Multiple Linear Regression - Estimated Regression Equation

PR[t] = + 10.8604909962911 + 0.0136318261592929Pagevieuws[t] + 5.37631803596578e-05Time_RFC[t] -0.0015854205624214Compendium_Vieuws[t] -0.0299200727233781`Course_compendium-vieuws`[t] + 5.24476830987969e-05Compendium_writing_nbr[t] + 0.00654253313448936Inlcuded_hyperlinks[t] + 0.22633627113802Shared[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)	10.8604909962911	1.555481	6.9821	0	0
Pagevieuws	0.0136318261592929	0.003033	4.4947	1.4e-05	7e-06
Time_RFC	5.37631803596578e-05	1.7e-05	3.1274	0.002104	0.001052
Compendium_Vieuws	-0.0015854205624214	0.011902	-0.1332	0.894203	0.447101
`Course_compendium-vieuws`	-0.0299200727233781	0.006757	-4.4282	1.8e-05	9e-06
Compendium_writing_nbr	5.24476830987969e-05	2.1e-05	2.4657	0.014759	0.007379
Inlcuded_hyperlinks	0.00654253313448936	0.019712	0.3319	0.740411	0.370206
Shared	0.22633627113802	0.187729	1.2057	0.229777	0.114889

Multiple Linear Regression - Regression Statistics
Multiple R	0.815918637317371
R-squared	0.665723222721836
Adjusted R-squared	0.650723623741405
F-TEST (value)	44.382734737801
F-TEST (DF numerator)	7
F-TEST (DF denominator)	156
p-value	0
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation	8.45337755668344
Sum Squared Residuals	11147.6963700709

Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or Index	Actuals	Interpolation Forecast	Residuals Prediction Error
1	38	43.6385625676301	-5.63856256763008
2	34	31.6351619506911	2.36483804930894
3	42	37.6474863239491	4.35251367605088
4	38	32.2459643527603	5.75403564723966
5	27	27.7997134572886	-0.799713457288583
6	35	22.837308806439	12.162691193561
7	33	44.2026333288995	-11.2026333288995
8	18	15.6732312223377	2.3267687776623
9	34	37.1222950719477	-3.12229507194773
10	33	32.4703761537804	0.529623846219565
11	44	36.9587947054051	7.04120529459494
12	55	39.3075285280211	15.6924714719789
13	37	29.1405122797153	7.85948772028474
14	52	42.4574632161526	9.54253678384737
15	43	37.2148593791571	5.78514062084291
16	59	53.1295876812285	5.87041231877147
17	36	45.2659493338014	-9.26594933380137
18	39	41.9672755285711	-2.96727552857112
19	29	33.0788657288988	-4.07886572889881
20	49	46.3973559777316	2.60264402226837
21	45	41.1007002941667	3.89929970583329
22	39	41.8779843247323	-2.87798432473225
23	25	32.1993602724989	-7.19936027249885
24	52	35.5016020172497	16.4983979827503
25	41	35.9692621621004	5.03073783789957
26	38	36.172416717223	1.82758328277703
27	41	39.3350227419455	1.66497725805451
28	43	38.8974022467216	4.10259775327838
29	32	25.217520267244	6.78247973275601
30	41	41.8452484854944	-0.845248485494356
31	46	38.8719653207727	7.12803467922733
32	49	35.2263160235387	13.7736839764613
33	48	40.255867565959	7.74413243404101
34	37	24.4187536802022	12.5812463197978
35	39	45.3798745861382	-6.37987458613823
36	42	31.8188237808017	10.1811762191983
37	43	50.0644283639931	-7.06442836399311
38	36	34.0457680864394	1.95423191356057
39	17	23.6102886581663	-6.6102886581663
40	39	46.2743205272006	-7.27432052720063
41	39	35.8166465614331	3.18335343856687
42	41	29.6404353385381	11.3595646614619
43	36	32.5243606741183	3.4756393258817
44	42	34.5762425889101	7.4237574110899
45	45	27.913794906248	17.086205093752
46	41	54.0164083816301	-13.0164083816301
47	26	19.96957065831	6.03042934168996
48	52	38.9582685201779	13.0417314798221
49	47	53.6218714498342	-6.62187144983416
50	45	28.8366279402819	16.1633720597181
51	40	36.1244162005908	3.8755837994092
52	4	12.7258777592742	-8.72587775927424
53	44	51.0921298021376	-7.09212980213758
54	18	19.8121222222043	-1.8121222222043
55	14	20.9982864313035	-6.99828643130352
56	37	40.1469776800463	-3.14697768004634
57	56	52.1102256271222	3.88977437287785
58	39	55.0745085290141	-16.0745085290141
59	42	40.9175666130573	1.08243338694268
60	36	37.7893797457756	-1.78937974577555
61	46	56.8472643218241	-10.8472643218241
62	28	49.6166454133479	-21.6166454133479
63	43	34.8102433081088	8.18975669189118
64	42	40.8877107274866	1.11228927251343
65	37	33.1627203691697	3.83727963083032
66	30	36.3829749795254	-6.38297497952544
67	35	39.3629553257843	-4.36295532578431
68	44	43.5510315180517	0.448968481948311
69	36	37.97294427055	-1.97294427055004
70	28	32.9246382322475	-4.92463823224746
71	45	40.2636500557842	4.73634994421584
72	23	18.1221796670967	4.87782033290328
73	45	39.2449876376451	5.75501236235491
74	38	28.8846723944085	9.11532760559145
75	38	32.638996417553	5.36100358244701
76	45	39.5770143286041	5.42298567139586
77	36	42.1166768388565	-6.11667683885655
78	41	45.7359637149048	-4.73596371490482
79	38	36.5610898020123	1.43891019798768
80	37	30.070746491447	6.92925350855297
81	28	26.8894166413017	1.11058335869833
82	45	62.5839917338587	-17.5839917338587
83	26	21.1692727951771	4.83072720482286
84	44	44.5610333505454	-0.561033350545382
85	8	17.303952844335	-9.30395284433501
86	27	21.8800798059754	5.11992019402462
87	36	34.3036002779213	1.69639972207874
88	37	43.5294760032414	-6.52947600324137
89	57	41.9105410986667	15.0894589013333
90	45	40.1503589767495	4.84964102325053
91	37	36.1316639698771	0.868336030122884
92	38	42.6662958036895	-4.66629580368947
93	31	33.8170441605238	-2.81704416052382
94	36	37.6722288111403	-1.67222881114027
95	36	42.5294452120737	-6.52944521207367
96	36	35.4695284211359	0.530471578864083
97	35	39.2090775837735	-4.20907758377353
98	39	42.5504136898295	-3.55041368982953
99	65	58.647906799208	6.35209320079199
100	30	54.944075739205	-24.944075739205
101	51	47.3160842941235	3.68391570587645
102	41	41.5174794218384	-0.517479421838409
103	36	32.2753364739437	3.7246635260563
104	19	18.4435438291414	0.556456170858634
105	23	32.4890492244665	-9.48904922446651
106	40	36.3639841094719	3.63601589052814
107	40	31.2665491581367	8.73345084186334
108	40	38.4911464770214	1.5088535229786
109	30	32.5619788028293	-2.56197880282926
110	41	43.0988967561294	-2.0988967561294
111	40	43.8654559661364	-3.86545596613637
112	45	44.2581774216048	0.741822578395182
113	1	13.0074320457559	-12.0074320457559
114	40	33.2697570342291	6.73024296577093
115	11	18.0545506451278	-7.05455064512778
116	45	30.8400855423014	14.1599144576986
117	38	44.2977920395338	-6.29779203953378
118	0	12.9674491620791	-12.9674491620791
119	30	34.6825688967259	-4.68256889672593
120	8	14.2622909639571	-6.26229096395709
121	39	43.6186913695486	-4.61869136954856
122	48	40.7742550568246	7.22574494317543
123	48	37.2079207138324	10.7920792861676
124	29	30.8539634072712	-1.85396340727124
125	8	12.8822965421128	-4.88229654211278
126	43	33.9917364306802	9.00826356931984
127	52	44.2679805191467	7.73201948085334
128	53	32.14756003555	20.85243996445
129	48	43.0818203750937	4.91817962490635
130	48	43.8255303409289	4.17446965907108
131	50	59.9417310790571	-9.9417310790571
132	40	28.5492868871953	11.4507131128047
133	36	23.3566023980491	12.6433976019509
134	40	43.5938593033611	-3.59385930336115
135	46	54.1124698558005	-8.11246985580047
136	40	37.2066442720808	2.79335572791917
137	46	45.6604204344802	0.339579565519836
138	39	28.4171207805429	10.5828792194571
139	41	35.8002499007719	5.1997500992281
140	46	38.1539981953538	7.84600180464622
141	32	36.510597655796	-4.51059765579602
142	39	46.236747272973	-7.23674727297303
143	39	38.8788316884751	0.12116831152493
144	21	29.1715693956171	-8.17156939561709
145	45	50.9211562450738	-5.92115624507383
146	50	34.1801325589573	15.8198674410427
147	36	38.8527466076321	-2.85274660763213
148	44	48.1194163106216	-4.11941631062165
149	0	12.9248348520323	-12.9248348520323
150	0	12.2773514838768	-12.2773514838768
151	0	10.9339189187629	-10.9339189187629
152	0	10.9940078526291	-10.9940078526291
153	0	11.0868272674292	-11.0868272674292
154	0	10.8604909962911	-10.8604909962911
155	37	35.7691376539142	1.23086234608577
156	47	47.9706343849294	-0.970634384929408
157	0	10.8604909962911	-10.8604909962911
158	0	10.9259322265413	-10.9259322265413
159	0	11.2173316900449	-11.2173316900449
160	5	12.4792969767016	-7.47929697670156
161	1	11.8822569341714	-10.8822569341714
162	43	25.7353195896662	17.2646804103338
163	0	11.3079104766791	-11.3079104766791
164	32	34.5352349230194	-2.53523492301942

Goldfeld-Quandt test for Heteroskedasticity
p-values	Alternative Hypothesis
breakpoint index	greater	2-sided	less
11	0.398779820525589	0.797559641051178	0.601220179474411
12	0.500854940040822	0.998290119918356	0.499145059959178
13	0.358688852037879	0.717377704075758	0.641311147962121
14	0.377457695346112	0.754915390692223	0.622542304653888
15	0.29602583910275	0.592051678205499	0.70397416089725
16	0.212259006661996	0.424518013323992	0.787740993338004
17	0.147991851292069	0.295983702584139	0.852008148707931
18	0.106388334817497	0.212776669634994	0.893611665182503
19	0.0667500625132824	0.133500125026565	0.933249937486718
20	0.0412976463370961	0.0825952926741921	0.958702353662904
21	0.0253462580541847	0.0506925161083695	0.974653741945815
22	0.0152521045759934	0.0305042091519869	0.984747895424007
23	0.0287179124581946	0.0574358249163892	0.971282087541805
24	0.0871600521644785	0.174320104328957	0.912839947835521
25	0.0882060628394777	0.176412125678955	0.911793937160522
26	0.0610573512048009	0.122114702409602	0.938942648795199
27	0.0452197596331149	0.0904395192662298	0.954780240366885
28	0.0317899482713138	0.0635798965426277	0.968210051728686
29	0.0215035367792781	0.0430070735585561	0.978496463220722
30	0.0140776135032238	0.0281552270064477	0.985922386496776
31	0.021560828418995	0.0431216568379901	0.978439171581005
32	0.0205586316734827	0.0411172633469654	0.979441368326517
33	0.0223712751948027	0.0447425503896054	0.977628724805197
34	0.0306101435948612	0.0612202871897225	0.969389856405139
35	0.0354661913554281	0.0709323827108563	0.964533808644572
36	0.0329298848851845	0.065859769770369	0.967070115114815
37	0.0300549017785924	0.0601098035571849	0.969945098221408
38	0.0224869395486363	0.0449738790972725	0.977513060451364
39	0.0414343331224835	0.0828686662449671	0.958565666877516
40	0.0384995213016766	0.0769990426033532	0.961500478698323
41	0.027853233437101	0.055706466874202	0.972146766562899
42	0.0238674752220395	0.0477349504440791	0.97613252477796
43	0.0173110198484922	0.0346220396969844	0.982688980151508
44	0.0132333511380886	0.0264667022761773	0.986766648861911
45	0.0272210838318133	0.0544421676636266	0.972778916168187
46	0.0595075813220607	0.119015162644121	0.940492418677939
47	0.0481591913660895	0.0963183827321791	0.95184080863391
48	0.0602179377566503	0.120435875513301	0.93978206224335
49	0.066145039523374	0.132290079046748	0.933854960476626
50	0.0874431506923699	0.17488630138474	0.91255684930763
51	0.0708517802063457	0.141703560412691	0.929148219793654
52	0.191412899839944	0.382825799679888	0.808587100160056
53	0.169330307861031	0.338660615722062	0.830669692138969
54	0.173455117162671	0.346910234325342	0.826544882837329
55	0.217152662203499	0.434305324406998	0.782847337796501
56	0.197822209566911	0.395644419133823	0.802177790433089
57	0.177144877043296	0.354289754086592	0.822855122956704
58	0.389028940532295	0.77805788106459	0.610971059467705
59	0.345922303329869	0.691844606659737	0.654077696670131
60	0.312496422987356	0.624992845974713	0.687503577012644
61	0.327844992610326	0.655689985220652	0.672155007389674
62	0.652984808986333	0.694030382027333	0.347015191013667
63	0.662208963119644	0.675582073760712	0.337791036880356
64	0.625752373275532	0.748495253448936	0.374247626724468
65	0.588743930339572	0.822512139320857	0.411256069660428
66	0.584199102574925	0.83160179485015	0.415800897425075
67	0.553501992214266	0.892996015571467	0.446498007785734
68	0.506595352310351	0.986809295379298	0.493404647689649
69	0.463054328859235	0.92610865771847	0.536945671140765
70	0.442755616597733	0.885511233195466	0.557244383402267
71	0.426813837541406	0.853627675082812	0.573186162458594
72	0.411657720598964	0.823315441197928	0.588342279401036
73	0.404426893261524	0.808853786523048	0.595573106738476
74	0.396733356847255	0.79346671369451	0.603266643152745
75	0.370058608735898	0.740117217471796	0.629941391264102
76	0.357940114262065	0.715880228524131	0.642059885737934
77	0.328496830332739	0.656993660665479	0.671503169667261
78	0.291164074878883	0.582328149757766	0.708835925121117
79	0.259125335270627	0.518250670541255	0.740874664729373
80	0.24501867206175	0.490037344123501	0.75498132793825
81	0.226595454292471	0.453190908584941	0.773404545707529
82	0.347038859765492	0.694077719530983	0.652961140234508
83	0.369325089558616	0.738650179117231	0.630674910441384
84	0.326555548069061	0.653111096138122	0.673444451930939
85	0.389512208031827	0.779024416063653	0.610487791968173
86	0.345494272377585	0.69098854475517	0.654505727622415
87	0.304214229117354	0.608428458234708	0.695785770882646
88	0.527085931272847	0.945828137454306	0.472914068727153
89	0.667697148153754	0.664605703692493	0.332302851846246
90	0.660652691085364	0.678694617829273	0.339347308914636
91	0.636692570935749	0.726614858128501	0.363307429064251
92	0.604562049358119	0.790875901283763	0.395437950641881
93	0.572181290396568	0.855637419206864	0.427818709603432
94	0.534889879700385	0.930220240599231	0.465110120299615
95	0.598926301140164	0.802147397719673	0.401073698859836
96	0.552458598143885	0.89508280371223	0.447541401856115
97	0.534789062267496	0.930421875465007	0.465210937732504
98	0.500234624790454	0.999530750419092	0.499765375209546
99	0.531079726195949	0.937840547608102	0.468920273804051
100	0.764997168781898	0.470005662436203	0.235002831218101
101	0.751931279239078	0.496137441521844	0.248068720760922
102	0.730031013605981	0.539937972788037	0.269968986394019
103	0.688089975306377	0.623820049387247	0.311910024693623
104	0.65414201595848	0.69171596808304	0.34585798404152
105	0.686581697072558	0.626836605854883	0.313418302927442
106	0.647795433567296	0.704409132865408	0.352204566432704
107	0.644966672795118	0.710066654409764	0.355033327204882
108	0.649807923422696	0.700384153154608	0.350192076577304
109	0.616651921304668	0.766696157390664	0.383348078695332
110	0.58460531963503	0.83078936072994	0.41539468036497
111	0.543560247782533	0.912879504434934	0.456439752217467
112	0.49788111276746	0.995762225534919	0.50211888723254
113	0.570267454141978	0.859465091716043	0.429732545858022
114	0.656231367607914	0.687537264784172	0.343768632392086
115	0.652010853063435	0.695978293873129	0.347989146936565
116	0.69176908642177	0.616461827156459	0.30823091357823
117	0.652886370681283	0.694227258637434	0.347113629318717
118	0.692099499401706	0.615801001196587	0.307900500598294
119	0.65680661158452	0.686386776830961	0.34319338841548
120	0.631254436246845	0.737491127506309	0.368745563753155
121	0.598139963644562	0.803720072710877	0.401860036355438
122	0.58340485515584	0.833190289688321	0.41659514484416
123	0.564297140814202	0.871405718371597	0.435702859185798
124	0.509560948505889	0.980878102988223	0.490439051494111
125	0.483363784332693	0.966727568665386	0.516636215667307
126	0.454180595856433	0.908361191712866	0.545819404143567
127	0.422467201223826	0.844934402447652	0.577532798776174
128	0.672548099249947	0.654903801500106	0.327451900750053
129	0.631676904891305	0.73664619021739	0.368323095108695
130	0.576942604876378	0.846114790247243	0.423057395123622
131	0.803404733374246	0.393190533251508	0.196595266625754
132	0.863747721195367	0.272504557609267	0.136252278804633
133	0.936769252371308	0.126461495257384	0.0632307476286918
134	0.951740533793318	0.0965189324133649	0.0482594662066824
135	0.989320013299657	0.0213599734006853	0.0106799867003426
136	0.992855251444216	0.0142894971115671	0.00714474855578354
137	0.988357892471009	0.0232842150579816	0.0116421075289908
138	0.997287233111144	0.00542553377771183	0.00271276688885592
139	0.997063896052592	0.00587220789481516	0.00293610394740758
140	0.999303084248657	0.00139383150268567	0.000696915751342833
141	0.999726967745232	0.000546064509536559	0.00027303225476828
142	0.999895072774614	0.000209854450771819	0.00010492722538591
143	0.999949112414171	0.000101775171658538	5.08875858292692e-05
144	0.999878296774523	0.000243406450953282	0.000121703225476641
145	0.99983413163754	0.000331736724920596	0.000165868362460298
146	0.999996360062604	7.27987479212712e-06	3.63993739606356e-06
147	0.999996928704154	6.14259169160122e-06	3.07129584580061e-06
148	0.999999997805686	4.38862778199962e-09	2.19431389099981e-09
149	0.999999968440709	6.31185824206694e-08	3.15592912103347e-08
150	0.999999539689234	9.2062153253083e-07	4.60310766265415e-07
151	0.999993394966688	1.32100666237455e-05	6.60503331187277e-06
152	0.999913611918924	0.000172776162151262	8.63880810756309e-05
153	0.999017154123376	0.0019656917532488	0.000982845876624402

Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description	# significant tests	% significant tests	OK/NOK
1% type I error level	16	0.111888111888112	NOK
5% type I error level	29	0.202797202797203	NOK
10% type I error level	44	0.307692307692308	NOK