Multiple Linear Regression - Estimated Regression Equation

y[t] = + 12.6172699237137 + 0.874533354974842x[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)	12.6172699237137	0.633471	19.9177	0	0
x	0.874533354974842	0.373902	2.3389	0.020575	0.010287

Multiple Linear Regression - Regression Statistics
Multiple R	0.181826835929637
R-squared	0.0330609982641832
Adjusted R-squared	0.0270176295033342
F-TEST (value)	5.47062401327624
F-TEST (DF numerator)	1
F-TEST (DF denominator)	160
p-value	0.0205749436237584
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation	2.30582339712113
Sum Squared Residuals	850.6914461938

Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or Index	Actuals	Interpolation Forecast	Residuals Prediction Error
1	14	14.3663366336634	-0.366336633663402
2	18	14.3663366336634	3.63366336633664
3	11	14.3663366336634	-3.36633663366337
4	12	13.4918032786885	-1.49180327868852
5	16	14.3663366336634	1.63366336633663
6	18	14.3663366336634	3.63366336633663
7	14	14.3663366336634	-0.366336633663366
8	14	14.3663366336634	-0.366336633663366
9	15	14.3663366336634	0.633663366336634
10	15	14.3663366336634	0.633663366336634
11	17	13.4918032786885	3.50819672131148
12	19	14.3663366336634	4.63366336633663
13	10	13.4918032786885	-3.49180327868853
14	16	14.3663366336634	1.63366336633663
15	18	14.3663366336634	3.63366336633663
16	14	13.4918032786885	0.508196721311475
17	14	13.4918032786885	0.508196721311475
18	17	14.3663366336634	2.63366336633663
19	14	13.4918032786885	0.508196721311475
20	16	14.3663366336634	1.63366336633663
21	18	13.4918032786885	4.50819672131148
22	11	14.3663366336634	-3.36633663366337
23	14	14.3663366336634	-0.366336633663366
24	12	14.3663366336634	-2.36633663366337
25	17	13.4918032786885	3.50819672131148
26	9	14.3663366336634	-5.36633663366337
27	16	13.4918032786885	2.50819672131148
28	14	14.3663366336634	-0.366336633663366
29	15	14.3663366336634	0.633663366336634
30	11	13.4918032786885	-2.49180327868852
31	16	14.3663366336634	1.63366336633663
32	13	13.4918032786885	-0.491803278688525
33	17	14.3663366336634	2.63366336633663
34	15	14.3663366336634	0.633663366336634
35	14	13.4918032786885	0.508196721311475
36	16	13.4918032786885	2.50819672131148
37	9	13.4918032786885	-4.49180327868852
38	15	13.4918032786885	1.50819672131148
39	17	14.3663366336634	2.63366336633663
40	13	13.4918032786885	-0.491803278688525
41	15	13.4918032786885	1.50819672131148
42	16	14.3663366336634	1.63366336633663
43	16	13.4918032786885	2.50819672131148
44	12	13.4918032786885	-1.49180327868852
45	12	14.3663366336634	-2.36633663366337
46	11	14.3663366336634	-3.36633663366337
47	15	14.3663366336634	0.633663366336634
48	15	14.3663366336634	0.633663366336634
49	17	14.3663366336634	2.63366336633663
50	13	13.4918032786885	-0.491803278688525
51	16	14.3663366336634	1.63366336633663
52	14	13.4918032786885	0.508196721311475
53	11	13.4918032786885	-2.49180327868852
54	12	14.3663366336634	-2.36633663366337
55	12	13.4918032786885	-1.49180327868852
56	15	14.3663366336634	0.633663366336634
57	16	14.3663366336634	1.63366336633663
58	15	14.3663366336634	0.633663366336634
59	12	13.4918032786885	-1.49180327868852
60	12	14.3663366336634	-2.36633663366337
61	8	13.4918032786885	-5.49180327868852
62	13	13.4918032786885	-0.491803278688525
63	11	14.3663366336634	-3.36633663366337
64	14	14.3663366336634	-0.366336633663366
65	15	14.3663366336634	0.633663366336634
66	10	13.4918032786885	-3.49180327868853
67	11	14.3663366336634	-3.36633663366337
68	12	13.4918032786885	-1.49180327868852
69	15	14.3663366336634	0.633663366336634
70	15	13.4918032786885	1.50819672131148
71	14	13.4918032786885	0.508196721311475
72	16	14.3663366336634	1.63366336633663
73	15	14.3663366336634	0.633663366336634
74	15	13.4918032786885	1.50819672131148
75	13	13.4918032786885	-0.491803278688525
76	12	14.3663366336634	-2.36633663366337
77	17	14.3663366336634	2.63366336633663
78	13	14.3663366336634	-1.36633663366337
79	15	13.4918032786885	1.50819672131148
80	13	13.4918032786885	-0.491803278688525
81	15	13.4918032786885	1.50819672131148
82	16	13.4918032786885	2.50819672131148
83	15	14.3663366336634	0.633663366336634
84	16	13.4918032786885	2.50819672131148
85	15	14.3663366336634	0.633663366336634
86	14	14.3663366336634	-0.366336633663366
87	15	13.4918032786885	1.50819672131148
88	14	14.3663366336634	-0.366336633663366
89	13	14.3663366336634	-1.36633663366337
90	7	14.3663366336634	-7.36633663366337
91	17	14.3663366336634	2.63366336633663
92	13	14.3663366336634	-1.36633663366337
93	15	14.3663366336634	0.633663366336634
94	14	14.3663366336634	-0.366336633663366
95	13	14.3663366336634	-1.36633663366337
96	16	14.3663366336634	1.63366336633663
97	12	14.3663366336634	-2.36633663366337
98	14	14.3663366336634	-0.366336633663366
99	17	13.4918032786885	3.50819672131148
100	15	13.4918032786885	1.50819672131148
101	17	14.3663366336634	2.63366336633663
102	12	13.4918032786885	-1.49180327868852
103	16	14.3663366336634	1.63366336633663
104	11	13.4918032786885	-2.49180327868852
105	15	14.3663366336634	0.633663366336634
106	9	13.4918032786885	-4.49180327868852
107	16	14.3663366336634	1.63366336633663
108	15	13.4918032786885	1.50819672131148
109	10	13.4918032786885	-3.49180327868853
110	10	14.3663366336634	-4.36633663366337
111	15	14.3663366336634	0.633663366336634
112	11	14.3663366336634	-3.36633663366337
113	13	14.3663366336634	-1.36633663366337
114	14	13.4918032786885	0.508196721311475
115	18	14.3663366336634	3.63366336633663
116	16	13.4918032786885	2.50819672131148
117	14	14.3663366336634	-0.366336633663366
118	14	14.3663366336634	-0.366336633663366
119	14	14.3663366336634	-0.366336633663366
120	14	14.3663366336634	-0.366336633663366
121	12	14.3663366336634	-2.36633663366337
122	14	14.3663366336634	-0.366336633663366
123	15	14.3663366336634	0.633663366336634
124	15	14.3663366336634	0.633663366336634
125	15	14.3663366336634	0.633663366336634
126	13	14.3663366336634	-1.36633663366337
127	17	13.4918032786885	3.50819672131148
128	17	14.3663366336634	2.63366336633663
129	19	14.3663366336634	4.63366336633663
130	15	14.3663366336634	0.633663366336634
131	13	13.4918032786885	-0.491803278688525
132	9	13.4918032786885	-4.49180327868852
133	15	14.3663366336634	0.633663366336634
134	15	13.4918032786885	1.50819672131148
135	15	13.4918032786885	1.50819672131148
136	16	14.3663366336634	1.63366336633663
137	11	13.4918032786885	-2.49180327868852
138	14	13.4918032786885	0.508196721311475
139	11	14.3663366336634	-3.36633663366337
140	15	14.3663366336634	0.633663366336634
141	13	13.4918032786885	-0.491803278688525
142	15	14.3663366336634	0.633663366336634
143	16	13.4918032786885	2.50819672131148
144	14	14.3663366336634	-0.366336633663366
145	15	13.4918032786885	1.50819672131148
146	16	14.3663366336634	1.63366336633663
147	16	14.3663366336634	1.63366336633663
148	11	13.4918032786885	-2.49180327868852
149	12	13.4918032786885	-1.49180327868852
150	9	13.4918032786885	-4.49180327868852
151	16	14.3663366336634	1.63366336633663
152	13	14.3663366336634	-1.36633663366337
153	16	13.4918032786885	2.50819672131148
154	12	14.3663366336634	-2.36633663366337
155	9	14.3663366336634	-5.36633663366337
156	13	14.3663366336634	-1.36633663366337
157	13	14.3663366336634	-1.36633663366337
158	14	14.3663366336634	-0.366336633663366
159	19	14.3663366336634	4.63366336633663
160	13	14.3663366336634	-1.36633663366337
161	12	14.3663366336634	-2.36633663366337
162	13	14.3663366336634	-1.36633663366337

Goldfeld-Quandt test for Heteroskedasticity
p-values	Alternative Hypothesis
breakpoint index	greater	2-sided	less
5	0.827120803337438	0.345758393325124	0.172879196662562
6	0.842154000555798	0.315691998888404	0.157845999444202
7	0.771109571435118	0.457780857129765	0.228890428564882
8	0.68664573426683	0.626708531466339	0.313354265733169
9	0.577598084895057	0.844803830209886	0.422401915104943
10	0.468031112662852	0.936062225325705	0.531968887337148
11	0.598759691238616	0.802480617522769	0.401240308761384
12	0.732462165953955	0.535075668092091	0.267537834046046
13	0.811623300014233	0.376753399971534	0.188376699985767
14	0.755251378227499	0.489497243545002	0.244748621772501
15	0.763935357878007	0.472129284243986	0.236064642121993
16	0.706486533251013	0.587026933497975	0.293513466748987
17	0.641628974707846	0.716742050584309	0.358371025292154
18	0.599488121936204	0.801023756127592	0.400511878063796
19	0.530188885090307	0.939622229819386	0.469811114909693
20	0.462993367089153	0.925986734178305	0.537006632910847
21	0.627458797481147	0.745082405037707	0.372541202518853
22	0.775260718613719	0.449478562772562	0.224739281386281
23	0.738972182421354	0.522055635157292	0.261027817578646
24	0.774683200642711	0.450633598714577	0.225316799357289
25	0.794099387247822	0.411801225504356	0.205900612752178
26	0.939862651353344	0.120274697293312	0.0601373486466562
27	0.930725375850375	0.138549248299250	0.0692746241496248
28	0.910881281435606	0.178237437128788	0.0891187185643941
29	0.88560742381401	0.228785152371979	0.114392576185990
30	0.906061671148585	0.187876657702829	0.0939383288514147
31	0.888201610885907	0.223596778228185	0.111798389114093
32	0.865348891018073	0.269302217963853	0.134651108981927
33	0.862141903063667	0.275716193872665	0.137858096936333
34	0.830306791645397	0.339386416709205	0.169693208354603
35	0.794228253559332	0.411543492881336	0.205771746440668
36	0.783879341748973	0.432241316502055	0.216120658251027
37	0.889054955575734	0.221890088848531	0.110945044424266
38	0.869626259671274	0.260747480657451	0.130373740328725
39	0.866876245898224	0.266247508203552	0.133123754101776
40	0.840740428280944	0.318519143438112	0.159259571719056
41	0.81710827013777	0.365783459724458	0.182891729862229
42	0.79200573853187	0.41598852293626	0.20799426146813
43	0.78772340460079	0.424553190798421	0.212276595399210
44	0.773581879122761	0.452836241754477	0.226418120877239
45	0.788628672769059	0.422742654461883	0.211371327230941
46	0.836610362982362	0.326779274035276	0.163389637017638
47	0.80559911207586	0.38880177584828	0.19440088792414
48	0.771447094236372	0.457105811527257	0.228552905763628
49	0.772973840002015	0.454052319995969	0.227026159997985
50	0.739263758385519	0.521472483228962	0.260736241614481
51	0.713340913347128	0.573318173305744	0.286659086652872
52	0.672255844147722	0.655488311704557	0.327744155852278
53	0.686988777586059	0.626022444827882	0.313011222413941
54	0.69924879424213	0.601502411515741	0.300751205757870
55	0.677672544191755	0.64465491161649	0.322327455808245
56	0.636209239496294	0.727581521007411	0.363790760503706
57	0.608678781336563	0.782642437326875	0.391321218663437
58	0.565245054098223	0.869509891803554	0.434754945901777
59	0.540560875272915	0.91887824945417	0.459439124727085
60	0.552587886979654	0.894824226040691	0.447412113020346
61	0.748884804267338	0.502230391465325	0.251115195732662
62	0.71215435580507	0.575691288389861	0.287845644194931
63	0.760000232769349	0.479999534461303	0.239999767230651
64	0.724737614509978	0.550524770980045	0.275262385490022
65	0.687630077709121	0.624739844581758	0.312369922290879
66	0.734945453225843	0.530109093548314	0.265054546774157
67	0.777469243735742	0.445061512528516	0.222530756264258
68	0.756340007403303	0.487319985193395	0.243659992596697
69	0.721807276845492	0.556385446309015	0.278192723154508
70	0.700118510381317	0.599762979237367	0.299881489618683
71	0.661751267303426	0.676497465393147	0.338248732696573
72	0.639377748152498	0.721244503695004	0.360622251847502
73	0.59924445403875	0.801511091922499	0.400755545961249
74	0.574048123575166	0.851903752849667	0.425951876424834
75	0.531292808219847	0.937414383560307	0.468707191780153
76	0.535197864078432	0.929604271843137	0.464802135921568
77	0.546856147941563	0.906287704116873	0.453143852058437
78	0.518645013874195	0.96270997225161	0.481354986125805
79	0.492542081237707	0.985084162475414	0.507457918762293
80	0.449671246028819	0.899342492057639	0.55032875397118
81	0.423773513539913	0.847547027079826	0.576226486460087
82	0.431151792315832	0.862303584631665	0.568848207684168
83	0.390677030654657	0.781354061309314	0.609322969345343
84	0.39870880211536	0.79741760423072	0.60129119788464
85	0.359224992598095	0.718449985196191	0.640775007401905
86	0.319327623651605	0.638655247303211	0.680672376348395
87	0.297336437114614	0.594672874229228	0.702663562885386
88	0.260625869795522	0.521251739591044	0.739374130204478
89	0.237336804871619	0.474673609743239	0.76266319512838
90	0.621010018182109	0.757979963635783	0.378989981817891
91	0.634238977211812	0.731522045576376	0.365761022788188
92	0.605403977577235	0.78919204484553	0.394596022422765
93	0.564420542825694	0.871158914348612	0.435579457174306
94	0.520012118311554	0.959975763376891	0.479987881688446
95	0.489548457880548	0.979096915761096	0.510451542119452
96	0.467047735882649	0.934095471765298	0.532952264117351
97	0.467583326844136	0.935166653688271	0.532416673155864
98	0.422975476518414	0.845950953036827	0.577024523481586
99	0.48899574764547	0.97799149529094	0.51100425235453
100	0.468129104417515	0.93625820883503	0.531870895582485
101	0.482931723102586	0.965863446205172	0.517068276897414
102	0.451692224017544	0.903384448035087	0.548307775982456
103	0.429865285686111	0.859730571372222	0.570134714313889
104	0.429878459463466	0.859756918926932	0.570121540536534
105	0.388294651815864	0.776589303631729	0.611705348184136
106	0.507329358067536	0.985341283864927	0.492670641932464
107	0.486185099147082	0.972370198294164	0.513814900852918
108	0.460702464991797	0.921404929983594	0.539297535008203
109	0.517745108272248	0.964509783455505	0.482254891727752
110	0.632274809816886	0.735450380366228	0.367725190183114
111	0.589680330450407	0.820639339099185	0.410319669549593
112	0.639522863641396	0.720954272717208	0.360477136358604
113	0.608558363523585	0.782883272952831	0.391441636476415
114	0.562330709764795	0.87533858047041	0.437669290235205
115	0.635888179699077	0.728223640601846	0.364111820300923
116	0.648118340859484	0.703763318281031	0.351881659140516
117	0.60054571003669	0.79890857992662	0.39945428996331
118	0.551186541776989	0.897626916446022	0.448813458223011
119	0.50076882592805	0.9984623481439	0.49923117407195
120	0.450081312691069	0.900162625382138	0.549918687308931
121	0.450211008497606	0.900422016995211	0.549788991502394
122	0.399971077757246	0.799942155514492	0.600028922242754
123	0.353306754527817	0.706613509055635	0.646693245472183
124	0.308622410194243	0.617244820388486	0.691377589805757
125	0.266498911719991	0.532997823439982	0.733501088280009
126	0.237086532284946	0.474173064569893	0.762913467715054
127	0.30424855701515	0.6084971140303	0.69575144298485
128	0.317957013882352	0.635914027764704	0.682042986117648
129	0.492558004618627	0.985116009237255	0.507441995381373
130	0.444943169559055	0.88988633911811	0.555056830440945
131	0.389114890170909	0.778229780341819	0.610885109829091
132	0.524135446174477	0.951729107651047	0.475864553825523
133	0.475524845733831	0.951049691467661	0.524475154266169
134	0.446309731394092	0.892619462788184	0.553690268605908
135	0.422699614031334	0.845399228062668	0.577300385968666
136	0.409772698796282	0.819545397592563	0.590227301203718
137	0.40192277577738	0.80384555155476	0.59807722422262
138	0.347106282227297	0.694212564454593	0.652893717772703
139	0.381021233098573	0.762042466197146	0.618978766901427
140	0.330490870168415	0.66098174033683	0.669509129831585
141	0.271879669789715	0.543759339579429	0.728120330210285
142	0.228386348649465	0.45677269729893	0.771613651350535
143	0.259100868905332	0.518201737810665	0.740899131094668
144	0.204535503002915	0.409071006005831	0.795464496997085
145	0.209432881693859	0.418865763387719	0.79056711830614
146	0.200610983433491	0.401221966866982	0.799389016566509
147	0.199569362609872	0.399138725219744	0.800430637390128
148	0.162519887274473	0.325039774548946	0.837480112725527
149	0.118848766169374	0.237697532338748	0.881151233830626
150	0.293406323234508	0.586812646469017	0.706593676765492
151	0.313108790312441	0.626217580624882	0.686891209687559
152	0.232779717402770	0.465559434805539	0.76722028259723
153	0.165289204119251	0.330578408238502	0.834710795880749
154	0.119080219176281	0.238160438352561	0.88091978082372
155	0.296651740413946	0.593303480827891	0.703348259586054
156	0.202997089707311	0.405994179414621	0.79700291029269
157	0.125220425926081	0.250440851852161	0.87477957407392

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