Multiple Linear Regression - Estimated Regression Equation

LFM[t] = + 13.2170503807952 -0.00496323024730051pg[t] + 0.00661990743002763blogs[t] + 1.48120267528336hours[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)	13.2170503807952	1.938188	6.8193	0	0
pg	-0.00496323024730051	0.001994	-2.4888	0.013948	0.006974
blogs	0.00661990743002763	0.078269	0.0846	0.932713	0.466357
hours	1.48120267528336	0.176157	8.4084	0	0

Multiple Linear Regression - Regression Statistics
Multiple R	0.75062560382769
R-squared	0.563438797121684
Adjusted R-squared	0.554406496372478
F-TEST (value)	62.3804291692989
F-TEST (DF numerator)	3
F-TEST (DF denominator)	145
p-value	0
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation	11.8229483727053
Sum Squared Residuals	20268.4056924301

Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or Index	Actuals	Interpolation Forecast	Residuals Prediction Error
1	56	79.6824314011345	-23.6824314011345
2	73	71.910179761732	1.08982023826799
3	62	71.0885425171292	-9.08854251712924
4	42	69.1524986550409	-27.1524986550409
5	59	62.7181251143173	-3.71812511431735
6	27	33.1156612227212	-6.1156612227212
7	59	61.188423025436	-2.18842302543597
8	56	59.3256026146217	-3.32560261462173
9	78	59.3283377702724	18.6716622297276
10	47	57.4406127913102	-10.4406127913102
11	51	53.4199677209014	-2.41996772090139
12	47	57.1572460906143	-10.1572460906143
13	55	53.4090616968001	1.59093830319985
14	35	55.2796689104238	-20.2796689104238
15	47	51.5952205754344	-4.59522057543443
16	48	54.0669500463954	-6.06695004639537
17	47	52.0568485975395	-5.05684859753955
18	55	51.9323052647572	3.06769473524276
19	42	49.9072461121507	-7.9072461121507
20	54	50.2712526038908	3.72874739610923
21	60	53.3881543978946	6.61184560210539
22	51	48.0582542128611	2.94174578713887
23	47	46.8533425555447	0.146657444455251
24	52	46.9575975959416	5.04240240405842
25	38	44.743969700442	-6.74396970044204
26	46	46.8446305995357	-0.844630599535719
27	12	46.7023740034494	-34.7023740034494
28	48	45.7709161889361	2.22908381106392
29	48	45.8668674395166	2.13313256048336
30	32	44.5134942461775	-12.5134942461775
31	27	46.4044713677972	-19.4044713677972
32	60	45.8166705409306	14.1833294590694
33	47	44.6486751595349	2.35132484046508
34	47	43.9703284850322	3.02967151496781
35	58	46.0433564616281	11.9566435383719
36	47	42.8101063038442	4.18989369615585
37	45	41.9928231889214	3.00717681107858
38	48	41.6173015725128	6.38269842748717
39	42	41.5875085884273	0.412491411572734
40	41	44.732485477626	-3.73248547762601
41	48	41.8522640778231	6.14773592217692
42	60	43.8027931611095	16.1972068388905
43	56	44.9029395923231	11.0970604076769
44	41	41.0063140663889	-0.00631406638890214
45	52	43.2761873704906	8.7238126295094
46	50	42.5564577729241	7.4435422270759
47	49	43.8832833235343	5.1167166764657
48	42	41.6564768248826	0.343523175117375
49	39	43.4151714200168	-4.41517142001678
50	39	43.1752320818575	-4.17523208185746
51	41	41.5969452671185	-0.596945267118543
52	46	42.0265454292406	3.97345457075941
53	36	40.9263377863191	-4.92633778631908
54	49	40.0545135490831	8.94548645091692
55	48	37.7548880687011	10.2451119312989
56	55	40.3340363058049	14.6659636941951
57	45	40.2893944387828	4.71060556121723
58	48	40.6015813612585	7.3984186387415
59	52	38.4392900545208	13.5607099454792
60	39	37.6832223797484	1.31677762025156
61	45	40.5834259252573	4.4165740747427
62	32	38.4123002390948	-6.41230023909477
63	51	36.972997473882	14.027002526118
64	41	37.2658212571719	3.73417874282812
65	52	39.977381245478	12.022618754522
66	22	38.0946535032675	-16.0946535032675
67	54	35.5960090311902	18.4039909688098
68	27	35.2943440671746	-8.29434406717459
69	41	35.9826920164816	5.01730798351839
70	45	35.5111443351828	9.48885566481722
71	52	36.4987795452894	15.5012204547106
72	57	34.4070995495881	22.5929004504119
73	47	33.2937337074171	13.7062662925829
74	41	33.2683937678729	7.73160623212714
75	46	32.985414829467	13.014585170533
76	43	34.2345737902146	8.76542620978539
77	31	32.6049843932182	-1.6049843932182
78	40	33.8010752737115	6.19892472628854
79	24	32.9573669394757	-8.95736693947566
80	30	31.8869658832415	-1.88696588324148
81	45	32.7467308035986	12.2532691964014
82	32	32.8873579277057	-0.887357927705722
83	46	33.0246444922439	12.9753555077561
84	9	31.9460076592022	-22.9460076592022
85	44	31.3487361471399	12.6512638528601
86	32	31.5192242683414	0.480775731658563
87	37	33.2877569070587	3.71224309294126
88	64	32.3479817001274	31.6520182998726
89	21	29.7964119751143	-8.79641197511427
90	20	30.5971555234133	-10.5971555234133
91	33	30.1885411711554	2.81145882884459
92	26	29.3513915326417	-3.35139153264171
93	36	27.8254857786282	8.17451422137176
94	33	27.827142455811	5.17285754418903
95	20	29.3789768460333	-9.3789768460333
96	31	29.7826483719465	1.21735162805352
97	13	29.5014281302366	-16.5014281302366
98	35	29.3855967534633	5.61440324653668
99	24	28.9334190126512	-4.93341901265125
100	40	26.9382004532364	13.0617995467636
101	19	28.7348762001575	-9.73487620015747
102	15	27.1813987353542	-12.1813987353542
103	34	28.1905707488363	5.80942925116374
104	32	27.7124983783197	4.28750162168027
105	58	28.7398666356083	29.2601333643917
106	21	28.7696732222956	-7.76967322229562
107	31	26.6333173530677	4.36668264693229
108	21	27.1742686422182	-6.17426864221818
109	26	26.8004173055941	-0.800417305594078
110	47	26.7921203170787	20.2078796829213
111	37	26.7821734526814	10.2178265473186
112	28	25.6136746868806	2.38632531311935
113	9	25.6070207729462	-16.6070207729462
114	45	24.4286567583588	20.5713432416412
115	32	23.5203380139966	8.47966198600341
116	35	24.6651671200376	10.3348328799624
117	29	24.1043425059953	4.89565749400467
118	1	23.9290407831659	-22.9290407831659
119	20	23.7353999892115	-3.73539998921148
120	15	23.9868476507384	-8.98684765073844
121	11	23.0698169503672	-12.0698169503672
122	33	22.6893116998087	10.3106883001913
123	18	22.7604467991528	-4.76044679915277
124	10	22.1065149109947	-12.1065149109947
125	41	21.4661697921815	19.5338302078185
126	10	20.4382981504878	-10.4382981504878
127	0	20.4879236516599	-20.4879236516599
128	28	18.343304800421	9.65669519957897
129	31	19.3822561953869	11.6177438046131
130	24	19.1142485633336	4.88575143666643
131	38	19.4864840305802	18.5135159694198
132	0	19.4649948363109	-19.4649948363109
133	25	19.4285819447954	5.57141805520465
134	40	18.8760067101623	21.1239932898377
135	4	18.5517604708077	-14.5517604708077
136	23	19.302851312731	3.69714868726901
137	13	17.940759362082	-4.94075936208196
138	6	17.6975610799642	-11.6975610799642
139	0	16.9906223232598	-16.9906223232598
140	3	16.6382397770023	-13.6382397770023
141	0	15.0329495442355	-15.0329495442355
142	7	14.8493100250854	-7.84931002508542
143	2	15.5540887202021	-13.5540887202021
144	0	14.4919574472798	-14.4919574472798
145	0	15.9610736004807	-15.9610736004807
146	0	14.5741722998961	-14.5741722998961
147	0	14.1820771103593	-14.1820771103593
148	5	14.006714175822	-9.00671417582198
149	0	13.1624548480749	-13.1624548480749

Goldfeld-Quandt test for Heteroskedasticity
p-values	Alternative Hypothesis
breakpoint index	greater	2-sided	less
7	0.325074635781799	0.650149271563597	0.674925364218201
8	0.371607782438907	0.743215564877814	0.628392217561093
9	0.800176432136307	0.399647135727386	0.199823567863693
10	0.725402437146915	0.549195125706171	0.274597562853086
11	0.652143204112455	0.695713591775089	0.347856795887545
12	0.598803303294897	0.802393393410206	0.401196696705103
13	0.508737037975466	0.982525924049069	0.491262962024534
14	0.694078793449163	0.611842413101675	0.305921206550837
15	0.61651975953746	0.766960480925081	0.38348024046254
16	0.540732068720033	0.918535862559934	0.459267931279967
17	0.464314229286968	0.928628458573937	0.535685770713032
18	0.389628387233074	0.779256774466148	0.610371612766926
19	0.338410504449102	0.676821008898204	0.661589495550898
20	0.280682943194649	0.561365886389298	0.719317056805351
21	0.252516004924874	0.505032009849748	0.747483995075126
22	0.202569006473999	0.405138012947999	0.797430993526001
23	0.15548532762361	0.310970655247221	0.84451467237639
24	0.11755422530736	0.235108450614719	0.88244577469264
25	0.107044529356052	0.214089058712104	0.892955470643948
26	0.0841937336186085	0.168387467237217	0.915806266381392
27	0.571059803143081	0.857880393713838	0.428940196856919
28	0.524273194643753	0.951453610712495	0.475726805356247
29	0.473228673783396	0.946457347566791	0.526771326216604
30	0.50060431403813	0.99879137192374	0.49939568596187
31	0.628364232098117	0.743271535803766	0.371635767901883
32	0.675395745683016	0.649208508633968	0.324604254316984
33	0.629648517996605	0.740702964006789	0.370351482003395
34	0.583998544355802	0.832002911288397	0.416001455644198
35	0.591549766496428	0.816900467007144	0.408450233503572
36	0.542548374515557	0.914903250968886	0.457451625484443
37	0.491809020290902	0.983618040581804	0.508190979709098
38	0.448020031090493	0.896040062180985	0.551979968909507
39	0.400768071704559	0.801536143409118	0.599231928295441
40	0.374643395202959	0.749286790405918	0.625356604797041
41	0.33182575579713	0.663651511594261	0.66817424420287
42	0.36195184529077	0.723903690581541	0.63804815470923
43	0.34348078455538	0.686961569110759	0.656519215444621
44	0.303291134127653	0.606582268255307	0.696708865872346
45	0.269023446109985	0.53804689221997	0.730976553890015
46	0.234252427820648	0.468504855641296	0.765747572179352
47	0.198813903356432	0.397627806712865	0.801186096643568
48	0.170648518998045	0.34129703799609	0.829351481001955
49	0.155709819657838	0.311419639315676	0.844290180342162
50	0.144812310106824	0.289624620213647	0.855187689893176
51	0.123598614879691	0.247197229759382	0.876401385120309
52	0.101227537435849	0.202455074871699	0.898772462564151
53	0.102479833206098	0.204959666412196	0.897520166793902
54	0.0861469968215327	0.172293993643065	0.913853003178467
55	0.0729196400962914	0.145839280192583	0.927080359903709
56	0.0714715248335709	0.142943049667142	0.928528475166429
57	0.0582703307783965	0.116540661556793	0.941729669221604
58	0.0464018723139836	0.0928037446279672	0.953598127686016
59	0.041287319156369	0.082574638312738	0.958712680843631
60	0.0337444964169957	0.0674889928339914	0.966255503583004
61	0.0257034068843465	0.051406813768693	0.974296593115654
62	0.0305692222458492	0.0611384444916984	0.969430777754151
63	0.0273926656742685	0.054785331348537	0.972607334325732
64	0.020888399030886	0.041776798061772	0.979111600969114
65	0.0170636915658439	0.0341273831316878	0.982936308434156
66	0.0515291045885316	0.103058209177063	0.948470895411468
67	0.0547302302500733	0.109460460500147	0.945269769749927
68	0.0823046266407341	0.164609253281468	0.917695373359266
69	0.0669507033977612	0.133901406795522	0.933049296602239
70	0.0540163438899127	0.108032687779825	0.945983656110087
71	0.0489395119730469	0.0978790239460939	0.951060488026953
72	0.060917937243145	0.12183587448629	0.939082062756855
73	0.0556408922501358	0.111281784500272	0.944359107749864
74	0.0443046390028651	0.0886092780057303	0.955695360997135
75	0.0355065718704107	0.0710131437408213	0.964493428129589
76	0.0281694022493522	0.0563388044987045	0.971830597750648
77	0.0253002106816925	0.050600421363385	0.974699789318307
78	0.0191839763307441	0.0383679526614881	0.980816023669256
79	0.0256225546440932	0.0512451092881863	0.974377445355907
80	0.0225647198562596	0.0451294397125193	0.97743528014374
81	0.0186109877985659	0.0372219755971319	0.981389012201434
82	0.0158524892293885	0.031704978458777	0.984147510770611
83	0.0125858992856307	0.0251717985712615	0.987414100714369
84	0.0643083862391634	0.128616772478327	0.935691613760837
85	0.0534339806259323	0.106867961251865	0.946566019374068
86	0.0437533135060015	0.087506627012003	0.956246686493998
87	0.0344280421130555	0.068856084226111	0.965571957886944
88	0.0850148912028985	0.170029782405797	0.914985108797101
89	0.100288595261804	0.200577190523608	0.899711404738196
90	0.120596647607842	0.241193295215685	0.879403352392158
91	0.0991034473324646	0.198206894664929	0.900896552667535
92	0.0909448692218073	0.181889738443615	0.909055130778193
93	0.0726022684357553	0.145204536871511	0.927397731564245
94	0.0576134326810374	0.115226865362075	0.942386567318963
95	0.0699958779778416	0.139991755955683	0.930004122022158
96	0.0570638517490335	0.114127703498067	0.942936148250966
97	0.10024031452487	0.20048062904974	0.89975968547513
98	0.0800275410917499	0.1600550821835	0.91997245890825
99	0.0776106753673609	0.155221350734722	0.922389324632639
100	0.0658729966035025	0.131745993207005	0.934127003396497
101	0.0910600690446131	0.182120138089226	0.908939930955387
102	0.138360285242572	0.276720570485143	0.861639714757428
103	0.116316807949844	0.232633615899687	0.883683192050156
104	0.0932599542495968	0.186519908499194	0.906740045750403
105	0.18738570407937	0.374771408158741	0.81261429592063
106	0.183039887648488	0.366079775296975	0.816960112351512
107	0.150482881639399	0.300965763278797	0.849517118360601
108	0.161034394599773	0.322068789199546	0.838965605400227
109	0.135331600331406	0.270663200662811	0.864668399668594
110	0.153950984027465	0.307901968054931	0.846049015972535
111	0.126107544375487	0.252215088750974	0.873892455624513
112	0.100678231696934	0.201356463393868	0.899321768303066
113	0.23203318335078	0.464066366701559	0.767966816649221
114	0.491334488849474	0.982668977698949	0.508665511150526
115	0.45495644110687	0.909912882213741	0.545043558893129
116	0.40634791066555	0.812695821331099	0.59365208933445
117	0.359062458128659	0.718124916257318	0.640937541871341
118	0.391079513030983	0.782159026061965	0.608920486969017
119	0.364133006442691	0.728266012885381	0.635866993557309
120	0.511038866711548	0.977922266576904	0.488961133288452
121	0.632847745141944	0.734304509716111	0.367152254858056
122	0.583761107703172	0.832477784593656	0.416238892296828
123	0.599235312195102	0.801529375609796	0.400764687804898
124	0.829334095263895	0.341331809472209	0.170665904736105
125	0.790886909607451	0.418226180785098	0.209113090392549
126	0.750542689536607	0.498914620926787	0.249457310463394
127	0.861671369584462	0.276657260831076	0.138328630415538
128	0.940363150944044	0.119273698111912	0.0596368490559562
129	0.917523418555169	0.164953162889661	0.0824765814448306
130	0.893904345726043	0.212191308547915	0.106095654273957
131	0.926642504234884	0.146714991530232	0.0733574957651158
132	0.917391300441879	0.165217399116242	0.0826086995581209
133	0.885641404980556	0.228717190038888	0.114358595019444
134	0.995721531353987	0.00855693729202605	0.00427846864601303
135	0.998354979920865	0.00329004015827001	0.001645020079135
136	0.999505767531126	0.000988464937748062	0.000494232468874031
137	0.999926200487072	0.000147599025855331	7.37995129276657e-05
138	0.999868545866004	0.000262908267992865	0.000131454133996432
139	0.999408328900793	0.00118334219841413	0.000591671099207067
140	0.998190374311402	0.0036192513771951	0.00180962568859755
141	0.993805423316235	0.0123891533675308	0.00619457668376541
142	0.999259532868185	0.00148093426362937	0.000740467131814686

Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description	# significant tests	% significant tests	OK/NOK
1% type I error level	8	0.0588235294117647	NOK
5% type I error level	16	0.117647058823529	NOK
10% type I error level	30	0.220588235294118	NOK