Multiple Linear Regression - Estimated Regression Equation

CM[t] = -1.97558860391637 -0.584520417545623Gender[t] + 0.825198555334064D[t] + 0.240632907570932PE[t] + 0.182865509202120PC[t] + 0.556669097802935PS[t] -0.0951728207275587O[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)	-1.97558860391637	3.057456	-0.6462	0.519154	0.259577
Gender	-0.584520417545623	0.791394	-0.7386	0.461292	0.230646
D	0.825198555334064	0.132115	6.2461	0	0
PE	0.240632907570932	0.133733	1.7994	0.073946	0.036973
PC	0.182865509202120	0.168683	1.0841	0.280046	0.140023
PS	0.556669097802935	0.096795	5.751	0	0
O	-0.0951728207275587	0.106862	-0.8906	0.374541	0.187271

Multiple Linear Regression - Regression Statistics
Multiple R	0.639761924721091
R-squared	0.409295320322835
Adjusted R-squared	0.385978030335578
F-TEST (value)	17.5532971690331
F-TEST (DF numerator)	6
F-TEST (DF denominator)	152
p-value	2.22044604925031e-15
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation	4.48437540723029
Sum Squared Residuals	3056.66266453172

Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or Index	Actuals	Interpolation Forecast	Residuals Prediction Error
1	25	21.9767024997114	3.02329750028864
2	17	22.8500386463099	-5.85003864630991
3	18	19.5978208702674	-1.59782087026737
4	16	19.9307587552557	-3.93075875525567
5	20	21.1922278963974	-1.19222789639742
6	16	22.5648381034507	-6.5648381034507
7	18	22.7648143433383	-4.76481434333829
8	17	20.8206124032680	-3.82061240326797
9	30	22.4691777584082	7.53082224159177
10	23	15.3578513250953	7.64214867490467
11	18	19.2751604633523	-1.27516046335227
12	21	19.6059478821611	1.39405211783892
13	31	26.5794040356060	4.42059596439397
14	27	25.4999013063827	1.50009869361730
15	21	19.7753943426879	1.22460565731214
16	16	20.4005245871453	-4.40052458714531
17	20	21.7904648104789	-1.79046481047888
18	17	19.7343645226558	-2.73436452265577
19	25	30.6740776103543	-5.67407761035427
20	26	26.7776084502348	-0.777608450234776
21	25	24.2277439055271	0.772256094472872
22	17	23.1058456154098	-6.10584561540978
23	32	27.9455051892705	4.05449481072949
24	22	22.1936012512419	-0.193601251241868
25	17	21.9434050295753	-4.94340502957525
26	20	22.5106030317662	-2.51060303176620
27	29	22.3546684822319	6.64533151776805
28	23	26.8661073736759	-3.86610737367586
29	20	19.0954588895795	0.904541110420521
30	11	11.9781335457252	-0.978133545725176
31	26	23.7025581260659	2.29744187393415
32	22	22.5306462971246	-0.530646297124649
33	14	21.2641438357338	-7.26414383573383
34	19	23.2709326973991	-4.27093269739909
35	20	22.7488884885400	-2.74888848853996
36	28	17.8332331940746	10.1667668059254
37	19	18.3980293037712	0.601970696228773
38	30	23.262053892236	6.73794610776401
39	29	27.3597170363284	1.64028296367165
40	26	21.6952919897513	4.30470801024868
41	23	19.7616686346724	3.23833136532761
42	21	22.9040168031077	-1.90401680310770
43	28	23.1499417474603	4.85005825253974
44	23	25.8811353466331	-2.88113534663314
45	18	14.0743701087186	3.9256298912814
46	20	21.9373611995242	-1.93736119952423
47	21	22.0269353241300	-1.02693532413003
48	28	27.2733012947300	0.726698705270044
49	10	13.4652256493285	-3.46522564932849
50	22	21.3263473553144	0.673652644685626
51	31	28.8629919096167	2.13700809038331
52	29	24.9691928807116	4.03080711928841
53	22	19.0793089880926	2.92069101190743
54	23	22.5193056691982	0.480694330801768
55	20	21.4624955543769	-1.46249555437688
56	18	19.6603975421967	-1.66039754219667
57	25	21.1742630517879	3.8257369482121
58	21	16.7144932869646	4.28550671303536
59	24	19.5572018318759	4.44279816812408
60	25	25.4462963019337	-0.446296301933674
61	13	14.7787370694396	-1.77873706943965
62	28	18.4064085333079	9.59359146669207
63	25	28.0091946916564	-3.00919469165641
64	9	20.8666155494301	-11.8666155494301
65	16	18.0744585395891	-2.07445853958909
66	19	21.1135941852984	-2.11359418529838
67	29	21.8970823814334	7.10291761856663
68	14	19.2098584910333	-5.20985849103332
69	22	27.0660163292267	-5.06601632922667
70	15	15.9210517772642	-0.921051777264193
71	15	17.7263634054771	-2.72636340547711
72	20	22.0970465700095	-2.09704657000947
73	18	20.5066049531815	-2.50660495318152
74	33	25.7811532523451	7.21884674765491
75	22	23.8882914785782	-1.88829147857816
76	16	16.7097936881266	-0.709793688126585
77	16	15.354226927422	0.645773072578004
78	18	21.4100370051950	-3.41003700519496
79	18	23.153615825737	-5.15361582573698
80	22	24.8359669666564	-2.83596696665641
81	30	24.8596466809997	5.14035331900031
82	30	27.4145445459564	2.58545545404359
83	24	29.7480139830914	-5.74801398309136
84	21	25.5638598388168	-4.56385983881685
85	29	27.7176612631395	1.28233873686053
86	31	23.2961912568649	7.7038087431351
87	20	19.1648135810958	0.835186418904233
88	16	14.3140271763316	1.68597282366844
89	22	19.0534411782779	2.94655882172207
90	20	20.4731473363914	-0.473147336391438
91	28	27.6165495259896	0.383450474010433
92	38	26.8183371633487	11.1816628366513
93	22	19.3518911648210	2.64810883517896
94	20	25.7481072085238	-5.74810720852381
95	17	18.2547028707021	-1.25470287070208
96	22	24.3430594166699	-2.34305941666993
97	31	26.285379920609	4.71462007939099
98	24	24.7195838552745	-0.719583855274521
99	18	19.5992647733950	-1.59926477339498
100	23	22.0232841750937	0.976715824906306
101	15	21.3365483375711	-6.33654833757115
102	12	17.4468675105543	-5.44686751055433
103	15	14.8026589986181	0.197341001381876
104	20	19.3748698685344	0.625130131465627
105	34	26.7725754406936	7.2274245593064
106	31	20.6929927862602	10.3070072137398
107	19	19.095504119797	-0.0955041197969886
108	21	17.9332605185801	3.06673948141986
109	22	21.5336775510352	0.466322448964825
110	24	20.1114813992039	3.88851860079606
111	32	27.5748675846027	4.42513241539726
112	33	23.2728969930397	9.72710300696028
113	13	21.8145629073884	-8.81456290738843
114	25	25.4643560573641	-0.464356057364075
115	29	26.7709301025624	2.22906989743756
116	18	16.9397236359322	1.06027636406781
117	20	21.8455513473474	-1.84555134734740
118	15	20.2062211373137	-5.20622113731373
119	33	27.7848234087985	5.21517659120147
120	26	23.0969359905523	2.90306400944772
121	18	18.6231002974130	-0.623100297412962
122	28	28.2705959064922	-0.270595906492178
123	17	19.7737894736804	-2.77378947368044
124	12	15.2140544269744	-3.21405442697439
125	17	20.3808002792963	-3.38080027929633
126	21	20.9932080353225	0.00679196467747714
127	18	22.8142356910764	-4.81423569107642
128	10	17.6409040426914	-7.64090404269142
129	29	23.9986562114259	5.00134378857407
130	31	18.1139379323109	12.8860620676891
131	19	22.4892662539842	-3.48926625398418
132	9	19.8683866688697	-10.8683866688697
133	13	22.5288221425224	-9.52882214252242
134	19	21.2549042402414	-2.25490424024137
135	21	20.4163363168353	0.583663683164666
136	23	19.8391082584047	3.16089174159535
137	21	20.4964944313598	0.503505568640237
138	15	22.6646684433386	-7.66466844333857
139	19	17.3242754145158	1.67572458548416
140	26	21.0036824980134	4.99631750198659
141	16	16.8714985872778	-0.871498587277751
142	19	18.4626799460636	0.537320053936405
143	31	24.9684486883678	6.03155131163216
144	19	17.0557459569847	1.94425404301529
145	15	15.7791524349174	-0.779152434917398
146	23	21.8416579834759	1.15834201652414
147	17	19.3288659310441	-2.32886593104411
148	21	19.6752981232915	1.32470187670850
149	17	19.1050626727989	-2.10506267279891
150	25	24.2105264038011	0.789473596198866
151	20	15.1730519865685	4.82694801343146
152	19	25.3463762502684	-6.34637625026839
153	20	21.5718347666633	-1.57183476666331
154	17	18.7568634163864	-1.75686341638642
155	21	16.7601261844599	4.23987381554009
156	26	27.1883799281907	-1.18837992819071
157	17	17.9807672512810	-0.980767251281018
158	21	21.8225305639563	-0.822530563956327
159	28	24.1784674599212	3.82153254007884

Goldfeld-Quandt test for Heteroskedasticity
p-values	Alternative Hypothesis
breakpoint index	greater	2-sided	less
10	0.916865412283638	0.166269175432723	0.0831345877163616
11	0.923819281273692	0.152361437452615	0.0761807187263076
12	0.86696345560563	0.266073088788741	0.133036544394370
13	0.882994334228045	0.234011331543909	0.117005665771955
14	0.835429749502	0.329140500995999	0.164570250498000
15	0.776613219837136	0.446773560325729	0.223386780162864
16	0.735292586829922	0.529414826340155	0.264707413170078
17	0.660466739586066	0.679066520827868	0.339533260413934
18	0.578034704602716	0.843930590794568	0.421965295397284
19	0.558739042937225	0.88252191412555	0.441260957062775
20	0.47787448801398	0.95574897602796	0.52212551198602
21	0.468381891160474	0.936763782320948	0.531618108839526
22	0.489505315835564	0.979010631671127	0.510494684164436
23	0.541398066095625	0.91720386780875	0.458601933904375
24	0.469634806118568	0.939269612237136	0.530365193881432
25	0.427957680529828	0.855915361059656	0.572042319470172
26	0.363098475400166	0.726196950800332	0.636901524599834
27	0.484124496146307	0.968248992292614	0.515875503853693
28	0.433843716465696	0.867687432931392	0.566156283534304
29	0.401474964858175	0.80294992971635	0.598525035141825
30	0.368735458706193	0.737470917412385	0.631264541293807
31	0.356054323384974	0.712108646769949	0.643945676615026
32	0.298983460308220	0.597966920616439	0.70101653969178
33	0.365342992686561	0.730685985373121	0.634657007313439
34	0.330439173820368	0.660878347640736	0.669560826179632
35	0.294151186100221	0.588302372200443	0.705848813899779
36	0.555570002036792	0.888859995926415	0.444429997963208
37	0.497182770415163	0.994365540830325	0.502817229584837
38	0.577528381033656	0.844943237932687	0.422471618966344
39	0.54903122869466	0.901937542610681	0.450968771305340
40	0.564359338843561	0.871281322312878	0.435640661156439
41	0.534686596108021	0.930626807783958	0.465313403891979
42	0.485954873515682	0.971909747031365	0.514045126484318
43	0.511615745988337	0.976768508023325	0.488384254011663
44	0.472236970597281	0.944473941194563	0.527763029402719
45	0.441404607471685	0.88280921494337	0.558595392528315
46	0.4053380788824	0.8106761577648	0.5946619211176
47	0.356139540149527	0.712279080299054	0.643860459850473
48	0.308217862193063	0.616435724386127	0.691782137806937
49	0.312299654509936	0.624599309019872	0.687700345490064
50	0.270914747584070	0.541829495168139	0.72908525241593
51	0.237577439677334	0.475154879354669	0.762422560322666
52	0.228819613553470	0.457639227106941	0.77118038644653
53	0.204134648833000	0.408269297666000	0.795865351167
54	0.169833316336179	0.339666632672359	0.83016668366382
55	0.147042097747925	0.294084195495851	0.852957902252075
56	0.127003085250397	0.254006170500795	0.872996914749603
57	0.125038357112197	0.250076714224394	0.874961642887803
58	0.116151857702009	0.232303715404018	0.883848142297991
59	0.106920825331619	0.213841650663238	0.89307917466838
60	0.0858517106149708	0.171703421229942	0.91414828938503
61	0.0725398186680013	0.145079637336003	0.927460181331999
62	0.144173466565904	0.288346933131808	0.855826533434096
63	0.13645846681602	0.27291693363204	0.86354153318398
64	0.347007211374299	0.694014422748598	0.652992788625701
65	0.31400234264971	0.62800468529942	0.68599765735029
66	0.286279203769625	0.572558407539251	0.713720796230375
67	0.378524880368781	0.757049760737562	0.621475119631219
68	0.400206799531263	0.800413599062525	0.599793200468737
69	0.408043088416295	0.81608617683259	0.591956911583705
70	0.364149782074936	0.728299564149872	0.635850217925064
71	0.336658290783443	0.673316581566887	0.663341709216557
72	0.303254106661520	0.606508213323041	0.69674589333848
73	0.278362229696094	0.556724459392188	0.721637770303906
74	0.347594491656763	0.695188983313526	0.652405508343237
75	0.313094361740644	0.626188723481287	0.686905638259356
76	0.274821819217423	0.549643638434846	0.725178180782577
77	0.237115342424741	0.474230684849482	0.762884657575259
78	0.223577971318985	0.447155942637969	0.776422028681016
79	0.237658798025799	0.475317596051598	0.762341201974201
80	0.218858830549254	0.437717661098508	0.781141169450746
81	0.227494527841219	0.454989055682439	0.77250547215878
82	0.203831697898577	0.407663395797154	0.796168302101423
83	0.237831217654596	0.475662435309192	0.762168782345404
84	0.251318054119413	0.502636108238827	0.748681945880587
85	0.217917578341276	0.435835156682552	0.782082421658724
86	0.271201937730116	0.542403875460232	0.728798062269884
87	0.233972948299980	0.467945896599961	0.76602705170002
88	0.201879417070249	0.403758834140498	0.798120582929751
89	0.180102488733972	0.360204977467943	0.819897511266028
90	0.152433222793873	0.304866445587747	0.847566777206127
91	0.127448165010070	0.254896330020140	0.87255183498993
92	0.300046921133984	0.600093842267968	0.699953078866016
93	0.275286198252167	0.550572396504333	0.724713801747833
94	0.297993884032354	0.595987768064708	0.702006115967646
95	0.260771438328869	0.521542876657737	0.739228561671131
96	0.244750645936698	0.489501291873396	0.755249354063302
97	0.227640178217521	0.455280356435042	0.772359821782479
98	0.196790951735935	0.39358190347187	0.803209048264065
99	0.168471224202114	0.336942448404228	0.831528775797886
100	0.140921905951150	0.281843811902299	0.85907809404885
101	0.168409862052628	0.336819724105256	0.831590137947372
102	0.157373873897125	0.31474774779425	0.842626126102875
103	0.135212777107084	0.270425554214168	0.864787222892916
104	0.113497630366606	0.226995260733212	0.886502369633394
105	0.154900645347182	0.309801290694364	0.845099354652818
106	0.310664365378879	0.621328730757758	0.689335634621121
107	0.269320963361609	0.538641926723218	0.730679036638391
108	0.248921233440605	0.49784246688121	0.751078766559395
109	0.210317575919245	0.420635151838489	0.789682424080755
110	0.198658051001164	0.397316102002329	0.801341948998836
111	0.187148630554629	0.374297261109259	0.81285136944537
112	0.292130727073060	0.584261454146119	0.70786927292694
113	0.418817577535921	0.837635155071842	0.581182422464079
114	0.36958345762303	0.73916691524606	0.63041654237697
115	0.345962430735081	0.691924861470162	0.654037569264919
116	0.298488332676857	0.596976665353714	0.701511667323143
117	0.264832274493222	0.529664548986445	0.735167725506778
118	0.271701325609062	0.543402651218124	0.728298674390938
119	0.290451154962427	0.580902309924853	0.709548845037573
120	0.285912134698727	0.571824269397453	0.714087865301273
121	0.241597250663634	0.483194501327269	0.758402749336366
122	0.221226472130995	0.442452944261989	0.778773527869005
123	0.193596031280021	0.387192062560042	0.806403968719979
124	0.167333113892619	0.334666227785239	0.83266688610738
125	0.158559206246466	0.317118412492933	0.841440793753534
126	0.125714430809553	0.251428861619106	0.874285569190447
127	0.128704205806982	0.257408411613963	0.871295794193018
128	0.179498513294582	0.358997026589164	0.820501486705418
129	0.30583707665818	0.61167415331636	0.69416292334182
130	0.747788538686879	0.504422922626242	0.252211461313121
131	0.699191491650317	0.601617016699365	0.300808508349683
132	0.893640015686247	0.212719968627507	0.106359984313753
133	0.963911901665727	0.0721761966685456	0.0360880983342728
134	0.946261847524804	0.107476304950391	0.0537381524751956
135	0.922091200689842	0.155817598620316	0.0779087993101578
136	0.943832887997952	0.112334224004096	0.0561671120020478
137	0.915888270929476	0.168223458141048	0.0841117290705242
138	0.942855927069664	0.114288145860671	0.0571440729303357
139	0.912423477250327	0.175153045499346	0.087576522749673
140	0.908161731887006	0.183676536225988	0.0918382681129941
141	0.862098626407462	0.275802747185076	0.137901373592538
142	0.800988453832128	0.398023092335744	0.199011546167872
143	0.899130198770117	0.201739602459767	0.100869801229883
144	0.84247018730781	0.315059625384381	0.157529812692191
145	0.780345607236105	0.439308785527789	0.219654392763895
146	0.710870832385727	0.578258335228545	0.289129167614273
147	0.630616538028545	0.73876692394291	0.369383461971455
148	0.493272067666649	0.986544135333298	0.506727932333351
149	0.474838263140947	0.949676526281894	0.525161736859053

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	1	0.00714285714285714	OK