Multiple Linear Regression - Estimated Regression Equation

Learning[t] = + 12.3537171110201 + 0.0061848539683367Concern[t] -0.277968257641376Doubts[t] + 0.107111545991711Expectations[t] + 0.0278119768219914Standards[t] + 0.156915805748762Organization[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)	12.3537171110201	1.434908	8.6094	0	0
Concern	0.0061848539683367	0.037642	0.1643	0.86972	0.43486
Doubts	-0.277968257641376	0.06854	-4.0556	8.2e-05	4.1e-05
Expectations	0.107111545991711	0.054197	1.9764	0.050026	0.025013
Standards	0.0278119768219914	0.048586	0.5724	0.567929	0.283964
Organization	0.156915805748762	0.048636	3.2263	0.001552	0.000776

Multiple Linear Regression - Regression Statistics
Multiple R	0.455153141765681
R-squared	0.20716438245917
Adjusted R-squared	0.179635367961225
F-TEST (value)	7.52531052190885
F-TEST (DF numerator)	5
F-TEST (DF denominator)	144
p-value	2.64790903370393e-06
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation	2.05867599198798
Sum Squared Residuals	610.293144958229

Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or Index	Actuals	Interpolation Forecast	Residuals Prediction Error
1	13	16.237676749569	-3.23767674956899
2	16	16.0436518200102	-0.0436518200102288
3	19	15.3051058498086	3.69489415019138
4	15	13.8346865519938	1.1653134480062
5	14	14.4991527236661	-0.499152723666114
6	13	15.11990077253	-2.11990077253001
7	19	15.015912139308	3.98408786069198
8	15	15.9552780263987	-0.955278026398673
9	14	15.7919941762064	-1.79199417620643
10	15	14.5403008384594	0.459699161540607
11	16	14.7091720611112	1.29082793888877
12	16	14.508158333997	1.49184166600298
13	16	14.5361233983854	1.46387660161461
14	17	17.3692008128715	-0.369200812871485
15	15	12.2200792548616	2.7799207451384
16	15	15.9784052913679	-0.97840529136786
17	20	16.9849016812223	3.01509831877772
18	18	16.8464994844386	1.1535005155614
19	16	17.1375388881396	-1.13753888813958
20	16	14.3613122950457	1.63868770495427
21	19	14.5048314008867	4.49516859911328
22	16	14.4779449011594	1.52205509884059
23	17	16.0001156668081	0.999884333191923
24	17	15.0091394329932	1.99086056700677
25	16	14.6588892857774	1.34111071422255
26	15	13.1458324766417	1.85416752335834
27	14	15.6687417210632	-1.6687417210632
28	15	16.1315563710884	-1.13155637108838
29	12	14.6763499444261	-2.67634994442608
30	14	14.8530961849425	-0.85309618494249
31	16	15.1266339770549	0.873366022945099
32	14	15.5986995668105	-1.59869956681046
33	7	14.1418162827441	-7.14181628274409
34	10	13.0082437267695	-3.00824372676953
35	14	14.3380319425102	-0.338031942510166
36	16	16.5280764979524	-0.528076497952433
37	16	14.2470312027612	1.75296879723879
38	16	13.565054146457	2.43494585354299
39	14	15.34309680436	-1.34309680435999
40	20	18.0673014531094	1.93269854689056
41	14	14.8736687804919	-0.873668780491858
42	14	15.108129766971	-1.10812976697097
43	11	14.3520151480577	-3.3520151480577
44	15	15.7685729328424	-0.768572932842354
45	16	15.5705224299071	0.429477570092938
46	14	15.1010220034835	-1.10102200348353
47	16	14.2527798407994	1.74722015920055
48	14	15.0433101812154	-1.04331018121537
49	12	15.4081204104562	-3.40812041045617
50	16	14.9288894189712	1.07111058102877
51	9	13.673328209816	-4.67332820981603
52	14	14.2750540312293	-0.275054031229348
53	16	15.5968727758157	0.403127224184315
54	16	14.9765225575175	1.02347744248246
55	15	15.0507010730665	-0.0507010730665349
56	16	14.6960682445673	1.30393175543272
57	12	13.4138868529087	-1.41388685290866
58	16	16.4524072391691	-0.452407239169051
59	16	16.1207526067982	-0.12075260679821
60	14	16.3828093530209	-2.38280935302086
61	16	12.4482077844049	3.55179221559515
62	17	16.0090764099168	0.990923590083235
63	18	14.5845673118244	3.41543268817564
64	18	15.396959538259	2.60304046174096
65	12	14.4904952319956	-2.49049523199564
66	16	15.8328664490569	0.167133550943142
67	10	14.3182316106513	-4.31823161065129
68	14	12.5632518673365	1.43674813266347
69	18	15.3445478155233	2.65545218447667
70	18	16.2374444281417	1.76255557185832
71	16	15.5298333475318	0.470166652468223
72	16	15.4941531841508	0.505846815849227
73	16	14.7267817886006	1.27321821139936
74	13	14.695053449334	-1.69505344933404
75	16	15.0296604558526	0.970339544147362
76	16	14.7682325149164	1.23176748508362
77	20	15.9685202920334	4.03147970796663
78	16	15.2578667533836	0.742133246616405
79	15	12.6781168976852	2.32188310231477
80	15	15.3452887554362	-0.345288755436168
81	16	15.84878601265	0.151213987349972
82	14	14.1044637626414	-0.10446376264139
83	15	13.2278422445353	1.77215775546466
84	12	14.8664806881124	-2.8664806881124
85	17	16.0140744788799	0.985925521120118
86	16	15.2161849265094	0.783815073490602
87	15	12.9992695660541	2.0007304339459
88	13	14.4158407684455	-1.4158407684455
89	16	15.9752929983482	0.0247070016518326
90	16	15.3006055492998	0.699394450700157
91	16	16.2412567081343	-0.241256708134275
92	16	15.8777713568705	0.122228643129508
93	14	15.6097101492979	-1.60971014929793
94	16	14.226652417437	1.77334758256299
95	16	15.2184260085378	0.781573991462233
96	20	16.4287316236433	3.57126837635668
97	15	15.5416876056774	-0.54168760567739
98	16	14.1305514539328	1.86944854606722
99	13	14.3489714691489	-1.34897146914894
100	17	15.9329522632788	1.06704773672119
101	16	14.2862281951954	1.7137718048046
102	12	13.3344846738315	-1.33448467383146
103	16	15.0669541168445	0.933045883155495
104	16	15.3749042516497	0.625095748350275
105	17	15.5413292769015	1.45867072309846
106	13	13.1969179746937	-0.196917974693656
107	12	15.8841708509294	-3.88417085092944
108	18	15.8548587319919	2.14514126800808
109	14	13.7807154719128	0.219284528087229
110	14	14.5468809554179	-0.546880955417902
111	13	13.8035393596059	-0.803539359605925
112	16	15.4601551324916	0.539844867508437
113	13	12.6215505513634	0.378449448636596
114	16	15.367797834869	0.632202165131008
115	13	14.8762945057604	-1.87629450576037
116	16	15.8704829704835	0.129517029516503
117	15	14.782731170255	0.217268829745022
118	16	15.4043203272014	0.595679672798566
119	15	14.9516011720379	0.0483988279620662
120	17	15.6717021473854	1.32829785261461
121	15	15.8851225166506	-0.885122516650605
122	12	13.6514492823763	-1.6514492823763
123	16	14.4408949925792	1.55910500742083
124	10	14.2264598280807	-4.22645982808073
125	16	14.3244427790839	1.67555722091608
126	14	14.7449208386032	-0.744920838603168
127	15	16.4749559248351	-1.4749559248351
128	13	14.5210053366415	-1.52100533664155
129	15	15.4337746836742	-0.433774683674172
130	11	13.7744896650045	-2.7744896650045
131	12	14.2703404373367	-2.27034043733666
132	8	14.6012988711791	-6.60129887117906
133	16	16.2835266176361	-0.283526617636069
134	15	14.8894380543754	0.110561945624628
135	17	15.3197770758723	1.68022292412767
136	16	15.4619518205776	0.538048179422432
137	10	15.0690118825599	-5.06901188255991
138	18	13.8990484520381	4.1009515479619
139	13	13.9545025069759	-0.954502506975867
140	15	14.3165551093662	0.683444890633833
141	16	14.6588892857774	1.34111071422255
142	16	15.0253844245968	0.974615575403246
143	14	13.4643186970832	0.535681302916778
144	10	13.1271356772014	-3.12713567720144
145	17	16.0140744788799	0.985925521120118
146	13	14.4004669878333	-1.40046698783329
147	15	15.8851225166506	-0.885122516650605
148	16	15.9714096625069	0.0285903374931292
149	12	15.3026117423253	-3.30261174232529
150	13	13.5543242505955	-0.554324250595498

Goldfeld-Quandt test for Heteroskedasticity
p-values	Alternative Hypothesis
breakpoint index	greater	2-sided	less
9	0.542937923805889	0.914124152388222	0.457062076194111
10	0.878242484064457	0.243515031871086	0.121757515935543
11	0.805471577314012	0.389056845371977	0.194528422685989
12	0.713622598297131	0.572754803405738	0.286377401702869
13	0.623316918361144	0.753366163277711	0.376683081638856
14	0.552760488360424	0.894479023279151	0.447239511639576
15	0.504913599239875	0.99017280152025	0.495086400760125
16	0.428671042182649	0.857342084365298	0.571328957817351
17	0.501123441348738	0.997753117302523	0.498876558651262
18	0.421571652688251	0.843143305376503	0.578428347311749
19	0.350804434195236	0.701608868390472	0.649195565804764
20	0.289081488759066	0.578162977518133	0.710918511240934
21	0.481059739783455	0.96211947956691	0.518940260216545
22	0.432152894650588	0.864305789301175	0.567847105349412
23	0.375237660525749	0.750475321051497	0.624762339474251
24	0.317079470267044	0.634158940534088	0.682920529732956
25	0.260141747067839	0.520283494135678	0.739858252932161
26	0.2298577607525	0.459715521505001	0.7701422392475
27	0.185466920342036	0.370933840684072	0.814533079657964
28	0.254791735149358	0.509583470298716	0.745208264850642
29	0.335602146563614	0.671204293127228	0.664397853436386
30	0.289502817254976	0.579005634509952	0.710497182745024
31	0.250485393038421	0.500970786076841	0.74951460696158
32	0.214109802020969	0.428219604041938	0.78589019797903
33	0.909426185018366	0.181147629963269	0.0905738149816343
34	0.94419770025212	0.111604599495761	0.0558022997478807
35	0.926292924036293	0.147414151927415	0.0737070759637074
36	0.911064457825953	0.177871084348094	0.0889355421740472
37	0.89884047458533	0.202319050829339	0.10115952541467
38	0.891769084973123	0.216461830053754	0.108230915026877
39	0.872404243577225	0.25519151284555	0.127595756422775
40	0.895122020853726	0.209755958292547	0.104877979146274
41	0.872393088615957	0.255213822768086	0.127606911384043
42	0.856689438027999	0.286621123944002	0.143310561972001
43	0.915086612230865	0.16982677553827	0.0849133877691349
44	0.898829687261274	0.202340625477452	0.101170312738726
45	0.874888080978087	0.250223838043826	0.125111919021913
46	0.85105448607621	0.297891027847578	0.148945513923789
47	0.83291377608919	0.334172447821619	0.16708622391081
48	0.805989276927003	0.388021446145993	0.194010723072997
49	0.853638196167488	0.292723607665024	0.146361803832512
50	0.830447320887573	0.339105358224853	0.169552679112427
51	0.92172223048686	0.156555539026282	0.0782777695131409
52	0.902644030594762	0.194711938810476	0.097355969405238
53	0.884067766349561	0.231864467300878	0.115932233650439
54	0.86865281892337	0.26269436215326	0.13134718107663
55	0.841153212445802	0.317693575108395	0.158846787554198
56	0.830085636673044	0.339828726653913	0.169914363326956
57	0.811426693444093	0.377146613111813	0.188573306555907
58	0.777313479235043	0.445373041529913	0.222686520764957
59	0.738897720550812	0.522204558898377	0.261102279449188
60	0.740863706078396	0.518272587843208	0.259136293921604
61	0.802734603796781	0.394530792406438	0.197265396203219
62	0.780064123757039	0.439871752485922	0.219935876242961
63	0.835373364767057	0.329253270465886	0.164626635232943
64	0.858263078183253	0.283473843633493	0.141736921816747
65	0.872054031203344	0.255891937593313	0.127945968796656
66	0.845918405301685	0.308163189396629	0.154081594698315
67	0.92110275898926	0.157794482021481	0.0788972410107406
68	0.909780132539447	0.180439734921107	0.0902198674605535
69	0.928537110338736	0.142925779322527	0.0714628896612637
70	0.927351289838899	0.145297420322202	0.072648710161101
71	0.910099056949653	0.179801886100694	0.0899009430503471
72	0.890314524022223	0.219370951955555	0.109685475977777
73	0.877287961680415	0.245424076639169	0.122712038319585
74	0.867980332025085	0.264039335949829	0.132019667974915
75	0.847109406507455	0.30578118698509	0.152890593492545
76	0.827694549462457	0.344610901075087	0.172305450537543
77	0.901637754542174	0.196724490915651	0.0983622454578256
78	0.882273269674707	0.235453460650586	0.117726730325293
79	0.888970330969545	0.222059338060911	0.111029669030455
80	0.864741677646265	0.270516644707471	0.135258322353735
81	0.836751778304778	0.326496443390443	0.163248221695222
82	0.809133582140433	0.381732835719134	0.190866417859567
83	0.809290431525817	0.381419136948366	0.190709568474183
84	0.839015156593465	0.321969686813071	0.160984843406535
85	0.814682122123909	0.370635755752183	0.185317877876091
86	0.785879499832503	0.428241000334994	0.214120500167497
87	0.790846892207134	0.418306215585733	0.209153107792866
88	0.770998334377145	0.45800333124571	0.229001665622855
89	0.731964366161471	0.536071267677058	0.268035633838529
90	0.695825801706555	0.608348396586891	0.304174198293445
91	0.652700145916509	0.694599708166983	0.347299854083491
92	0.606352113918735	0.78729577216253	0.393647886081265
93	0.591266815450365	0.81746636909927	0.408733184549635
94	0.603500771745819	0.792998456508362	0.396499228254181
95	0.567386517700287	0.865226964599426	0.432613482299713
96	0.659728219451359	0.680543561097282	0.340271780548641
97	0.613282943477555	0.773434113044889	0.386717056522445
98	0.633368925368596	0.733262149262809	0.366631074631404
99	0.601756103401759	0.796487793196483	0.398243896598241
100	0.574888403900847	0.850223192198306	0.425111596099153
101	0.595235696164164	0.809528607671673	0.404764303835836
102	0.560927723980292	0.878144552039416	0.439072276019708
103	0.524434901778949	0.951130196442102	0.475565098221051
104	0.502367623942266	0.995264752115468	0.497632376057734
105	0.509942902664223	0.980114194671554	0.490057097335777
106	0.457759600355051	0.915519200710101	0.542240399644949
107	0.598110377803215	0.80377924439357	0.401889622196785
108	0.609947582109585	0.78010483578083	0.390052417890415
109	0.61273970534223	0.77452058931554	0.38726029465777
110	0.562745612606525	0.87450877478695	0.437254387393475
111	0.509686695587908	0.980626608824185	0.490313304412092
112	0.457585795175883	0.915171590351766	0.542414204824117
113	0.429721444199351	0.859442888398701	0.570278555800649
114	0.391684839501555	0.78336967900311	0.608315160498445
115	0.375124202346405	0.75024840469281	0.624875797653595
116	0.320362498211981	0.640724996423962	0.679637501788019
117	0.29360363404872	0.587207268097441	0.70639636595128
118	0.296591452479692	0.593182904959384	0.703408547520308
119	0.245727890925742	0.491455781851484	0.754272109074258
120	0.21531342346389	0.43062684692778	0.78468657653611
121	0.179592184155114	0.359184368310228	0.820407815844886
122	0.164129007226705	0.32825801445341	0.835870992773295
123	0.155755616796569	0.311511233593138	0.844244383203431
124	0.207757779101591	0.415515558203182	0.792242220898409
125	0.16960563341694	0.33921126683388	0.83039436658306
126	0.133229688815761	0.266459377631521	0.86677031118424
127	0.10260941026088	0.205218820521759	0.89739058973912
128	0.0791126415369807	0.158225283073961	0.920887358463019
129	0.0578319745875705	0.115663949175141	0.94216802541243
130	0.0486812666505442	0.0973625333010885	0.951318733349456
131	0.0371988114039727	0.0743976228079453	0.962801188596027
132	0.241994223126728	0.483988446253455	0.758005776873272
133	0.180504696332892	0.361009392665783	0.819495303667108
134	0.131222507673446	0.262445015346892	0.868777492326554
135	0.137096213245877	0.274192426491755	0.862903786754123
136	0.100014035517835	0.20002807103567	0.899985964482165
137	0.444485793800294	0.888971587600589	0.555514206199705
138	0.694165943625938	0.611668112748124	0.305834056374062
139	0.576879323753421	0.846241352493157	0.423120676246579
140	0.461809008842616	0.923618017685232	0.538190991157384
141	0.333076697503629	0.666153395007259	0.66692330249637

Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description	# significant tests	% significant tests	OK/NOK
1% type I error level	0	0	OK
5% type I error level	0	0	OK
10% type I error level	2	0.0150375939849624	OK