Question: Not sure how to solve this Problem 1. Suppose we t 12 data points with a line by minimizing RSS (least squares), and that we
Not sure how to solve this

Problem 1. Suppose we t 12 data points with a line by minimizing RSS (least squares), and that we want to estimate the line at a new point, 11:0. Denoting its value on the line by M0: the estimate is: t) = 80 + 81350 (a) Find variance of g. (b) The standard deviation of 10 can be expressed as a function of (:30 E). Find this function and briey explain its shape. (c) Find 95% condence interval for M0 = 60 + 61220 under assumption of normality. (n is large enough)
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