Multiple Linear Regression - Estimated Regression Equation

Member[t] = + 1.13063229552587 + 0.0785437330394767Provision[t] + 0.0679185931028256Illness[t] -0.0381110070875364Tobacco[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)	1.13063229552587	0.208643	5.419	0	0
Provision	0.0785437330394767	0.027454	2.8609	0.004815	0.002408
Illness	0.0679185931028256	0.11738	0.5786	0.563697	0.281848
Tobacco	-0.0381110070875364	0.041979	-0.9079	0.365382	0.182691

Multiple Linear Regression - Regression Statistics
Multiple R	0.233300950142260
R-squared	0.0544293333372814
Adjusted R-squared	0.0358887320301693
F-TEST (value)	2.93568328425262
F-TEST (DF numerator)	3
F-TEST (DF denominator)	153
p-value	0.0352584502761568
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation	0.489621071820791
Sum Squared Residuals	36.6785054775539

Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or Index	Actuals	Interpolation Forecast	Residuals Prediction Error
1	2	1.55315854673851	0.446841453261493
2	1	1.36028179243645	-0.360281792436451
3	1	1.55780198446735	-0.557801984467352
4	1	1.67213500572996	-0.672135005729958
5	2	1.55315854673854	0.446841453261459
6	2	1.55315854673854	0.446841453261459
7	1	1.43650380661153	-0.436503806611528
8	2	1.54253340680189	0.457466593198111
9	1	1.63170227977802	-0.631702279778018
10	2	1.55315854673854	0.446841453261459
11	1	1.16276160040556	-0.162761600405560
12	2	1.55315854673854	0.446841453261459
13	1	1.54253340680189	-0.542533406801889
14	2	1.63170227977802	0.368297720221982
15	2	1.67213500572996	0.327864994270041
16	2	1.59591299155489	0.404087008445114
17	1	1.31752734762011	-0.31752734762011
18	1	1.63170227977802	-0.631702279778018
19	1	1.35796007357205	-0.357960073572051
20	2	1.55548026560295	0.444519734397055
21	2	1.63170227977802	0.368297720221982
22	1	1.55315854673854	-0.553158546738541
23	2	1.63170227977802	0.368297720221982
24	2	1.54253340680189	0.457466593198111
25	2	1.42587866667488	0.574121333325124
26	2	1.47461481369906	0.525385186300936
27	2	1.62107713984137	0.378922860158634
28	2	1.69962087288084	0.300379127119157
29	1	1.69962087288084	-0.699620872880843
30	1	1.47461481369906	-0.474614813699064
31	2	1.63170227977802	0.368297720221982
32	1	1.63170227977802	-0.631702279778018
33	2	1.55315854673854	0.446841453261459
34	2	1.63170227977802	0.368297720221982
35	2	1.47461481369906	0.525385186300936
36	1	1.63170227977802	-0.631702279778018
37	2	1.71024601281749	0.289753987182505
38	1	1.55315854673854	-0.553158546738541
39	1	1.63170227977802	-0.631702279778018
40	2	1.69962087288084	0.300379127119157
41	1	1.50674411857876	-0.506744118578757
42	2	1.71024601281749	0.289753987182505
43	2	1.63170227977802	0.368297720221982
44	1	1.28173805939698	-0.281738059396978
45	1	1.43650380661153	-0.436503806611528
46	2	1.51504753965100	0.484952460348995
47	2	1.54253340680189	0.457466593198111
48	1	1.39607108065959	-0.396071080659587
49	2	1.51504753965100	0.484952460348995
50	2	1.55315854673854	0.446841453261459
51	1	1.47461481369906	-0.474614813699064
52	1	1.55315854673854	-0.553158546738541
53	2	1.23898361458063	0.761016385419367
54	2	1.38544594072294	0.614554059277065
55	2	1.39607108065959	0.603928919340413
56	1	1.43650380661153	-0.436503806611528
57	1	1.39607108065959	-0.396071080659587
58	1	1.71024601281749	-0.710246012817495
59	1	1.31752734762011	-0.31752734762011
60	1	1.43650380661153	-0.436503806611528
61	1	1.31752734762011	-0.31752734762011
62	2	1.51504753965100	0.484952460348995
63	2	1.51736925851541	0.482630741484591
64	2	1.63170227977802	0.368297720221982
65	2	1.63170227977802	0.368297720221982
66	1	1.63170227977802	-0.631702279778018
67	2	1.59359127269048	0.406408727309518
68	2	1.55548026560295	0.444519734397055
69	1	1.63170227977802	-0.631702279778018
70	1	1.47461481369906	-0.474614813699064
71	1	1.47461481369906	-0.474614813699064
72	2	1.55315854673854	0.446841453261459
73	1	1.63170227977802	-0.631702279778018
74	1	1.63170227977802	-0.631702279778018
75	1	1.71024601281749	-0.710246012817495
76	1	1.63170227977802	-0.631702279778018
77	2	1.69962087288084	0.300379127119157
78	1	1.59359127269048	-0.593591272690482
79	2	1.39607108065959	0.603928919340413
80	2	1.55315854673854	0.446841453261459
81	2	1.63170227977802	0.368297720221982
82	2	1.47461481369906	0.525385186300936
83	1	1.55315854673854	-0.553158546738541
84	2	1.63170227977802	0.368297720221982
85	2	1.63170227977802	0.368297720221982
86	1	1.39607108065959	-0.396071080659587
87	2	1.59359127269048	0.406408727309518
88	2	1.55315854673854	0.446841453261459
89	1	1.63170227977802	-0.631702279778018
90	1	1.47461481369906	-0.474614813699064
91	2	1.71024601281749	0.289753987182505
92	2	1.55315854673854	0.446841453261459
93	2	1.59359127269048	0.406408727309518
94	1	1.63170227977802	-0.631702279778018
95	2	1.47925825142787	0.520741748572128
96	1	1.77816460592032	-0.77816460592032
97	2	1.63170227977802	0.368297720221982
98	1	1.63170227977802	-0.631702279778018
99	1	1.59359127269048	-0.593591272690482
100	2	1.63170227977802	0.368297720221982
101	2	1.24130533344504	0.758694666554963
102	1	1.47461481369906	-0.474614813699064
103	2	1.47461481369906	0.525385186300936
104	2	1.63170227977802	0.368297720221982
105	1	1.47693653256347	-0.476936532563468
106	1	1.63170227977802	-0.631702279778018
107	1	1.63170227977802	-0.631702279778018
108	1	1.38544594072294	-0.385445940722935
109	2	1.71024601281749	0.289753987182505
110	1	1.23898361458063	-0.238983614580633
111	1	1.47461481369906	-0.474614813699064
112	1	1.20087260749310	-0.200872607493097
113	1	1.59359127269048	-0.593591272690482
114	2	1.51736925851541	0.482630741484591
115	1	1.51736925851541	-0.517369258515409
116	2	1.71024601281749	0.289753987182505
117	1	1.63170227977802	-0.631702279778018
118	2	1.47461481369906	0.525385186300936
119	2	1.47461481369906	0.525385186300936
120	1	1.51736925851541	-0.517369258515409
121	1	1.62107713984137	-0.621077139841366
122	2	1.71024601281749	0.289753987182505
123	2	1.47461481369906	0.525385186300936
124	1	1.47461481369906	-0.474614813699064
125	2	1.55548026560295	0.444519734397055
126	2	1.71024601281749	0.289753987182505
127	2	1.55315854673854	0.446841453261459
128	2	1.63170227977802	0.368297720221982
129	1	1.58528785161823	-0.585287851618234
130	2	1.51736925851541	0.482630741484591
131	2	1.55315854673854	0.446841453261459
132	2	1.67213500572996	0.327864994270041
133	2	1.47461481369906	0.525385186300936
134	1	1.59359127269048	-0.593591272690482
135	1	1.63170227977802	-0.631702279778018
136	2	1.63402399864242	0.365976001357578
137	2	1.59359127269048	0.406408727309518
138	2	1.59359127269048	0.406408727309518
139	2	1.55315854673854	0.446841453261459
140	1	1.55315854673854	-0.553158546738541
141	2	1.51504753965100	0.484952460348995
142	2	1.63170227977802	0.368297720221982
143	2	1.66150986579331	0.338490134206693
144	1	1.74005359883278	-0.740053598832784
145	1	1.47461481369906	-0.474614813699064
146	2	1.63170227977802	0.368297720221982
147	2	1.59359127269048	0.406408727309518
148	2	1.71024601281749	0.289753987182505
149	1	1.59359127269048	-0.593591272690482
150	2	1.71024601281749	0.289753987182505
151	2	1.54253340680189	0.457466593198111
152	2	1.63170227977802	0.368297720221982
153	1	1.47461481369906	-0.474614813699064
154	1	1.47461481369906	-0.474614813699064
155	2	1.71024601281749	0.289753987182505
156	1	1.47461481369906	-0.474614813699064
157	2	1.77816460592032	0.22183539407968

Goldfeld-Quandt test for Heteroskedasticity
p-values	Alternative Hypothesis
breakpoint index	greater	2-sided	less
7	0.62645683767383	0.74708632465234	0.37354316232617
8	0.46372923352297	0.92745846704594	0.53627076647703
9	0.566706716998540	0.866586566002919	0.433293283001460
10	0.504438669545157	0.991122660909686	0.495561330454843
11	0.428535580203182	0.857071160406364	0.571464419796818
12	0.37081384961609	0.74162769923218	0.62918615038391
13	0.488149021590964	0.976298043181929	0.511850978409036
14	0.421006119291285	0.84201223858257	0.578993880708715
15	0.404251305389171	0.808502610778342	0.595748694610829
16	0.522662591136375	0.95467481772725	0.477337408863625
17	0.493926673077888	0.987853346155777	0.506073326922112
18	0.59997128935593	0.80005742128814	0.40002871064407
19	0.545222956337152	0.909554087325696	0.454777043662848
20	0.55479409018234	0.89041181963532	0.44520590981766
21	0.500862199324698	0.998275601350604	0.499137800675302
22	0.537882959206856	0.924234081586289	0.462117040793144
23	0.49004826361884	0.98009652723768	0.50995173638116
24	0.469935043855374	0.939870087710748	0.530064956144626
25	0.47580459146412	0.95160918292824	0.52419540853588
26	0.478457001241127	0.956914002482254	0.521542998758873
27	0.42274859268998	0.84549718537996	0.57725140731002
28	0.367346543948423	0.734693087896847	0.632653456051577
29	0.515366152818336	0.969267694363329	0.484633847181664
30	0.520065989954053	0.959868020091894	0.479934010045947
31	0.482927284453509	0.965854568907018	0.517072715546491
32	0.535906628779538	0.928186742440923	0.464093371220462
33	0.518838543672837	0.962322912654326	0.481161456327163
34	0.484406016127814	0.968812032255627	0.515593983872186
35	0.481154228362557	0.962308456725114	0.518845771637443
36	0.533568127437889	0.932863745124222	0.466431872562111
37	0.491234310237415	0.982468620474829	0.508765689762585
38	0.514339976667321	0.971320046665358	0.485660023332679
39	0.553246364240873	0.893507271518253	0.446753635759127
40	0.511169919594611	0.977660160810778	0.488830080405389
41	0.502684871213568	0.994630257572865	0.497315128786432
42	0.464708587822664	0.929417175645328	0.535291412177336
43	0.436869026377662	0.873738052755323	0.563130973622338
44	0.395212997601153	0.790425995202305	0.604787002398847
45	0.379493674597652	0.758987349195303	0.620506325402348
46	0.384640433237877	0.769280866475755	0.615359566762123
47	0.369393752358338	0.738787504716677	0.630606247641662
48	0.354390075248079	0.708780150496159	0.645609924751921
49	0.358613731975989	0.717227463951977	0.641386268024011
50	0.346159296114005	0.692318592228011	0.653840703885995
51	0.347037767614241	0.694075535228482	0.652962232385759
52	0.364664901750202	0.729329803500404	0.635335098249798
53	0.433203490180666	0.866406980361332	0.566796509819334
54	0.452773783487201	0.905547566974402	0.547226216512799
55	0.470352094110396	0.94070418822079	0.529647905889604
56	0.459672340712046	0.919344681424093	0.540327659287954
57	0.449825563571665	0.89965112714333	0.550174436428335
58	0.504495305307686	0.991009389384628	0.495504694692314
59	0.480859039895579	0.961718079791158	0.519140960104421
60	0.467230789186636	0.934461578373272	0.532769210813364
61	0.440936749710354	0.881873499420707	0.559063250289646
62	0.446390554116382	0.892781108232763	0.553609445883618
63	0.460713668706242	0.921427337412485	0.539286331293757
64	0.439213374641528	0.878426749283055	0.560786625358472
65	0.417460294957286	0.834920589914572	0.582539705042714
66	0.450275717777236	0.900551435554472	0.549724282222764
67	0.436393502834517	0.872787005669034	0.563606497165483
68	0.429641582979285	0.85928316595857	0.570358417020715
69	0.461542189197704	0.923084378395408	0.538457810802296
70	0.457198221804159	0.914396443608318	0.542801778195841
71	0.452590136185087	0.905180272370175	0.547409863814913
72	0.444858166159639	0.889716332319279	0.55514183384036
73	0.474921330680983	0.949842661361966	0.525078669319017
74	0.504392619072382	0.991214761855237	0.495607380927618
75	0.554429219742922	0.891141560514157	0.445570780257078
76	0.583883499278719	0.832233001442563	0.416116500721281
77	0.56655599135304	0.86688801729392	0.43344400864696
78	0.589187890560262	0.821624218879477	0.410812109439738
79	0.615967926245901	0.768064147508198	0.384032073754099
80	0.609981680136643	0.780036639726714	0.390018319863357
81	0.591050190875237	0.817899618249525	0.408949809124763
82	0.600390928470538	0.799218143058923	0.399609071529462
83	0.612369995615271	0.775260008769458	0.387630004384729
84	0.592868956025806	0.814262087948388	0.407131043974194
85	0.572858478496362	0.854283043007277	0.427141521503638
86	0.554690782442183	0.890618435115634	0.445309217557817
87	0.539349627122904	0.921300745754192	0.460650372877096
88	0.531871458175423	0.936257083649154	0.468128541824577
89	0.564800597403182	0.870398805193637	0.435199402596818
90	0.561191050533171	0.877617898933659	0.438808949466829
91	0.529237130725644	0.941525738548712	0.470762869274356
92	0.520783975918509	0.958432048162982	0.479216024081491
93	0.503995369407431	0.992009261185138	0.496004630592569
94	0.538591435031343	0.922817129937314	0.461408564968657
95	0.54056980132145	0.9188603973571	0.45943019867855
96	0.594904497456596	0.810191005086808	0.405095502543404
97	0.571600714760841	0.856798570478317	0.428399285239159
98	0.609105063675345	0.781789872649309	0.390894936324655
99	0.63680067928576	0.72639864142848	0.36319932071424
100	0.612469757784858	0.775060484430285	0.387530242215142
101	0.705132290497748	0.589735419004503	0.294867709502252
102	0.701220987467545	0.59755802506491	0.298779012532455
103	0.711452150600653	0.577095698798694	0.288547849399347
104	0.687675561805332	0.624648876389335	0.312324438194668
105	0.680253170984343	0.639493658031314	0.319746829015657
106	0.725503141393031	0.548993717213939	0.274496858606969
107	0.773739871587255	0.452520256825491	0.226260128412745
108	0.74749819847666	0.50500360304668	0.25250180152334
109	0.712590980044614	0.574818039910771	0.287409019955386
110	0.67140421492735	0.657191570145299	0.328595785072650
111	0.67083760587364	0.658324788252720	0.329162394126360
112	0.62504168968033	0.749916620639339	0.374958310319669
113	0.666716504825728	0.666566990348543	0.333283495174272
114	0.672791268267025	0.654417463465951	0.327208731732975
115	0.67368003239049	0.65263993521902	0.32631996760951
116	0.630751298539954	0.738497402920091	0.369248701460046
117	0.705250075458013	0.589499849083974	0.294749924541987
118	0.710427385678797	0.579145228642405	0.289572614321203
119	0.722679818988398	0.554640362023204	0.277320181011602
120	0.74182192071415	0.516356158571699	0.258178079285849
121	0.743440810909422	0.513118378181155	0.256559189090578
122	0.699840845375477	0.600318309249045	0.300159154624523
123	0.718294979244808	0.563410041510383	0.281705020755192
124	0.709593774271303	0.580812451457394	0.290406225728697
125	0.687622873023524	0.624754253952951	0.312377126976476
126	0.636647599020927	0.726704801958145	0.363352400979073
127	0.618310205439537	0.763379589120926	0.381689794560463
128	0.575189592227741	0.849620815544517	0.424810407772259
129	0.609358068221478	0.781283863557043	0.390641931778522
130	0.577498220733769	0.845003558532462	0.422501779266231
131	0.565949188614186	0.868101622771628	0.434050811385814
132	0.51028686823872	0.97942626352256	0.48971313176128
133	0.561361453492364	0.877277093015272	0.438638546507636
134	0.623288713075943	0.753422573848115	0.376711286924057
135	0.706517638403433	0.586964723193134	0.293482361596567
136	0.646421378391728	0.707157243216544	0.353578621608272
137	0.607650512655615	0.78469897468877	0.392349487344385
138	0.581340411840271	0.837319176319459	0.418659588159729
139	0.579422048518308	0.841155902963383	0.420577951481692
140	0.592350071128314	0.815299857743373	0.407649928871686
141	0.714876169175005	0.57024766164999	0.285123830824995
142	0.659485711299403	0.681028577401194	0.340514288700597
143	0.692041301661876	0.615917396676248	0.307958698338124
144	0.870605019548125	0.25878996090375	0.129394980451875
145	0.816525831316093	0.366948337367815	0.183474168683907
146	0.771340123241979	0.457319753516043	0.228659876758021
147	0.91634101049127	0.16731797901746	0.08365898950873
148	0.846522152539057	0.306955694921887	0.153477847460943
149	0.734674029332063	0.530651941335873	0.265325970667937
150	0.578858261777207	0.842283476445587	0.421141738222793

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