The table below gives data on weekly family consumption expenditure (Y) (in tens of dollars) and weekly family income (X) (in tens of dollars) ΣΥΧΕ i 1 2 3 4 X₂ 4.0 10.0 70.0 100.0 12.0 96.0 144.0 0.8 -0.8 X² Y₁ 5.0 7.0 8.0 11.0 14.0 154.0 196.0 2.8 X₁ 3₁ -1.2 -1.8 1.4 0.6 0.6 4.8 7.8 23.0 17.6 4.2 20.2 5 13.0 16.0 208.0 256.0 4.8 Tot. 44.0 56.0 548.0 712.0 0.0 0.0 84.8 40.8 55.2 Avg. 8.8 11.2 000000O .IN alo y? | Συκι Ÿ₂ e₂ 2.2 3.2 2.2 8.0 -1.0 1.0 -0.6 9.3 -1.3 1.7 6.2 10.6 0.4 0.1 1.2 4.9 0.0 11.9 1.1 44.0 0.0 8.8 Σe,x₁ 1. Calculate the OLS estimates of B (b)(intercept) and ₁ (b₁) (slope coefficient). 2. Fill in the blanks in calculations and predictions for the first observation 1.2 -1.1 1.1 5.2 vile
The table below gives data on weekly family consumption expenditure (Y) (in tens of dollars) and weekly family income (X) (in tens of dollars) ΣΥΧΕ i 1 2 3 4 X₂ 4.0 10.0 70.0 100.0 12.0 96.0 144.0 0.8 -0.8 X² Y₁ 5.0 7.0 8.0 11.0 14.0 154.0 196.0 2.8 X₁ 3₁ -1.2 -1.8 1.4 0.6 0.6 4.8 7.8 23.0 17.6 4.2 20.2 5 13.0 16.0 208.0 256.0 4.8 Tot. 44.0 56.0 548.0 712.0 0.0 0.0 84.8 40.8 55.2 Avg. 8.8 11.2 000000O .IN alo y? | Συκι Ÿ₂ e₂ 2.2 3.2 2.2 8.0 -1.0 1.0 -0.6 9.3 -1.3 1.7 6.2 10.6 0.4 0.1 1.2 4.9 0.0 11.9 1.1 44.0 0.0 8.8 Σe,x₁ 1. Calculate the OLS estimates of B (b)(intercept) and ₁ (b₁) (slope coefficient). 2. Fill in the blanks in calculations and predictions for the first observation 1.2 -1.1 1.1 5.2 vile
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:The table below gives data on weekly family consumption expenditure (Y) (in tens of dollars) and weekly
family income (X) (in tens of dollars)
ΣΥΧ | x
i
1
2
X₂
4.0
10.0
70.0
12.0 96.0
2.2 7.8 4.8
100.0 -1.2 -1.8 1.4
3.2
144.0 0.8 -0.8 0.6 0.6
14.0 154.0 196.0 2.8
13.0 16.0 208.0 256.0 4.8
Tot. 44.0 56.0 548.0 712.0 0.0
8.8 11.2
5
Avg.
3
4
1.
2.
Y₁
5.0
7.0
8.0
11.0
X₁ 3₁
y? Σyixi Y₁
28
4.2 23.0 17.6
0.0 84.8
e e² Ee₁x₁
2.2 8.0 -1.0 1.0
9.3 -1.3
-0.6
6.2
10.6
0.4
20.2 11.9 1.1 1.2
4.9
40.8 55.2 44.0 0.0
8.8
Calculate the OLS estimates of B (b)(intercept) and ₁ (b₁) (slope coefficient).
Fill in the blanks in calculations and predictions for the first observation
1.2
1.7 -1.1
0.1
1.1
5.2
0.0
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