Multiple Linear Regression - Estimated Regression Equation

AantalurenRFC[t] = -0.0992742116382974 + 0.246966684905508`#logins`[t] + 0.80493782844676`otaal#peer_reviews`[t] + 0.000133114330761128`totaal#karakterscompendium`[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)	-0.0992742116382974	2.355258	-0.0422	0.966432	0.483216
`#logins`	0.246966684905508	0.034272	7.2061	0	0
`otaal#peer_reviews`	0.80493782844676	0.13594	5.9213	0	0
`totaal#karakterscompendium`	0.000133114330761128	3.3e-05	4.0445	8.1e-05	4.1e-05

Multiple Linear Regression - Regression Statistics
Multiple R	0.823788024047727
R-squared	0.678626708564458
Adjusted R-squared	0.672600959350041
F-TEST (value)	112.62113380704
F-TEST (DF numerator)	3
F-TEST (DF denominator)	160
p-value	0
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation	11.0474264069462
Sum Squared Residuals	19527.3008347026

Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or Index	Actuals	Interpolation Forecast	Residuals Prediction Error
1	47.38555556	44.9094498238412	2.47610573615882
2	24.06138889	35.1172666907422	-11.0558778007422
3	31.4825	36.745333679831	-5.26283367983099
4	42.36388889	49.165735489582	-6.80184659958204
5	23.94611111	23.7916481980652	0.154462911934808
6	10.34916667	24.2124357077914	-13.8632690377914
7	85.01527778	47.6573318327695	37.3579459472305
8	9.097222222	21.3770122005606	-12.2797899785606
9	32.36166667	34.8837920138091	-2.52212534380914
10	36.26083333	28.4254575371181	7.83537579288187
11	44.96555556	47.0629090877757	-2.09735352777571
12	35.63166667	56.3800389165099	-20.7483722465099
13	28.43055556	35.7516111097651	-7.32105554976512
14	53.61777778	47.6282394419357	5.98953833806429
15	39.32611111	41.9438722432477	-2.61776113324769
16	70.43305556	67.3832762190756	3.04977934092442
17	50.30833333	43.6972944962182	6.61103883378178
18	55.12	52.6231319130697	2.49686808693031
19	31.62583333	35.0064442240837	-3.38061089408367
20	44.42777778	46.294112264799	-1.86633448479901
21	46.33944444	44.4309784777764	1.90846596222362
22	79.63194444	42.0749099350576	37.5570345049424
23	25.46027778	21.6106271297438	3.84965065025623
24	30.07722222	41.3736268900134	-11.2964046700134
25	40.65055556	48.7803020013877	-8.12974644138769
26	40.31722222	48.9936847524049	-8.67646253240486
27	44.92777778	45.5824203178865	-0.654642537886524
28	44.69583333	42.7136814773708	1.98215185262915
29	29.69111111	28.7929783451277	0.898132764872311
30	52.26388889	40.7053643289927	11.5585245610073
31	52.61138889	50.0169064428956	2.59448244710443
32	35.96777778	45.3743325618858	-9.4065547818858
33	56.675	48.2154668751491	8.45953312485091
34	17.42527778	27.0975485747887	-9.67227079478873
35	67.67361111	46.808717235919	20.8648938740809
36	46.45972222	34.0935585670728	12.3661636529272
37	73.48	52.4853686038615	20.9946313961385
38	33.89555556	33.9454073254085	-0.0498517654085003
39	22.49	16.3551829253679	6.13481707463207
40	58.27638889	54.3732814539856	3.9031074360144
41	62.27916667	40.9380784786797	21.3410881913203
42	32.21416667	35.4745119254324	-3.26034525543242
43	38.38638889	36.1613174585796	2.2250714314204
44	22.52944444	29.2309388036317	-6.70149436363172
45	25.86805556	35.6730540933478	-9.80499853334778
46	84.93222222	56.1184585121321	28.8137637078679
47	21.88888889	35.5987426677104	-13.7098537777104
48	44.12083333	45.8457149768521	-1.72488164685208
49	61.59583333	60.2619073281196	1.33392600188044
50	36.41888889	41.2325366801504	-4.8136477901504
51	35.75944444	34.8086485094261	0.950795930573938
52	6.718888889	9.83970780790965	-3.12081891890965
53	71.57277778	87.7322397981692	-16.1594620181692
54	18.06361111	22.9210449244025	-4.8574338144025
55	27.24055556	29.7137805105943	-2.47322495059433
56	48.21861111	32.1413297700151	16.0772813399849
57	50.01166667	56.7500001215168	-6.73833345151682
58	54.79611111	60.9049068151728	-6.10879570517281
59	58.90555556	50.1994968526072	8.70605870739283
60	39.32833333	37.6458831482492	1.68245018175085
61	68.08527778	60.6162393154471	7.46903846455293
62	57.46638889	51.0524622208099	6.41392666919013
63	40.47111111	44.9992473986201	-4.52813628862007
64	47.39861111	44.9687076625175	2.42990344748254
65	39.46222222	38.6631910457938	0.799031174206211
66	31.89444444	26.0325201331417	5.86192430685828
67	31.51694444	48.2863125560254	-16.7693681160254
68	40.35694444	55.2478531090229	-14.8909086690229
69	41.94416667	40.4533092363133	1.49085743368669
70	25.50333333	30.9078189082707	-5.4044855782707
71	33.00194444	35.605445844814	-2.60350140481396
72	19.2975	25.9253294678063	-6.62782946780632
73	35.175	38.667910410092	-3.49291041009197
74	40.53	37.1058072875321	3.42419271246788
75	27.33138889	34.1489178969573	-6.81752900695726
76	53.035	40.7710233231306	12.2639766768694
77	55.22138889	40.6184397072076	14.6029491827924
78	29.49805556	59.669522509425	-30.171466949425
79	24.81055556	32.4863101251166	-7.67575456511664
80	33.43388889	36.9618379443701	-3.52794905437011
81	27.44194444	26.624267966321	0.817676473678963
82	76.37583333	50.6778410566121	25.6979922733879
83	36.88833333	35.8124455590326	1.0758877709674
84	37.56972222	43.1281007394055	-5.5583785194055
85	22.48694444	20.0515951749301	2.43534926506992
86	30.34361111	28.4900750207027	1.85353608929732
87	26.84277778	36.1603987684545	-9.31762098845454
88	62.83083333	56.3281698949437	6.50266343505629
89	47.57944444	43.1702104415406	4.40923399845944
90	32.72638889	52.1667241248728	-19.4403352348728
91	37.10027778	35.5869947350352	1.51328304496478
92	42.27583333	42.2439586840462	0.0318746459537728
93	31.11222222	32.1503054633415	-1.0380832433415
94	47.11472222	38.2311778012743	8.88354441872573
95	52.07861111	41.9535869466785	10.1250241633215
96	36.25916667	34.0046641720094	2.25450249799062
97	39.53861111	39.8553844403097	-0.316773330309714
98	52.71222222	48.9721588400898	3.74006337991022
99	56.00083333	65.8727217352814	-9.87188840528139
100	68.565	51.3762599654986	17.1887400345014
101	43.31861111	52.6510980751056	-9.33248696510562
102	50.71694444	44.7515113351712	5.96543310482883
103	29.54194444	47.3352643663465	-17.7933199263464
104	12.02416667	24.4758300883266	-12.4516634183266
105	35.41472222	27.6803391040776	7.7343831159224
106	35.53611111	48.1274298781524	-12.5913187681524
107	41.39055556	34.246603054358	7.14395250564199
108	52.12583333	44.9397230887868	7.1861102412132
109	20.58666667	46.385697498155	-25.799030828155
110	26.11277778	41.4971598679861	-15.3843820879861
111	49.0625	40.8013967601757	8.26110323982434
112	39.42583333	42.0552979974263	-2.62946466742631
113	6.371666667	3.33080800419254	3.04085866280746
114	34.97972222	39.1452199989674	-4.16549777896741
115	17.1825	18.2786318145253	-1.09613181452526
116	25.35833333	32.5882673644507	-7.22993403445067
117	70.86111111	41.6608060411667	29.2003050688333
118	5.848333333	3.9660054996506	1.8823278333494
119	46.97027778	33.6634231990226	13.3068545809774
120	8.726111111	12.9116373221645	-4.18552621116452
121	52.41694444	45.6610124059817	6.75593203401831
122	38.20666667	46.0286161967644	-7.82194952676436
123	21.435	38.8523574905491	-17.4173574905491
124	20.71305556	31.5253558499398	-10.8123002899398
125	10.615	15.9049077264904	-5.28990772649043
126	25.26694444	32.2742227244267	-7.00727828442668
127	53.95111111	46.9965969108717	6.95451419912833
128	37.5725	45.5773352458527	-8.00483524585265
129	67.85333333	46.8703596729982	20.9829736570018
130	56.04111111	54.0017462183637	2.03936489163631
131	71.22277778	67.4682594112254	3.75451836877456
132	38.65111111	30.0096070564969	8.64150405350309
133	21.24166667	27.9011850806374	-6.65951841063736
134	52.63944444	76.463549386746	-23.824104946746
135	77.87055556	63.6507665817845	14.2197889782155
136	14.16638889	28.2218355419533	-14.0554466519533
137	70.35388889	56.8383396127786	13.5155492772214
138	28.6775	37.3511193592688	-8.67361935926884
139	46.68305556	36.969730091119	9.71332546888102
140	35.76888889	38.3223124571705	-2.55342356717046
141	21.04055556	33.6326974290211	-12.5921418690211
142	69.23111111	46.6040728064782	22.6270383035218
143	42.32388889	43.609514911047	-1.28562602104698
144	48.12777778	37.3202327836736	10.8075449963264
145	54.77694444	49.6032882670648	5.17365617293522
146	18.75194444	45.8006121095485	-27.0486676695485
147	38.72472222	44.5678732001398	-5.84315098013978
148	51.49055556	54.6244192646839	-3.13386370468385
149	0	-0.0992742116382943	0.0992742116382943
150	4.08	3.17214025159106	0.907859748408937
151	0.027222222	0.147692473267216	-0.120470251267216
152	0.126388889	0.394659158172725	-0.268270269172725
153	0	-0.0992742116382943	0.0992742116382943
154	0	-0.0992742116382943	0.0992742116382943
155	38.30138889	35.989428456333	2.31196043366698
156	51.46888889	44.5917992212673	6.87708966873274
157	0	-0.0992742116382943	0.0992742116382943
158	0.056388889	0.888592527983742	-0.832203638983742
159	1.999722222	1.35439917266054	0.645323049339463
160	12.96111111	9.68726207847868	3.27384903152132
161	4.874166667	2.4631039039042	2.4110627630958
162	20.43527778	28.175707153313	-7.74042937331299
163	0.269166667	0.394659158172722	-0.125492491172722
164	29.29916667	27.4905707799461	1.80859589005389

Goldfeld-Quandt test for Heteroskedasticity
p-values	Alternative Hypothesis
breakpoint index	greater	2-sided	less
7	0.800761753447256	0.398476493105487	0.199238246552744
8	0.787223839498735	0.42555232100253	0.212776160501265
9	0.728222183541206	0.543555632917587	0.271777816458794
10	0.841532173309467	0.316935653381065	0.158467826690533
11	0.788945935933636	0.422108128132729	0.211054064066364
12	0.750692216842163	0.498615566315674	0.249307783157837
13	0.6682995716161	0.663400856767801	0.3317004283839
14	0.85978659445891	0.280426811082179	0.14021340554109
15	0.824334332088893	0.351331335822214	0.175665667911107
16	0.765964472082097	0.468071055835806	0.234035527917903
17	0.701570081665396	0.596859836669207	0.298429918334604
18	0.653859972387731	0.692280055224538	0.346140027612269
19	0.608404014096148	0.783191971807704	0.391595985903852
20	0.533619618532312	0.932760762935375	0.466380381467688
21	0.459488026407476	0.918976052814952	0.540511973592524
22	0.959447842654085	0.0811043146918299	0.0405521573459149
23	0.948079155165011	0.103841689669978	0.0519208448349888
24	0.938335859178154	0.123328281643692	0.0616641408218458
25	0.928420544950292	0.143158910099416	0.071579455049708
26	0.926328914305019	0.147342171389963	0.0736710856949813
27	0.905521630875898	0.188956738248203	0.0944783691241017
28	0.880767849746706	0.238464300506587	0.119232150253294
29	0.85705279323353	0.28589441353294	0.14294720676647
30	0.876147927228508	0.247704145542984	0.123852072771492
31	0.843876041686028	0.312247916627945	0.156123958313972
32	0.81929733402673	0.361405331946539	0.18070266597327
33	0.803749743258396	0.392500513483208	0.196250256741604
34	0.778985228471544	0.442029543056912	0.221014771528456
35	0.837169468831078	0.325661062337844	0.162830531168922
36	0.863716735956364	0.272566528087273	0.136283264043636
37	0.913881832806553	0.172236334386895	0.0861181671934473
38	0.890689615376556	0.218620769246889	0.109310384623444
39	0.872867168122474	0.254265663755052	0.127132831877526
40	0.84616429029043	0.307671419419141	0.15383570970957
41	0.906090254111872	0.187819491776257	0.0939097458881283
42	0.883391271117238	0.233217457765523	0.116608728882761
43	0.856603048567652	0.286793902864697	0.143396951432348
44	0.8332065032706	0.3335869934588	0.1667934967294
45	0.828870626000747	0.342258747998507	0.171129373999253
46	0.91725592733945	0.165488145321101	0.0827440726605503
47	0.917881370614913	0.164237258770174	0.0821186293850868
48	0.898017744214409	0.203964511571182	0.101982255785591
49	0.882680986682345	0.23463802663531	0.117319013317655
50	0.859614342185659	0.280771315628682	0.140385657814341
51	0.831806447047868	0.336387105904264	0.168193552952132
52	0.800450405739428	0.399099188521144	0.199549594260572
53	0.886226854876339	0.227546290247321	0.113773145123661
54	0.864913564655399	0.270172870689203	0.135086435344601
55	0.837764623791988	0.324470752416025	0.162235376208012
56	0.851888931663496	0.296222136673009	0.148111068336504
57	0.84608402556802	0.30783194886396	0.15391597443198
58	0.843318115159082	0.313363769681836	0.156681884840918
59	0.826879445111875	0.346241109776249	0.173120554888124
60	0.795581777898327	0.408836444203347	0.204418222101673
61	0.771203605196693	0.457592789606615	0.228796394803308
62	0.748085605031371	0.503828789937257	0.251914394968629
63	0.713494889275492	0.573010221449015	0.286505110724508
64	0.67407338768561	0.65185322462878	0.32592661231439
65	0.632879635155726	0.734240729688547	0.367120364844274
66	0.59988461841328	0.80023076317344	0.40011538158672
67	0.6870011846326	0.625997630734799	0.3129988153674
68	0.709014528567364	0.581970942865273	0.290985471432636
69	0.669045106235875	0.661909787528251	0.330954893764125
70	0.641207079425543	0.717585841148915	0.358792920574457
71	0.600462809726933	0.799074380546133	0.399537190273067
72	0.56782316328283	0.86435367343434	0.43217683671717
73	0.527571957401795	0.944856085196411	0.472428042598205
74	0.484887023208049	0.969774046416098	0.515112976791951
75	0.45906318759695	0.918126375193899	0.54093681240305
76	0.462346727434926	0.924693454869852	0.537653272565074
77	0.485566060164618	0.971132120329237	0.514433939835382
78	0.816981237075394	0.366037525849211	0.183018762924606
79	0.800483816418502	0.399032367162995	0.199516183581498
80	0.770550439237102	0.458899121525796	0.229449560762898
81	0.734798532427829	0.530402935144343	0.265201467572171
82	0.868423211168818	0.263153577662363	0.131576788831182
83	0.842966821850612	0.314066356298777	0.157033178149388
84	0.821090315640787	0.357819368718426	0.178909684359213
85	0.791361267596632	0.417277464806736	0.208638732403368
86	0.758369402279535	0.483261195440931	0.241630597720465
87	0.746830759092561	0.506338481814878	0.253169240907439
88	0.723855607588568	0.552288784822864	0.276144392411432
89	0.691753125828382	0.616493748343236	0.308246874171618
90	0.766364688513956	0.467270622972088	0.233635311486044
91	0.731026713150454	0.537946573699092	0.268973286849546
92	0.6917965096668	0.616406980666401	0.3082034903332
93	0.650476250823536	0.699047498352929	0.349523749176464
94	0.636988546767977	0.726022906464046	0.363011453232023
95	0.631180329386239	0.737639341227522	0.368819670613761
96	0.58867469242639	0.822650615147219	0.41132530757361
97	0.543312438078865	0.913375123842271	0.456687561921135
98	0.502148574354804	0.995702851290392	0.497851425645196
99	0.486261448452226	0.972522896904453	0.513738551547774
100	0.555698592448254	0.888602815103493	0.444301407551746
101	0.537754974075097	0.924490051849807	0.462245025924903
102	0.507323357404792	0.985353285190417	0.492676642595208
103	0.579625250661842	0.840749498676316	0.420374749338158
104	0.589377223570303	0.821245552859395	0.410622776429697
105	0.565192217396463	0.869615565207073	0.434807782603537
106	0.576878054417035	0.84624389116593	0.423121945582965
107	0.552278790223398	0.895442419553204	0.447721209776602
108	0.526035814868835	0.947928370262331	0.473964185131166
109	0.74197895463052	0.516042090738961	0.25802104536948
110	0.771242383001956	0.457515233996088	0.228757616998044
111	0.748476444697027	0.503047110605947	0.251523555302973
112	0.708574681897248	0.582850636205504	0.291425318102752
113	0.667657644305916	0.664684711388168	0.332342355694084
114	0.626491425179047	0.747017149641905	0.373508574820953
115	0.578340722614282	0.843318554771435	0.421659277385718
116	0.541594160440342	0.916811679119316	0.458405839559658
117	0.809658576536929	0.380682846926142	0.190341423463071
118	0.773708333795413	0.452583332409173	0.226291666204587
119	0.786368855571903	0.427262288856194	0.213631144428097
120	0.751004327802036	0.497991344395928	0.248995672197964
121	0.727915213628223	0.544169572743553	0.272084786371777
122	0.705356299152588	0.589287401694824	0.294643700847412
123	0.770930712886286	0.458138574227427	0.229069287113714
124	0.774941243790638	0.450117512418725	0.225058756209362
125	0.739695115812445	0.52060976837511	0.260304884187555
126	0.718496331039938	0.563007337920124	0.281503668960062
127	0.68787186533133	0.624256269337341	0.31212813466867
128	0.67094114406518	0.658117711869641	0.32905885593482
129	0.794111882159573	0.411776235680853	0.205888117840427
130	0.752041770803752	0.495916458392497	0.247958229196248
131	0.703865572630235	0.592268854739529	0.296134427369765
132	0.68506292787319	0.629874144253619	0.314937072126809
133	0.644318099357088	0.711363801285824	0.355681900642912
134	0.983519796168776	0.0329604076624476	0.0164802038312238
135	0.977426922615454	0.0451461547690928	0.0225730773845464
136	0.971210442417419	0.0575791151651626	0.0287895575825813
137	0.971173569992637	0.0576528600147259	0.028826430007363
138	0.968861901563875	0.0622761968722495	0.0311380984361248
139	0.988447582117837	0.0231048357643259	0.0115524178821629
140	0.981514585907358	0.0369708281852837	0.0184854140926418
141	0.999999951862804	9.62743925794442e-08	4.81371962897221e-08
142	0.99999994230381	1.15392379214597e-07	5.76961896072986e-08
143	0.999999806705432	3.86589135712995e-07	1.93294567856498e-07
144	0.999999374845176	1.25030964758685e-06	6.25154823793426e-07
145	0.999999264699861	1.47060027886255e-06	7.35300139431276e-07
146	0.999999999810212	3.79575812322054e-10	1.89787906161027e-10
147	0.999999998908669	2.1826611102213e-09	1.09133055511065e-09
148	0.999999998226016	3.54796820221849e-09	1.77398410110924e-09
149	0.999999986996974	2.60060515242326e-08	1.30030257621163e-08
150	0.999999949915677	1.0016864700133e-07	5.00843235006651e-08
151	0.999999614904606	7.70190787247422e-07	3.85095393623711e-07
152	0.999997331047972	5.33790405516174e-06	2.66895202758087e-06
153	0.999981984464935	3.60310701309463e-05	1.80155350654732e-05
154	0.999886205662745	0.00022758867451098	0.00011379433725549
155	0.999963709925333	7.25801493348042e-05	3.62900746674021e-05
156	0.999642552551745	0.000714894896510025	0.000357447448255013
157	0.997141703905035	0.00571659218993006	0.00285829609496503

Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description	# significant tests	% significant tests	OK/NOK
1% type I error level	17	0.112582781456954	NOK
5% type I error level	21	0.139072847682119	NOK
10% type I error level	25	0.165562913907285	NOK