STAT331 Lecture Notes - Lecture 2: Random Variable, Test Statistic, Sampling Distribution

• School: University of Waterloo
• Department: Statistics
• Course: STAT331
• Professor: Kun Liang

Document Summary

2. (a) using the de nition of matrix derivative to show that if y = x t a then y. X = a, where x and y are vectors and a is a matrix. and if y = ax, then y. It contains ve variables: sex: 0=male, 1=female, status: socioeconomic status score based on parents" occupation, income: in pounds per week, verbal: verbal score in words out of 12 correctly de ned, gamble: expenditure on gambling in pounds per year. We conduct a multiple regression analysis with expenditure on gambling as the response variable and all the other variables as explanatory variables. The summary from our analysis by using r is shown below. You are also given f0. 05(4, 42) = 2. 594263 and fol- lowing t ,df values t ,df df = 0. 10 = 0. 05 = 0. 025 = 0. 01. 2 dence interval. (d) suppose a new teenager with the following values arrived: sex=0, status=80, income=0. 4, and verbal=12.