In this data set, the following statistics hold: 1(x₁ - x)² = 90 and ₁1(x₁ - x)(Yi − y) = −66 Assume you use this data set to estimate the model y = Bo + Bixi + e and you obtain the follow- ing statistic: SSE = 6.8. Which set of values best represent the standardized residual of the first observation, r₁? You (a) (b) (c) (d) (e) = need the following formulas: hj may r₁ ≤ -2 -2

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Consider the following data set
(a)
(b)
(c)
(d)
(e)
5
=1
=
In this data set, the following statistics hold: Σ½-₁ (ï¿ — ñ)² = 90 and Σ³-1 (Xi — Ñ) (Yi — Y) = −66
i=1 i
Assume you use this data set to estimate the model y Bo + B1x1 e and you obtain the follow-
ing statistic: SSE = 6.8. Which set of values best represent the standardized residual of the first
observation, r₁?
You may need the following formulas: hj
r₁ ≤ −2
-2 <r₁ ≤-1
−1 < r₁ ≤ 0
0 < r₁ ≤ 1
1 < r₁
i
1-3
14
2
0
10
3
3
11
4
6
8
5 9 4
=
X y
+
(x¡—x)²
Σï_1(x;—ñ)², Syi–ŷi
= s√√/1 - hi, ri =
Yi-Yi
Syi-ŷi
Transcribed Image Text:Consider the following data set (a) (b) (c) (d) (e) 5 =1 = In this data set, the following statistics hold: Σ½-₁ (ï¿ — ñ)² = 90 and Σ³-1 (Xi — Ñ) (Yi — Y) = −66 i=1 i Assume you use this data set to estimate the model y Bo + B1x1 e and you obtain the follow- ing statistic: SSE = 6.8. Which set of values best represent the standardized residual of the first observation, r₁? You may need the following formulas: hj r₁ ≤ −2 -2 <r₁ ≤-1 −1 < r₁ ≤ 0 0 < r₁ ≤ 1 1 < r₁ i 1-3 14 2 0 10 3 3 11 4 6 8 5 9 4 = X y + (x¡—x)² Σï_1(x;—ñ)², Syi–ŷi = s√√/1 - hi, ri = Yi-Yi Syi-ŷi
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