1. Consider that n subjects give data, (y, X1X12),..., (ynxnxn2), which are statistically independent and satisfy...

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1. Consider that n subjects give data, (y₁, X₁1X12),..., (ynxnxn2), which are statistically independent and satisfy the model Yi = Bo + Bı(Xıi − x ) +Bz (Xzi – Xz)+& - ,i=1,…n where x₁ and x₂ are non-random; x is the sample mean of xk, k = 1,2; &'s are normally distributed random errors with mean zero and variance o² (its value is unknown). a) Construct test for Ho: a₁₁ + a₂ß₂ = C₁ and b₁B₁ + b₂ß₂ = C₂, at α = 0.05, where all a's, b's, c's are given positive real numbers. b) Delete the intercept coefficient Po from the model. Construct test for significance of the regressor x₁. 1. Consider that n subjects give data, (y₁, X₁1X12),..., (ynxnxn2), which are statistically independent and satisfy the model Yi = Bo + Bı(Xıi − x ) +Bz (Xzi – Xz)+& - ,i=1,…n where x₁ and x₂ are non-random; x is the sample mean of xk, k = 1,2; &'s are normally distributed random errors with mean zero and variance o² (its value is unknown). a) Construct test for Ho: a₁₁ + a₂ß₂ = C₁ and b₁B₁ + b₂ß₂ = C₂, at α = 0.05, where all a's, b's, c's are given positive real numbers. b) Delete the intercept coefficient Po from the model. Construct test for significance of the regressor x₁.

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Binomial Distribution A binomial distribution is a common probability distribution that occurs in pr... View the full answer