Statistics

[10] 10. For the following 11 = 8 data values (0,2), (0,3), (1, 3), (4,4), (9,5), (1, 2), (O, 1), (4, 5) the model yi = 2 + [Bx/x7 + e;- N (0, 0'2). Find a 95% condence interval for m (x) = E (yl x) for a given value of x. For this condence interval, assume the lower limit where {6,} i'' is 1(x) and the upper limit is u(x). Draw an approximate graph for the functions I, u and m in the same (3:, y) coordinate system. Hint: You can use avaialble formulas we found in lectures and assign- ments and you do not need to derive and establish them again