Question: The questions are complete no missing graph or data, thanks. 2. Consider a simple regression model. Suppose B, = 10 and se (B, ) =

The questions are complete no missing graph or data, thanks.

2. Consider a simple regression model. Suppose B, = 10 and se (B, ) = 2 are based on a random sample of size 250 from the population. (a) What is the difference between se (B1 ) and sd (B1 )? Write down both "formulas". (b) Construct a 95% confidence interval for B1. Explain this confidence interval in details. (c) Construct a 99% confidence interval for B1 . (d) Can you reject Ho: B1 = 8 against a 2-sided alternative at the 5% significance level? [Please use the confidence interval approach to solve this question.] [Difficulty Level: 2.0] 3. Consider a multiple regression model, y = Bo + BIX1 + 2x2 + u. Suppose B1 = 18 and se( B1) = 2 are based on a sample of size 300 from the population. (a) Can you reject Ho: 1 = 10.00 against the alternative Ho: B, > 10.00 at the 5% significance level? Use the t-statistic to solve this question and show the rejection region. (b) What is the p-value for your answer (a)? Does it smaller than the 5% significance level [Difficulty Level: 3.0]

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