Let Y₁, Y2, Y3, Y4 ~ N(Bo, o2), Y's independent. Given the vector Y₁x1 = [Y₁, Y2, Y3, Y4] and the orthonormal coordinate system U₁ = [1, 1, 1, 1]ª, U₂ = ½ [1, 1, −1, −1]ª, U3 = [1, −1, 1, −1]ª, and U₁ = [1, −1, −1, 1]ª. Find the constants C₁, C2, C3, C4 for which Y = C₁ U₁ + C₂U2 + C3U3 + C₁U4. The distribution of C₁ is

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[STATISTICS] Which distribution is this?

Let Y₁, Y2, Y3, Y4 ~ N(Bo, o²), Y's independent.
Given the vector Y₁x1 = [Y₁, Y2, Y3, Y₁] and the orthonormal coordinate system U₁ = [1, 1, 1, 1]ª,
U₂ = [1, 1, -1, -1]ª, U3 = [1, −1, 1, −1]ª, and U₁ = [1, −1, −1, 1]ª.
Find the constants C₁, C2, C3, C4 for which Y = C₁ U₁ + C₂U2 + C3U3 + C₁U₁.
The distribution of C₁ is
O T distribution
O Chi-square
F distribution
Normal
Transcribed Image Text:Let Y₁, Y2, Y3, Y4 ~ N(Bo, o²), Y's independent. Given the vector Y₁x1 = [Y₁, Y2, Y3, Y₁] and the orthonormal coordinate system U₁ = [1, 1, 1, 1]ª, U₂ = [1, 1, -1, -1]ª, U3 = [1, −1, 1, −1]ª, and U₁ = [1, −1, −1, 1]ª. Find the constants C₁, C2, C3, C4 for which Y = C₁ U₁ + C₂U2 + C3U3 + C₁U₁. The distribution of C₁ is O T distribution O Chi-square F distribution Normal
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