Multiple Linear Regression - Estimated Regression Equation

CorrectAnalysis[t] = + 0.0215041196751008 + 0.0917869455969147Treatment[t] + 0.122363115759949Useful[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)	0.0215041196751008	0.027348	0.7863	0.432908	0.216454
Treatment	0.0917869455969147	0.048126	1.9072	0.058393	0.029196
Useful	0.122363115759949	0.047746	2.5628	0.011361	0.00568

Multiple Linear Regression - Regression Statistics
Multiple R	0.25689801514999
R-squared	0.0659965901880047
Adjusted R-squared	0.0536256840977795
F-TEST (value)	5.33482266429554
F-TEST (DF numerator)	2
F-TEST (DF denominator)	151
p-value	0.00577176793129208
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation	0.26161352467213
Sum Squared Residuals	10.3346870799977

Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or Index	Actuals	Interpolation Forecast	Residuals Prediction Error
1	0	0.113291065272015	-0.113291065272015
2	0	0.021504119675101	-0.021504119675101
3	0	0.0215041196751008	-0.0215041196751008
4	0	0.0215041196751008	-0.0215041196751008
5	0	0.0215041196751008	-0.0215041196751008
6	0	0.143867235435049	-0.143867235435049
7	0	0.0215041196751008	-0.0215041196751008
8	0	0.113291065272015	-0.113291065272015
9	0	0.0215041196751008	-0.0215041196751008
10	0	0.0215041196751008	-0.0215041196751008
11	0	0.113291065272015	-0.113291065272015
12	0	0.0215041196751008	-0.0215041196751008
13	0	0.143867235435049	-0.143867235435049
14	0	0.113291065272015	-0.113291065272015
15	0	0.143867235435049	-0.143867235435049
16	0	0.235654181031964	-0.235654181031964
17	1	0.235654181031964	0.764345818968036
18	0	0.113291065272015	-0.113291065272015
19	0	0.0215041196751008	-0.0215041196751008
20	1	0.235654181031964	0.764345818968036
21	0	0.143867235435049	-0.143867235435049
22	0	0.143867235435049	-0.143867235435049
23	0	0.143867235435049	-0.143867235435049
24	0	0.143867235435049	-0.143867235435049
25	0	0.113291065272015	-0.113291065272015
26	0	0.143867235435049	-0.143867235435049
27	0	0.0215041196751008	-0.0215041196751008
28	0	0.0215041196751008	-0.0215041196751008
29	0	0.0215041196751008	-0.0215041196751008
30	0	0.143867235435049	-0.143867235435049
31	0	0.0215041196751008	-0.0215041196751008
32	0	0.0215041196751008	-0.0215041196751008
33	0	0.143867235435049	-0.143867235435049
34	0	0.113291065272015	-0.113291065272015
35	0	0.0215041196751008	-0.0215041196751008
36	0	0.0215041196751008	-0.0215041196751008
37	0	0.235654181031964	-0.235654181031964
38	0	0.0215041196751008	-0.0215041196751008
39	0	0.143867235435049	-0.143867235435049
40	0	0.235654181031964	-0.235654181031964
41	1	0.143867235435049	0.856132764564951
42	0	0.0215041196751008	-0.0215041196751008
43	0	0.143867235435049	-0.143867235435049
44	0	0.113291065272015	-0.113291065272015
45	0	0.143867235435049	-0.143867235435049
46	0	0.143867235435049	-0.143867235435049
47	0	0.0215041196751008	-0.0215041196751008
48	0	0.0215041196751008	-0.0215041196751008
49	0	0.143867235435049	-0.143867235435049
50	0	0.0215041196751008	-0.0215041196751008
51	0	0.113291065272015	-0.113291065272015
52	1	0.235654181031964	0.764345818968036
53	0	0.0215041196751008	-0.0215041196751008
54	1	0.0215041196751008	0.978495880324899
55	0	0.0215041196751008	-0.0215041196751008
56	0	0.113291065272015	-0.113291065272015
57	0	0.143867235435049	-0.143867235435049
58	0	0.0215041196751008	-0.0215041196751008
59	0	0.0215041196751008	-0.0215041196751008
60	1	0.235654181031964	0.764345818968036
61	0	0.113291065272015	-0.113291065272015
62	0	0.143867235435049	-0.143867235435049
63	0	0.0215041196751008	-0.0215041196751008
64	0	0.113291065272015	-0.113291065272015
65	0	0.0215041196751008	-0.0215041196751008
66	0	0.0215041196751008	-0.0215041196751008
67	1	0.235654181031964	0.764345818968036
68	0	0.0215041196751008	-0.0215041196751008
69	0	0.0215041196751008	-0.0215041196751008
70	0	0.0215041196751008	-0.0215041196751008
71	0	0.0215041196751008	-0.0215041196751008
72	0	0.0215041196751008	-0.0215041196751008
73	0	0.0215041196751008	-0.0215041196751008
74	0	0.0215041196751008	-0.0215041196751008
75	0	0.0215041196751008	-0.0215041196751008
76	0	0.235654181031964	-0.235654181031964
77	0	0.0215041196751008	-0.0215041196751008
78	0	0.143867235435049	-0.143867235435049
79	1	0.113291065272015	0.886708934727985
80	0	0.235654181031964	-0.235654181031964
81	0	0.0215041196751008	-0.0215041196751008
82	0	0.0215041196751008	-0.0215041196751008
83	0	0.0215041196751008	-0.0215041196751008
84	1	0.0215041196751008	0.978495880324899
85	0	0.143867235435049	-0.143867235435049
86	0	0.0215041196751008	-0.0215041196751008
87	0	0.0215041196751008	-0.0215041196751008
88	0	0.113291065272015	-0.113291065272015
89	0	0.0215041196751008	-0.0215041196751008
90	0	0.0215041196751008	-0.0215041196751008
91	0	0.143867235435049	-0.143867235435049
92	0	0.113291065272015	-0.113291065272015
93	0	0.143867235435049	-0.143867235435049
94	0	0.0215041196751008	-0.0215041196751008
95	0	0.113291065272015	-0.113291065272015
96	0	0.0215041196751008	-0.0215041196751008
97	0	0.113291065272015	-0.113291065272015
98	0	0.0215041196751008	-0.0215041196751008
99	0	0.0215041196751008	-0.0215041196751008
100	0	0.0215041196751008	-0.0215041196751008
101	0	0.0215041196751008	-0.0215041196751008
102	0	0.0215041196751008	-0.0215041196751008
103	0	0.0215041196751008	-0.0215041196751008
104	0	0.0215041196751008	-0.0215041196751008
105	0	0.113291065272015	-0.113291065272015
106	0	0.0215041196751008	-0.0215041196751008
107	0	0.0215041196751008	-0.0215041196751008
108	0	0.113291065272015	-0.113291065272015
109	0	0.0215041196751008	-0.0215041196751008
110	0	0.0215041196751008	-0.0215041196751008
111	0	0.235654181031964	-0.235654181031964
112	0	0.113291065272015	-0.113291065272015
113	0	0.0215041196751008	-0.0215041196751008
114	0	0.113291065272015	-0.113291065272015
115	0	0.0215041196751008	-0.0215041196751008
116	0	0.0215041196751008	-0.0215041196751008
117	0	0.0215041196751008	-0.0215041196751008
118	0	0.0215041196751008	-0.0215041196751008
119	0	0.0215041196751008	-0.0215041196751008
120	0	0.0215041196751008	-0.0215041196751008
121	0	0.0215041196751008	-0.0215041196751008
122	0	0.0215041196751008	-0.0215041196751008
123	0	0.113291065272015	-0.113291065272015
124	0	0.143867235435049	-0.143867235435049
125	0	0.0215041196751008	-0.0215041196751008
126	0	0.113291065272015	-0.113291065272015
127	0	0.143867235435049	-0.143867235435049
128	0	0.0215041196751008	-0.0215041196751008
129	0	0.0215041196751008	-0.0215041196751008
130	0	0.0215041196751008	-0.0215041196751008
131	0	0.0215041196751008	-0.0215041196751008
132	0	0.0215041196751008	-0.0215041196751008
133	0	0.0215041196751008	-0.0215041196751008
134	0	0.0215041196751008	-0.0215041196751008
135	0	0.0215041196751008	-0.0215041196751008
136	0	0.0215041196751008	-0.0215041196751008
137	0	0.143867235435049	-0.143867235435049
138	0	0.235654181031964	-0.235654181031964
139	0	0.113291065272015	-0.113291065272015
140	0	0.0215041196751008	-0.0215041196751008
141	1	0.0215041196751008	0.978495880324899
142	0	0.113291065272015	-0.113291065272015
143	0	0.0215041196751008	-0.0215041196751008
144	0	0.143867235435049	-0.143867235435049
145	0	0.143867235435049	-0.143867235435049
146	0	0.113291065272015	-0.113291065272015
147	0	0.113291065272015	-0.113291065272015
148	0	0.113291065272015	-0.113291065272015
149	0	0.0215041196751008	-0.0215041196751008
150	0	0.143867235435049	-0.143867235435049
151	0	0.0215041196751008	-0.0215041196751008
152	1	0.0215041196751008	0.978495880324899
153	1	0.143867235435049	0.856132764564951
154	0	0.0215041196751008	-0.0215041196751008

Goldfeld-Quandt test for Heteroskedasticity
p-values	Alternative Hypothesis
breakpoint index	greater	2-sided	less
6	0	0	1
7	0	0	1
8	0	0	1
9	0	0	1
10	0	0	1
11	0	0	1
12	0	0	1
13	0	0	1
14	0	0	1
15	0	0	1
16	0	0	1
17	0.235506155632641	0.471012311265282	0.764493844367359
18	0.18445972800072	0.368919456001439	0.81554027199928
19	0.136826575146915	0.273653150293831	0.863173424853085
20	0.501197129304686	0.997605741390628	0.498802870695314
21	0.470187184356129	0.940374368712259	0.529812815643871
22	0.428493425617559	0.856986851235117	0.571506574382441
23	0.381885195585333	0.763770391170667	0.618114804414667
24	0.333854551165765	0.66770910233153	0.666145448834235
25	0.294793183732253	0.589586367464505	0.705206816267747
26	0.252140636056711	0.504281272113422	0.747859363943289
27	0.20840273022927	0.41680546045854	0.79159726977073
28	0.169184067168968	0.338368134337937	0.830815932831032
29	0.134923666144855	0.26984733228971	0.865076333855145
30	0.11002341785367	0.22004683570734	0.88997658214633
31	0.0853184567730165	0.170636913546033	0.914681543226983
32	0.0650174569099254	0.130034913819851	0.934982543090075
33	0.0510315239019784	0.102063047803957	0.948968476098022
34	0.0419500688731941	0.0839001377463882	0.958049931126806
35	0.030900603654708	0.0618012073094161	0.969099396345292
36	0.0223818739880699	0.0447637479761397	0.97761812601193
37	0.0262579609774463	0.0525159219548926	0.973742039022554
38	0.0188384887678322	0.0376769775356643	0.981161511232168
39	0.0140380971015516	0.0280761942031032	0.985961902898448
40	0.0147063469522856	0.0294126939045711	0.985293653047714
41	0.287248440791284	0.574496881582567	0.712751559208716
42	0.243802126727442	0.487604253454885	0.756197873272558
43	0.214540500447171	0.429081000894343	0.785459499552829
44	0.182794405276015	0.365588810552031	0.817205594723984
45	0.158307191681882	0.316614383363764	0.841692808318118
46	0.135890379534388	0.271780759068775	0.864109620465612
47	0.10988539685026	0.219770793700519	0.89011460314974
48	0.0877327072102159	0.175465414420432	0.912267292789784
49	0.0734101499861751	0.14682029997235	0.926589850013825
50	0.0573630373062232	0.114726074612446	0.942636962693777
51	0.0458815090238079	0.0917630180476159	0.954118490976192
52	0.229305932877225	0.458611865754451	0.770694067122775
53	0.194456649406289	0.388913298812579	0.805543350593711
54	0.794619062709894	0.410761874580212	0.205380937290106
55	0.758582179206983	0.482835641586034	0.241417820793017
56	0.727519488824988	0.544961022350024	0.272480511175012
57	0.697746318802067	0.604507362395866	0.302253681197933
58	0.654795296362701	0.690409407274599	0.345204703637299
59	0.609870776241852	0.780258447516297	0.390129223758148
60	0.868260525159078	0.263478949681845	0.131739474840922
61	0.847667122127019	0.304665755745961	0.152332877872981
62	0.826201242440231	0.347597515119538	0.173798757559769
63	0.794748761846956	0.410502476306089	0.205251238153044
64	0.767289057766098	0.465421884467805	0.232710942233902
65	0.730452941749509	0.539094116500982	0.269547058250491
66	0.690970229014411	0.618059541971178	0.309029770985589
67	0.924127974296372	0.151744051407256	0.0758720257036281
68	0.906614276071696	0.186771447856609	0.0933857239283043
69	0.886308634793803	0.227382730412393	0.113691365206197
70	0.863068850362488	0.273862299275024	0.136931149637512
71	0.836811825374177	0.326376349251647	0.163188174625823
72	0.807524620508134	0.384950758983732	0.192475379491866
73	0.775273134928514	0.449453730142971	0.224726865071486
74	0.740207573091169	0.519584853817663	0.259792426908831
75	0.702564023357344	0.594871953285312	0.297435976642656
76	0.70016641803078	0.599667163938441	0.29983358196922
77	0.66002966252118	0.67994067495764	0.33997033747882
78	0.62623086127175	0.747538277456499	0.37376913872825
79	0.954982995194138	0.0900340096117242	0.0450170048058621
80	0.952449858872643	0.0951002822547139	0.047550141127357
81	0.940193089658209	0.119613820683581	0.0598069103417905
82	0.925602681238797	0.148794637522407	0.0743973187612033
83	0.908455790518471	0.183088418963059	0.0915442094815293
84	0.998606403469263	0.00278719306147377	0.00139359653073689
85	0.998100861067503	0.00379827786499457	0.00189913893249729
86	0.997262349082346	0.00547530183530836	0.00273765091765418
87	0.99610210745897	0.00779578508206039	0.00389789254103019
88	0.994813915571641	0.0103721688567185	0.00518608442835925
89	0.992775927518229	0.0144481449635424	0.00722407248177118
90	0.990059647018635	0.0198807059627299	0.00994035298136496
91	0.987245032206009	0.0255099355879821	0.0127549677939911
92	0.983523808933523	0.0329523821329545	0.0164761910664772
93	0.979340423276707	0.0413191534465861	0.020659576723293
94	0.972696436164663	0.0546071276706749	0.0273035638353374
95	0.965483895482688	0.0690322090346249	0.0345161045173124
96	0.9553733229206	0.0892533541588002	0.0446266770794001
97	0.944418787599483	0.111162424801034	0.0555812124005169
98	0.929698222681678	0.140603554636643	0.0703017773183215
99	0.912123258809724	0.175753482380551	0.0878767411902756
100	0.8914341637917	0.217131672416601	0.1085658362083
101	0.86742193716103	0.26515612567794	0.13257806283897
102	0.839947244045705	0.32010551190859	0.160052755954295
103	0.808958264958983	0.382083470082033	0.191041735041017
104	0.774505877724514	0.450988244550972	0.225494122275486
105	0.739505951816094	0.520988096367813	0.260494048183906
106	0.698751721885731	0.602496556228539	0.301248278114269
107	0.655310515608917	0.689378968782165	0.344689484391083
108	0.61201065309658	0.775978693806839	0.38798934690342
109	0.564612722706132	0.870774554587735	0.435387277293868
110	0.516234799934709	0.967530400130582	0.483765200065291
111	0.482584601583076	0.965169203166151	0.517415398416924
112	0.434764818450684	0.869529636901367	0.565235181549316
113	0.386587194338515	0.77317438867703	0.613412805661485
114	0.340416932123058	0.680833864246115	0.659583067876942
115	0.295891320025463	0.591782640050925	0.704108679974537
116	0.254225811392804	0.508451622785609	0.745774188607196
117	0.215860799935992	0.431721599871985	0.784139200064008
118	0.181103354384436	0.362206708768871	0.818896645615564
119	0.150123201356666	0.300246402713332	0.849876798643334
120	0.122957498589545	0.24591499717909	0.877042501410455
121	0.0995233272034388	0.199046654406878	0.900476672796561
122	0.0796362093241049	0.15927241864821	0.920363790675895
123	0.061651931530509	0.123303863061018	0.938348068469491
124	0.0499522660196493	0.0999045320392987	0.950047733980351
125	0.0383579393392203	0.0767158786784407	0.96164206066078
126	0.0281643210413197	0.0563286420826394	0.97183567895868
127	0.0224001643980907	0.0448003287961814	0.977599835601909
128	0.0164672035077257	0.0329344070154515	0.983532796492274
129	0.0119823868840173	0.0239647737680345	0.988017613115983
130	0.00864842794770586	0.0172968558954117	0.991351572052294
131	0.00621043274014938	0.0124208654802988	0.993789567259851
132	0.00445664396099605	0.0089132879219921	0.995543356039004
133	0.00321653178576288	0.00643306357152575	0.996783468214237
134	0.0023572882590646	0.00471457651812919	0.997642711740935
135	0.00177993328774127	0.00355986657548254	0.998220066712259
136	0.0014167849693278	0.0028335699386556	0.998583215030672
137	0.00106210909726374	0.00212421819452748	0.998937890902736
138	0.000639014388834627	0.00127802877766925	0.999360985611165
139	0.000341827974961889	0.000683655949923777	0.999658172025038
140	0.000289258434520145	0.000578516869040289	0.99971074156548
141	0.00826073876504882	0.0165214775300976	0.991739261234951
142	0.00462016675400218	0.00924033350800437	0.995379833245998
143	0.00314164431690264	0.00628328863380528	0.996858355683097
144	0.00251233040995353	0.00502466081990705	0.997487669590046
145	0.00320273069544321	0.00640546139088643	0.996797269304557
146	0.00143462761762637	0.00286925523525274	0.998565372382374
147	0.000567725839737391	0.00113545167947478	0.999432274160263
148	0.000190634110162393	0.000381268220324786	0.999809365889838

Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description	# significant tests	% significant tests	OK/NOK
1% type I error level	31	0.216783216783217	NOK
5% type I error level	47	0.328671328671329	NOK
10% type I error level	59	0.412587412587413	NOK