Multiple Linear Regression - Estimated Regression Equation

CorrectAnalysis[t] = -0.0120098995385728 -0.0127358831515425UseLimit[t] + 0.237333074487545Used[t] + 0.0493474167869582Useful[t] -0.0305819634101805Outcome[t] + 0.158634174536241T40[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)	-0.0120098995385728	0.030558	-0.393	0.694875	0.347437
UseLimit	-0.0127358831515425	0.041285	-0.3085	0.758144	0.379072
Used	0.237333074487545	0.043819	5.4162	0	0
Useful	0.0493474167869582	0.045331	1.0886	0.278098	0.139049
Outcome	-0.0305819634101805	0.039692	-0.7705	0.442247	0.221124
T40	0.158634174536241	0.05493	2.8879	0.00446	0.00223

Multiple Linear Regression - Regression Statistics
Multiple R	0.507465960155506
R-squared	0.25752170071655
Adjusted R-squared	0.232437974389406
F-TEST (value)	10.2664850253083
F-TEST (DF numerator)	5
F-TEST (DF denominator)	148
p-value	1.83115576035675e-08
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation	0.235605519034018
Sum Squared Residuals	8.2154741686948

Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or Index	Actuals	Interpolation Forecast	Residuals Prediction Error
1	0	0.103306428435946	-0.103306428435946
2	0	-0.0120098995385727	0.0120098995385727
3	0	-0.0120098995385732	0.0120098995385732
4	0	-0.0120098995385728	0.0120098995385728
5	0	-0.0120098995385729	0.0120098995385729
6	0	-0.00598032931333763	0.00598032931333763
7	0	-0.0120098995385728	0.0120098995385728
8	0	0.146624274997669	-0.146624274997669
9	0	-0.0425918629487533	0.0425918629487533
10	0	-0.0247457826901153	0.0247457826901153
11	0	0.133888391846126	-0.133888391846126
12	0	-0.0120098995385728	0.0120098995385728
13	0	0.27467059173593	-0.27467059173593
14	0	0.133888391846126	-0.133888391846126
15	0	0.24408862832575	-0.24408862832575
16	0	0.402722802861991	-0.402722802861991
17	1	0.420568883120629	0.579431116879371
18	0	0.133888391846126	-0.133888391846126
19	0	-0.0425918629487533	0.0425918629487533
20	1	0.402722802861991	0.597277197138009
21	0	0.0246016340968428	-0.0246016340968428
22	0	0.231352745174207	-0.231352745174207
23	0	0.00675555383820483	-0.00675555383820483
24	0	-0.00598032931333766	0.00598032931333766
25	0	0.353375386075033	-0.353375386075033
26	0	0.27467059173593	-0.27467059173593
27	0	-0.0553277461002958	0.0553277461002958
28	0	0.225323174948972	-0.225323174948972
29	0	-0.0425918629487533	0.0425918629487533
30	0	0.0373375172483853	-0.0373375172483853
31	0	-0.0120098995385728	0.0120098995385728
32	0	-0.0247457826901153	0.0247457826901153
33	0	0.0246016340968428	-0.0246016340968428
34	0	0.116042311587488	-0.116042311587488
35	0	-0.0120098995385728	0.0120098995385728
36	0	-0.0120098995385728	0.0120098995385728
37	0	0.420568883120629	-0.420568883120629
38	0	0.194741211538791	-0.194741211538791
39	0	0.00675555383820483	-0.00675555383820483
40	0	0.195971691784627	-0.195971691784627
41	1	0.24408862832575	0.75591137167425
42	0	0.194741211538791	-0.194741211538791
43	0	-0.00598032931333766	0.00598032931333766
44	0	0.133888391846126	-0.133888391846126
45	0	0.0373375172483853	-0.0373375172483853
46	0	0.00675555383820483	-0.00675555383820483
47	0	-0.0120098995385728	0.0120098995385728
48	0	-0.0425918629487533	0.0425918629487533
49	0	0.00675555383820483	-0.00675555383820483
50	0	-0.0120098995385728	0.0120098995385728
51	0	0.383957349485213	-0.383957349485213
52	1	0.420568883120629	0.579431116879371
53	0	-0.0425918629487533	0.0425918629487533
54	1	0.225323174948972	0.774676825051028
55	0	-0.0120098995385728	0.0120098995385728
56	0	0.353375386075033	-0.353375386075033
57	0	0.24408862832575	-0.24408862832575
58	0	-0.0425918629487533	0.0425918629487533
59	0	-0.0425918629487533	0.0425918629487533
60	1	0.389986919710449	0.610013080289551
61	0	0.103306428435946	-0.103306428435946
62	0	0.27467059173593	-0.27467059173593
63	0	-0.0120098995385728	0.0120098995385728
64	0	0.103306428435946	-0.103306428435946
65	0	-0.0120098995385728	0.0120098995385728
66	0	-0.0120098995385728	0.0120098995385728
67	1	0.433304766272172	0.566695233727828
68	0	-0.0247457826901153	0.0247457826901153
69	0	-0.0425918629487533	0.0425918629487533
70	0	0.225323174948972	-0.225323174948972
71	0	-0.0120098995385728	0.0120098995385728
72	0	-0.0425918629487533	0.0425918629487533
73	0	0.194741211538791	-0.194741211538791
74	0	0.212587291797429	-0.212587291797429
75	0	-0.0425918629487533	0.0425918629487533
76	0	0.165389728374446	-0.165389728374446
77	0	-0.0425918629487533	0.0425918629487533
78	0	0.24408862832575	-0.24408862832575
79	1	0.353375386075033	0.646624613924967
80	0	0.195971691784627	-0.195971691784627
81	0	-0.0120098995385728	0.0120098995385728
82	0	0.182005328387249	-0.182005328387249
83	0	-0.0120098995385728	0.0120098995385728
84	1	0.225323174948972	0.774676825051028
85	0	0.00675555383820483	-0.00675555383820483
86	0	-0.0247457826901153	0.0247457826901153
87	0	-0.0553277461002958	0.0553277461002958
88	0	0.182005328387249	-0.182005328387249
89	0	-0.0120098995385728	0.0120098995385728
90	0	-0.0425918629487533	0.0425918629487533
91	0	0.0373375172483853	-0.0373375172483853
92	0	-0.0247457826901153	0.0247457826901153
93	0	0.0246016340968428	-0.0246016340968428
94	0	-0.0120098995385728	0.0120098995385728
95	0	-0.0120098995385728	0.0120098995385728
96	0	-0.0425918629487533	0.0425918629487533
97	0	-0.0247457826901153	0.0247457826901153
98	0	-0.0120098995385728	0.0120098995385728
99	0	-0.0247457826901153	0.0247457826901153
100	0	-0.0425918629487533	0.0425918629487533
101	0	-0.0553277461002958	0.0553277461002958
102	0	-0.0120098995385728	0.0120098995385728
103	0	-0.0120098995385728	0.0120098995385728
104	0	-0.0120098995385728	0.0120098995385728
105	0	0.225323174948972	-0.225323174948972
106	0	-0.0120098995385728	0.0120098995385728
107	0	-0.0120098995385728	0.0120098995385728
108	0	0.212587291797429	-0.212587291797429
109	0	-0.0120098995385728	0.0120098995385728
110	0	-0.0247457826901153	0.0247457826901153
111	0	0.261934708584388	-0.261934708584388
112	0	-0.0120098995385728	0.0120098995385728
113	0	0.225323174948972	-0.225323174948972
114	0	0.212587291797429	-0.212587291797429
115	0	-0.0247457826901153	0.0247457826901153
116	0	-0.0120098995385728	0.0120098995385728
117	0	-0.0553277461002958	0.0553277461002958
118	0	-0.0247457826901153	0.0247457826901153
119	0	-0.0120098995385728	0.0120098995385728
120	0	-0.0425918629487533	0.0425918629487533
121	0	-0.0247457826901153	0.0247457826901153
122	0	-0.0120098995385728	0.0120098995385728
123	0	0.212587291797429	-0.212587291797429
124	0	0.24408862832575	-0.24408862832575
125	0	-0.0425918629487533	0.0425918629487533
126	0	-0.0120098995385728	0.0120098995385728
127	0	0.0373375172483853	-0.0373375172483853
128	0	-0.0425918629487533	0.0425918629487533
129	0	-0.0120098995385728	0.0120098995385728
130	0	-0.0425918629487533	0.0425918629487533
131	0	-0.0247457826901153	0.0247457826901153
132	0	-0.0553277461002958	0.0553277461002958
133	0	0.212587291797429	-0.212587291797429
134	0	-0.0120098995385728	0.0120098995385728
135	0	-0.0120098995385728	0.0120098995385728
136	0	-0.0120098995385728	0.0120098995385728
137	0	0.231352745174207	-0.231352745174207
138	0	0.231352745174207	-0.231352745174207
139	0	-0.0120098995385728	0.0120098995385728
140	0	-0.0120098995385728	0.0120098995385728
141	1	0.194741211538791	0.805258788461209
142	0	0.194741211538791	-0.194741211538791
143	0	-0.0247457826901153	0.0247457826901153
144	0	0.00675555383820483	-0.00675555383820483
145	0	0.0373375172483853	-0.0373375172483853
146	0	-0.0425918629487533	0.0425918629487533
147	0	0.225323174948972	-0.225323174948972
148	0	-0.0120098995385728	0.0120098995385728
149	0	-0.0247457826901153	0.0247457826901153
150	0	0.00675555383820483	-0.00675555383820483
151	0	-0.0425918629487533	0.0425918629487533
152	1	0.21258729179743	0.78741270820257
153	1	0.261934708584388	0.738065291415612
154	0	0.212587291797429	-0.212587291797429

Goldfeld-Quandt test for Heteroskedasticity
p-values	Alternative Hypothesis
breakpoint index	greater	2-sided	less
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	0.355129983517504	0.710259967035009	0.644870016482496
18	0.313155294007714	0.626310588015427	0.686844705992286
19	0.2844006003136	0.568801200627201	0.7155993996864
20	0.802457042759137	0.395085914481726	0.197542957240863
21	0.745611627190279	0.508776745619442	0.254388372809721
22	0.73245419206572	0.53509161586856	0.26754580793428
23	0.668503172689896	0.662993654620209	0.331496827310104
24	0.601687562738282	0.796624874523437	0.398312437261718
25	0.606287963100271	0.787424073799457	0.393712036899729
26	0.609470428928336	0.781059142143328	0.390529571071664
27	0.567868762406302	0.864262475187397	0.432131237593698
28	0.512967484997909	0.974065030004183	0.487032515002091
29	0.460426413312936	0.920852826625872	0.539573586687064
30	0.404085754769122	0.808171509538244	0.595914245230878
31	0.347175141693252	0.694350283386504	0.652824858306748
32	0.294353480874591	0.588706961749181	0.705646519125409
33	0.246245193265055	0.492490386530109	0.753754806734945
34	0.209296512498803	0.418593024997605	0.790703487501197
35	0.170105966387292	0.340211932774584	0.829894033612708
36	0.13598985943978	0.271979718879559	0.86401014056022
37	0.194799012435607	0.389598024871214	0.805200987564393
38	0.163118926612086	0.326237853224172	0.836881073387914
39	0.130315078320154	0.260630156640309	0.869684921679846
40	0.126834894384627	0.253669788769253	0.873165105615373
41	0.639040854468668	0.721918291062664	0.360959145531332
42	0.607422581211641	0.785154837576718	0.392577418788359
43	0.556262574604075	0.88747485079185	0.443737425395925
44	0.518373266907157	0.963253466185686	0.481626733092843
45	0.466931914354895	0.93386382870979	0.533068085645105
46	0.416600187350305	0.83320037470061	0.583399812649695
47	0.36768323479135	0.735366469582701	0.63231676520865
48	0.320830483647695	0.64166096729539	0.679169516352305
49	0.277061617686984	0.554123235373968	0.722938382313016
50	0.236414564078365	0.47282912815673	0.763585435921635
51	0.292155218383044	0.584310436766088	0.707844781616956
52	0.566543322332586	0.866913355334828	0.433456677667414
53	0.520519964997852	0.958960070004296	0.479480035002148
54	0.900392456599062	0.199215086801876	0.0996075434009378
55	0.877144053485495	0.245711893029011	0.122855946514505
56	0.915541933609216	0.168916132781568	0.0844580663907839
57	0.915237695875709	0.169524608248582	0.0847623041242912
58	0.896279064055019	0.207441871889963	0.103720935944981
59	0.87426797568897	0.25146404862206	0.12573202431103
60	0.95725108594522	0.0854978281095609	0.0427489140547804
61	0.952026297318551	0.0959474053628978	0.0479737026814489
62	0.954842184660438	0.0903156306791241	0.045157815339562
63	0.942529785798506	0.114940428402988	0.0574702142014942
64	0.940999640586858	0.118000718826283	0.0590003594131415
65	0.925881532108589	0.148236935782822	0.0741184678914111
66	0.90795620047606	0.184087599047881	0.0920437995239404
67	0.962223305948606	0.0755533881027874	0.0377766940513937
68	0.951330533163216	0.0973389336735675	0.0486694668367838
69	0.939007544830474	0.121984910339052	0.0609924551695258
70	0.937598737346503	0.124802525306993	0.0624012626534967
71	0.921878865124951	0.156242269750098	0.0781211348750491
72	0.904168315072004	0.191663369855992	0.0958316849279959
73	0.898710547177406	0.202578905645189	0.101289452822595
74	0.894467906569109	0.211064186861782	0.105532093430891
75	0.872470719776565	0.25505856044687	0.127529280223435
76	0.873146415166471	0.253707169667059	0.126853584833529
77	0.848192281629461	0.303615436741078	0.151807718370539
78	0.846257853175564	0.307484293648872	0.153742146824436
79	0.954056455807613	0.091887088384774	0.045943544192387
80	0.945161164048751	0.109677671902497	0.0548388359512487
81	0.930823636887343	0.138352726225315	0.0691763631126573
82	0.924194171651782	0.151611656696436	0.0758058283482179
83	0.905816130368697	0.188367739262606	0.094183869631303
84	0.994801520490998	0.0103969590180041	0.00519847950900204
85	0.992660780178225	0.0146784396435506	0.00733921982177528
86	0.989791155441383	0.0204176891172339	0.0102088445586169
87	0.9860960462483	0.0278079075034001	0.0139039537517
88	0.984494239975788	0.0310115200484231	0.0155057600242116
89	0.979024047992778	0.0419519040144446	0.0209759520072223
90	0.972179365696572	0.0556412686068553	0.0278206343034276
91	0.963377753029695	0.0732444939406108	0.0366222469703054
92	0.952343090481778	0.0953138190364444	0.0476569095182222
93	0.938739455236122	0.122521089527756	0.0612605447638782
94	0.922158812978904	0.155682374042192	0.0778411870210961
95	0.902310826932999	0.195378346134003	0.0976891730670014
96	0.879451856036154	0.241096287927692	0.120548143963846
97	0.852467996547441	0.295064006905119	0.147532003452559
98	0.821452978728366	0.357094042543268	0.178547021271634
99	0.786635669616287	0.426728660767427	0.213364330383713
100	0.748649960090613	0.502700079818774	0.251350039909387
101	0.707611311551849	0.584777376896302	0.292388688448151
102	0.66215575081222	0.67568849837556	0.33784424918778
103	0.614001268730217	0.771997462539567	0.385998731269783
104	0.56380617753546	0.87238764492908	0.43619382246454
105	0.549961947137663	0.900076105724674	0.450038052862337
106	0.498040153464791	0.996080306929581	0.501959846535209
107	0.445900175305744	0.891800350611489	0.554099824694256
108	0.43369941549874	0.867398830997481	0.56630058450126
109	0.382220575360958	0.764441150721915	0.617779424639042
110	0.332761348267191	0.665522696534382	0.667238651732809
111	0.332035125917087	0.664070251834173	0.667964874082913
112	0.284453446551416	0.568906893102831	0.715546553448584
113	0.28023048799992	0.56046097599984	0.71976951200008
114	0.282458832824177	0.564917665648355	0.717541167175823
115	0.238059371615284	0.476118743230568	0.761940628384716
116	0.197116811462478	0.394233622924956	0.802883188537522
117	0.161436829262061	0.322873658524122	0.838563170737939
118	0.129454414632344	0.258908829264689	0.870545585367656
119	0.101765580504608	0.203531161009217	0.898234419495392
120	0.0787557028053423	0.157511405610685	0.921244297194658
121	0.0596780790033955	0.119356158006791	0.940321920996604
122	0.0442068448222597	0.0884136896445194	0.95579315517774
123	0.0479264175522581	0.0958528351045161	0.952073582447742
124	0.0496117754499632	0.0992235508999264	0.950388224550037
125	0.0360355237701389	0.0720710475402778	0.963964476229861
126	0.0254294817168864	0.0508589634337729	0.974570518283114
127	0.01761413383158	0.0352282676631599	0.98238586616842
128	0.0118884601288268	0.0237769202576536	0.988111539871173
129	0.00775212439463295	0.0155042487892659	0.992247875605367
130	0.00495425078680114	0.00990850157360228	0.995045749213199
131	0.00304164237425569	0.00608328474851137	0.996958357625744
132	0.00187861224719715	0.0037572244943943	0.998121387752803
133	0.00254686700262975	0.0050937340052595	0.99745313299737
134	0.00146539670349539	0.00293079340699077	0.998534603296505
135	0.000811492357373252	0.0016229847147465	0.999188507642627
136	0.000431646155075436	0.000863292310150872	0.999568353844925
137	0.000586976529436942	0.00117395305887388	0.999413023470563
138	0.00343810375302401	0.00687620750604803	0.996561896246976
139	0.00207542171654789	0.00415084343309578	0.997924578283452
140	0.00135242143701881	0.00270484287403762	0.998647578562981
141	0.0396281218877728	0.0792562437755456	0.960371878112227
142	0.0316042422778543	0.0632084845557085	0.968395757722146
143	0.0186702381332255	0.037340476266451	0.981329761866774
144	0.0100470962520024	0.0200941925040049	0.989952903747998
145	0.00421064321724175	0.0084212864344835	0.995789356782758

Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description	# significant tests	% significant tests	OK/NOK
1% type I error level	20	0.145985401459854	NOK
5% type I error level	31	0.226277372262774	NOK
10% type I error level	47	0.343065693430657	NOK