4.Calculation (1020'=20') Study the relationship between monthly household consumption expenditure y and monthly household disposable X in the community. Set the measurement model as: Y=B1+B₂X+μ Sample data Xi, Yi, xi, yi, Xiyi, xi, and sample mean value are shown in the following table. Xi Yi Xi yi Xiyi Xi 1 800 638 -1350 -945 1275750 1822500 2 1100 935 -1050 -648 680400 1102500 3 1400 1155 -750 -428 321000 562500 4 1700 1254 -450 -329 148050 202500 5 2000 1408 -150 -175 26250 22500 6 2300 1650 150 67 10050 22500 7 2600 1925 450 342 153900 202500 8 2900 2068 750 485 363750 562500 9 3200 2267 1050 684 718200 1102500 10 3500 2530 1350 947 1278450 1822500 Sum 21500 15830 1 1 49758000 74250000 Mean 2150 1583 1 1 1

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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4.Calculation (1020'=20')
Study the relationship between monthly household consumption
expenditure y and monthly household disposable X in the community. Set the
measurement model as: Y=B1+B₂X+μ
Sample data Xi, Yi, Xiyi Xiyi, xi², and sample mean value are shown in the
following table.
2
Xi
Yi
Xi
Yi
Xiyi
Xi
1
800
638
-1350
-945
1275750
1822500
2
1100
935
-1050
-648
680400
1102500
3
1400
1155
-750
-428
321000
562500
4
1700
1254
-450
-329
148050
202500
5
2000
1408 -150
-175
26250
22500
6
2300 1650
150
67
10050
22500
7
2600
1925
450
342 153900
202500
8
2900
2068
750
485
363750
562500
9
3200 2267
1050
684
718200
1102500
10
3500 2530
1350
947
1278450
1822500
Sum 21500 15830
1
49758000
74250000
Mean 2150 1583
1
1
1
1
Transcribed Image Text:4.Calculation (1020'=20') Study the relationship between monthly household consumption expenditure y and monthly household disposable X in the community. Set the measurement model as: Y=B1+B₂X+μ Sample data Xi, Yi, Xiyi Xiyi, xi², and sample mean value are shown in the following table. 2 Xi Yi Xi Yi Xiyi Xi 1 800 638 -1350 -945 1275750 1822500 2 1100 935 -1050 -648 680400 1102500 3 1400 1155 -750 -428 321000 562500 4 1700 1254 -450 -329 148050 202500 5 2000 1408 -150 -175 26250 22500 6 2300 1650 150 67 10050 22500 7 2600 1925 450 342 153900 202500 8 2900 2068 750 485 363750 562500 9 3200 2267 1050 684 718200 1102500 10 3500 2530 1350 947 1278450 1822500 Sum 21500 15830 1 49758000 74250000 Mean 2150 1583 1 1 1 1
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