Multiple Linear Regression - Estimated Regression Equation

year[t] = + 1967.10365283744 -0.125902148332274month[t] + 0.0210291378753831robberies[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)	1967.10365283744	0.22656	8682.4754	0	0
month	-0.125902148332274	0.026629	-4.728	6e-06	3e-06
robberies	0.0210291378753831	0.000714	29.4572	0	0

Multiple Linear Regression - Regression Statistics
Multiple R	0.939769286485165
R-squared	0.883166311820837
Adjusted R-squared	0.881134421591634
F-TEST (value)	434.652570856312
F-TEST (DF numerator)	2
F-TEST (DF denominator)	115
p-value	0
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation	0.981805734481531
Sum Squared Residuals	110.853387529994

Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or Index	Actuals	Interpolation Forecast	Residuals Prediction Error
1	1966	1967.839945342	-1.83994534200346
2	1966	1967.67198491792	-1.67198491791526
3	1966	1967.77740328621	-1.7774032862122
4	1966	1967.44120975913	-1.44120975912609
5	1966	1967.37839502442	-1.37839502441997
6	1966	1967.14734718671	-1.14734718671078
7	1966	1967.14761986563	-1.1476198656308
8	1966	1966.83245547642	-0.832455476420079
9	1966	1966.79066987959	-0.790669879589338
10	1966	1966.58065117976	-0.580651179755531
11	1966	1966.32857420417	-0.32857420417096
12	1966	1966.62325481335	-0.623254813346346
13	1967	1968.02920758288	-1.02920758287674
14	1967	1968.09256767542	-1.09256767542292
15	1967	1968.05078207859	-1.05078207859217
16	1967	1967.27297665612	-0.272976656123026
17	1967	1967.29427847292	-0.294278472918433
18	1967	1967.33660942759	-0.336609427589224
19	1967	1967.33688210651	-0.336882106509248
20	1967	1967.3581839233	-0.358183923304655
21	1967	1967.16919436135	-0.169194361346232
22	1967	1966.93814652364	0.0618534763629574
23	1967	1967.19076885706	-0.190768857061664
24	1967	1967.48544946624	-0.485449466237051
25	1968	1968.53390689189	-0.533906891885936
26	1968	1968.15565508905	-0.155655089049065
27	1968	1967.88254897559	0.11745102441089
28	1968	1968.36649182564	-0.366491825642944
29	1968	1968.45088105606	-0.450881056064501
30	1968	1967.82027959872	0.179720401276966
31	1968	1968.49348468966	-0.493484689655316
32	1968	1969.01948581546	-1.01948581545992
33	1968	1968.4940300475	-0.494030047495364
34	1968	1967.88445772803	0.11554227197072
35	1968	1968.36840057808	-0.368400578083114
36	1968	1968.72616860088	-0.726168600884651
37	1969	1970.30035447342	-1.30035447341811
38	1969	1969.45946163732	-0.459461637322815
39	1969	1969.670025695	-0.67002569499667
40	1969	1968.89222027253	0.107779727472479
41	1969	1968.87146381357	0.128536186427838
42	1969	1967.96748356385	1.03251643614928
43	1969	1968.74583434416	0.254165655840088
44	1969	1968.89331098821	0.106689011792382
45	1969	1968.28373866874	0.716261331258466
46	1969	1967.77931203865	1.22068796134764
47	1969	1967.7585555797	1.24144442030299
48	1969	1967.23309981173	1.76690018826755
49	1970	1969.05963533877	0.940364661229488
50	1970	1969.10196629344	0.898033706558697
51	1970	1969.08120983449	0.918790165514056
52	1970	1968.4926666529	1.50733334710476
53	1970	1968.53499760757	1.46500239243397
54	1970	1968.97688218187	1.0231178181309
55	1970	1969.4818541698	0.518145830201681
56	1970	1970.0919718471	-0.0919718471044521
57	1970	1970.93341004104	-0.933410041039798
58	1970	1969.81913841256	0.180861587435479
59	1970	1969.3777991961	0.622200803898499
60	1970	1969.33601359927	0.663986400729241
61	1971	1969.83771344016	1.16228655984031
62	1971	1970.23753973871	0.762460261288012
63	1971	1970.32192896913	0.678071030866456
64	1971	1969.73338578754	1.26661421245716
65	1971	1970.34350346485	0.656496535151024
66	1971	1969.60775631813	1.39224368186941
67	1971	1972.02637985272	-1.02637985271967
68	1971	1970.80696253487	0.193037465132524
69	1971	1970.44973986991	0.550260130094012
70	1971	1971.71176082135	-0.711760821348996
71	1971	1971.35453815639	-0.354538156387508
72	1971	1971.62818962769	-0.628189627687512
73	1972	1971.98268550345	0.0173144965512435
74	1972	1971.33105490823	0.668945091768093
75	1972	1972.13043482642	-0.130434826416487
76	1972	1972.7615816416	-0.761581641598003
77	1972	1970.93231932536	1.0676806746403
78	1972	1971.52140786479	0.478592135209549
79	1972	1973.64562346912	-1.64562346912416
80	1972	1973.22531339054	-1.22531339053653
81	1972	1972.44750796807	-0.447507968067379
82	1972	1971.03882840934	0.961171590663262
83	1972	1971.12321763976	0.876782360241705
84	1972	1972.36420945333	-0.364209453325919
85	1973	1973.24443377597	-0.24443377597174
86	1973	1972.59280318075	0.40719681924511
87	1973	1973.28703740956	-0.287037409562555
88	1973	1971.83629957508	1.16370042491885
89	1973	1972.48847552814	0.511524471861953
90	1973	1972.21536941468	0.784630585321908
91	1973	1972.72034140261	0.27965859739269
92	1973	1974.52911993881	-1.52911993881028
93	1973	1972.46853710594	0.531462894057238
94	1973	1972.74218857724	0.257811422757234
95	1973	1973.14201487579	-0.142014875795068
96	1973	1973.03714186534	-0.0371418653381769
97	1974	1973.85427877436	0.145721225642151
98	1974	1973.6652892124	0.334710787600574
99	1974	1972.71925068693	1.28074931307279
100	1974	1971.71012474783	2.28987525217115
101	1974	1971.54216432375	2.45783567625419
102	1974	1972.38360251768	1.61639748231884
103	1974	1973.68768174487	0.31231825512507
104	1974	1975.76983907346	-1.76983907345788
105	1974	1973.62513968909	0.37486031091117
106	1974	1976.08582149943	-2.08582149942867
107	1974	1975.22389952546	-1.22389952545799
108	1974	1973.81521996673	0.18478003327265
109	1975	1977.4923196268	-2.49231962679912
110	1975	1976.33598972257	-1.33598972257307
111	1975	1974.61187309571	0.388126904288312
112	1975	1974.42288353375	0.577116466246735
113	1975	1972.82494173414	2.17505826585582
114	1975	1972.99344751607	2.00655248393273
115	1975	1974.59193467352	0.408065326483598
116	1975	1974.38191597368	0.618084026317404
117	1975	1975.03409192674	-0.0340919267394948
118	1975	1974.90818977841	0.0918102215927801

Goldfeld-Quandt test for Heteroskedasticity
p-values	Alternative Hypothesis
breakpoint index	greater	2-sided	less
6	3.64720047330966e-39	7.29440094661932e-39	1
7	3.58906407244503e-56	7.17812814489006e-56	1
8	3.52826565266546e-63	7.05653130533092e-63	1
9	8.90797518222781e-78	1.78159503644556e-77	1
10	6.98523522154154e-91	1.39704704430831e-90	1
11	2.71577648095989e-108	5.43155296191977e-108	1
12	2.92123671309534e-112	5.84247342619067e-112	1
13	8.32683578043886e-05	0.000166536715608777	0.999916731642196
14	8.82483957169387e-05	0.000176496791433877	0.999911751604283
15	3.70938237516678e-05	7.41876475033356e-05	0.999962906176248
16	0.000760275173300971	0.00152055034660194	0.999239724826699
17	0.00146758397273992	0.00293516794547985	0.99853241602726
18	0.00166149588809394	0.00332299177618787	0.998338504111906
19	0.0013530096388692	0.0027060192777384	0.998646990361131
20	0.000792730336110777	0.00158546067222155	0.999207269663889
21	0.000465732512954506	0.000931465025909013	0.999534267487046
22	0.000307515046277329	0.000615030092554657	0.999692484953723
23	0.000152428422200795	0.000304856844401589	0.999847571577799
24	0.000129680684479849	0.000259361368959698	0.99987031931552
25	0.000174366292944985	0.000348732585889971	0.999825633707055
26	0.000364648958121679	0.000729297916243357	0.999635351041878
27	0.000977586489015544	0.00195517297803109	0.999022413510984
28	0.000622099215836095	0.00124419843167219	0.999377900784164
29	0.00040202324944778	0.00080404649889556	0.999597976750552
30	0.000429445110836269	0.000858890221672539	0.999570554889164
31	0.000368090780268503	0.000736181560537006	0.999631909219732
32	0.000974742235504515	0.00194948447100903	0.999025257764495
33	0.000712957675578747	0.00142591535115749	0.999287042324421
34	0.000533931650037082	0.00106786330007416	0.999466068349963
35	0.000388366174830141	0.000776732349660283	0.99961163382517
36	0.000485602051864326	0.000971204103728651	0.999514397948136
37	0.000713042075710928	0.00142608415142186	0.999286957924289
38	0.000777985405887616	0.00155597081177523	0.999222014594112
39	0.000797648708913302	0.0015952974178266	0.999202351291087
40	0.00129239493184212	0.00258478986368424	0.998707605068158
41	0.00172124434683561	0.00344248869367122	0.998278755653164
42	0.0103080084689012	0.0206160169378024	0.989691991531099
43	0.0106705210595978	0.0213410421191956	0.989329478940402
44	0.00943802500967994	0.0188760500193599	0.99056197499032
45	0.0122163675342902	0.0244327350685804	0.98778363246571
46	0.025853995356068	0.051707990712136	0.974146004643932
47	0.0389814866830316	0.0779629733660632	0.961018513316968
48	0.0859672053153787	0.171934410630757	0.914032794684621
49	0.157498596975399	0.314997193950798	0.842501403024601
50	0.206781042039587	0.413562084079174	0.793218957960413
51	0.237810457182079	0.475620914364157	0.762189542817921
52	0.343180235600433	0.686360471200867	0.656819764399567
53	0.413269898406894	0.826539796813788	0.586730101593106
54	0.398642471604278	0.797284943208556	0.601357528395722
55	0.357196673238069	0.714393346476139	0.642803326761931
56	0.360453106443523	0.720906212887045	0.639546893556477
57	0.503659489817096	0.992681020365808	0.496340510182904
58	0.471846074316465	0.943692148632931	0.528153925683535
59	0.427878550696221	0.855757101392442	0.572121449303779
60	0.382967009604083	0.765934019208166	0.617032990395917
61	0.404552098346148	0.809104196692295	0.595447901653853
62	0.383991430569318	0.767982861138636	0.616008569430682
63	0.356572524103423	0.713145048206846	0.643427475896577
64	0.351621797862077	0.703243595724153	0.648378202137923
65	0.317214682648936	0.634429365297873	0.682785317351064
66	0.30771040964367	0.615420819287339	0.69228959035633
67	0.469708533119391	0.939417066238782	0.530291466880609
68	0.445758400212267	0.891516800424534	0.554241599787733
69	0.406394109849869	0.812788219699737	0.593605890150131
70	0.484455093476464	0.968910186952927	0.515544906523536
71	0.509550097056178	0.980899805887644	0.490449902943822
72	0.573121504905698	0.853756990188605	0.426878495094302
73	0.568495733502645	0.86300853299471	0.431504266497355
74	0.549561924698182	0.900876150603637	0.450438075301819
75	0.564575357926874	0.870849284146251	0.435424642073126
76	0.646118009840884	0.707763980318232	0.353881990159116
77	0.637684266936316	0.724631466127369	0.362315733063684
78	0.626628151676082	0.746743696647837	0.373371848323918
79	0.805583905287761	0.388832189424478	0.194416094712239
80	0.884648784536184	0.230702430927632	0.115351215463816
81	0.905169898530794	0.189660202938413	0.0948301014692065
82	0.90039804576344	0.19920390847312	0.0996019542365602
83	0.895883059993201	0.208233880013598	0.104116940006799
84	0.921504530882704	0.156990938234592	0.0784954691172958
85	0.931218004151679	0.137563991696643	0.0687819958483215
86	0.934424812086069	0.131150375827862	0.0655751879139308
87	0.950061098778198	0.0998778024436039	0.049938901221802
88	0.952602924284181	0.0947941514316371	0.0473970757158186
89	0.956457666294576	0.0870846674108478	0.0435423337054239
90	0.958383969860512	0.0832320602789765	0.0416160301394882
91	0.962422253728479	0.0751554925430425	0.0375777462715212
92	0.985206911642197	0.0295861767156066	0.0147930883578033
93	0.985859939278352	0.0282801214432963	0.0141400607216481
94	0.98758821598567	0.0248235680286605	0.0124117840143302
95	0.991497609888609	0.0170047802227821	0.00850239011139106
96	0.995984554163509	0.00803089167298204	0.00401544583649102
97	0.995644070001626	0.0087118599967477	0.00435592999837385
98	0.995662039037945	0.00867592192411038	0.00433796096205519
99	0.995657040891901	0.0086859182161981	0.00434295910809905
100	0.996288079043263	0.00742384191347339	0.00371192095673669
101	0.997321682523783	0.00535663495243385	0.00267831747621693
102	0.998399982278576	0.00320003544284892	0.00160001772142446
103	0.999034142996767	0.00193171400646674	0.000965857003233371
104	0.999100768557726	0.00179846288454713	0.000899231442273564
105	0.999416247549957	0.00116750490008573	0.000583752450042867
106	0.99930175895634	0.00139648208731905	0.000698241043659525
107	0.999502777722284	0.000994444555431747	0.000497222277715874
108	1	1.14804331201647e-95	5.74021656008233e-96
109	1	1.77637738632269e-78	8.88188693161344e-79
110	1	3.24024151081195e-64	1.62012075540597e-64
111	1	1.38622839575486e-59	6.9311419787743e-60
112	1	4.68236943622658e-38	2.34118471811329e-38

Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description	# significant tests	% significant tests	OK/NOK
1% type I error level	53	0.495327102803738	NOK
5% type I error level	61	0.570093457943925	NOK
10% type I error level	68	0.635514018691589	NOK