Answer....

(5] Suppose we have a new data point z = 0.5 and the aim is to predict the corresponding y outcome. Find the 95% condence interval {a = 0.05] for a + in: {assume a is known with a- : 0.8}. O (2.17, 3.29) O (1.93, 3.53) O (1.83, 3.63) O (1.62, 3.84) Below is a data set of sample size n = 5 : 2:1 2 1.] 3:2 2 0.3 m3 = 1 {c4 = 0.75 m5 = 1.8 91:41.5 92:2 393:5 34:2.4 95:4.8 Using the simple linear model 3; = a + bx + as. where e is a standard normal random variable. (1} New test the hypithesis Ho : b : 0 with 0' unknown and find the value of the t-statistic {you are given that items 2 3.18}. O t= 2.26. reject Ho 0 t = 2.26, do not reject Ho O t = 2.53. relect Hu 0 t = 2.53. do not reject Ho (2) Compute the variance of the first residual; Le. a; = y; f\