132131911510 |
142 | 0.758957973033748 | 0.482084053932503 | 0.241042026966252 |
143 | 0.674687264658509 | 0.650625470682983 | 0.325312735341491 |
144 | 0.573507106201103 | 0.852985787597794 | 0.426492893798897 |
145 | 0.48517114090760 | 0.97034228181520 | 0.5148288590924 |
146 | 0.731009514682407 | 0.537980970635187 | 0.268990485317593 |
147 | 0.662541212845265 | 0.674917574309471 | 0.337458787154735 |
148 | 0.856244589250297 | 0.287510821499406 | 0.143755410749703 |
149 | 0.767132523061463 | 0.465734953877073 | 0.232867476938537 |
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 | 5 | 0.0349650349650350 | OK |
10% type I error level | 27 | 0.188811188811189 | NOK |