Question: Yi = BotBIXite;,i =1, ...,n, where & ~ N(0, o'), to the following data using the least squares method. 1 2 3 4 Xi 0

Yi = BotBIXite;,i =1, ...,n, where & ~ N(0, o'), to the following data using the least squares method. 1 2 3 4 Xi 0 1 2 3 -1 0 3 4 (a) Find B1.(b) Find Bo. (c) Find SSE. (d) Find MSE. (c) Find SSTO. (f) Find SSR. (g) Find R2. (h) Find rxy. (i) Find SE(81). (j) Construct a 95% confidence interval for B1. (k) Test Ho : B1 = 0 vs. H1 : B, # 0. (1) Find Y when X = 0.5. (m) Construct a 95% confidence interval for the mean response E(Y) = Bo + BIX when X = 0.5. (n) Construct a 95% prediction interval for a new observation Y* = Bo + BIX+e* when X = 0.5

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