Slide 10
Slide 10 text
0 = ⃗
1 ′

e = ⃗
1 ′

(Y − X ̂
β) = n(¯
y − (1,¯
x′

) ̂
β)ʹ͍ͭͯղͯ͠ߟ͑Δɻ
⃗
1 ′

Y =
(
1
⋮
1
)
′

y1
⋮
yn
= ∑ yi
= n¯
y
⃗
1 ′

X =
(
1
⋮
1
)
′

1 , −x′

1
−
⋮ , ⋮
1 , −x′

n
−
= (n, ∑ x′

i) = (n, n ¯
x′

)
0 = ⃗
1 ′

e = ⃗
1 ′

(Y − X ̂
β) = (n¯
y − (n, n ¯
x′

) ̂
β) = n(¯
y − (1, ¯
x′

) ̂
β)
͜ͷΧϯϚྻΛ͚۠͢ΔͨΊͷه߸ɻ
ੵͰͳ͍ɻ
−x′

i
− = (xi,1
⋯ xi,d
)
ԣϕΫτϧ
Ҏ্ΑΓɺ
ͱͳͬͯɺ ¯
y = (1, ¯
x′

) ̂
β ΛಘΔɻ
¯
y
ԣϕΫτϧͨͪͷ
ରԠ͢Δ͝ͱʹΛऔΔ