Multiple Linear Regression - Estimated Regression Equation |
Score[t] = + 5.06517250743672 + 4.53970003620523e-05Time[t] -0.000230492420210031CCViews[t] -0.0166545727823166Blogs[t] + 0.0332487654032808Reviews[t] + 0.00200692039106253LFM[t] + 1.17579715974557e-06Totalcharacters[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) | 5.06517250743672 | 1.181133 | 4.2884 | 3.4e-05 | 1.7e-05 |
Time | 4.53970003620523e-05 | 1e-05 | 4.3305 | 2.8e-05 | 1.4e-05 |
CCViews | -0.000230492420210031 | 0.002123 | -0.1086 | 0.913695 | 0.456848 |
Blogs | -0.0166545727823166 | 0.013553 | -1.2288 | 0.221232 | 0.110616 |
Reviews | 0.0332487654032808 | 0.087219 | 0.3812 | 0.703632 | 0.351816 |
LFM | 0.00200692039106253 | 0.020097 | 0.0999 | 0.9206 | 0.4603 |
Totalcharacters | 1.17579715974557e-06 | 1.1e-05 | 0.1078 | 0.914279 | 0.457139 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 0.589367427132648 |
R-squared | 0.347353964164957 |
Adjusted R-squared | 0.318978049563433 |
F-TEST (value) | 12.2411548329901 |
F-TEST (DF numerator) | 6 |
F-TEST (DF denominator) | 138 |
p-value | 5.16330311839397e-11 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 3.2097068813239 |
Sum Squared Residuals | 1421.70612043448 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
1 | 18 | 17.0158064888827 | 0.98419351111733 |
2 | 15 | 16.8635880417539 | -1.86358804175395 |
3 | 13 | 16.2752454102909 | -3.27524541029094 |
4 | 12 | 15.8197073459831 | -3.8197073459831 |
5 | 11 | 16.0650478202181 | -5.06504782021808 |
6 | 10 | 15.729942737824 | -5.72994273782399 |
7 | 19 | 15.880890722369 | 3.11910927763105 |
8 | 18 | 15.3300090155407 | 2.66999098445927 |
9 | 13 | 15.7652251941387 | -2.76522519413871 |
10 | 15 | 15.521154145857 | -0.521154145856953 |
11 | 12 | 15.6489134142771 | -3.64891341427714 |
12 | 11 | 15.438008246156 | -4.43800824615602 |
13 | 13 | 14.7409870028783 | -1.74098700287834 |
14 | 14 | 15.1243363845347 | -1.12433638453473 |
15 | 12 | 13.7422306575602 | -1.74223065756016 |
16 | 17 | 14.0178666108227 | 2.98213338917727 |
17 | 18 | 13.6485620753103 | 4.35143792468975 |
18 | 13 | 14.0300687270129 | -1.03006872701286 |
19 | 15 | 13.484950976439 | 1.515049023561 |
20 | 12 | 14.2058439578903 | -2.20584395789033 |
21 | 11 | 13.0276952209657 | -2.02769522096572 |
22 | 10 | 13.5883041271481 | -3.58830412714807 |
23 | 14 | 13.5727162189604 | 0.427283781039631 |
24 | 17 | 13.4900443087584 | 3.50995569124158 |
25 | 13 | 13.5766305888838 | -0.576630588883824 |
26 | 12 | 13.8721240273819 | -1.87212402738189 |
27 | 16 | 13.8373233022523 | 2.16267669774767 |
28 | 15 | 13.8907940275305 | 1.10920597246952 |
29 | 12 | 13.0484037694842 | -1.0484037694842 |
30 | 10 | 13.0871294176731 | -3.08712941767309 |
31 | 19 | 13.4153222924171 | 5.58467770758286 |
32 | 16 | 13.1547480029037 | 2.84525199709631 |
33 | 17 | 12.6832583626871 | 4.31674163731285 |
34 | 13 | 13.6846953772426 | -0.684695377242588 |
35 | 12 | 12.7537695178068 | -0.753769517806826 |
36 | 11 | 12.7808699220274 | -1.78086992202744 |
37 | 16 | 12.5650165652441 | 3.4349834347559 |
38 | 13 | 12.8645587115869 | 0.135441288413111 |
39 | 14 | 13.2689771697408 | 0.731022830259206 |
40 | 16 | 13.1879765962077 | 2.81202340379227 |
41 | 18 | 12.7140384239517 | 5.28596157604832 |
42 | 10 | 12.5180806910038 | -2.51808069100385 |
43 | 11 | 13.0887483647715 | -2.08874836477153 |
44 | 12 | 12.9813349318269 | -0.981334931826912 |
45 | 15 | 13.1010367614403 | 1.89896323855975 |
46 | 16 | 12.7954584851492 | 3.20454151485082 |
47 | 12 | 12.3112282415687 | -0.311228241568724 |
48 | 10 | 12.3110784026941 | -2.31107840269413 |
49 | 18 | 12.3346312815664 | 5.66536871843363 |
50 | 14 | 12.3744400443098 | 1.62555995569024 |
51 | 16 | 12.6137648535485 | 3.38623514645149 |
52 | 17 | 11.9736040703518 | 5.02639592964821 |
53 | 13 | 11.8932548504187 | 1.10674514958129 |
54 | 12 | 11.8583800322372 | 0.141619967762814 |
55 | 14 | 12.0496239732845 | 1.95037602671549 |
56 | 11 | 12.2705196068717 | -1.27051960687168 |
57 | 16 | 11.2342518553045 | 4.76574814469551 |
58 | 14 | 11.374580002789 | 2.62541999721098 |
59 | 13 | 11.1417783485617 | 1.85822165143835 |
60 | 15 | 11.1964299226797 | 3.8035700773203 |
61 | 10 | 11.2595290447402 | -1.25952904474018 |
62 | 11 | 10.9916719209794 | 0.00832807902059084 |
63 | 14 | 11.557257878716 | 2.44274212128404 |
64 | 16 | 11.8621292839631 | 4.13787071603694 |
65 | 13 | 11.5897471951058 | 1.41025280489423 |
66 | 15 | 11.3633292218662 | 3.63667077813378 |
67 | 17 | 11.1332333885442 | 5.86676661145575 |
68 | 11 | 11.8368816942614 | -0.836881694261437 |
69 | 13 | 11.0198095413001 | 1.98019045869989 |
70 | 14 | 11.4346192705729 | 2.56538072942714 |
71 | 10 | 11.496859369839 | -1.49685936983903 |
72 | 17 | 11.1453590375617 | 5.85464096243826 |
73 | 14 | 11.2705105212999 | 2.72948947870011 |
74 | 12 | 11.1921769959768 | 0.807823004023194 |
75 | 15 | 11.3328783735505 | 3.66712162644949 |
76 | 13 | 11.9158025426462 | 1.08419745735377 |
77 | 10 | 12.0054918996821 | -2.00549189968211 |
78 | 11 | 10.6942396459329 | 0.305760354067053 |
79 | 13 | 11.2358749339886 | 1.76412506601144 |
80 | 15 | 11.4559670476906 | 3.54403295230942 |
81 | 11 | 10.8193414995056 | 0.180658500494438 |
82 | 14 | 10.7118745138529 | 3.28812548614705 |
83 | 9 | 10.7535274812945 | -1.75352748129452 |
84 | 7 | 10.9806195083107 | -3.9806195083107 |
85 | 15 | 11.463916252259 | 3.53608374774101 |
86 | 5 | 10.4250240014889 | -5.42502400148888 |
87 | 13 | 11.1748751858408 | 1.82512481415915 |
88 | 3 | 10.3687004027122 | -7.36870040271219 |
89 | 6 | 10.1703922998419 | -4.17039229984185 |
90 | 9 | 10.9434651944378 | -1.94346519443779 |
91 | 15 | 10.2044607884459 | 4.79553921155414 |
92 | 3 | 10.5039179242369 | -7.50391792423693 |
93 | 7 | 10.6685983959441 | -3.66859839594407 |
94 | 17 | 10.4775483157782 | 6.52245168422176 |
95 | 8 | 10.3779164088661 | -2.37791640886613 |
96 | 9 | 9.87914890783472 | -0.87914890783472 |
97 | 11 | 9.64624360532678 | 1.35375639467322 |
98 | 5 | 10.4633258101367 | -5.46332581013665 |
99 | 9 | 10.4326075977856 | -1.43260759778556 |
100 | 12 | 9.69135332437143 | 2.30864667562857 |
101 | 6 | 9.93556401120006 | -3.93556401120006 |
102 | 8 | 10.4591906685296 | -2.45919066852961 |
103 | 11 | 10.3175449357456 | 0.682455064254357 |
104 | 7 | 9.88240367625961 | -2.88240367625961 |
105 | 9 | 9.99693588287179 | -0.996935882871784 |
106 | 12 | 10.0888323716214 | 1.91116762837863 |
107 | 4 | 10.0173306822361 | -6.01733068223609 |
108 | 5 | 9.77351928902578 | -4.77351928902578 |
109 | 10 | 10.0306762270644 | -0.030676227064447 |
110 | 7 | 9.92793916842568 | -2.92793916842568 |
111 | 11 | 9.39902136222173 | 1.60097863777826 |
112 | 5 | 9.74562755930742 | -4.74562755930742 |
113 | 9 | 8.87943882328655 | 0.12056117671345 |
114 | 8 | 9.50244424854167 | -1.50244424854168 |
115 | 10 | 9.27324297863903 | 0.726757021360968 |
116 | 3 | 8.87409104693996 | -5.87409104693996 |
117 | 11 | 9.41663926020461 | 1.58336073979539 |
118 | 5 | 8.26914910286088 | -3.26914910286089 |
119 | 13 | 9.24825515049858 | 3.75174484950142 |
120 | 6 | 9.3893611104989 | -3.3893611104989 |
121 | 8 | 8.74443326804824 | -0.744433268048244 |
122 | 11 | 8.92039028408975 | 2.07960971591025 |
123 | 5 | 8.84864940681417 | -3.84864940681417 |
124 | 9 | 9.02047273163905 | -0.0204727316390548 |
125 | 11 | 8.52513056049924 | 2.47486943950076 |
126 | 7 | 8.21014958434469 | -1.21014958434469 |
127 | 4 | 9.26906575972694 | -5.26906575972694 |
128 | 9 | 9.004703305568 | -0.00470330556799754 |
129 | 13 | 9.25817613617658 | 3.74182386382342 |
130 | 6 | 8.81967465613854 | -2.81967465613854 |
131 | 9 | 8.90834351377791 | 0.0916564862220928 |
132 | 12 | 8.85955587109916 | 3.14044412890084 |
133 | 5 | 8.59983166834339 | -3.59983166834339 |
134 | 7 | 8.58665315028312 | -1.58665315028312 |
135 | 15 | 8.51295188562204 | 6.48704811437796 |
136 | 3 | 7.7159590933034 | -4.7159590933034 |
137 | 7 | 8.36794574285916 | -1.36794574285916 |
138 | 4 | 7.90151447946006 | -3.90151447946006 |
139 | 7 | 8.16787432711984 | -1.16787432711984 |
140 | 11 | 7.12344317685817 | 3.87655682314183 |
141 | 9 | 7.57604821144302 | 1.42395178855698 |
142 | 6 | 6.78833512669816 | -0.788335126698159 |
143 | 10 | 7.4310096871734 | 2.5689903128266 |
144 | 7 | 7.18120590133494 | -0.181205901334939 |
145 | 9 | 6.4460430421393 | 2.5539569578607 |
Goldfeld-Quandt test for Heteroskedasticity | |||
p-values | Alternative Hypothesis | ||
breakpoint index | greater | 2-sided | less |
10 | 0.747873052944796 | 0.504253894110409 | 0.252126947055204 |
11 | 0.777218814822032 | 0.445562370355935 | 0.222781185177968 |
12 | 0.783088107909251 | 0.433823784181498 | 0.216911892090749 |
13 | 0.709739145934377 | 0.580521708131245 | 0.290260854065623 |
14 | 0.658186599582983 | 0.683626800834035 | 0.341813400417017 |
15 | 0.569348018103165 | 0.86130396379367 | 0.430651981896835 |
16 | 0.619581924392274 | 0.760836151215453 | 0.380418075607727 |
17 | 0.572747744606162 | 0.854504510787677 | 0.427252255393838 |
18 | 0.484308946812953 | 0.968617893625907 | 0.515691053187047 |
19 | 0.420255421345874 | 0.840510842691748 | 0.579744578654126 |
20 | 0.349909187079904 | 0.699818374159808 | 0.650090812920096 |
21 | 0.415184918249534 | 0.830369836499068 | 0.584815081750466 |
22 | 0.485673068399594 | 0.971346136799187 | 0.514326931600406 |
23 | 0.421604147546216 | 0.843208295092431 | 0.578395852453784 |
24 | 0.436928610738607 | 0.873857221477213 | 0.563071389261393 |
25 | 0.367219914973497 | 0.734439829946994 | 0.632780085026503 |
26 | 0.313198129570555 | 0.62639625914111 | 0.686801870429445 |
27 | 0.270464622985746 | 0.540929245971493 | 0.729535377014254 |
28 | 0.229437636257747 | 0.458875272515494 | 0.770562363742253 |
29 | 0.190407571456714 | 0.380815142913428 | 0.809592428543286 |
30 | 0.202485943364079 | 0.404971886728158 | 0.797514056635921 |
31 | 0.31804618351924 | 0.63609236703848 | 0.68195381648076 |
32 | 0.310393506895769 | 0.620787013791537 | 0.689606493104231 |
33 | 0.32880502370731 | 0.657610047414619 | 0.67119497629269 |
34 | 0.302477024056935 | 0.604954048113869 | 0.697522975943065 |
35 | 0.266930916852085 | 0.533861833704169 | 0.733069083147915 |
36 | 0.248536438867999 | 0.497072877735998 | 0.751463561132001 |
37 | 0.2257122942413 | 0.451424588482601 | 0.7742877057587 |
38 | 0.193599716188687 | 0.387199432377375 | 0.806400283811313 |
39 | 0.155461245533287 | 0.310922491066575 | 0.844538754466713 |
40 | 0.125746497261746 | 0.251492994523493 | 0.874253502738254 |
41 | 0.121755637301183 | 0.243511274602365 | 0.878244362698817 |
42 | 0.153991660086787 | 0.307983320173574 | 0.846008339913213 |
43 | 0.162642246579206 | 0.325284493158412 | 0.837357753420794 |
44 | 0.144886624140887 | 0.289773248281773 | 0.855113375859114 |
45 | 0.115602666394746 | 0.231205332789492 | 0.884397333605254 |
46 | 0.0961800059637204 | 0.192360011927441 | 0.90381999403628 |
47 | 0.0778973819099043 | 0.155794763819809 | 0.922102618090096 |
48 | 0.0820783544801746 | 0.164156708960349 | 0.917921645519825 |
49 | 0.116822206792388 | 0.233644413584777 | 0.883177793207611 |
50 | 0.0929076814437272 | 0.185815362887454 | 0.907092318556273 |
51 | 0.0856817293876693 | 0.171363458775339 | 0.914318270612331 |
52 | 0.107634907710635 | 0.215269815421271 | 0.892365092289365 |
53 | 0.0866912843992763 | 0.173382568798553 | 0.913308715600724 |
54 | 0.0688906998265656 | 0.137781399653131 | 0.931109300173434 |
55 | 0.0545516161916874 | 0.109103232383375 | 0.945448383808313 |
56 | 0.0533445607684426 | 0.106689121536885 | 0.946655439231557 |
57 | 0.0546114534264014 | 0.109222906852803 | 0.945388546573599 |
58 | 0.0448643402372483 | 0.0897286804744967 | 0.955135659762752 |
59 | 0.0357607643245493 | 0.0715215286490985 | 0.964239235675451 |
60 | 0.0330486870107724 | 0.0660973740215448 | 0.966951312989228 |
61 | 0.0366857940763711 | 0.0733715881527422 | 0.963314205923629 |
62 | 0.0287686133825869 | 0.0575372267651738 | 0.971231386617413 |
63 | 0.0224427903461765 | 0.044885580692353 | 0.977557209653824 |
64 | 0.0201923111472661 | 0.0403846222945322 | 0.979807688852734 |
65 | 0.0150355766645319 | 0.0300711533290637 | 0.984964423335468 |
66 | 0.0131495572898013 | 0.0262991145796026 | 0.986850442710199 |
67 | 0.0187044596389614 | 0.0374089192779227 | 0.981295540361039 |
68 | 0.0188916655995919 | 0.0377833311991839 | 0.981108334400408 |
69 | 0.0158906799743315 | 0.031781359948663 | 0.984109320025669 |
70 | 0.0126715516710595 | 0.0253431033421189 | 0.987328448328941 |
71 | 0.0136335701633567 | 0.0272671403267135 | 0.986366429836643 |
72 | 0.0211375699040528 | 0.0422751398081057 | 0.978862430095947 |
73 | 0.0184785682992035 | 0.0369571365984071 | 0.981521431700796 |
74 | 0.0150806339059038 | 0.0301612678118077 | 0.984919366094096 |
75 | 0.0150786224895784 | 0.0301572449791567 | 0.984921377510422 |
76 | 0.0120167246515627 | 0.0240334493031254 | 0.987983275348437 |
77 | 0.012381607706526 | 0.0247632154130519 | 0.987618392293474 |
78 | 0.0122669670335121 | 0.0245339340670242 | 0.987733032966488 |
79 | 0.0102752467095534 | 0.0205504934191067 | 0.989724753290447 |
80 | 0.00963879962247083 | 0.0192775992449417 | 0.990361200377529 |
81 | 0.00765730985824761 | 0.0153146197164952 | 0.992342690141752 |
82 | 0.0092193850362693 | 0.0184387700725386 | 0.990780614963731 |
83 | 0.0113920826002739 | 0.0227841652005478 | 0.988607917399726 |
84 | 0.0184546698279177 | 0.0369093396558353 | 0.981545330172082 |
85 | 0.0224687017417779 | 0.0449374034835558 | 0.977531298258222 |
86 | 0.0515403020922646 | 0.103080604184529 | 0.948459697907735 |
87 | 0.0501193941715021 | 0.100238788343004 | 0.949880605828498 |
88 | 0.161686687026153 | 0.323373374052305 | 0.838313312973847 |
89 | 0.190028145515197 | 0.380056291030394 | 0.809971854484803 |
90 | 0.174716702030551 | 0.349433404061101 | 0.825283297969449 |
91 | 0.264758462209343 | 0.529516924418686 | 0.735241537790657 |
92 | 0.459273354478756 | 0.918546708957511 | 0.540726645521244 |
93 | 0.469288193689756 | 0.938576387379512 | 0.530711806310244 |
94 | 0.697186888931302 | 0.605626222137395 | 0.302813111068698 |
95 | 0.672217936794204 | 0.655564126411591 | 0.327782063205796 |
96 | 0.629298148977097 | 0.741403702045807 | 0.370701851022903 |
97 | 0.657949581401509 | 0.684100837196982 | 0.342050418598491 |
98 | 0.74234932239982 | 0.515301355200361 | 0.25765067760018 |
99 | 0.703263092727284 | 0.593473814545432 | 0.296736907272716 |
100 | 0.751726913550118 | 0.496546172899765 | 0.248273086449882 |
101 | 0.753880706749616 | 0.492238586500767 | 0.246119293250383 |
102 | 0.728781981593334 | 0.542436036813332 | 0.271218018406666 |
103 | 0.681935244714592 | 0.636129510570816 | 0.318064755285408 |
104 | 0.652753877119233 | 0.694492245761533 | 0.347246122880767 |
105 | 0.600337400722215 | 0.799325198555571 | 0.399662599277785 |
106 | 0.600744183834089 | 0.798511632331823 | 0.399255816165911 |
107 | 0.67793371440817 | 0.64413257118366 | 0.32206628559183 |
108 | 0.707440027172425 | 0.58511994565515 | 0.292559972827575 |
109 | 0.658291435741447 | 0.683417128517106 | 0.341708564258553 |
110 | 0.623164120674792 | 0.753671758650417 | 0.376835879325208 |
111 | 0.599781990031349 | 0.800436019937301 | 0.400218009968651 |
112 | 0.654908154652733 | 0.690183690694535 | 0.345091845347267 |
113 | 0.632283525144766 | 0.735432949710469 | 0.367716474855234 |
114 | 0.583326424340818 | 0.833347151318364 | 0.416673575659182 |
115 | 0.524212735211561 | 0.951574529576878 | 0.475787264788439 |
116 | 0.563689057030602 | 0.872621885938797 | 0.436310942969398 |
117 | 0.681609512047371 | 0.636780975905259 | 0.31839048795263 |
118 | 0.631159063378963 | 0.737681873242074 | 0.368840936621037 |
119 | 0.867794855644022 | 0.264410288711957 | 0.132205144355978 |
120 | 0.88227470272553 | 0.23545059454894 | 0.11772529727447 |
121 | 0.840543118116564 | 0.318913763766871 | 0.159456881883436 |
122 | 0.801420686108344 | 0.397158627783311 | 0.198579313891656 |
123 | 0.828144599528735 | 0.343710800942531 | 0.171855400471265 |
124 | 0.781936499629853 | 0.436127000740295 | 0.218063500370147 |
125 | 0.723630389047737 | 0.552739221904525 | 0.276369610952263 |
126 | 0.644903948147932 | 0.710192103704135 | 0.355096051852068 |
127 | 0.62006789445167 | 0.759864211096661 | 0.37993210554833 |
128 | 0.534672957741062 | 0.930654084517876 | 0.465327042258938 |
129 | 0.572513750345086 | 0.854972499309828 | 0.427486249654914 |
130 | 0.489211347477908 | 0.978422694955816 | 0.510788652522092 |
131 | 0.432082290806065 | 0.86416458161213 | 0.567917709193935 |
132 | 0.634720759458897 | 0.730558481082206 | 0.365279240541103 |
133 | 0.585419359496099 | 0.829161281007801 | 0.414580640503901 |
134 | 0.450990721557732 | 0.901981443115463 | 0.549009278442268 |
135 | 0.586782820850914 | 0.826434358298172 | 0.413217179149086 |
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 | 23 | 0.182539682539683 | NOK |
10% type I error level | 28 | 0.222222222222222 | NOK |