Multiple Linear Regression - Estimated Regression Equation

Score_op_20[t] = + 2.18333042035118 + 0.05873548578048Blogs[t] + 0.21287615177627Reviews[t] + 2.27085778483719e-05Compendium_Writing[t] + 0.0102403804219312Gedeelde_compendia[t] -0.00707953190265559t + 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)	2.18333042035118	0.889929	2.4534	0.015782	0.007891
Blogs	0.05873548578048	0.013419	4.3772	2.8e-05	1.4e-05
Reviews	0.21287615177627	0.042559	5.002	2e-06	1e-06
Compendium_Writing	2.27085778483719e-05	1e-05	2.2454	0.026819	0.013409
Gedeelde_compendia	0.0102403804219312	0.097251	0.1053	0.916338	0.458169
t	-0.00707953190265559	0.007974	-0.8878	0.376648	0.188324

Multiple Linear Regression - Regression Statistics
Multiple R	0.89102546186053
R-squared	0.79392637368377
Adjusted R-squared	0.78420591961225
F-TEST (value)	81.675852572554
F-TEST (DF numerator)	5
F-TEST (DF denominator)	106
p-value	0
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation	2.47834946368829
Sum Squared Residuals	651.07490280139

Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or Index	Actuals	Interpolation Forecast	Residuals Prediction Error
1	12	13.297219053249	-1.29721905324897
2	13	11.6512158918036	1.34878410819642
3	11	12.4538048223736	-1.45380482237355
4	12	12.937999740506	-0.937999740506045
5	8	8.96783917937113	-0.967839179371134
6	7	6.36115346546712	0.638846534532878
7	18	16.3104778838261	1.6895221161739
8	0	6.17282226687817	-6.17282226687817
9	9	9.6676351024974	-0.667635102497396
10	11	11.4171834742356	-0.41718347423559
11	13	13.6384234606485	-0.638423460648512
12	13	15.5366546026234	-2.53665460262338
13	9	10.5777937453148	-1.57779374531477
14	12	14.3104773961599	-2.31047739615992
15	11	12.5691171647886	-1.5691171647886
16	17	19.6938735964618	-2.69387359646177
17	14	13.7823326038889	0.217667396111125
18	15	12.545430103767	2.45456989623302
19	13	12.4270168521431	0.572983147856913
20	15	15.2689967426674	-0.268996742667417
21	13	14.6045894098873	-1.60458940988734
22	13	13.5814522862257	-0.581452286225652
23	8	8.76164077730522	-0.76164077730522
24	16	13.8489995415706	2.15100045842941
25	14	14.7541691408578	-0.754169140857802
26	14	12.6499485849854	1.35005141501458
27	14	13.0791910722523	0.920808927747732
28	14	14.575408809298	-0.575408809297976
29	12	9.97419186174774	2.02580813825226
30	14	15.4884977806	-1.48849778059998
31	2	3.62699481275792	-1.62699481275792
32	12	15.9797438975946	-3.9797438975946
33	13	14.4169311013551	-1.41693110135506
34	16	17.1598616125073	-1.15986161250733
35	15	16.7784112932853	-1.77841129328529
36	16	14.6424066247847	1.3575933752153
37	15	13.753284542487	1.24671545751301
38	16	12.8859256657791	3.1140743342209
39	14	13.4004877229529	0.599512277047124
40	17	14.8573072146842	2.14269278531583
41	18	17.0648554866229	0.93514451337709
42	16	15.1286234941684	0.871376505831592
43	10	10.0498592075962	-0.0498592075961631
44	15	15.4408249799866	-0.440824979986581
45	10	9.09739920221264	0.902600797787364
46	16	16.673003591654	-0.673003591654006
47	17	16.8497955250472	0.150204474952792
48	17	15.708313107141	1.291686892859
49	13	14.6709239913557	-1.67092399135569
50	14	16.2052434598163	-2.20524345981629
51	12	8.87857660676728	3.12142339323273
52	7	7.11013386515973	-0.110133865159731
53	14	10.6216425268635	3.37835747313647
54	12	12.4546900707349	-0.454690070734902
55	16	13.1744933436117	2.82550665638826
56	14	15.2976881557056	-1.29768815570559
57	8	9.41059828496034	-1.41059828496034
58	14	10.7598520991888	3.24014790081115
59	15	12.1935247765757	2.80647522342427
60	16	14.4405741960513	1.55942580394867
61	0	2.80182175864356	-2.80182175864356
62	12	12.4882660423876	-0.4882660423876
63	8	6.02969337551005	1.97030662448995
64	12	11.5296715364382	0.47032846356183
65	15	14.7717771275302	0.228222872469825
66	0	2.10139946040975	-2.10139946040975
67	11	10.7959429618117	0.204057038188255
68	15	4.76090155082473	10.2390984491753
69	17	14.193757897321	2.80624210267902
70	13	10.8917883969144	2.10821160308564
71	8	7.30059786467335	0.699402135326653
72	15	7.0696364631533	7.9303635368467
73	12	4.62683562220895	7.37316437779105
74	10	10.0078731405501	-0.0078731405501307
75	13	15.461344666396	-2.46134466639601
76	17	11.3269745384562	5.67302546154378
77	17	16.2770538931144	0.722946106885587
78	16	17.4441140799602	-1.44411407996023
79	18	19.1091834384884	-1.10918343848844
80	14	11.1726322017953	2.82736779820469
81	9	8.62801803197316	0.371981968026839
82	10	11.5497893243347	-1.54978932433471
83	15	14.8254333587688	0.174566641231156
84	2	6.20003053751455	-4.20003053751455
85	11	13.6932761694993	-2.69327616949928
86	15	10.1115107147726	4.88848928522739
87	14	13.7980150621664	0.201984937833575
88	13	10.9414403651402	2.05855963485975
89	4	4.4787892490327	-0.478789249032698
90	12	11.5016001002843	0.49839989971574
91	11	13.7913880644806	-2.79138806448063
92	9	8.68883493799912	0.311165062000881
93	15	14.513993826267	0.486006173733012
94	16	15.0777479746565	0.922252025343459
95	14	12.8780622759613	1.12193772403869
96	16	16.6901206318271	-0.690120631827068
97	0	1.58877924959096	-1.58877924959096
98	0	1.90507955664095	-1.90507955664095
99	0	1.48245676198827	-1.48245676198827
100	0	1.47537723008562	-1.47537723008562
101	0	1.47853807860489	-1.47853807860489
102	0	1.46121816628031	-1.46121816628031
103	10	9.64189045285694	0.358109547143062
104	12	15.3612052195623	-3.36120521956235
105	0	1.43997957057234	-1.43997957057234
106	0	1.43290003866968	-1.43290003866968
107	2	1.93336682019673	0.0666331798032738
108	4	3.67638636405212	0.323613635947883
109	0	1.798712386835	-1.798712386835
110	5	8.71558835267557	-3.71558835267557
111	0	1.39750237915641	-1.39750237915641
112	3	8.04417585815706	-5.04417585815706

Goldfeld-Quandt test for Heteroskedasticity
p-values	Alternative Hypothesis
breakpoint index	greater	2-sided	less
9	0.278494420483909	0.556988840967817	0.721505579516092
10	0.299231619209012	0.598463238418025	0.700768380790988
11	0.193792385085645	0.387584770171289	0.806207614914355
12	0.191883869002634	0.383767738005268	0.808116130997366
13	0.137573184188367	0.275146368376734	0.862426815811633
14	0.0895765943750396	0.179153188750079	0.91042340562496
15	0.0533934698700388	0.106786939740078	0.946606530129961
16	0.0329183174399665	0.065836634879933	0.967081682560033
17	0.0201129866553043	0.0402259733106087	0.979887013344696
18	0.045435409313169	0.090870818626338	0.95456459068683
19	0.027031303672586	0.0540626073451721	0.972968696327414
20	0.0153725412576064	0.0307450825152127	0.984627458742394
21	0.00974907549011827	0.0194981509802365	0.990250924509882
22	0.00669975843167137	0.0133995168633427	0.993300241568329
23	0.00468284017192569	0.00936568034385137	0.995317159828074
24	0.00802150369073676	0.0160430073814735	0.991978496309263
25	0.00464528368108771	0.00929056736217542	0.995354716318912
26	0.00371502698999553	0.00743005397999107	0.996284973010005
27	0.00217655628852058	0.00435311257704115	0.99782344371148
28	0.00140911539028047	0.00281823078056093	0.99859088460972
29	0.00257740578927632	0.00515481157855264	0.997422594210724
30	0.00294276924860633	0.00588553849721266	0.997057230751394
31	0.00516976630962099	0.010339532619242	0.99483023369038
32	0.0194394416819478	0.0388788833638957	0.980560558318052
33	0.0204372242123642	0.0408744484247284	0.979562775787636
34	0.0153202992754242	0.0306405985508484	0.984679700724576
35	0.0126348506294802	0.0252697012589604	0.98736514937052
36	0.00855870472369735	0.0171174094473947	0.991441295276303
37	0.00565259909000962	0.0113051981800192	0.99434740090999
38	0.0045181277243376	0.0090362554486752	0.995481872275662
39	0.00281884989950655	0.0056376997990131	0.997181150100493
40	0.00266338926081708	0.00532677852163415	0.997336610739183
41	0.00216088876959991	0.00432177753919981	0.9978391112304
42	0.0012997895228307	0.00259957904566141	0.99870021047717
43	0.000965389674556472	0.00193077934911294	0.999034610325443
44	0.000689307321027276	0.00137861464205455	0.999310692678973
45	0.000653124245275087	0.00130624849055017	0.999346875754725
46	0.000479940139398412	0.000959880278796824	0.999520059860602
47	0.000322371919308871	0.000644743838617741	0.999677628080691
48	0.000186285940717123	0.000372571881434246	0.999813714059283
49	0.000170480663747957	0.000340961327495913	0.999829519336252
50	0.000232002154535539	0.000464004309071079	0.999767997845464
51	0.00055165159399687	0.00110330318799374	0.999448348406003
52	0.000454097536549482	0.000908195073098964	0.99954590246345
53	0.000367257287575207	0.000734514575150414	0.999632742712425
54	0.000276186393581012	0.000552372787162025	0.99972381360642
55	0.000271829186828341	0.000543658373656682	0.999728170813172
56	0.000305691064591508	0.000611382129183015	0.999694308935408
57	0.000405459108761832	0.000810918217523663	0.999594540891238
58	0.000345061312172556	0.000690122624345113	0.999654938687827
59	0.000422512348002131	0.000845024696004263	0.999577487651998
60	0.000271722540321593	0.000543445080643185	0.999728277459678
61	0.00327831362903136	0.00655662725806273	0.996721686370969
62	0.00305646359924089	0.00611292719848179	0.99694353640076
63	0.00209396189985524	0.00418792379971047	0.997906038100145
64	0.00184612978601673	0.00369225957203347	0.998153870213983
65	0.00132217426800323	0.00264434853600646	0.998677825731997
66	0.0089886470507313	0.0179772941014626	0.991011352949269
67	0.00877880435739711	0.0175576087147942	0.991221195642603
68	0.220589803595707	0.441179607191413	0.779410196404293
69	0.192230039443711	0.384460078887423	0.807769960556289
70	0.158833411500416	0.317666823000833	0.841166588499584
71	0.146901583112692	0.293803166225384	0.853098416887308
72	0.396191681416106	0.792383362832213	0.603808318583894
73	0.685400140259898	0.629199719480204	0.314599859740102
74	0.64818580470925	0.703628390581499	0.35181419529075
75	0.739981657784233	0.520036684431533	0.260018342215767
76	0.864338500371848	0.271322999256304	0.135661499628152
77	0.829162559135729	0.341674881728542	0.170837440864271
78	0.830460070480323	0.339079859039355	0.169539929519677
79	0.813751373746542	0.372497252506916	0.186248626253458
80	0.809766277910697	0.380467444178607	0.190233722089303
81	0.767010087917679	0.465979824164643	0.232989912082321
82	0.770115281452585	0.45976943709483	0.229884718547415
83	0.717699185775219	0.564601628449563	0.282300814224781
84	0.96417448268871	0.0716510346225798	0.0358255173112899
85	0.979496913920185	0.0410061721596309	0.0205030860798155
86	0.993162781960663	0.0136744360786732	0.00683721803933661
87	0.988474129360258	0.0230517412794848	0.0115258706397424
88	0.987727789438789	0.0245444211224228	0.0122722105612114
89	0.981865786273767	0.0362684274524665	0.0181342137262332
90	0.970163742345907	0.0596725153081868	0.0298362576540934
91	0.985748873477449	0.0285022530451024	0.0142511265225512
92	0.975336080568006	0.049327838863987	0.0246639194319935
93	0.960553912255583	0.0788921754888346	0.0394460877444173
94	0.985960969746583	0.0280780605068344	0.0140390302534172
95	0.978045678389459	0.0439086432210829	0.0219543216105415
96	0.985482879172839	0.0290342416543227	0.0145171208271614
97	0.987912581740058	0.0241748365198836	0.0120874182599418
98	0.984535516864926	0.0309289662701471	0.0154644831350735
99	0.972974816418496	0.0540503671630079	0.027025183581504
100	0.957136292310984	0.085727415378033	0.0428637076890165
101	0.910820108790968	0.178359782418063	0.0891798912090316
102	0.869901080539451	0.260197838921097	0.130098919460548
103	0.87324168911134	0.253516621777319	0.12675831088866

Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description	# significant tests	% significant tests	OK/NOK
1% type I error level	35	0.368421052631579	NOK
5% type I error level	61	0.642105263157895	NOK
10% type I error level	69	0.726315789473684	NOK