Multiple Linear Regression - Estimated Regression Equation

Feedback_(+120_c)[t] = + 19.8506957057795 + 0.000251597513587589aantal_karakters_compendium[t] + 0.429372793977897aantal_blogs[t] + 4.12623285430093e-05tijd_compendium_seconden[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)	19.8506957057795	3.498638	5.6738	0	0
aantal_karakters_compendium	0.000251597513587589	6.9e-05	3.6591	0.000343	0.000172
aantal_blogs	0.429372793977897	0.083724	5.1284	1e-06	0
tijd_compendium_seconden	4.12623285430093e-05	7.6e-05	0.5439	0.587285	0.293643

Multiple Linear Regression - Regression Statistics
Multiple R	0.737858348091579
R-squared	0.544434941848434
Adjusted R-squared	0.535893097008092
F-TEST (value)	63.7373953782383
F-TEST (DF numerator)	3
F-TEST (DF denominator)	160
p-value	0
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation	20.1041526805069
Sum Squared Residuals	64668.312800181

Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or Index	Actuals	Interpolation Forecast	Residuals Prediction Error
1	68	76.5247955463797	-8.52479554637971
2	72	60.4208396444321	11.5791603555679
3	37	63.6686295965257	-26.6686295965257
4	70	76.1985427934137	-6.19854279341374
5	30	47.5150663650248	-17.5150663650248
6	53	34.4996667480551	18.5003332519449
7	74	96.6479529071492	-22.6479529071492
8	22	26.3010237296548	-4.30102372965479
9	68	57.2151714007957	10.7848285992043
10	47	60.663646143707	-13.663646143707
11	87	64.6205605301507	22.3794394698493
12	123	68.6511400916792	54.3488599083208
13	69	51.2205973677278	17.7794026322722
14	89	71.5347355632488	17.4652644367512
15	45	58.5231861760466	-13.5231861760466
16	122	96.4840981461772	25.5159018538228
17	75	87.0976736739192	-12.0976736739192
18	45	71.1744235603659	-26.1744235603659
19	53	76.844721301335	-23.844721301335
20	96	84.7060233443949	11.2939766556051
21	82	78.0959034859624	3.90409651403765
22	76	70.853728726023	5.146271273977
23	51	48.4912233593076	2.50877664069243
24	104	75.1490228019801	28.8509771980199
25	83	80.4854541554471	2.51454584455289
26	78	67.5444062942981	10.4555937057019
27	59	72.5805523343342	-13.5805523343342
28	83	78.0065102454725	4.99348975452753
29	71	46.5969782821035	24.4030217178965
30	81	79.1383464684832	1.86165353151676
31	93	86.7004088749786	6.29959112502135
32	72	54.5306834553979	17.4693165446021
33	107	77.4613803282611	29.5386196717389
34	75	41.9150619217305	33.0849380782695
35	92	85.0058098124379	6.99419018756206
36	69	62.3344898998022	6.66551010019781
37	102	69.6846188391644	32.3153811608356
38	51	54.6441975925412	-3.64419759254122
39	18	41.4220811619901	-23.4220811619901
40	87	77.2412256514427	9.7587743485573
41	59	71.4381123358598	-12.4381123358597
42	63	51.5911728326111	11.4088271673889
43	68	59.9173316278769	8.08266837212309
44	47	43.6908047624187	3.30919523758132
45	29	47.8072477899802	-18.8072477899802
46	69	75.0102220762116	-6.01022207621162
47	66	39.0995529866008	26.9004470133992
48	106	74.641197824657	31.358802175343
49	73	89.6709328126598	-16.6709328126598
50	87	71.047316455516	15.952683544484
51	65	67.114476311738	-2.11447631173802
52	7	25.4036400456926	-18.4036400456926
53	111	74.6068071369515	36.3931928630485
54	61	38.0933308514914	22.9066691485086
55	41	42.5985772465114	-1.59857724651144
56	70	71.5119065061705	-1.51190650617054
57	112	87.3100102290082	24.6899897709918
58	71	88.321032125832	-17.321032125832
59	90	94.0841150192984	-4.0841150192984
60	69	59.1950710002466	9.8049289997534
61	85	94.6899097905833	-9.68990979058326
62	47	94.6736142815524	-47.6736142815524
63	50	52.2946115861699	-2.29461158616987
64	76	61.5812635143068	14.4187364856932
65	60	58.8404639071644	1.1595360928356
66	35	61.0914123975558	-26.0914123975558
67	72	72.3088908493433	-0.308890849343339
68	88	66.0104448391809	21.9895551608191
69	66	85.0197980946282	-19.0197980946282
70	58	79.9432566132474	-21.9432566132474
71	81	60.5646353097323	20.4353646902677
72	63	35.970563450826	27.029436549174
73	91	59.4947319086661	31.5052680913339
74	65	63.0538293928092	1.94617060719077
75	75	76.8893977851961	-1.88939778519611
76	85	83.4958022575061	1.50419774249393
77	75	77.2720860901337	-2.27208609013369
78	70	98.144848035111	-28.144848035111
79	78	65.4515367199349	12.5484632800651
80	61	55.0908976697432	5.90910233025679
81	55	51.7019739431211	3.2980260568789
82	80	90.0391826935823	-10.0391826935823
83	83	43.8319950469305	39.1680049530695
84	38	74.7870974848529	-36.7870974848529
85	27	57.4380248591245	-30.4380248591245
86	62	35.0757462704049	26.9242537295951
87	82	58.8538444128655	23.1461555871345
88	79	59.145862764634	19.854137235366
89	59	55.9379146083228	3.06208539167723
90	89	93.7177580928764	-4.71775809287636
91	36	47.6244276059403	-11.6244276059403
92	91	88.7694416371405	2.23055836285953
93	63	42.9068122754791	20.0931877245209
94	80	68.7650280039642	11.2349719960358
95	71	63.5224834615897	7.47751653841034
96	76	71.9025946809273	4.0974053190727
97	67	88.3365652033407	-21.3365652033407
98	66	106.007779487736	-40.007779487736
99	123	84.7858187672192	38.2141812327808
100	65	101.978332360564	-36.9783323605639
101	103	77.7538237390062	25.2461762609938
102	77	96.2572646958024	-19.2572646958024
103	37	42.0294525429759	-5.02945254297591
104	64	37.2499127562485	26.7500872437515
105	22	60.9308030021034	-38.9308030021034
106	35	71.0420207773616	-36.0420207773616
107	61	75.7406905374599	-14.7406905374599
108	80	88.0572478838158	-8.05724788381584
109	54	79.4177551698945	-25.4177551698945
110	60	62.7959095900966	-2.79590959009662
111	87	68.9911321674902	18.0088678325098
112	75	74.4135899801078	0.586410019892231
113	0	25.5380483904043	-25.5380483904043
114	54	71.6611228379384	-17.6611228379384
115	30	37.0724325096055	-7.07243250960552
116	66	50.90427565446	15.09572434554
117	56	76.7859533516158	-20.7859533516158
118	0	22.0565418954203	-22.0565418954203
119	32	69.3745859887651	-37.3745859887651
120	9	31.6737624311673	-22.6737624311673
121	78	75.8956665411176	2.10433345888239
122	90	62.6555168151625	27.3444831848375
123	56	43.0315777320032	12.9684222679968
124	35	45.0454537580039	-10.0454537580039
125	21	29.5048965361467	-8.50489653614668
126	78	56.0911804370916	21.9088195629084
127	118	73.4246613258896	44.5753386741104
128	83	54.6801293464265	28.3198706535735
129	89	88.1851054759377	0.814894524062282
130	83	98.8882974355678	-15.8882974355678
131	124	114.065775160113	9.93422483988664
132	76	61.7045681131375	14.2954318868625
133	57	42.8593521422065	14.1406478577935
134	91	64.2750615342799	26.7249384657201
135	89	83.0512817100191	5.94871828998094
136	66	37.0895809494411	28.9104190505589
137	82	88.1368213748083	-6.13682137480832
138	63	50.1650429634018	12.8349570365982
139	75	75.0606187172879	-0.0606187172878873
140	59	55.8381231103434	3.16187688965656
141	19	33.3835536939467	-14.3835536939467
142	57	65.5867908325626	-8.58679083256256
143	74	82.4391314406839	-8.4391314406839
144	78	47.2737691132953	30.7262308867047
145	73	80.0725607768266	-7.07256077682658
146	112	84.4713711591265	27.5286288408735
147	79	78.8088295122381	0.191170487761875
148	100	100.060049462994	-0.0600494629936366
149	0	19.8506957057795	-19.8506957057795
150	0	23.4117180049317	-23.4117180049317
151	0	19.8506957057795	-19.8506957057795
152	0	19.8506957057795	-19.8506957057795
153	0	19.8506957057795	-19.8506957057795
154	0	19.8506957057795	-19.8506957057795
155	48	51.2150754521591	-3.21507545215905
156	55	75.7511522344545	-20.7511522344545
157	0	19.8506957057795	-19.8506957057795
158	0	19.8506957057795	-19.8506957057795
159	0	23.4450901606279	-23.4450901606279
160	13	27.4453016946036	-14.4453016946036
161	4	21.1549496040493	-17.1549496040493
162	31	42.0231845417363	-11.0231845417363
163	0	19.8506957057795	-19.8506957057795
164	29	50.6987551367219	-21.6987551367219

Goldfeld-Quandt test for Heteroskedasticity
p-values	Alternative Hypothesis
breakpoint index	greater	2-sided	less
7	0.450831151002678	0.901662302005357	0.549168848997322
8	0.30042330693751	0.600846613875021	0.69957669306249
9	0.196761873794287	0.393523747588574	0.803238126205713
10	0.113943979323432	0.227887958646863	0.886056020676568
11	0.187924682192551	0.375849364385102	0.812075317807449
12	0.904889725959368	0.190220548081265	0.0951102740406323
13	0.877739049140102	0.244521901719796	0.122260950859898
14	0.846370035930603	0.307259928138795	0.153629964069397
15	0.814541235688971	0.370917528622058	0.185458764311029
16	0.825302708113604	0.349394583772791	0.174697291886396
17	0.799303171670255	0.401393656659491	0.200696828329745
18	0.845707365509138	0.308585268981723	0.154292634490862
19	0.856328858414668	0.287342283170664	0.143671141585332
20	0.81740558969659	0.36518882060682	0.18259441030341
21	0.769605145042233	0.460789709915533	0.230394854957767
22	0.714717439916374	0.570565120167251	0.285282560083625
23	0.653528805435759	0.692942389128482	0.346471194564241
24	0.671255010035882	0.657489979928236	0.328744989964118
25	0.620102425287141	0.759795149425718	0.379897574712859
26	0.565256576013357	0.869486847973287	0.434743423986643
27	0.53122315553912	0.937553688921761	0.46877684446088
28	0.468112523194236	0.936225046388473	0.531887476805764
29	0.453626375312548	0.907252750625095	0.546373624687452
30	0.392722231127148	0.785444462254296	0.607277768872852
31	0.354531116004764	0.709062232009527	0.645468883995236
32	0.327174505564796	0.654349011129592	0.672825494435204
33	0.393216510225564	0.786433020451128	0.606783489774436
34	0.427113856940299	0.854227713880597	0.572886143059701
35	0.38570431562208	0.77140863124416	0.61429568437792
36	0.336225843348794	0.672451686697587	0.663774156651206
37	0.39433437093388	0.788668741867761	0.60566562906612
38	0.359783175320546	0.719566350641091	0.640216824679455
39	0.435301913626757	0.870603827253514	0.564698086373243
40	0.388126228145884	0.776252456291769	0.611873771854116
41	0.374737015176175	0.749474030352349	0.625262984823825
42	0.331825021494451	0.663650042988901	0.66817497850555
43	0.28858910547581	0.577178210951619	0.71141089452419
44	0.246232525135456	0.492465050270913	0.753767474864544
45	0.253275506489577	0.506551012979154	0.746724493510423
46	0.216677215458621	0.433354430917242	0.783322784541379
47	0.231503165744257	0.463006331488515	0.768496834255743
48	0.273776431973385	0.547552863946769	0.726223568026615
49	0.247711967114145	0.49542393422829	0.752288032885855
50	0.223696175151072	0.447392350302144	0.776303824848928
51	0.192858197911834	0.385716395823669	0.807141802088166
52	0.217052102666787	0.434104205333574	0.782947897333213
53	0.31423372209347	0.62846744418694	0.68576627790653
54	0.31612124105714	0.632242482114281	0.68387875894286
55	0.27839744731661	0.556794894633219	0.72160255268339
56	0.241041079622337	0.482082159244674	0.758958920377663
57	0.260277293551595	0.52055458710319	0.739722706448405
58	0.253583057482401	0.507166114964803	0.746416942517599
59	0.22261910092874	0.445238201857479	0.777380899071261
60	0.1935402249554	0.3870804499108	0.8064597750446
61	0.16821336317279	0.336426726345579	0.83178663682721
62	0.316719690590541	0.633439381181082	0.683280309409459
63	0.283010028599898	0.566020057199796	0.716989971400102
64	0.264461522974729	0.528923045949457	0.735538477025272
65	0.228309600219093	0.456619200438186	0.771690399780907
66	0.272422320412738	0.544844640825477	0.727577679587262
67	0.235370030379005	0.47074006075801	0.764629969620995
68	0.237965524595391	0.475931049190783	0.762034475404609
69	0.242688120450066	0.485376240900131	0.757311879549934
70	0.261390694826293	0.522781389652585	0.738609305173707
71	0.258491181256954	0.516982362513909	0.741508818743046
72	0.274164379806985	0.54832875961397	0.725835620193015
73	0.328338122260721	0.656676244521443	0.671661877739279
74	0.289009800382088	0.578019600764176	0.710990199617912
75	0.253188593018579	0.506377186037159	0.746811406981421
76	0.218558314121227	0.437116628242454	0.781441685878773
77	0.186819429317646	0.373638858635291	0.813180570682354
78	0.210116657184662	0.420233314369324	0.789883342815338
79	0.189765182344655	0.379530364689309	0.810234817655345
80	0.163102313655463	0.326204627310927	0.836897686344537
81	0.139590878023394	0.279181756046789	0.860409121976606
82	0.120651459967853	0.241302919935706	0.879348540032147
83	0.196603562801017	0.393207125602033	0.803396437198983
84	0.285706424349927	0.571412848699853	0.714293575650073
85	0.350566418436571	0.701132836873142	0.649433581563429
86	0.38422209943726	0.768444198874521	0.61577790056274
87	0.399175401016201	0.798350802032403	0.600824598983799
88	0.406548132024839	0.813096264049677	0.593451867975161
89	0.379047585272138	0.758095170544276	0.620952414727862
90	0.349947856336177	0.699895712672355	0.650052143663823
91	0.333824233701623	0.667648467403245	0.666175766298377
92	0.29429391527249	0.588587830544979	0.70570608472751
93	0.306851292586369	0.613702585172739	0.693148707413631
94	0.283271465370581	0.566542930741161	0.716728534629419
95	0.2556256986838	0.5112513973676	0.7443743013162
96	0.221864592543061	0.443729185086122	0.778135407456939
97	0.223946976608268	0.447893953216536	0.776053023391732
98	0.339241149576618	0.678482299153237	0.660758850423382
99	0.498071003407031	0.996142006814062	0.501928996592969
100	0.598399034259113	0.803201931481773	0.401600965740887
101	0.62960131560659	0.74079736878682	0.37039868439341
102	0.628807370062514	0.742385259874972	0.371192629937486
103	0.598031112969894	0.803937774060213	0.401968887030106
104	0.646928236462994	0.706143527074012	0.353071763537006
105	0.767896812175315	0.46420637564937	0.232103187824685
106	0.850970855623165	0.298058288753671	0.149029144376835
107	0.840960339123794	0.318079321752411	0.159039660876206
108	0.821055871174724	0.357888257650551	0.178944128825276
109	0.935290155221778	0.129419689556444	0.064709844778222
110	0.920007315005149	0.159985369989701	0.0799926849948507
111	0.917130230686445	0.165739538627109	0.0828697693135546
112	0.896522544188061	0.206954911623877	0.103477455811939
113	0.909389099849505	0.18122180030099	0.0906109001504948
114	0.907848960772641	0.184302078454719	0.0921510392273593
115	0.889555956498839	0.220888087002322	0.110444043501161
116	0.894298249908358	0.211403500183285	0.105701750091642
117	0.880356791534201	0.239286416931598	0.119643208465799
118	0.879264994164241	0.241470011671517	0.120735005835759
119	0.961230069199486	0.077539861601029	0.0387699308005145
120	0.961279477211874	0.0774410455762511	0.0387205227881255
121	0.95099277885484	0.098014442290319	0.0490072211451595
122	0.948549205079274	0.102901589841452	0.0514507949207261
123	0.934195670539543	0.131608658920914	0.0658043294604569
124	0.928608106571546	0.142783786856908	0.0713918934284541
125	0.911517468246402	0.176965063507195	0.0884825317535975
126	0.911641066655236	0.176717866689528	0.0883589333447641
127	0.988499089866965	0.0230018202660691	0.0115009101330346
128	0.995335405202584	0.0093291895948319	0.00466459479741595
129	0.993764093373854	0.0124718132522913	0.00623590662614564
130	0.992992626656257	0.0140147466874867	0.00700737334374333
131	0.991649211721398	0.0167015765572035	0.00835078827860175
132	0.992849489571743	0.014301020856514	0.00715051042825702
133	0.996207677092215	0.00758464581556959	0.00379232290778479
134	0.998515490857463	0.00296901828507419	0.0014845091425371
135	0.998338828578407	0.00332234284318686	0.00166117142159343
136	0.999653895951791	0.000692208096418678	0.000346104048209339
137	0.999497705767946	0.00100458846410826	0.000502294232054128
138	0.999766651475157	0.000466697049685179	0.00023334852484259
139	0.999737956559488	0.000524086881024745	0.000262043440512373
140	0.999831072222585	0.000337855554829914	0.000168927777414957
141	0.999753625848362	0.000492748303275976	0.000246374151637988
142	0.999666031197865	0.00066793760427077	0.000333968802135385
143	0.999524807148692	0.00095038570261608	0.00047519285130804
144	0.999997466182506	5.06763498867129e-06	2.53381749433565e-06
145	0.999991864795584	1.62704088324487e-05	8.13520441622435e-06
146	0.999999709139269	5.81721462319254e-07	2.90860731159627e-07
147	0.999998760630259	2.4787394810633e-06	1.23936974053165e-06
148	0.999995440013739	9.11997252261437e-06	4.55998626130718e-06
149	0.999983316989492	3.33660210168839e-05	1.6683010508442e-05
150	0.999960962540057	7.80749198861707e-05	3.90374599430854e-05
151	0.9998582214246	0.000283557150799239	0.000141778575399619
152	0.99950219194623	0.000995616107539882	0.000497808053769941
153	0.998323025973055	0.00335394805388902	0.00167697402694451
154	0.994625357345732	0.0107492853085365	0.00537464265426825
155	0.99884711489427	0.00230577021145956	0.00115288510572978
156	0.997417381889591	0.00516523622081829	0.00258261811040914
157	0.985746042215826	0.0285079155683488	0.0142539577841744

Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description	# significant tests	% significant tests	OK/NOK
1% type I error level	24	0.158940397350993	NOK
5% type I error level	31	0.205298013245033	NOK
10% type I error level	34	0.225165562913907	NOK