linear regression

Problem 1. Suppose we t n data points with a line by minimizing RSS (least squares), and that we want to estimate the line at a new point, :30. Denoting its value on the line by no, the estimate is: [to = 30 + 31330 (a) Find variance of fig. (13) The standard deviation of fig can be expressed as a function of (390 :E). Find this function and briey explain its shape. (c) Find 95% condence interval for #0 = [30 + {31320 under assumption of normality. (n is large enough)