null and alternative hypothesis

Problem 3: Assume that 'nature' behaves according to the ollowing linear additive model: 1' = Ho + .3137 + a, where e is a Gaussian random variable .N' (0,03). Using this model, nature generates the following training dataset: 5 D = {(93, yi)}5_1 = {(23 _7/2) I (11 _3)){030)t(133)1(21 1(2)} ' Please, answer the questions below without the help of any computer software: a. Compute the estimates of 30 and B; for a linear estimator F = 30 + IX using the data in D. b. Compute the BBB, BBB, T53 and 32 of the linear t. e. Compute the 95% condence intervals for u and 1. (Hint: You can use the RSE as an estimate of the standard deviation of e). :1. Can you reject the null hypothesis Hg : 161 = 0