Multiple Linear Regression - Estimated Regression Equation

robberies[t] = + 210.888888888889 -18.7888888888889M1[t] -29.5888888888889M2[t] -28.8888888888889M3[t] -44.7888888888889M4[t] -49.5888888888889M5[t] -46.8888888888889M6[t] + 6.21111111111114M7[t] + 26.6111111111111M8[t] + 7.81111111111112M9[t] + 12.8111111111111M10[t] -7.99999999999998M11[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)	210.888888888889	43.986697	4.7944	5e-06	3e-06
M1	-18.7888888888889	60.631478	-0.3099	0.757256	0.378628
M2	-29.5888888888889	60.631478	-0.488	0.626549	0.313275
M3	-28.8888888888889	60.631478	-0.4765	0.634723	0.317361
M4	-44.7888888888889	60.631478	-0.7387	0.461718	0.230859
M5	-49.5888888888889	60.631478	-0.8179	0.415264	0.207632
M6	-46.8888888888889	60.631478	-0.7733	0.441041	0.22052
M7	6.21111111111114	60.631478	0.1024	0.918601	0.4593
M8	26.6111111111111	60.631478	0.4389	0.661628	0.330814
M9	7.81111111111112	60.631478	0.1288	0.897737	0.448868
M10	12.8111111111111	60.631478	0.2113	0.833063	0.416532
M11	-7.99999999999998	62.206584	-0.1286	0.897915	0.448957

Multiple Linear Regression - Regression Statistics
Multiple R	0.194284851062141
R-squared	0.0377466033522383
Adjusted R-squared	-0.0621098812055483
F-TEST (value)	0.378008534141761
F-TEST (DF numerator)	11
F-TEST (DF denominator)	106
p-value	0.962041750191452
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation	131.960091800863
Sum Squared Residuals	1845827.37777778

Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or Index	Actuals	Interpolation Forecast	Residuals Prediction Error
1	41	192.1	-151.1
2	39	181.3	-142.3
3	50	182	-132
4	40	166.1	-126.1
5	43	161.3	-118.3
6	38	164	-126
7	44	217.1	-173.1
8	35	237.5	-202.5
9	39	218.7	-179.7
10	35	223.7	-188.7
11	29	202.888888888889	-173.888888888889
12	49	210.888888888889	-161.888888888889
13	50	192.1	-142.1
14	59	181.3	-122.3
15	63	182	-119
16	32	166.1	-134.1
17	39	161.3	-122.3
18	47	164	-117
19	53	217.1	-164.1
20	60	237.5	-177.5
21	57	218.7	-161.7
22	52	223.7	-171.7
23	70	202.888888888889	-132.888888888889
24	90	210.888888888889	-120.888888888889
25	74	192.1	-118.1
26	62	181.3	-119.3
27	55	182	-127
28	84	166.1	-82.1
29	94	161.3	-67.3
30	70	164	-94
31	108	217.1	-109.1
32	139	237.5	-98.5
33	120	218.7	-98.7
34	97	223.7	-126.7
35	126	202.888888888889	-76.8888888888889
36	149	210.888888888889	-61.8888888888889
37	158	192.1	-34.1
38	124	181.3	-57.3
39	140	182	-42
40	109	166.1	-57.1
41	114	161.3	-47.3
42	77	164	-87
43	120	217.1	-97.1
44	133	237.5	-104.5
45	110	218.7	-108.7
46	92	223.7	-131.7
47	97	202.888888888889	-105.888888888889
48	78	210.888888888889	-132.888888888889
49	99	192.1	-93.1
50	107	181.3	-74.3
51	112	182	-70
52	90	166.1	-76.1
53	98	161.3	-63.3
54	125	164	-39
55	155	217.1	-62.1
56	190	237.5	-47.5
57	236	218.7	17.3
58	189	223.7	-34.7
59	174	202.888888888889	-28.8888888888889
60	178	210.888888888889	-32.8888888888889
61	136	192.1	-56.1
62	161	181.3	-20.3
63	171	182	-11
64	149	166.1	-17.1
65	184	161.3	22.7
66	155	164	-8.99999999999997
67	276	217.1	58.9
68	224	237.5	-13.5
69	213	218.7	-5.69999999999997
70	279	223.7	55.3
71	268	202.888888888889	65.1111111111111
72	287	210.888888888889	76.1111111111111
73	238	192.1	45.9000000000001
74	213	181.3	31.7
75	257	182	75
76	293	166.1	126.9
77	212	161.3	50.7
78	246	164	82
79	353	217.1	135.9
80	339	237.5	101.5
81	308	218.7	89.3
82	247	223.7	23.3
83	257	202.888888888889	54.1111111111111
84	322	210.888888888889	111.111111111111
85	298	192.1	105.9
86	273	181.3	91.7
87	312	182	130
88	249	166.1	82.9
89	286	161.3	124.7
90	279	164	115
91	309	217.1	91.9
92	401	237.5	163.5
93	309	218.7	90.3
94	328	223.7	104.3
95	353	202.888888888889	150.111111111111
96	354	210.888888888889	143.111111111111
97	327	192.1	134.9
98	324	181.3	142.7
99	285	182	103
100	243	166.1	76.9
101	241	161.3	79.7
102	287	164	123
103	355	217.1	137.9
104	460	237.5	222.5
105	364	218.7	145.3
106	487	223.7	263.3
107	452	202.888888888889	249.111111111111
108	391	210.888888888889	180.111111111111
109	500	192.1	307.9
110	451	181.3	269.7
111	375	182	193
112	372	166.1	205.9
113	302	161.3	140.7
114	316	164	152
115	398	217.1	180.9
116	394	237.5	156.5
117	431	218.7	212.3
118	431	223.7	207.3

Goldfeld-Quandt test for Heteroskedasticity
p-values	Alternative Hypothesis
breakpoint index	greater	2-sided	less
15	0.000784263213970067	0.00156852642794013	0.99921573678603
16	6.53353176146948e-05	0.00013067063522939	0.999934664682385
17	4.5509154699391e-06	9.10183093987821e-06	0.99999544908453
18	3.85022377068844e-07	7.70044754137687e-07	0.999999614977623
19	3.44410631033663e-08	6.88821262067325e-08	0.999999965558937
20	1.89297073594603e-08	3.78594147189207e-08	0.999999981070293
21	3.70064447015035e-09	7.40128894030069e-09	0.999999996299356
22	6.89152264609263e-10	1.37830452921853e-09	0.999999999310848
23	1.47520065357976e-09	2.95040130715952e-09	0.999999998524799
24	1.47174506919379e-09	2.94349013838757e-09	0.999999998528255
25	6.41623338409731e-10	1.28324667681946e-09	0.999999999358377
26	1.19704287345512e-10	2.39408574691025e-10	0.999999999880296
27	1.81202349854204e-11	3.62404699708409e-11	0.99999999998188
28	4.55960604230892e-11	9.11921208461784e-11	0.999999999954404
29	1.00731705747779e-10	2.01463411495559e-10	0.999999999899268
30	3.52405365226052e-11	7.04810730452104e-11	0.999999999964759
31	9.43129824366731e-11	1.88625964873346e-10	0.999999999905687
32	1.65075609471195e-09	3.30151218942389e-09	0.999999998349244
33	3.4730845445164e-09	6.9461690890328e-09	0.999999996526915
34	3.29541070269235e-09	6.5908214053847e-09	0.999999996704589
35	6.30684896324202e-09	1.2613697926484e-08	0.999999993693151
36	1.10563964735157e-08	2.21127929470313e-08	0.999999988943604
37	5.34101377117397e-08	1.06820275423479e-07	0.999999946589862
38	6.14526206202255e-08	1.22905241240451e-07	0.999999938547379
39	9.61738084162731e-08	1.92347616832546e-07	0.999999903826192
40	7.32935179346717e-08	1.46587035869343e-07	0.999999926706482
41	5.16699696493706e-08	1.03339939298741e-07	0.99999994833003
42	2.80993183337567e-08	5.61986366675134e-08	0.999999971900682
43	2.60015600883378e-08	5.20031201766756e-08	0.99999997399844
44	2.88208867027904e-08	5.76417734055809e-08	0.999999971179113
45	2.51600365448025e-08	5.03200730896049e-08	0.999999974839964
46	2.74631657295003e-08	5.49263314590006e-08	0.999999972536834
47	2.32011872696053e-08	4.64023745392106e-08	0.999999976798813
48	2.50230948777581e-08	5.00461897555162e-08	0.999999974976905
49	2.34634138241249e-08	4.69268276482497e-08	0.999999976536586
50	2.35366752730606e-08	4.70733505461211e-08	0.999999976463325
51	2.2784653953727e-08	4.55693079074539e-08	0.999999977215346
52	2.09232469582804e-08	4.18464939165607e-08	0.999999979076753
53	1.67772238092416e-08	3.35544476184831e-08	0.999999983222776
54	2.64238416558992e-08	5.28476833117984e-08	0.999999973576158
55	7.95314108648735e-08	1.59062821729747e-07	0.999999920468589
56	4.32713415008382e-07	8.65426830016764e-07	0.999999567286585
57	6.41017814743909e-06	1.28203562948782e-05	0.999993589821853
58	3.37942490724089e-05	6.75884981448177e-05	0.999966205750928
59	8.35784239031365e-05	0.000167156847806273	0.999916421576097
60	0.000185381833318745	0.00037076366663749	0.999814618166681
61	0.000471323311888708	0.000942646623777415	0.999528676688111
62	0.000996955773881464	0.00199391154776293	0.999003044226119
63	0.00186541292820782	0.00373082585641563	0.998134587071792
64	0.00325895285385107	0.00651790570770213	0.996741047146149
65	0.00486756797289739	0.00973513594579479	0.995132432027103
66	0.00774165873812172	0.0154833174762434	0.992258341261878
67	0.0255115428842266	0.0510230857684533	0.974488457115773
68	0.0639411495359028	0.127882299071806	0.936058850464097
69	0.105078885738556	0.210157771477112	0.894921114261444
70	0.206438062139145	0.41287612427829	0.793561937860855
71	0.296208827143944	0.592417654287888	0.703791172856056
72	0.385886728162308	0.771773456324615	0.614113271837692
73	0.51628699104817	0.967426017903659	0.48371300895183
74	0.624199743004046	0.751600513991909	0.375800256995954
75	0.672580251161486	0.654839497677027	0.327419748838514
76	0.73294939220475	0.534101215590501	0.26705060779525
77	0.734043875058083	0.531912249883833	0.265956124941917
78	0.74921058848569	0.50157882302862	0.25078941151431
79	0.793012810589696	0.413974378820607	0.206987189410304
80	0.83803064920206	0.323938701595879	0.16196935079794
81	0.848980557461994	0.302038885076012	0.151019442538006
82	0.923446389696569	0.153107220606862	0.0765536103034311
83	0.955116587024296	0.0897668259514083	0.0448834129757042
84	0.954898476944296	0.0902030461114089	0.0451015230557044
85	0.970591530252453	0.0588169394950945	0.0294084697475473
86	0.980170348436559	0.0396593031268811	0.0198296515634405
87	0.976225459219595	0.0475490815608102	0.0237745407804051
88	0.971619262185365	0.0567614756292691	0.0283807378146346
89	0.963130482942812	0.0737390341143755	0.0368695170571878
90	0.95201623374066	0.0959675325186797	0.0479837662593399
91	0.945015764426325	0.10996847114735	0.0549842355736748
92	0.936328077956994	0.127343844086013	0.0636719220430064
93	0.934010611622646	0.131978776754708	0.065989388377354
94	0.957166907627129	0.0856661847457421	0.042833092372871
95	0.957346310449465	0.0853073791010692	0.0426536895505346
96	0.937977970549926	0.124044058900147	0.0620220294500735
97	0.97394442529174	0.05211114941652	0.02605557470826
98	0.982768969641225	0.0344620607175494	0.0172310303587747
99	0.980117315331704	0.0397653693365914	0.0198826846682957
100	0.991568890292388	0.0168622194152245	0.00843110970761225
101	0.985570576326513	0.0288588473469748	0.0144294236734874
102	0.962640521860536	0.074718956278929	0.0373594781394645
103	0.916161650153269	0.167676699693462	0.0838383498467312

Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description	# significant tests	% significant tests	OK/NOK
1% type I error level	51	0.573033707865168	NOK
5% type I error level	58	0.651685393258427	NOK
10% type I error level	69	0.775280898876405	NOK