Multiple Linear Regression - Estimated Regression Equation

Long_feedback_messages[t] = + 1.65561991186834 -0.0030480464010528Page_views[t] + 0.0616782534165494Blogs[t] + 1.59550283590704Peer_reviews[t] -0.048626594619417Compendium_hours[t] + 0.986249242847325RFC_hours[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)	1.65561991186834	2.649415	0.6249	0.533032	0.266516
Page_views	-0.0030480464010528	0.001864	-1.6349	0.104271	0.052136
Blogs	0.0616782534165494	0.087419	0.7055	0.481616	0.240808
Peer_reviews	1.59550283590704	0.284997	5.5983	0	0
Compendium_hours	-0.048626594619417	0.448099	-0.1085	0.913737	0.456869
RFC_hours	0.986249242847325	0.216226	4.5612	1.1e-05	5e-06

Multiple Linear Regression - Regression Statistics
Multiple R	0.802796792090578
R-squared	0.644482689390922
Adjusted R-squared	0.632052014194801
F-TEST (value)	51.8461531029306
F-TEST (DF numerator)	5
F-TEST (DF denominator)	143
p-value	0
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation	10.7435938716866
Sum Squared Residuals	16505.747727003

Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or Index	Actuals	Interpolation Forecast	Residuals Prediction Error
1	56	76.024758270502	-20.024758270502
2	73	72.5416811819247	0.458318818075289
3	62	70.015075887865	-8.01507588786496
4	42	65.0650616686994	-23.0650616686994
5	59	61.1784537921608	-2.17845379216079
6	27	35.8566510403864	-8.85665104038645
7	78	57.0968315108132	20.9031684891868
8	56	57.5292271127386	-1.52922711273856
9	59	50.8482659565517	8.15173404344827
10	51	62.9107524049918	-11.9107524049918
11	47	57.7226190977272	-10.7226190977272
12	35	48.0294868894827	-13.0294868894827
13	47	56.0735302442794	-9.07353024427944
14	47	46.3661687789076	0.633831221092367
15	55	48.0754575390523	6.92454246094767
16	54	51.6077190675088	2.39228093249124
17	60	53.3329499275263	6.66705007247371
18	55	52.8876532034969	2.11234679650309
19	48	46.9421237262072	1.05787627379285
20	47	44.7146022727358	2.28539772726416
21	47	50.1653329570241	-3.16533295702409
22	52	46.4896189536885	5.51038104631151
23	48	39.291299283544	8.708700716456
24	48	46.7374602483398	1.26253975166018
25	27	45.0840984181244	-18.0840984181244
26	12	45.6456521024324	-33.6456521024324
27	51	45.4135243627217	5.58647563727827
28	58	51.0458513708561	6.95414862914393
29	60	48.6534835645482	11.3465164354518
30	46	46.8853816736877	-0.885381673687736
31	45	43.359284556473	1.64071544352702
32	42	42.0105613418671	-0.0105613418670928
33	41	48.1975577984624	-7.19755779846243
34	47	41.0094040685524	5.99059593144756
35	32	41.7249476367911	-9.72494763679106
36	56	42.2455860476538	13.7544139523462
37	42	34.8156542763941	7.18434572360593
38	41	48.4052922041624	-7.40529220416241
39	47	43.8621450613799	3.13785493862012
40	47	46.9223235654023	0.0776764345976736
41	49	41.7090843212446	7.29091567875536
42	52	42.0231086407156	9.97689135928444
43	42	40.8112823727474	1.18871762725258
44	55	40.6513042315017	14.3486957684983
45	48	41.1598218180415	6.84017818195847
46	48	38.949520444626	9.05047955537404
47	38	40.3608714790892	-2.36087147908918
48	48	41.4387768819022	6.56122311809776
49	50	34.2728766865079	15.7271233134921
50	39	40.1611002728763	-1.16110027287635
51	48	41.2780509526985	6.72194904730147
52	36	40.0824539699491	-4.08245396994912
53	49	39.0915503537229	9.90844964627707
54	39	39.8857679507909	-0.885767950790856
55	41	40.3067989657963	0.69320103420366
56	45	45.706274927456	-0.706274927456008
57	60	45.6564313700055	14.3435686299945
58	45	43.0768655183401	1.9231344816599
59	41	41.8757198944846	-0.875719894484572
60	52	39.2369468557183	12.7630531442817
61	46	40.8051552429321	5.19484475706793
62	39	34.1357788297016	4.86422117029841
63	32	39.5976934921953	-7.59769349219535
64	52	41.3416676429481	10.6583323570519
65	54	43.9497378072309	10.0502621927691
66	51	42.5942767145899	8.4057232854101
67	52	38.8192194309509	13.1807805690491
68	45	38.0330190732281	6.96698092677185
69	57	42.4331214219682	14.5668785780318
70	47	36.7439773950585	10.2560226049415
71	41	36.361073903722	4.63892609627802
72	27	32.4522258171723	-5.4522258171723
73	43	36.4679595606781	6.53204043932187
74	31	31.2369809017562	-0.236980901756208
75	32	35.0285962084943	-3.02859620849429
76	41	33.2240124854436	7.77598751455639
77	40	36.2225084957603	3.77749150423967
78	46	38.9788951979066	7.02110480209342
79	32	39.9778681383023	-7.97786813830228
80	9	28.3641289358481	-19.3641289358481
81	64	35.9492141185072	28.0507858814928
82	30	36.1131945034251	-6.11319450342514
83	46	36.5093114991733	9.49068850082668
84	37	34.0788592912185	2.92114070878145
85	22	40.3569138184752	-18.3569138184752
86	20	33.9297479936271	-13.9297479936271
87	21	33.3017448842344	-12.3017448842344
88	44	33.758303472751	10.241696527249
89	24	34.3611748749264	-10.3611748749264
90	33	36.3375155314356	-3.33751553143555
91	45	34.3717597076971	10.6282402923029
92	35	26.2099215068994	8.79007849310064
93	31	38.9022257313214	-7.90222573132139
94	20	33.104790925054	-13.104790925054
95	13	33.1681947112647	-20.1681947112647
96	33	30.0445434672774	2.95545653272257
97	58	36.6765199038921	21.3234800961079
98	26	32.630309936665	-6.63030993666496
99	36	30.5617804907075	5.4382195092925
100	32	33.5800792106732	-1.58007921067318
101	34	30.5326591373255	3.46734086267452
102	15	33.170887070515	-18.170887070515
103	40	24.0942380343985	15.9057619656015
104	37	37.1451369191111	-0.14513691911114
105	26	30.2840803069629	-4.28408030696293
106	31	34.3437383657662	-3.34373836576623
107	47	31.1963080001898	15.8036919998102
108	21	29.9593739928413	-8.95937399284127
109	21	25.5296914905945	-4.5296914905945
110	9	25.2218772035971	-16.2218772035971
111	28	17.9595532815436	10.0404467184564
112	24	28.3872425982309	-4.38724259823087
113	15	15.3290324603724	-0.329032460372398
114	19	22.2003080267574	-3.20030802675741
115	35	30.0648591582262	4.93514084177378
116	45	28.4781861553142	16.5218138446858
117	20	28.8410092278152	-8.84100922781525
118	1	31.9116590768861	-30.9116590768861
119	29	31.9246417819291	-2.92464178192906
120	33	27.82575076877	5.17424923122997
121	32	27.8320256063912	4.16797439360878
122	11	24.4633005760799	-13.4633005760799
123	10	28.3637489394094	-18.3637489394094
124	18	17.6689580179273	0.331041982072697
125	41	26.431315247044	14.568684752956
126	0	21.3397754484555	-21.3397754484555
127	10	16.5567846139577	-6.55678461395768
128	24	24.881883436476	-0.881883436475981
129	28	23.3938161470229	4.60618385297707
130	38	29.6259735795639	8.37402642043608
131	4	10.4163570176496	-6.41635701764963
132	25	6.14206245310281	18.8579375468972
133	40	18.6749398377231	21.3250601622769
134	0	24.6599878238188	-24.6599878238188
135	23	20.2628753330153	2.73712466698466
136	13	19.3109085229967	-6.31090852299674
137	6	11.245000997831	-5.24500099783102
138	31	26.953421894011	4.04657810598901
139	0	4.15425478164877	-4.15425478164877
140	3	5.60893570848766	-2.60893570848766
141	0	2.92401967891979	-2.92401967891979
142	7	12.5153249727683	-5.51532497276834
143	0	2.59178262120504	-2.59178262120504
144	2	3.49400435591666	-1.49400435591666
145	0	12.8170815664726	-12.8170815664726
146	0	5.52645679081439	-5.52645679081439
147	5	2.56566799468934	2.43433200531066
148	0	2.32487232900617	-2.32487232900617
149	0	1.62209140145676	-1.62209140145676

Goldfeld-Quandt test for Heteroskedasticity
p-values	Alternative Hypothesis
breakpoint index	greater	2-sided	less
9	0.161132306359758	0.322264612719516	0.838867693640242
10	0.0829393190087013	0.165878638017403	0.917060680991299
11	0.0386525923373007	0.0773051846746015	0.961347407662699
12	0.325490395609454	0.650980791218907	0.674509604390546
13	0.654723038426239	0.690553923147521	0.345276961573761
14	0.623874202462497	0.752251595075005	0.376125797537503
15	0.540737901877291	0.918524196245418	0.459262098122709
16	0.515135381164905	0.969729237670189	0.484864618835095
17	0.504769780841702	0.990460438316596	0.495230219158298
18	0.438837238350318	0.877674476700636	0.561162761649682
19	0.355028857289021	0.710057714578043	0.644971142710979
20	0.279999350339549	0.559998700679097	0.720000649660452
21	0.225867975289579	0.451735950579157	0.774132024710421
22	0.171125895791396	0.342251791582792	0.828874104208604
23	0.126089636013389	0.252179272026779	0.873910363986611
24	0.138762657897086	0.277525315794172	0.861237342102914
25	0.224812929340414	0.449625858680829	0.775187070659585
26	0.928310997142776	0.143378005714449	0.0716890028572243
27	0.918331926145975	0.16333614770805	0.0816680738540251
28	0.906870134794547	0.186259730410906	0.0931298652054532
29	0.90431110193794	0.19137779612412	0.0956888980620599
30	0.877298138625654	0.245403722748692	0.122701861374346
31	0.844214776214202	0.311570447571597	0.155785223785798
32	0.808016836939628	0.383966326120743	0.191983163060372
33	0.792779750193071	0.414440499613857	0.207220249806929
34	0.758589348310745	0.48282130337851	0.241410651689255
35	0.775292539286673	0.449414921426655	0.224707460713327
36	0.781867582726715	0.436264834546571	0.218132417273285
37	0.746042238264934	0.507915523470133	0.253957761735066
38	0.729719498919358	0.540561002161285	0.270280501080642
39	0.683150893120681	0.633698213758637	0.316849106879319
40	0.635415798853146	0.729168402293707	0.364584201146854
41	0.592133466423909	0.815733067152182	0.407866533576091
42	0.564239504426396	0.871520991147208	0.435760495573604
43	0.516052628676362	0.967894742647275	0.483947371323638
44	0.513299362857698	0.973401274284603	0.486700637142302
45	0.464666343559393	0.929332687118787	0.535333656440606
46	0.422329738608332	0.844659477216664	0.577670261391668
47	0.393213387408438	0.786426774816876	0.606786612591562
48	0.347112944847697	0.694225889695394	0.652887055152303
49	0.341106273738138	0.682212547476276	0.658893726261862
50	0.308307590458295	0.616615180916591	0.691692409541705
51	0.266054966182122	0.532109932364244	0.733945033817878
52	0.255091170944158	0.510182341888317	0.744908829055842
53	0.225909981327757	0.451819962655515	0.774090018672243
54	0.197635405066765	0.395270810133529	0.802364594933235
55	0.169058116342166	0.338116232684332	0.830941883657834
56	0.143068243683594	0.286136487367187	0.856931756316406
57	0.148712292512017	0.297424585024035	0.851287707487983
58	0.122703145517857	0.245406291035714	0.877296854482143
59	0.104315650866393	0.208631301732786	0.895684349133607
60	0.0939436027361105	0.187887205472221	0.90605639726389
61	0.0747307432187691	0.149461486437538	0.925269256781231
62	0.0588554275658502	0.1177108551317	0.94114457243415
63	0.0673585353613504	0.134717070722701	0.93264146463865
64	0.0581231675954394	0.116246335190879	0.941876832404561
65	0.0505785428056393	0.101157085611279	0.949421457194361
66	0.0414916413287993	0.0829832826575985	0.958508358671201
67	0.0372993783714371	0.0745987567428741	0.962700621628563
68	0.0296540929593941	0.0593081859187881	0.970345907040606
69	0.0301264877234956	0.0602529754469913	0.969873512276504
70	0.025568544619944	0.051137089239888	0.974431455380056
71	0.0202408270622557	0.0404816541245113	0.979759172937744
72	0.0213049279594306	0.0426098559188612	0.978695072040569
73	0.0166443920066485	0.0332887840132969	0.983355607993352
74	0.0139086363200448	0.0278172726400895	0.986091363679955
75	0.0124893468322007	0.0249786936644014	0.987510653167799
76	0.00940999666720309	0.0188199933344062	0.990590003332797
77	0.00701264099617487	0.0140252819923497	0.992987359003825
78	0.00582532120474636	0.0116506424094927	0.994174678795254
79	0.00685013843894669	0.0137002768778934	0.993149861561053
80	0.0266202120842935	0.053240424168587	0.973379787915707
81	0.128987246231484	0.257974492462968	0.871012753768516
82	0.123664790216895	0.247329580433791	0.876335209783105
83	0.118077189921113	0.236154379842226	0.881922810078887
84	0.0987153182373591	0.197430636474718	0.901284681762641
85	0.208702372507919	0.417404745015837	0.791297627492081
86	0.257898272999946	0.515796545999891	0.742101727000055
87	0.287345461535648	0.574690923071296	0.712654538464352
88	0.300663828810332	0.601327657620664	0.699336171189668
89	0.302269178286236	0.604538356572471	0.697730821713764
90	0.270519285284442	0.541038570568883	0.729480714715558
91	0.263184323748714	0.526368647497428	0.736815676251286
92	0.232792226836956	0.465584453673912	0.767207773163044
93	0.223095610213243	0.446191220426486	0.776904389786757
94	0.269889415041578	0.539778830083156	0.730110584958422
95	0.400491337410248	0.800982674820497	0.599508662589752
96	0.362952626452888	0.725905252905777	0.637047373547112
97	0.460206705505908	0.920413411011816	0.539793294494092
98	0.468211714996186	0.936423429992373	0.531788285003814
99	0.460335870117734	0.920671740235469	0.539664129882266
100	0.414905073623243	0.829810147246486	0.585094926376757
101	0.378866926412134	0.757733852824269	0.621133073587866
102	0.415140422372833	0.830280844745667	0.584859577627167
103	0.423333842044203	0.846667684088406	0.576666157955797
104	0.372757303773524	0.745514607547048	0.627242696226476
105	0.342129677862188	0.684259355724376	0.657870322137812
106	0.302925677790998	0.605851355581995	0.697074322209002
107	0.414537372784842	0.829074745569685	0.585462627215158
108	0.393759763763034	0.787519527526068	0.606240236236966
109	0.353995463702163	0.707990927404326	0.646004536297837
110	0.437465206493764	0.874930412987529	0.562534793506236
111	0.388370121454431	0.776740242908862	0.611629878545569
112	0.372378900106927	0.744757800213854	0.627621099893073
113	0.343865619190816	0.687731238381632	0.656134380809184
114	0.378710553964516	0.757421107929032	0.621289446035484
115	0.332464447311901	0.664928894623802	0.667535552688099
116	0.38310539742929	0.76621079485858	0.61689460257071
117	0.362264188478195	0.724528376956389	0.637735811521805
118	0.537803813951066	0.924392372097867	0.462196186048934
119	0.476196185147263	0.952392370294526	0.523803814852737
120	0.432655044032131	0.865310088064261	0.567344955967869
121	0.373687157601009	0.747374315202018	0.626312842398991
122	0.361811477557512	0.723622955115025	0.638188522442488
123	0.443214809011402	0.886429618022805	0.556785190988598
124	0.38348250984658	0.76696501969316	0.61651749015342
125	0.419609997254042	0.839219994508083	0.580390002745958
126	0.750357147483961	0.499285705032078	0.249642852516039
127	0.779044072286107	0.441911855427786	0.220955927713893
128	0.717701229465342	0.564597541069316	0.282298770534658
129	0.658198794093447	0.683602411813106	0.341801205906553
130	0.636209268944425	0.72758146211115	0.363790731055575
131	0.647634331432663	0.704731337134675	0.352365668567337
132	0.577744116497362	0.844511767005275	0.422255883502638
133	0.942985645331052	0.114028709337897	0.0570143546689484
134	0.995133220260083	0.00973355947983338	0.00486677973991669
135	0.997225156826508	0.0055496863469834	0.0027748431734917
136	0.992398316686002	0.0152033666279959	0.00760168331399793
137	0.982052616202196	0.0358947675956088	0.0179473837978044
138	0.995262711055833	0.0094745778883339	0.00473728894416695
139	0.985413741727332	0.0291725165453366	0.0145862582726683
140	0.947675834492307	0.104648331015385	0.0523241655076927

Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description	# significant tests	% significant tests	OK/NOK
1% type I error level	3	0.0227272727272727	NOK
5% type I error level	15	0.113636363636364	NOK
10% type I error level	22	0.166666666666667	NOK