Show that the estimates βˆ 1 = 1.572 and βˆ 2 = 1.357 used in the first experiment of Table 3.1 are in fact the OLS estimators. note:table 3.1 is uploaded in jpg

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.2: Arithmetic Sequences
Problem 68E
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Show that the estimates βˆ
1 = 1.572 and βˆ
2 = 1.357 used in the first experiment of
Table 3.1 are in fact the OLS estimators.

note:table 3.1 is uploaded in jpg

Y21
(6)
(1)
(2)
(3)
(4)
(5)
(7)
(8)
1.147
0.
1.071
-2.000
4
1
2.929
4.000
-2
4.
4
7.000
1.841
-1
-1.357
2.286
5
8.357
6.
6.
9.714.
5.226
12
14
0.0
12.214
Sum: 28
16
Transcribed Image Text:Y21 (6) (1) (2) (3) (4) (5) (7) (8) 1.147 0. 1.071 -2.000 4 1 2.929 4.000 -2 4. 4 7.000 1.841 -1 -1.357 2.286 5 8.357 6. 6. 9.714. 5.226 12 14 0.0 12.214 Sum: 28 16
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