Estimativas EconometricasII

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Linear(Pcarne; Renda)
	Demanda	Pcarne	Pfrango	Renda
	110	90	10	120
	100	90	12	110
	80	100	12	100
	85	100	13	100
	70	110	14	90
	69	112	14	90
	Definindo a matriz
	Y	X	β	U
	110	1	90	120	U
	100	1	90	110	U
	80	=	1	100	100	β1	U
	85	1	100	100	β2	+	U
	70	1	110	90	β3	U
	69	1	112	90	U
	Matriz X'X
	1	90	120
	1	1	1	1	1	1	1	90	110
	90	90	100	100	110	112	1	100	100
	120	110	100	100	90	90	1	100	100
	1	110	90
	1	112	90
	6	602	610
	=	602	60844	60680
	610	60680	62700
	Matriz X'Y
	110
	1	1	1	1	1	1	100	514
	90	90	100	100	110	112	80	=	50828
	120	110	100	100	90	90	85	53210
	70
	69
	Det(X'X)=	174400,0000000168
	Cof(X'X)
	C11	60844	60680	C21	602	610	C31	602	610
	60680	62700	60680	62700	60844	60680
	132856400	-730600	-585480
	C12	602	60680	C22	6	610	C32	6	610
	610	62700	610	62700	602	60680
	-730600	4100	3140
	C13	602	60844	C23	6	602	C33	6	602
	610	60680	610	60680	602	60844
	-585480	3140	2660
	132856400	-730600	-585480
	Cof(X'X) =	-730600	4100	3140
	-585480	3140	2660
	132856400	-730600	-585480
	[Cof(X'X)]' =	-730600	4100	3140
	-585480	3140	2660
	761,79128440	-4,18922018	-3,35711009
	Inv(X'X) =	-4,18922018	0,02350917	0,01800459
	-3,35711009	0,01800459	0,01525229
	761,79128440	-4,18922018	-3,35711009	514
	-4,18922018	0,02350917	0,01800459	*	50828
	-3,35711009	0,01800459	0,01525229	53210
	-0,7912844037
	β	-0,3107798165
	1,1571100917
	110
	100
	80
	(Y'Y)	110	100	80	85	70	69	85	=	45386
	70
	514	69
	β'(X'Y)	-0,7912844037	-0,3107798165	1,1571100917	50828	=	45366,7912843952
	53210
	σ2	6,40290520
	761,79128440	-4,18922018	-3,35711009	4877,67737745	-26,82317970	-21,49525767
	VAR-COV=	6,40290520	-4,18922018	0,02350917	0,01800459	=	-26,82317970	0,15052701	0,11528166
	-3,35711009	0,01800459	0,01525229	-21,49525767	0,11528166	0,09765899
	Var(β1)	4877,67737745	Ep(β1)	69,84037069
	Var(β2)	0,15052701	Ep(β2)	0,38797811
	Var(β3)	0,09765899	Ep(β3)	0,31250438
	0,98580637	0,9763439463
	104,1811939831
	t(β1)	-0,0113298998
	t(β2)	-0,8010240986
	t(β3)	3,7027003516
&A
LogLog(Pcarne; Renda)
	Demanda	Pcarne	Pfrango	Renda
	110	90	10	120
	100	90	12	110
	80	100	12	100
	85	100	13	100
	70	110	14	90
	69	112	14	90
	Definindo a matriz
	Y	X	β	U
	4,70048037	1	4,49980967	4,78749174	U
	4,60517019	1	4,49980967	4,70048037	U
	4,38202663	=	1	4,60517019	4,60517019	β1	U
	4,44265126	1	4,60517019	4,60517019	β2	+	U
	4,24849524	1	4,70048037	4,49980967	β3	U
	4,23410650	1	4,71849887	4,49980967	U
	Matriz X'X
	1	4,49980967	4,78749174
	1	1	1	1	1	1	1	4,49980967	4,70048037
	4,49980967	4,49980967	4,60517019	4,60517019	4,70048037	4,71849887	1	4,60517019	4,60517019
	4,78749174	4,70048037	4,60517019	4,60517019	4,49980967	4,49980967	1	4,60517019	4,60517019
	1	4,70048037	4,49980967
	1	4,71849887	4,49980967
	6	27,62893895	27,69793182
	=	27,62893895	127,27050629	127,49286739
	27,69793182	127,49286739	127,92635188
	Matriz X'Y
	4,70048037
	1	1	1	1	1	1	4,60517019	26,61293019
	4,49980967	4,49980967	4,60517019	4,60517019	4,70048037	4,71849887	4,38202663	=	122,46139510
	4,78749174	4,70048037	4,60517019	4,60517019	4,49980967	4,49980967	4,44265126	122,95925987
	4,24849524
	4,23410650
	Det(X'X)=	0,00115213
	Cof(X'X)
	C11	127,27050629	127,49286739	C21	27,62893895	27,69793182	C31	27,62893895	27,69793182
	127,49286739	127,92635188	127,49286739	127,92635188	127,27050629	127,49286739
	26,82033723	-3,18061758	-2,63715655
	C12	27,62893895	127,49286739	C22	6	27,69793182	C32	6	27,69793182
	27,69793182	127,92635188	27,69793182	127,92635188	27,62893895	127,49286739
	-3,18061758	0,38268410	0,30726301
	C13	27,62893895	127,27050629	C23	6	27,62893895	C33	6	27,62893895
	27,69793182	127,49286739	27,69793182	127,49286739	27,62893895	127,27050629
	-2,63715655	0,30726301	0,26477025
	26,82033723	-3,18061758	-2,63715655
	Cof(X'X) =	-3,18061758	0,38268410	0,30726301
	-2,63715655	0,30726301	0,26477025
	26,82033723	-3,18061758	-2,63715655
	[Cof(X'X)]' =	-3,18061758	0,38268410	0,30726301
	-2,63715655	0,30726301	0,26477025
	23278,81954176	-2760,62981894	-2288,93062953
	Inv(X'X) =	-2760,62981894	332,15220277	266,69016405
	-2288,93062953	266,69016405	229,80840437
	23278,81954176	-2760,62981894	-2288,93062953	26,61293019
	-2760,62981894	332,15220277	266,69016405	*	122,46139510
	-2288,93062953	266,69016405	229,80840437	122,95925987
	1,80427259
	β	-0,60132700
	1,16981014
	4,70048037
	4,60517019
	4,38202663
	(Y'Y)	4,70048037	4,60517019	4,38202663	4,44265126	4,24849524	4,23410650	4,44265126	=	118,21878544
	4,24849524
	26,61293019	4,23410650
	β'(X'Y)	1,80427259	-0,60132700	1,16981014	122,46139510	=	118,21662669
	122,95925987
	σ2	0,00071958
	23278,81954176	-2760,62981894	-2288,93062953	16,75106516	-1,98650494	-1,64707777
	VAR-COV=	0,00071958	-2760,62981894	332,15220277	266,69016405	=	-1,98650494	0,23901140	0,19190596
	-2288,93062953	266,69016405	229,80840437	-1,64707777	0,19190596	0,16536644
	Var(β1)	16,75106516	Ep(β1)	4,09280651
	Var(β2)	0,23901140	Ep(β2)	0,48888792
	Var(β3)	0,16536644	Ep(β3)	0,40665273
	0,98783413	0,97972354
	121,7957069644
	t(β1)	0,4408399439
	t(β2)	-1,2299894869
	t(β3)	2,876680917
&A
LinearLog(Pcarne; Renda)
	Demanda	Pcarne	Pfrango	Renda
	110	90	10	120
	100	90	12	110
	80	100	12	100
	85	100	13	100
	70	110	14	90
	69	112	14	90
	Definindo a matriz
	Y	X	β	U
	110	1	4,49980967	4,78749174	U
	100	1	4,49980967	4,70048037	U
	80	=	1	4,60517019	4,60517019	β1	U
	85	1	4,60517019	4,60517019	β2	+	U
	70	1	4,70048037	4,49980967	β3	U
	69	1	4,71849887	4,49980967	U
	Matriz X'X
	1	4,49980967	4,78749174
	1	1	1	1	1	1	1	4,49980967	4,70048037
	4,49980967	4,49980967	4,60517019	4,60517019	4,70048037	4,71849887	1	4,60517019	4,60517019
	4,78749174	4,70048037	4,60517019	4,60517019	4,49980967	4,49980967	1	4,60517019	4,60517019
	1	4,70048037	4,49980967
	1	4,71849887	4,49980967
	6,00000000	27,62893895	27,69793182
	=	27,62893895	127,27050629	127,49286739
	27,69793182	127,49286739	127,92635188
	Matriz X'Y
	110
	1	1	1	1	1	1	100	514,00000000
	4,49980967	4,49980967	4,60517019	4,60517019	4,70048037	4,71849887	80	=	2359,42315918
	4,78749174	4,70048037	4,60517019	4,60517019	4,49980967	4,49980967	85	2381,99875315
	70
	69
	Det(X'X)=	0,0011521348
	Cof(X'X)
	C11	127,27050629	127,49286739	C21	27,62893895	27,69793182	C31	27,62893895	27,69793182
	127,49286739	127,92635188	127,49286739	127,92635188	127,27050629	127,49286739
	26,82033723	-3,18061758	-2,63715655
	C12	27,62893895	127,49286739	C22	6,00000000	27,69793182	C32	6,00000000	27,69793182
	27,69793182	127,92635188	27,69793182	127,92635188	27,62893895	127,49286739
	-3,18061758	0,38268410	0,30726301
	C13	27,62893895	127,27050629	C23	6,00000000	27,62893895	C33	6,00000000	27,62893895
	27,69793182	127,49286739	27,69793182	127,49286739	27,62893895	127,27050629
	-2,63715655	0,30726301	0,26477025
	26,82033723	-3,18061758	-2,63715655
	Cof(X'X) =	-3,18061758	0,38268410	0,30726301
	-2,63715655	0,30726301	0,26477025
	26,82033723	-3,18061758	-2,63715655
	[Cof(X'X)]' =	-3,18061758	0,38268410	0,30726301
	-2,63715655	0,30726301	0,26477025
	23278,81954176	-2760,62981894	-2288,93062953
	Inv(X'X) =	-2760,62981894	332,15220277	266,69016405
	-2288,93062953	266,69016405	229,80840437
	23278,81954176	-2760,62981894	-2288,93062953	514,00000000
	-2760,62981894	332,15220277	266,69016405	*	2359,42315918
	-2288,93062953	266,69016405	229,80840437	2381,99875315
	-410,58986325
	β	-20,48909800
	127,93847714
	110
	100
	80
	(Y'Y)	110	100	80	85	70	69	85	=	45386,00000000
	70
	514,00000000	69
	β'(X'Y)	-410,58986325	-20,48909800	127,93847714	2359,42315918	=	45363,65099799
	2381,99875315
	σ2	7,44966734
	23278,81954176	-2760,62981894	-2288,93062953	173419,46159297	-20565,77379278	-17051,77174832
	VAR-COV=	7,44966734	-2760,62981894	332,15220277	266,69016405	=	-20565,77379278	2474,42341604	1986,75300432
	-2288,93062953	266,69016405	229,80840437	-17051,77174832	1986,75300432
1711,99616388
	Var(β1)	173419,46159297	Ep(β1)	416,43662374
	Var(β2)	2474,42341604	Ep(β2)	49,74357663
	Var(β3)	1711,99616388	Ep(β3)	41,37627537
	0,98348596	0,97247660
	89,33179638
	t(β1)	-0,98596002
	t(β2)	-0,41189435
	t(β3)	3,09207332
	Emag1	-4,44948640
	Emag2	-4,43840316
	E1	-0,23917235
&A
LogLinear(Pcarne; Renda)
	Demanda	Pcarne	Pfrango	Renda
	110	90	10	120
	100	90	12	110
	80	100	12	100
	85	100	13	100
	70	110	14	90
	69	112	14	90
	Definindo a matriz
	Y	X	β	U
	4,70048037	1	90	120	U
	4,60517019	1	90	110	U
	4,38202663	=	1	100	100	β1	U
	4,44265126	1	100	100	β2	+	U
	4,24849524	1	110	90	β3	U
	4,23410650	1	112	90	U
	Matriz X'X
	1	90	120
	1	1	1	1	1	1	1	90	110
	90	90	100	100	110	112	1	100	100
	120	110	100	100	90	90	1	100	100
	1	110	90
	1	112	90
	6	602	610
	=	602	60844	60680
	610	60680	62700
	Matriz X'Y
	4,70048037
	1	1	1	1	1	1	4,60517019	26,61293019
	90	90	100	100	110	112	4,38202663	=	2661,53074392
	120	110	100	100	90	90	4,44265126	2716,52831067
	4,24849524
	4,23410650
	Det(X'X)=	174400,00000002
	Cof(X'X)
	C11	60844	60680	C21	602	610	C31	602	610
	60680	62700	60680	62700	60844	60680
	132856400	-730600	-585480
	C12	602	60680	C22	6	610	C32	6	610
	610	62700	610	62700	602	60680
	-730600	4100	3140
	C13	602	60844	C23	6	602	C33	6	602
	610	60680	610	60680	602	60844
	-585480	3140	2660
	132856400	-730600	-585480
	Cof(X'X) =	-730600	4100	3140
	-585480	3140	2660
	132856400	-730600	-585480
	[Cof(X'X)]' =	-730600	4100	3140
	-585480	3140	2660
	761,79128440	-4,18922018	-3,35711009
	Inv(X'X) =	-4,18922018	0,02350917	0,01800459
	-3,35711009	0,01800459	0,01525229
	761,79128440	-4,18922018	-3,35711009	26,61293019
	-4,18922018	0,02350917	0,01800459	*	2661,53074392
	-3,35711009	0,01800459	0,01525229	2716,52831067
	4,07535324
	β	-0,00706337
	0,01051304
	4,70048037
	4,60517019
	4,38202663
	(Y'Y)	4,70048037	4,60517019	4,38202663	4,44265126	4,24849524	4,23410650	4,44265126	=	118,21878544
	4,24849524
	26,61293019	4,23410650
	β'(X'Y)	4,07535324	-0,00706337	0,01051304	2661,53074392	=	118,21670823
	2716,52831067
	σ2	0,00069240
	761,79128440	-4,18922018	-3,35711009	0,52746531	-0,00290062	-0,00232447
	VAR-COV=	0,00069240	-4,18922018	0,02350917	0,01800459	=	-0,00290062	0,00001628	0,00001247
	-3,35711009	0,01800459	0,01525229	-0,00232447	0,00001247	0,00001056
	Var(β1)	0,52746531	Ep(β1)	0,72626807
	Var(β2)	0,00001628	Ep(β2)	0,00403457
	Var(β3)	0,00001056	Ep(β3)	0,00324972
	0,98829370	0,98048950
	126,63610625
	t(β1)	5,61136223
	t(β2)	-1,75070932
	t(β3)	3,23505710
	emag	-0,03132948
	elas1	-0,70869101
	elas2	-0,71810883
&A
Linear(Pcarne;Pfrango)
	Demanda	Pcarne	Pfrango	Renda
	110	90	10	120
	100	90	12	110
	80	100	12	100
	85	100	13	100
	70	110	14	90
	69	112	14	90
	Definindo a matriz
	Y	X	β	U
	110	1	90	10	U
	100	1	90	12	U
	80	=	1	100	12	β1	U
	85	1	100	13	β2	+	U
	70	1	110	14	β3	U
	69	1	112	14	U
	Matriz X'X
	1	90	10
	1	1	1	1	1	1	1	90	12
	90	90	100	100	110	112	1	100	12
	10	12	12	13	14	14	1	100	13
	1	110	14
	1	112	14
	6	602	75
	=	602	60844	7588
	75	7588	949
	Matriz X'Y
	110
	1	1	1	1	1	1	100	514
	90	90	100	100	110	112	80	=	50828
	10	12	12	13	14	14	85	6311
	70
	69
	Det(X'X)=	6775,9999999995
	Cof(X'X)
	C11	60844	7588	C21	602	75	C31	602	75
	7588	949	7588	949	60844	7588
	163212	-2198	4676
	C12	602	7588	C22	6	75	C32	6	75
	75	949	75	949	602	7588
	-2198	69	-378
	C13	602	60844	C23	6	602	C33	6	602
	75	7588	75	7588	602	60844
	4676	-378	2660
	163212	-2198	4676
	Cof(X'X) =	-2198	69	-378
	4676	-378	2660
	163212	-2198	4676
	[Cof(X'X)]' =	-2198	69	-378
	4676	-378	2660
	24,08677686	-0,32438017	0,69008264
	Inv(X'X) =	-0,32438017	0,01018300	-0,05578512
	0,69008264	-0,05578512	0,39256198
	24,08677686	-0,32438017	0,69008264	514
	-0,32438017	0,01018300	-0,05578512	*	50828
	0,69008264	-0,05578512	0,39256198	6311
	248,1198347108
	β	-1,2098583235
	-3,2851239669
	110
	100
	80
	(Y'Y)	110	100	80	85	70	69	85	=	45386
	70
	514	69
	β'(X'Y)	248,1198347108	-1,2098583235	-3,2851239669	50828	=	45306,4988193665
	6311
	σ2	26,50039354
	24,08677686	-0,32438017	0,69008264	638,30906600	-8,59620204	18,28746166
	VAR-COV=	26,50039354	-0,32438017	0,01018300	-0,05578512	=	-8,59620204	0,26985348	-1,47832774
	0,69008264	-0,05578512	0,39256198	18,28746166	-1,47832774	10,40304705
	Var(β1)	638,30906600	Ep(β1)	25,26477916
	Var(β2)	0,26985348	Ep(β2)	0,51947423
	Var(β3)	10,40304705	Ep(β3)	3,22537549
	0,94125529	0,9020921421
	24,0342119931
	t(β1)	9,8207798747
	t(β2)	-2,3290054682
	t(β3)	-1,0185245026
&A
LogLog(Pcarne; PFrango)
	Demanda	Pcarne	Pfrango	Renda
	110	90	10	120
	100	90	12	110
	80	100	12	100
	85	100	13	100
	70	110	14	90
	69	112	14	90
	Definindo a matriz
	Y	X	β	U
	4,70048037	1	4,49980967	2,30258509	U
	4,60517019	1	4,49980967	2,48490665	U
	4,38202663	=	1	4,60517019	2,48490665	β1	U
	4,44265126	1	4,60517019	2,56494936	β2	+	U
	4,24849524	1	4,70048037	2,63905733	β3	U
	4,23410650	1	4,71849887	2,63905733	U
	Matriz X'X
	1	4,49980967	2,30258509
	1	1	1	1	1	1	1	4,49980967	2,48490665
	4,49980967	4,49980967	4,60517019	4,60517019	4,70048037	4,71849887	1	4,60517019	2,48490665
	2,30258509	2,48490665	2,48490665	2,56494936	2,63905733	2,63905733	1	4,60517019	2,56494936
	1	4,70048037	2,63905733
	1	4,71849887	2,63905733
	6	27,62893895	15,11546241
	=	27,62893895	127,27050629	69,65547416
	15,11546241	69,65547416	38,15963261
	Matriz X'Y
	4,70048037
	1	1	1	1	1	1	4,60517019	26,61293019
	4,49980967	4,49980967	4,60517019	4,60517019	4,70048037	4,71849887	4,38202663	=	122,46139510
	2,30258509	2,48490665	2,48490665	2,56494936	2,63905733	2,63905733	4,44265126	66,93684896
	4,24849524
	4,23410650
	Det(X'X)=	0,00532956
	Cof(X'X)
	C11	127,27050629	69,65547416	C21	27,62893895	15,11546241	C31	27,62893895	15,11546241
	69,65547416	38,15963261	69,65547416	38,15963261	127,27050629	69,65547416
	4,71068151	-1,43545846	0,75428951
	C12	27,62893895	69,65547416	C22	6	15,11546241	C32	6	15,11546241
	15,11546241	38,15963261	15,11546241	38,15963261	27,62893895	69,65547416
	-1,43545846	0,48059182	-0,30865687
	C13	27,62893895	127,27050629	C23	6	27,62893895	C33	6	27,62893895
	15,11546241	69,65547416	15,11546241	69,65547416	27,62893895	127,27050629
	0,75428951	-0,30865687	0,26477025
	4,71068151	-1,43545846	0,75428951
	Cof(X'X) =	-1,43545846	0,48059182	-0,30865687
	0,75428951	-0,30865687	0,26477025
	4,71068151	-1,43545846	0,75428951
	[Cof(X'X)]' =	-1,43545846	0,48059182	-0,30865687
	0,75428951	-0,30865687	0,26477025
	883,87829540	-269,33906996	141,52944120
	Inv(X'X) =	-269,33906996	90,17478220	-57,91414835
	141,52944120	-57,91414835	49,67957987
	883,87829540	-269,33906996	141,52944120	26,61293019
	-269,33906996	90,17478220	-57,91414835	*	122,46139510
	141,52944120	-57,91414835	49,67957987	66,93684896
	12,48793902
	β	-1,56283651
	-0,33973088
	4,70048037
	4,60517019
	4,38202663
	(Y'Y)	4,70048037	4,60517019	4,38202663	4,44265126	4,24849524	4,23410650	4,44265126	=	118,21878544
	4,24849524
	26,61293019	4,23410650
	β'(X'Y)	12,48793902	-1,56283651	-0,33973088	122,46139510	=	118,21299515
	66,93684896
	σ2	0,00193010
	883,87829540	-269,33906996	141,52944120	1,70597024	-0,51985034	0,27316545
	VAR-COV=	0,00193010	-269,33906996	90,17478220	-57,91414835	=	-0,51985034	0,17404601	-0,11177988
	141,52944120	-57,91414835	49,67957987	0,27316545	-0,11177988	0,09588637
	Var(β1)	1,70597024	Ep(β1)	1,30612796
	Var(β2)	0,17404601	Ep(β2)	0,41718822
	Var(β3)	0,09588637	Ep(β3)	0,30965525
	0,96736822	0,94561369
	44,4674538965
	t(β1)	9,5610380068
	t(β2)	-3,7461184767
	t(β3)	-1,0971261658
&A
LinearLog(Pcarne; Pfrango)
	Demanda	Pcarne	Pfrango	Renda
	110	90	10	120
	100	90	12	110
	80	100	12	100
	85	100	13	100
	70	110	14	90
	69	112	14	90
	Definindo a matriz
	Y	X	β	U
	110	1	4,49980967	2,30258509	U
	100	1	4,49980967	2,48490665	U
	80	=	1	4,60517019
2,48490665	β1	U
	85	1	4,60517019	2,56494936	β2	+	U
	70	1	4,70048037	2,63905733	β3	U
	69	1	4,71849887	2,63905733	U
	Matriz X'X
	1	4,49980967	2,30258509
	1	1	1	1	1	1	1	4,49980967	2,48490665
	4,49980967	4,49980967	4,60517019	4,60517019	4,70048037	4,71849887	1	4,60517019	2,48490665
	2,30258509	2,48490665	2,48490665	2,56494936	2,63905733	2,63905733	1	4,60517019	2,56494936
	1	4,70048037	2,63905733
	1	4,71849887	2,63905733
	6,00000000	27,62893895	15,11546241
	=	27,62893895	127,27050629	69,65547416
	15,11546241	69,65547416	38,15963261
	Matriz X'Y
	110
	1	1	1	1	1	1	100	514,00000000
	4,49980967	4,49980967	4,60517019	4,60517019	4,70048037	4,71849887	80	=	2359,42315918
	2,30258509	2,48490665	2,48490665	2,56494936	2,63905733	2,63905733	85	1285,41722139
	70
	69
	Det(X'X)=	0,005329559
	Cof(X'X)
	C11	127,27050629	69,65547416	C21	27,62893895	15,11546241	C31	27,62893895	15,11546241
	69,65547416	38,15963261	69,65547416	38,15963261	127,27050629	69,65547416
	4,71068151	-1,43545846	0,75428951
	C12	27,62893895	69,65547416	C22	6,00000000	15,11546241	C32	6,00000000	15,11546241
	15,11546241	38,15963261	15,11546241	38,15963261	27,62893895	69,65547416
	-1,43545846	0,48059182	-0,30865687
	C13	27,62893895	127,27050629	C23	6,00000000	27,62893895	C33	6,00000000	27,62893895
	15,11546241	69,65547416	15,11546241	69,65547416	27,62893895	127,27050629
	0,75428951	-0,30865687	0,26477025
	4,71068151	-1,43545846	0,75428951
	Cof(X'X) =	-1,43545846	0,48059182	-0,30865687
	0,75428951	-0,30865687	0,26477025
	4,71068151	-1,43545846	0,75428951
	[Cof(X'X)]' =	-1,43545846	0,48059182	-0,30865687
	0,75428951	-0,30865687	0,26477025
	883,87829540	-269,33906996	141,52944120
	Inv(X'X) =	-269,33906996	90,17478220	-57,91414835
	141,52944120	-57,91414835	49,67957987
	883,87829540	-269,33906996	141,52944120	514,00000000
	-269,33906996	90,17478220	-57,91414835	*	2359,42315918
	141,52944120	-57,91414835	49,67957987	1285,41722139
	752,98555506
	β	-123,65612236
	-38,86258051
	110
	100
	80
	(Y'Y)	110	100	80	85	70	69	85	=	45386,00000000
	70
	514,00000000	69
	β'(X'Y)	752,98555506	-123,65612236	-38,86258051	2359,42315918	=	45322,82616693
	1285,41722139
	σ2	21,05794436
	883,87829540	-269,33906996	141,52944120	18612,65996320	-5671,72714847	2980,31909775
	VAR-COV=	21,05794436	-269,33906996	90,17478220	-57,91414835	=	-5671,72714847	1898,89554598	-1219,55291357
	141,52944120	-57,91414835	49,67957987	2980,31909776	-1219,55291357	1046,14982858
	Var(β1)	18612,65996320	Ep(β1)	136,42822275
	Var(β2)	1898,89554598	Ep(β2)	43,57631864
	Var(β3)	1046,14982858	Ep(β3)	32,34423950
	0,95331983	0,92219971
	30,63355754
	t(β1)	5,51927995
	t(β2)	-2,83769089
	t(β3)	-1,20153020
	emag1	-26,8536093815
	emag2	-49,0846203771
	elast	-1,4434566813
&A
LogLinear(Pcarne; PFrango)
	Demanda	Pcarne	Pfrango	Renda
	110	90	10	120
	100	90	12	110
	80	100	12	100
	85	100	13	100
	70	110	14	90
	69	112	14	90
	Definindo a matriz
	Y	X	β	U
	4,70048037	1	90	10	U
	4,60517019	1	90	12	U
	4,38202663	=	1	100	12	β1	U
	4,44265126	1	100	13	β2	+	U
	4,24849524	1	110	14	β3	U
	4,23410650	1	112	14	U
	Matriz X'X
	1	90	10
	1	1	1	1	1	1	1	90	12
	90	90	100	100	110	112	1	100	12
	10	12	12	13	14	14	1	100	13
	1	110	14
	1	112	14
	6	602	75
	=	602	60844	7588
	75	7588	949
	Matriz X'Y
	4,70048037
	1	1	1	1	1	1	4,60517019	26,61293019
	90	90	100	100	110	112	4,38202663	=	2661,53074392
	10	12	12	13	14	14	4,44265126	331,36205629
	4,24849524
	4,23410650
	Det(X'X)=	6776,00000000
	Cof(X'X)
	C11	60844	7588	C21	602	75	C31	602	75
	7588	949	7588	949	60844	7588
	163212	-2198	4676
	C12	602	7588	C22	6	75	C32	6	75
	75	949	75	949	602	7588
	-2198	69	-378
	C13	602	60844	C23	6	602	C33	6	602
	75	7588	75	7588	602	60844
	4676	-378	2660
	163212	-2198	4676
	Cof(X'X) =	-2198	69	-378
	4676	-378	2660
	163212	-2198	4676
	[Cof(X'X)]' =	-2198	69	-378
	4676	-378	2660
	24,08677686	-0,32438017	0,69008264
	Inv(X'X) =	-0,32438017	0,01018300	-0,05578512
	0,69008264	-0,05578512	0,39256198
	24,08677686	-0,32438017	0,69008264	26,61293019
	-0,32438017	0,01018300	-0,05578512	*	2661,53074392
	0,69008264	-0,05578512	0,39256198	331,36205629
	6,33913256
	β	-0,01541566
	-0,02855518
	4,70048037
	4,60517019
	4,38202663
	(Y'Y)	4,70048037	4,60517019	4,38202663	4,44265126	4,24849524	4,23410650	4,44265126	=	118,21878544
	4,24849524
	26,61293019	4,23410650
	β'(X'Y)	6,33913256	-0,01541566	-0,02855518	2661,53074392	=	118,21153896
	331,36205629
	σ2	0,00241549
	24,08677686	-0,32438017	0,69008264	0,05818142	-0,00078354	0,00166689
	VAR-COV=	0,00241549	-0,32438017	0,01018300	-0,05578512	=	-0,00078354	0,00002460	-0,00013475
	0,69008264	-0,05578512	0,39256198	0,00166689	-0,00013475	0,00094823
	Var(β1)	0,05818142	Ep(β1)	0,24120824
	Var(β2)	0,00002460	Ep(β2)	0,00495953
	Var(β3)	0,00094823	Ep(β3)	0,03079335
	0,95916172	0,93193620
	35,23024503
	t(β1)	26,28074587
	t(β2)	-3,10828939
	t(β3)	-0,92731646
&A
LogLinear(Prova)
	QD	P	POB	Y
	15	2	24	25
	12	3	17	18
	10	4	16	17
	10	4	16	17
	8	4,5	11	12
	7	5	10	10
	Definindo a matriz
	Y	X	β	U
	2,70805020	1	0,69314718	25	U
	2,48490665	1	1,09861229	18	U
	2,30258509	=	1	1,38629436	17	β1	U
	2,30258509	1	1,38629436	17	β2	+	U
	2,07944154	1	1,50407740	12	β3	U
	1,94591015	1	1,60943791	10	U
	Matriz X'X
	1	0,6931471806	25
	1	1	1	1	1	1	1	1,0986122887	18
	0,6931471806	1,0986122887	1,3862943611	1,3862943611	1,5040773968	1,6094379124	1	1,3862943611	17
	25	18	17	17	12	10	1	1,3862943611	17
	1	1,5040773968	12
	1	1,6094379124	10
	6	7,6778635007	99
	=	7,6778635007	10,3835652955	118,3810168738
	99	118,3810168738	1771
	Matriz X'Y
	2,70805020
	1	1	1	1	1	1	2,48490665	13,82347873
	0,6931471806	1,0986122887	1,3862943611	1,3862943611	1,5040773968	1,6094379124	2,30258509	=	17,25061039
	25	18	17	17	12	10	2,30258509	235,12986788
	2,07944154
	1,94591015
	Det(X'X)=	47,16134785
	Cof(X'X)
	C11	10,3835652955	118,3810168738	C21	7,6778635007	99	C31	7,6778635007	99
	118,3810168738	1771	118,3810168738	1771	10,3835652955	118,3810168738
	4375,2289823541	-1877,7755891992	-119,0596756313
	C12	7,6778635007	118,3810168738	C22	6	99	C32	6	99
	99	1771	99	1771	7,6778635007	118,3810168738
	-1877,7755891992	825	49,8223853246
	C13	7,6778635007	10,3835652955	C23	6	7,6778635007	C33	6	7,6778635007
	99	118,3810168738	99	118,3810168738	7,6778635007	10,3835652955
	-119,0596756313	49,8223853246	3,3518038383
	4375,2289823541	-1877,7755891992	-119,0596756313
	Cof(X'X) =	-1877,7755891992	825	49,8223853246
	-119,0596756313	49,8223853246	3,3518038383
	4375,2289823541	-1877,7755891992	-119,0596756313
	[Cof(X'X)]' =	-1877,7755891992	825	49,8223853246
	-119,0596756313	49,8223853246	3,3518038383
	92,77150000	-39,81598649	-2,52451809
	Inv(X'X) =	-39,81598649	17,49313871	1,05642412
	-2,52451809	1,05642412	0,07107099
	92,77150000	-39,81598649	-2,52451809	13,82347873
	-39,81598649	17,49313871	1,05642412	*	17,25061039
	-2,52451809	1,05642412	0,07107099	235,12986788
	1,98518225
	β	-0,23125844
	0,03725208
	2,70805020
	2,48490665
	2,30258509
	(Y'Y)	2,70805020	2,48490665	2,30258509	2,30258509	2,07944154	1,94591015	2,30258509	=	32,22273660
	2,07944154
	13,82347873	1,94591015
	β'(X'Y)	1,98518225	-0,23125844	0,03725208	17,25061039	=	32,21185210
	235,12986788
	σ2	0,00362817
	92,77150000	-39,81598649	-2,52451809	0,33659047	-0,14445904	-0,00915937
	VAR-COV=	0,00362817	-39,81598649	17,49313871	1,05642412	=	-0,14445904	0,06346802	0,00383288
	-2,52451809	1,05642412	0,07107099	-0,00915937	0,00383288	0,00025786
	Var(β1)	0,33659047	Ep(β1)	0,58016418
	Var(β2)	0,06346802	Ep(β2)	0,25192861
	Var(β3)	0,00025786	Ep(β3)	0,01605794
	0,97094698	0,95157829
	50,12973599
	t(β1)	3,42175945
	t(β2)	-0,91795227
	t(β3)	2,31985435
&A
LogLinear(P,YTrabalho)
	QD	P	POB	Y
	16	3	25	26
	13	4	18	19
	11	5	17	18
	11	5	17	18
	9	5,5	12	13
	8	6	11	11
	Definindo a matriz
	Y	X	β	U
2,77258872	1	3	26	U
	2,56494936	1	4	19	U
	2,39789527	=	1	5	18	β1	U
	2,39789527	1	5	18	β2	+	U
	2,19722458	1	5,5	13	β3	U
	2,07944154	1	6	11	U
	Matriz X'X
	1	3	26
	1	1	1	1	1	1	1	4	19
	3	4	5	5	5,5	6	1	5	18
	26	19	18	18	13	11	1	5	18
	1	5,5	13
	1	6	11
	6	28,5	105
	=	28,5	141,25	471,5
	105	471,5	1975
	Matriz X'Y
	2,77258872
	1	1	1	1	1	1	2,56494936	14,40999474
	3	4	5	5	5,5	6	2,39789527	=	67,11790075
	26	19	18	18	13	11	2,39789527	258,58335085
	2,19722458
	2,07944154
	Det(X'X)=	391,5
	Cof(X'X)
	C11	141,25	471,5	C21	28,5	105	C31	28,5	105
	471,5	1975	471,5	1975	141,25	471,5
	56656,5	-6780	-1393,5
	C12	28,5	471,5	C22	6	105	C32	6	105
	105	1975	105	1975	28,5	471,5
	-6780	825	163,5
	C13	28,5	141,25	C23	6	28,5	C33	6	28,5
	105	471,5	105	471,5	28,5	141,25
	-1393,5	163,5	35,25
	56656,5	-6780	-1393,5
	Cof(X'X) =	-6780	825	163,5
	-1393,5	163,5	35,25
	56656,5	-6780	-1393,5
	[Cof(X'X)]' =	-6780	825	163,5
	-1393,5	163,5	35,25
	144,71647510	-17,31800766	-3,55938697
	Inv(X'X) =	-17,31800766	2,10727969	0,41762452
	-3,55938697	0,41762452	0,09003831
	144,71647510	-17,31800766	-3,55938697	14,40999474
	-17,31800766	2,10727969	0,41762452	*	67,11790075
	-3,55938697	0,41762452	0,09003831	258,58335085
	2,61711553
	β	-0,12546203
	0,02174256
	2,77258872
	2,56494936
	2,39789527
	(Y'Y)	2,77258872	2,56494936	2,39789527	2,39789527	2,19722458	2,07944154	2,39789527	=	34,91788988
	2,19722458
	14,40999474	2,07944154
	β'(X'Y)	2,61711553	-0,12546203	0,02174256	67,11790075	=	34,91413849
	258,58335085
	σ2	0,00125046
	144,71647510	-17,31800766	-3,55938697	0,18096260	-0,02165553	-0,00445088
	VAR-COV=	0,00125046	-17,31800766	2,10727969	0,41762452	=	-0,02165553	0,00263508	0,00052222
	-3,55938697	0,41762452	0,09003831	-0,00445088	0,00052222	0,00011259
	Var(β1)	0,18096260	Ep(β1)	0,42539699
	Var(β2)	0,00263508	Ep(β2)	0,05133299
	Var(β3)	0,00011259	Ep(β3)	0,01061082
	0,98789478	0,97982463
	34,60799142
	122,41348064
	t(β1)	6,15217213
	t(β2)	-2,44408201
	t(β3)	2,04909297
	Emga	-0,30131785
	E1	-0,59594462
	E2	-2,19558545
&A
Neia LinearLog(P,POB)
	QD	P	POB	Y
	16	3	25	26
	13	4	18	19
	11	5	17	18
	11	5	17	18
	9	5,5	12	13
	8	6	11	11
	Definindo a matriz
	Y	X	β	U
	16,00000000	1	1,09861229	3,21887582	U
	13,00000000	1	1,38629436	2,89037176	U
	11,00000000	=	1	1,60943791	2,83321334	β1	U
	11,00000000	1	1,60943791	2,83321334	β2	+	U
	9,00000000	1	1,70474809	2,48490665	β3	U
	8,00000000	1	1,79175947	2,39789527	U
	Matriz X'X
	1	1,0986122887	3,2188758249
	1	1	1	1	1	1	1	1,3862943611	2,8903717579
	1,09861229	1,38629436	1,60943791	1,60943791	1,70474809	1,79175947	1	1,6094379124	2,8332133441
	3,21887582	2,89037176	2,83321334	2,83321334	2,48490665	2,39789527	1	1,6094379124	2,8332133441
	1	1,7047480922	2,4849066498
	1	1,7917594692	2,3978952728
	6	9,2002900361	16,6584761935
	=	9,2002900361	14,425909858	25,1955559782
	16,6584761935	25,1955559782	46,6942689781
	Matriz X'Y
	16,00000000
	1	1	1	1	1	1	13,00000000	68,00000000
	1,0986122887	1,3862943611	1,6094379124	1,6094379124	1,7047480922	1,7917594692	11,00000000	=	100,68406597
	3,2188758249	2,8903717579	2,8332133441	2,8332133441	2,4849066498	2,3978952728	11,00000000	192,95486165
	9,00000000
	8,00000000
	Det(X'X)=	0,11941864
	Cof(X'X)
	C11	14,425909858	25,1955559782	C21	9,2002900361	16,6584761935	C31	9,2002900361	16,6584761935
	25,1955559782	46,6942689781	25,1955559782	46,6942689781	14,425909858	25,1955559782
	38,7912741153	-9,8812481802	-8,5072533182
	C12	9,2002900361	25,1955559782	C22	6	16,6584761935	C32	6	16,6584761935
	16,6584761935	46,6942689781	16,6584761935	46,6942689781	9,2002900361	25,1955559782
	-9,8812481802	2,6607847805	2,0894766708
	C13	9,2002900361	14,425909858	C23	6	9,2002900361	C33	6	9,2002900361
	16,6584761935	25,1955559782	16,6584761935	25,1955559782	9,2002900361	14,425909858
	-8,5072533182	2,0894766708	1,9101223993
	38,7912741153	-9,8812481802	-8,5072533182
	Cof(X'X) =	-9,8812481802	2,6607847805	2,0894766708
	-8,5072533182	2,0894766708	1,9101223993
	38,7912741153	-9,8812481802	-8,5072533182
	[Cof(X'X)]' =	-9,8812481802	2,6607847805	2,0894766708
	-8,5072533182	2,0894766708	1,9101223993
	324,83432666	-82,74460358	-71,23890531
	Inv(X'X) =	-82,74460358	22,28115091	17,49707281
	-71,23890531	17,49707281	15,99517772
	324,83432666	-82,74460358	-71,23890531	68,00000000
	-82,74460358	22,28115091	17,49707281	*	100,68406597
	-71,23890531	17,49707281	15,99517772	192,95486165
	11,77796976
	β	-7,13091303
	3,77817567
	16,00000000
	13,00000000
	11,00000000
	(Y'Y)	16,00000000	13,00000000	11,00000000	11,00000000	9,00000000	8,00000000	11,00000000	=	812,00000000
	9,00000000
	68,00000000	8,00000000
	β'(X'Y)	11,77796976	-7,13091303	3,77817567	100,68406597	=	811,94999041
	192,95486165
	σ2	0,01666986
	324,83432666	-82,74460358	-71,23890531	5,41494433	-1,37934136	-1,18754293
	VAR-COV=	0,01666986	-82,74460358	22,28115091	17,49707281	=	-1,37934136	0,37142377	0,29167384
	-71,23890531	17,49707281	15,99517772	-1,18754293	0,29167384	0,26663745
	Var(β1)	5,41494433	Ep(β1)	2,32700329
	Var(β2)	0,37142377	Ep(β2)	0,60944547
	Var(β3)	0,26663745	Ep(β3)	0,51636949
	0,99879009	0,99798348
	1238,26209917
	t(β1)	5,06143235
	t(β2)	-11,70065812
	t(β3)	7,31680655
&A
Joseane LogLinear(P,POB)
	QD	P	POB	Y
	16	3	25	26
	13	4	18	19
	11	5	17	18
	11	5	17	18
	9	5,5	12	13
	8	6	11	11
	Definindo a matriz
	Y	X	β	U
	2,77258872	1	3	25	U
	2,56494936	1	4	18	U
	2,39789527	=	1	5	17	β1	U
	2,39789527	1	5	17	β2	+	U
	2,19722458	1	5,5	12	β3	U
	2,07944154	1	6	11	U
	Matriz X'X
	1	3	25
	1	1	1	1	1	1	1	4	18
	3	4	5	5	5,5	6	1	5	17
	25	18	17	17	12	11	1	5	17
	1	5,5	12
	1	6	11
	6	28,5	100
	=	28,5	141,25	449
	100	449	1792
	Matriz X'Y
	2,77258872
	1	1	1	1	1	1	2,56494936	14,40999474
	3	4	5	5	5,5	6	2,39789527	=	67,11790075
	25	18	17	17	12	11	2,39789527	246,25279765
	2,19722458
	2,07944154
	Det(X'X)=	362,00000000
	Cof(X'X)
	C11	141,25	449	C21	28,5	100	C31	28,5	100
	449	1792	449	1792	141,25	449
	51519	-6172	-1328,5
	C12	28,5	449	C22	6	100	C32	6	100
	100	1792	100	1792	28,5	449
	-6172	752	156
	C13	28,5	141,25	C23	6	28,5	C33	6	28,5
	100	449	100	449	28,5	141,25
	-1328,5	156	35,25
	51519	-6172	-1328,5
	Cof(X'X) =	-6172	752	156
	-1328,5	156	35,25
	51519	-6172	-1328,5
	[Cof(X'X)]' =	-6172	752	156
	-1328,5	156	35,25
	142,31767956	-17,04972376	-3,66988950
	Inv(X'X) =	-17,04972376	2,07734807	0,43093923
	-3,66988950	0,43093923	0,09737569
	142,31767956	-17,04972376	-3,66988950	14,40999474
	-17,04972376	2,07734807	0,43093923	*	67,11790075
	-3,66988950	0,43093923	0,09737569	246,25279765
	2,73479039
	β	-0,13919824
	0,01968402
	2,77258872
	2,56494936
	2,39789527
	(Y'Y)	2,77258872	2,56494936	2,39789527	2,39789527	2,19722458	2,07944154	2,39789527	=	34,91788988
	2,19722458
	14,40999474	2,07944154
	β'(X'Y)	2,73479039	-0,13919824	0,01968402	67,11790075	=	34,91286710
	246,25279765
	σ2	0,00167426
	142,31767956	-17,04972376	-3,66988950	0,23827685	-0,02854568	-0,00614435
	VAR-COV=	0,00167426	-17,04972376	2,07734807	0,43093923	=	-0,02854568	0,00347802	0,00072150
	-3,66988950	0,43093923	0,09737569	-0,00614435	0,00072150	0,00016303
	Var(β1)	0,23827685	Ep(β1)	0,48813609
	Var(β2)	0,00347802	Ep(β2)	0,05897475
	Var(β3)	0,00016303	Ep(β3)	0,01276841
	0,98379217	0,97298695
	91,04786913
	t(β1)	5,60251623
	t(β2)	-2,36030228
	t(β3)	1,54161916
&A
LogLinear(P,YTrabalho) (2)
	QD	P	POB	Y
	16	3	25	26
	13	4	18	19
	11	5	17	18
	11	5	17	18
	9	5,5	12	13
	8	6	11	11
	Definindo a matriz
	Y	X	β	U
	16,00000000	1	3	26	U
	13,00000000	1	4	19	U
	11,00000000	=	1	5	18	β1	U
	11,00000000	1	5	18	β2	+	U
	9,00000000	1	5,5	13	β3	U
	8,00000000	1	6	11	U
	Matriz X'X
	1	3	26
	1	1	1	1	1	1	1	4	19
	3	4	5	5	5,5	6	1	5	18
	26	19	18	18	13	11	1	5	18
	1	5,5	13
	1	6	11
	6	28,5	105
	=	28,5	141,25	471,5
	105	471,5	1975
	Matriz X'Y
	16,00000000
1	1	1	1	1	1	13,00000000	68,00000000
	3	4	5	5	5,5	6	11,00000000	=	307,50000000
	26	19	18	18	13	11	11,00000000	1264,00000000
	9,00000000
	8,00000000
	Det(X'X)=	391,5
	Cof(X'X)
	C11	141,25	471,5	C21	28,5	105	C31	28,5	105
	471,5	1975	471,5	1975	141,25	471,5
	56656,5	-6780	-1393,5
	C12	28,5	471,5	C22	6	105	C32	6	105
	105	1975	105	1975	28,5	471,5
	-6780	825	163,5
	C13	28,5	141,25	C23	6	28,5	C33	6	28,5
	105	471,5	105	471,5	28,5	141,25
	-1393,5	163,5	35,25
	56656,5	-6780	-1393,5
	Cof(X'X) =	-6780	825	163,5
	-1393,5	163,5	35,25
	56656,5	-6780	-1393,5
	[Cof(X'X)]' =	-6780	825	163,5
	-1393,5	163,5	35,25
	144,71647510	-17,31800766	-3,55938697
	Inv(X'X) =	-17,31800766	2,10727969	0,41762452
	-3,55938697	0,41762452	0,09003831
	144,71647510	-17,31800766	-3,55938697	68,00000000
	-17,31800766	2,10727969	0,41762452	*	307,50000000
	-3,55938697	0,41762452	0,09003831	1264,00000000
	16,36781609	16,36781609	13,00000000
	β	-1,75862069	-7,03448276	-7,03448276
	0,18965517	3,41379310
	5,96551724
	12,74712644	31,45454545
	16,00000000
	13,00000000
	11,00000000
	(Y'Y)	16,00000000	13,00000000	11,00000000	11,00000000	9,00000000	8,00000000	11,00000000	=	812,00000000
	9,00000000
	68,00000000	8,00000000
	β'(X'Y)	16,36781609	-1,75862069	0,18965517	307,50000000	=	811,95977012
	1264,00000000
	σ2	0,01340996
	144,71647510	-17,31800766	-3,55938697	1,94064238	-0,23223382	-0,04773124
	VAR-COV=	0,01340996	-17,31800766	2,10727969	0,41762452	=	-0,23223382	0,02825854	0,00560033
	-3,55938697	0,41762452	0,09003831	-0,04773124	0,00560033	0,00120741
	Var(β1)	1,94064238	Ep(β1)	1,39306941
	Var(β2)	0,02825854	Ep(β2)	0,16810277
	Var(β3)	0,00120741	Ep(β3)	0,03474781
	0,99902670	0,99837783
	770,66666667
	1539,64286360
	t(β1)	11,74946201
	t(β2)	-10,46158094
	t(β3)	5,45804669
	Emga	-19,93103448
	E1	-8,35344828
	E2	-30,77586207
&A