Question: Question:1 [10 marks] Suppose you are given a data set with 6 observations. The first two columns of this following table represent the given

Question:1 [10 marks] Suppose you are given a data set with 6 observations. The first two columns of this following table represent the given data. (x; ) | (yi ) | (X; )(Yi ) Xi yi 0 3 0.25 16 2.0 0 2 0.25 25 2.5 0 4 0.25 9 1.5 1 11 0.25 16 2.0 1 10 0.25 9 1.5 1 12 0.25 25 2.5 Sum: 3 42 1.5 100 12 Suppose we are fitting this following regression model (Y|X = x) ~ N(3 + Bx,0) a.[4 points] Calculate the maximum likelihood estimate of B1 and B2 and interpret the estimated value of 2. (you do not need to maximize the likelihood function) b.[3 points] Calculate the value of the coefficient of determination and interpret the value. c.[3 points] Test (at a = 0.05) the hypothesis, Ho 32 = 0 vs H. 320. Write your complete conclusion.

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