b₁ = r ³/2 Sx y=b₁ + b₁x In class, we used the above equations to compute the slope and intercept of a regression line in the case of simple linear regression. Using algebra, show that the regression equations for b and b we used in class are equivalent to the equations below. 0 1 b₁ = ΣΧ Υ – ΣΧ} - ΣΧ. ΣΥ n (ΣΧ.) n - Σ(Χ. – X)(Y, – Υ) Σ(X, - X)² bo - - Σ Υ - " Σ x) = 5 – 6,3

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F4
%
b₁ = r Sy
Sx
ỹ=b₂ +b₁x
In class, we used the above equations to compute the slope and intercept of a regression line in
the case of simple linear regression. Using algebra, show that the regression equations for
b and b we used in class are equivalent to the equations below.
0
1
A
F5
ΣΧ.ΣΥ.
n
(2X)
n
bo = -(Σ Υ - ", Σ. x) = 5 - b
Y-bX
b₁
&
F6
PA
ΣΧ Υ -
ΣΧΕ
*
=
F7
waaaaa.com
MARCAS
F8
(
LL
)
Σ(X; - X)(Y, - )
Σ(Χ, – X)2
DELL
F9
F10
K
+1
F11
094
F12
Backspace
1x
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Transcribed Image Text:F4 % b₁ = r Sy Sx ỹ=b₂ +b₁x In class, we used the above equations to compute the slope and intercept of a regression line in the case of simple linear regression. Using algebra, show that the regression equations for b and b we used in class are equivalent to the equations below. 0 1 A F5 ΣΧ.ΣΥ. n (2X) n bo = -(Σ Υ - ", Σ. x) = 5 - b Y-bX b₁ & F6 PA ΣΧ Υ - ΣΧΕ * = F7 waaaaa.com MARCAS F8 ( LL ) Σ(X; - X)(Y, - ) Σ(Χ, – X)2 DELL F9 F10 K +1 F11 094 F12 Backspace 1x Insert Print Screen Home Scroll Lock PgUp Pause Break
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