7. For the model Y₁ = ẞo + B₁xi + Єi, i = 1, . . ., n (a). Prove E(Bo) = ßo. (b). Prove Var(30) = 2Σ n (1/1)² = 0² ( 1 + Σ (21-2)²). (1/12 (−x)2 (c). Prove the covariance between Bo and B₁ is Cov(B0, B1) σ²x Σ(;-π)2

MATLAB: An Introduction with Applications
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7.
For the model Y₁ = ẞo + B₁xi + Єi, i = 1, . . ., n
(a). Prove E(Bo) = ßo.
(b). Prove Var(30) =
2Σ
n
(1/1)² = 0² ( 1 + Σ (21-2)²).
(1/12
(−x)2
(c). Prove the covariance between Bo and B₁ is Cov(B0, B1)
σ²x
Σ(;-π)2
Transcribed Image Text:7. For the model Y₁ = ẞo + B₁xi + Єi, i = 1, . . ., n (a). Prove E(Bo) = ßo. (b). Prove Var(30) = 2Σ n (1/1)² = 0² ( 1 + Σ (21-2)²). (1/12 (−x)2 (c). Prove the covariance between Bo and B₁ is Cov(B0, B1) σ²x Σ(;-π)2
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