Class Problem Estimate the coefficients for the model y₁ = bo + b₁x₁ + εi. x² 1 9 25 b₁ x иышн 1 3 5 6 17 = y 3 7 11 3 12 36 xy 3 21 55 6 bo = y − b x 72 157 36 75 Σ=1(x − x)(; –y) Σ=1(x; − x)2 Question 1 What do you calculate for b₁? Question 2 What do you calculate for bo? Question 3 If I had an X of 10, what would you nExy-[(Σx)(Σy)] expect Y to be based ηΣx2 – (Σx)2 on the results of your regression?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 22E
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Class Problem
Estimate the coefficients for the model y₁ = bo + b₁x₁ + εi.
x²
1
9
25
4
36
75
b₁
X
3
♡ L
5
2
ON
17
=
y
3
7
11
3
12
36
xy
3
21
55
6
72
157
Ei-1 (xix) (yi - y)
Σ-₁(x₁ - x)²
i=1
bo = y − b x
Question 1
What do you calculate for b₁?
Question 2
What do you calculate for bo?
Question 3
If I had an X of 10,
what would you
n Σxy - [(Σ x)(Σy)] expectYto be based
nΣx² - (Σx)²
on the results of your
regression?
Transcribed Image Text:Class Problem Estimate the coefficients for the model y₁ = bo + b₁x₁ + εi. x² 1 9 25 4 36 75 b₁ X 3 ♡ L 5 2 ON 17 = y 3 7 11 3 12 36 xy 3 21 55 6 72 157 Ei-1 (xix) (yi - y) Σ-₁(x₁ - x)² i=1 bo = y − b x Question 1 What do you calculate for b₁? Question 2 What do you calculate for bo? Question 3 If I had an X of 10, what would you n Σxy - [(Σ x)(Σy)] expectYto be based nΣx² - (Σx)² on the results of your regression?
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