Multiple Linear Regression - Estimated Regression Equation

PerStandards[t] = + 18.3823499874315 + 0.313043159644399ParExpectations[t] -0.0318454635433938ParCriticism[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)	18.3823499874315	1.308238	14.0512	0	0
ParExpectations	0.313043159644399	0.118036	2.6521	0.008826	0.004413
ParCriticism	-0.0318454635433938	0.150234	-0.212	0.832405	0.416202

Multiple Linear Regression - Regression Statistics
Multiple R	0.244201249146055
R-squared	0.0596342500844937
Adjusted R-squared	0.0475782789317307
F-TEST (value)	4.94644930125161
F-TEST (DF numerator)	2
F-TEST (DF denominator)	156
p-value	0.00826324483165364
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation	4.11541833268082
Sum Squared Residuals	2642.1202162626

Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or Index	Actuals	Interpolation Forecast	Residuals Prediction Error
1	24	21.4436791809991	2.55632081900086
2	25	20.3188883965951	4.68111160340486
3	30	23.4493199930391	6.55068000696088
4	19	21.2580178755283	-2.25801787552833
5	22	21.8522587312737	0.147741268726262
6	22	21.9159496583605	0.0840503416394744
7	25	21.6984428893463	3.30155711065369
8	23	21.4755246445426	1.52447535545745
9	17	21.9159496583605	-4.91594965836053
10	21	22.2289928180049	-1.22899281800492
11	19	22.3828086599324	-3.38280865993235
12	19	23.0725859063079	-4.07258590630794
13	15	21.5073701080859	-6.50737010808595
14	16	21.2580178755283	-5.25801787552833
15	23	21.5710610351727	1.42893896482727
16	27	22.9506155279239	4.0493844720761
17	22	20.9131292523405	1.08687074765946
18	14	21.5710610351727	-7.57106103517273
19	22	23.4811654565825	-1.48116545658252
20	23	23.3537836024089	-0.353783602408943
21	23	21.5392155716293	1.46078442837066
22	21	23.6668267620533	-2.66682676205334
23	19	22.3509631963890	-3.35096319638896
24	18	21.2580178755283	-3.25801787552833
25	20	21.5710610351727	-1.57106103517273
26	23	22.7913882102069	0.208611789793066
27	25	22.8869246008371	2.11307539916289
28	19	22.1653018909181	-3.16530189091814
29	24	23.1044313698513	0.895568630148668
30	22	22.2608382815483	-0.260838281548318
31	25	21.0086656429707	3.99133435702928
32	26	23.5075994443364	2.49240055566363
33	29	23.8578995433137	5.1421004566863
34	32	21.9159496583605	10.0840503416395
35	25	23.4174745294957	1.58252547050427
36	29	21.0086656429707	7.99133435702928
37	28	21.0086656429707	6.99133435702928
38	17	21.9796405854473	-4.97964058544731
39	28	23.6349812985099	4.36501870149005
40	29	21.9159496583605	7.08405034163947
41	26	23.6986722255967	2.30132777440326
42	25	22.4783450505625	2.52165494943746
43	14	22.8232336737503	-8.82323367375033
44	25	23.2318132240249	1.76818677597509
45	26	21.2580178755283	4.74198212447167
46	20	21.5710610351727	-1.57106103517273
47	18	22.4464995870191	-4.44649958701914
48	32	21.0086656429707	10.9913343570293
49	25	21.8841041948171	3.11589580518287
50	25	23.4811654565825	1.51883454341748
51	23	19.8201839314799	3.17981606852008
52	21	21.8841041948171	-0.884104194817132
53	20	21.8841041948171	-1.88410419481713
54	15	20.1332270911243	-5.13322709112431
55	30	25.2584765480292	4.74152345197081
56	24	21.8841041948171	2.11589580518287
57	26	21.8841041948171	4.11589580518287
58	24	22.5738814411927	1.42611855880728
59	22	20.4462702507687	1.55372974923129
60	14	22.1971473544615	-8.19714735446153
61	24	21.8522587312737	2.14774126872626
62	24	22.2608382815483	1.73916171845168
63	24	22.5420359776493	1.45796402235068
64	24	20.6000860926961	3.39991390730386
65	19	21.6665974258029	-2.66659742580291
66	31	21.0405111065141	9.95948889348588
67	22	21.5710610351727	0.428938964827266
68	27	22.1971473544615	4.80285264553847
69	19	21.3217088026151	-2.32170880261512
70	25	21.5710610351727	3.42893896482727
71	20	21.9159496583605	-1.91594965836053
72	21	20.9768201794273	0.0231798205726697
73	27	22.7913882102069	4.20861178979307
74	23	23.6668267620533	-0.666826762053342
75	25	22.8869246008371	2.11307539916289
76	20	21.8841041948171	-1.88410419481713
77	21	22.2608382815483	-1.26083828154832
78	22	22.4783450505625	-0.478345050562535
79	23	21.2580178755283	1.74198212447166
80	25	22.2608382815483	2.73916171845168
81	25	22.1334564273747	2.86654357262526
82	17	21.5710610351727	-4.57106103517273
83	19	22.1971473544615	-3.19714735446153
84	25	23.0725859063079	1.92741409369206
85	19	20.7274679468697	-1.72746794686972
86	20	23.1681222969381	-3.16812229693812
87	26	21.6665974258029	4.33340257419709
88	23	20.9449747158839	2.05502528411606
89	27	22.9452040521344	4.05479594786564
90	17	21.9159496583605	-4.91594965836053
91	17	22.5101905141059	-5.51019051410593
92	19	20.6956224833263	-1.69562248332633
93	17	21.0405111065141	-4.04051110651412
94	22	22.8869246008371	-0.886924600837115
95	21	21.5073701080859	-0.507370108085946
96	32	24.5741107774431	7.42588922255686
97	21	22.4783450505625	-1.47834505056254
98	21	23.6349812985099	-2.63498129850995
99	18	21.9159496583605	-3.91594965836053
100	18	22.1971473544615	-4.19714735446153
101	23	22.7595427466635	0.24045725333646
102	19	21.9477951219039	-2.94779512190392
103	20	24.0117153852411	-4.01171538524113
104	21	22.7595427466635	-1.75954274666354
105	20	21.5073701080859	-1.50737010808595
106	17	21.6665974258029	-4.66659742580291
107	18	21.2898633390717	-3.28986333907173
108	19	22.1334564273747	-3.13345642737474
109	22	22.7276972831201	-0.727697283120146
110	15	21.9477951219039	-6.94779512190392
111	14	21.9159496583605	-7.91594965836053
112	18	23.0088949792212	-5.00889497922115
113	24	20.8494383252538	3.15056167474624
114	35	23.6668267620533	11.3331732379467
115	29	20.5363951656094	8.46360483439064
116	21	22.2926837450917	-1.29268374509171
117	25	23.4493199930391	1.55068000696088
118	20	21.0086656429707	-1.00866564297072
119	22	22.7913882102069	-0.791388210206934
120	13	20.7593134104131	-7.75931341041311
121	26	20.4462702507687	5.55372974923129
122	17	21.9159496583605	-4.91594965836053
123	25	22.4146541234757	2.58534587652425
124	20	20.0695361640375	-0.0695361640375286
125	19	20.6637770197829	-1.66377701978293
126	21	23.4493199930391	-2.44931999303912
127	22	21.3853997297019	0.614600270298090
128	24	21.5710610351727	2.42893896482727
129	21	22.4783450505625	-1.47834505056254
130	26	21.5710610351727	4.42893896482727
131	24	22.1016109638313	1.89838903616865
132	16	21.8841041948171	-5.88410419481713
133	23	21.6665974258029	1.33340257419709
134	18	21.0723565700575	-3.07235657005751
135	16	21.8841041948171	-5.88410419481713
136	26	24.3247585448855	1.67524145511447
137	19	21.9477951219039	-2.94779512190392
138	21	22.1653018909181	-1.16530189091814
139	21	21.8522587312737	-0.852258731273738
140	22	21.7248768771002	0.275123122899836
141	23	20.9131292523405	2.08687074765946
142	29	22.7595427466635	6.24045725333646
143	21	25.2584765480292	-4.25847654802919
144	21	20.4144247872253	0.585575212774679
145	23	23.3537836024089	-0.353783602408943
146	27	21.6347519622595	5.36524803774048
147	25	23.4174745294957	1.58252547050427
148	21	21.6029064987161	-0.602906498716127
149	10	21.8522587312737	-11.8522587312737
150	20	22.4464995870191	-2.44649958701914
151	26	21.5392155716293	4.46078442837066
152	24	23.1362768333947	0.863723166605274
153	29	24.7333380951601	4.26666190483989
154	19	22.5738814411927	-3.57388144119272
155	24	24.2292221542553	-0.229222154255351
156	19	22.2608382815483	-3.26083828154832
157	24	21.5710610351727	2.42893896482727
158	22	22.7595427466635	-0.75954274666354
159	17	23.8206426039808	-6.82064260398077

Goldfeld-Quandt test for Heteroskedasticity
p-values	Alternative Hypothesis
breakpoint index	greater	2-sided	less
6	0.568082632496341	0.863834735007317	0.431917367503659
7	0.422739807802873	0.845479615605746	0.577260192197127
8	0.281603840275079	0.563207680550158	0.718396159724921
9	0.519552112519362	0.960895774961276	0.480447887480638
10	0.443882303786013	0.887764607572026	0.556117696213987
11	0.457936095586342	0.915872191172683	0.542063904413658
12	0.444318094168748	0.888636188337495	0.555681905831252
13	0.567626805199936	0.864746389600129	0.432373194800064
14	0.608361982856247	0.783276034287507	0.391638017143753
15	0.536539701895451	0.926920596209098	0.463460298104549
16	0.481901985374483	0.963803970748965	0.518098014625517
17	0.414148896848305	0.82829779369661	0.585851103151695
18	0.58435147316892	0.831297053662161	0.415648526831081
19	0.521699767862112	0.956600464275776	0.478300232137888
20	0.451528553832058	0.903057107664116	0.548471446167942
21	0.400140952005603	0.800281904011206	0.599859047994397
22	0.340948787612127	0.681897575224254	0.659051212387873
23	0.286384002097254	0.572768004194508	0.713615997902746
24	0.258424736764597	0.516849473529195	0.741575263235403
25	0.209871953209755	0.419743906419509	0.790128046790245
26	0.166982378041719	0.333964756083438	0.833017621958281
27	0.134694392296594	0.269388784593188	0.865305607703406
28	0.114356614721688	0.228713229443377	0.885643385278312
29	0.0897490514681926	0.179498102936385	0.910250948531807
30	0.0671496179226434	0.134299235845287	0.932850382077357
31	0.0662134157256436	0.132426831451287	0.933786584274356
32	0.0844705568949069	0.168941113789814	0.915529443105093
33	0.0850618323429993	0.170123664685999	0.914938167657001
34	0.278502681376176	0.557005362752352	0.721497318623824
35	0.235887804108605	0.471775608217209	0.764112195891395
36	0.352876355594525	0.705752711189049	0.647123644405476
37	0.41634074847129	0.83268149694258	0.58365925152871
38	0.500699235165476	0.998601529669049	0.499300764834524
39	0.523669075615241	0.952661848769519	0.476330924384759
40	0.598992885008578	0.802014229982843	0.401007114991422
41	0.559632092076371	0.880735815847259	0.440367907923629
42	0.522016528133628	0.955966943732745	0.477983471866373
43	0.72344744342745	0.553105113145099	0.276552556572550
44	0.684661015940293	0.630677968119414	0.315338984059707
45	0.689645973763787	0.620708052472427	0.310354026236213
46	0.653955338012237	0.692089323975526	0.346044661987763
47	0.65884943589286	0.682301128214281	0.341150564107141
48	0.846888357928127	0.306223284143746	0.153111642071873
49	0.829393107571988	0.341213784856023	0.170606892428012
50	0.800398513303248	0.399202973393504	0.199601486696752
51	0.77591586330607	0.448168273387859	0.224084136693929
52	0.742462443635048	0.515075112729904	0.257537556364952
53	0.715284908792707	0.569430182414586	0.284715091207293
54	0.772737597105928	0.454524805788144	0.227262402894072
55	0.805182754602659	0.389634490794682	0.194817245397341
56	0.777924303386032	0.444151393227936	0.222075696613968
57	0.773005966956846	0.453988066086309	0.226994033043154
58	0.740152344991332	0.519695310017336	0.259847655008668
59	0.705085412815207	0.589829174369586	0.294914587184793
60	0.819342028887506	0.361315942224989	0.180657971112494
61	0.794722910955069	0.410554178089863	0.205277089044931
62	0.765908915037357	0.468182169925287	0.234091084962643
63	0.733379690527624	0.533240618944751	0.266620309472376
64	0.718992886221646	0.562014227556707	0.281007113778354
65	0.701296340808272	0.597407318383455	0.298703659191728
66	0.85685941774316	0.286281164513681	0.143140582256840
67	0.829925180683721	0.340149638632557	0.170074819316279
68	0.839539225516872	0.320921548966256	0.160460774483128
69	0.822689940952232	0.354620118095535	0.177310059047768
70	0.813369061420971	0.373261877158058	0.186630938579029
71	0.790567562203299	0.418864875593403	0.209432437796701
72	0.75734416423269	0.485311671534619	0.242655835767309
73	0.759446315430448	0.481107369139105	0.240553684569552
74	0.723927291741798	0.552145416516405	0.276072708258202
75	0.698999502683221	0.602000994633557	0.301000497316779
76	0.668474413721243	0.663051172557514	0.331525586278757
77	0.633464857845939	0.733070284308123	0.366535142154061
78	0.591162108552893	0.817675782894213	0.408837891447107
79	0.55563587983916	0.888728240321679	0.444364120160839
80	0.536300404059519	0.927399191880962	0.463699595940481
81	0.514220062008005	0.97155987598399	0.485779937991995
82	0.526327074663736	0.947345850672528	0.473672925336264
83	0.508803033696616	0.982393932606768	0.491196966303384
84	0.47503776613913	0.95007553227826	0.52496223386087
85	0.439192845846707	0.878385691693414	0.560807154153293
86	0.421096789197413	0.842193578394827	0.578903210802587
87	0.437866093785685	0.87573218757137	0.562133906214315
88	0.40702944308029	0.81405888616058	0.59297055691971
89	0.405283481158034	0.810566962316067	0.594716518841966
90	0.421115735118791	0.842231470237583	0.578884264881209
91	0.452664381534432	0.905328763068864	0.547335618465568
92	0.414238907732286	0.828477815464572	0.585761092267714
93	0.407112439469518	0.814224878939037	0.592887560530482
94	0.365546819650987	0.731093639301975	0.634453180349013
95	0.323288218796277	0.646576437592553	0.676711781203723
96	0.43320062072873	0.86640124145746	0.56679937927127
97	0.392669719620115	0.78533943924023	0.607330280379885
98	0.364324783534999	0.728649567069998	0.635675216465001
99	0.354124488524328	0.708248977048656	0.645875511475672
100	0.349603825848876	0.699207651697751	0.650396174151124
101	0.308075120690106	0.616150241380211	0.691924879309894
102	0.283329898169749	0.566659796339498	0.716670101830251
103	0.274385333351448	0.548770666702897	0.725614666648552
104	0.241023415565303	0.482046831130606	0.758976584434697
105	0.208913460838459	0.417826921676917	0.791086539161541
106	0.21081215272795	0.4216243054559	0.78918784727205
107	0.194938984364458	0.389877968728915	0.805061015635542
108	0.178660589518679	0.357321179037358	0.821339410481321
109	0.149052844903037	0.298105689806073	0.850947155096963
110	0.195885600730539	0.391771201461077	0.804114399269461
111	0.287967139071611	0.575934278143222	0.712032860928389
112	0.304358710522082	0.608717421044164	0.695641289477918
113	0.283113788390937	0.566227576781874	0.716886211609063
114	0.614941078896998	0.770117842206004	0.385058921103002
115	0.780549146092631	0.438901707814737	0.219450853907369
116	0.744017341886415	0.51196531622717	0.255982658113585
117	0.707542021545096	0.584915956909808	0.292457978454904
118	0.661469345587212	0.677061308825576	0.338530654412788
119	0.61162349557787	0.77675300884426	0.38837650442213
120	0.747375537466007	0.505248925067985	0.252624462533993
121	0.780148191234682	0.439703617530637	0.219851808765318
122	0.797063883627058	0.405872232745884	0.202936116372942
123	0.785676361663044	0.428647276673912	0.214323638336956
124	0.741510414177551	0.516979171644898	0.258489585822449
125	0.6978741208908	0.6042517582184	0.3021258791092
126	0.665048026532812	0.669903946934376	0.334951973467188
127	0.610053648135407	0.779892703729185	0.389946351864593
128	0.580253536484337	0.839492927031325	0.419746463515663
129	0.524749835323543	0.950500329352913	0.475250164676457
130	0.553972968352212	0.892054063295576	0.446027031647788
131	0.532051052901096	0.935897894197807	0.467948947098904
132	0.574360895648656	0.851278208702687	0.425639104351344
133	0.515037818179726	0.969924363640549	0.484962181820274
134	0.496210455492136	0.992420910984271	0.503789544507864
135	0.556247817867334	0.887504364265331	0.443752182132666
136	0.499639023775985	0.99927804755197	0.500360976224015
137	0.484993643367619	0.969987286735237	0.515006356632381
138	0.418761686864493	0.837523373728986	0.581238313135507
139	0.351403447529655	0.702806895059309	0.648596552470345
140	0.307135387326262	0.614270774652524	0.692864612673738
141	0.281832428696636	0.563664857393272	0.718167571303364
142	0.412394077151242	0.824788154302483	0.587605922848758
143	0.355163501873182	0.710327003746364	0.644836498126818
144	0.282555401955409	0.565110803910818	0.717444598044591
145	0.219433217334386	0.438866434668773	0.780566782665614
146	0.260863895377465	0.52172779075493	0.739136104622535
147	0.203859953314122	0.407719906628244	0.796140046685878
148	0.144568146216794	0.289136292433588	0.855431853783206
149	0.572057814427482	0.855884371145036	0.427942185572518
150	0.471420557511283	0.942841115022566	0.528579442488717
151	0.611878490666338	0.776243018667323	0.388121509333662
152	0.474840870643746	0.949681741287492	0.525159129356254
153	0.484601821935582	0.969203643871164	0.515398178064418

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	0	0	OK