STATS 401 Study Guide - Midterm Guide: Scatter Plot, Standard Deviation
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Due in lab, wednesday, march 24th: suppose the linear model y = 1 2x + describes a system, where has a normal distribution with mean zero and standard deviation 5/4. Solution: u has a normal distribution with mean 1 2 3 = 5 and standard deviation. P (u < 4) = p (4(u + 5)/5 < 4/5) = 0. 79: suppose we observe the bivariate data ( 1, 1), (1, 2), (4, 5), where each pair has the form (x, y ). Solution: the residuals for y = 1 + x are 1, 0, and 0, so the ssr is 1. cov(y, x) = The residuals are 9/38, 15/38, and 6/38, and the rss is 9/38: in the following data, cov(x, y ) = 0. 3( 1 u/3) + 0(1 u/3) 3(u u/3) = 0. Simplifying yields u = 1: suppose we observe the following bivariate data: i xi yi.
