Question: Could you help on these problems? Please justify with proof/examples. Discuss the following statements: (a) For the linear model yi = Bo+ Bixitei, i=1,2, ...,

Could you help on these problems? Please justify with proof/examples.

Discuss the following statements: (a) For the linear model yi = Bo+ Bixitei, i=1,2, ..., n, a 95% confidence interval for Mp = Bo + 314 is narrower than a 95% prediction interval for Up. (b) For the linear model yi = Bo+ Blitzi, i= 1,2, ...,n, a 99% prediction interval for yp is wider than a 95% prediction interval for yp. (c) For a certain regression situation it is reported that SST = 25, SSR = 30, and SSE = -5. These calculations are correct since SST = SSR + SSE

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