X Never won gold Won at least one gold Total in the past X = 0 in the past X = 1 Y = 0 15 No gold in 2015 At least one gold in 2015 Y = 1 Total 10 Y 20 20 30 35 Table 1: Distribution of countries who have won gold medals at the African Games In 2019 the African Games will be held in Morocco. In anticipation of the event, a group of researchers would like to know whether past success at the Games predicts the number of gold medals that countries bring home. They collect the data for the 35 countries that participated in the 2015 African Games to answer this question." 1. Formally define an experiment and explain why the data tries cannot constitute an experiment. om the 35 coun- 2. Table 1 above shows the joint distribution of winning a gold medal in the past (before 2015) (X), and in 2015 (Y). (a) Use this information to calculate the following conditional expectations. i. Ε(Υ |Χ 0) ii. E(Y|X = 1) (b) Suppose you were interested in estimating the linear regression function E(Y|X) = Bo + BịX. Use your results in question 2(a) to find an estimate of the slope coefficient (B1).

X Never won gold Won at least one gold Total in the past X = 0 in the past X = 1 Y = 0 15 No gold in 2015 At least one gold in 2015 Y = 1 Total 10 Y 20 20 30 35 Table 1: Distribution of countries who have won gold medals at the African Games In 2019 the African Games will be held in Morocco. In anticipation of the event, a group of researchers would like to know whether past success at the Games predicts the number of gold medals that countries bring home. They collect the data for the 35 countries that participated in the 2015 African Games to answer this question." 1. Formally define an experiment and explain why the data tries cannot constitute an experiment. om the 35 coun- 2. Table 1 above shows the joint distribution of winning a gold medal in the past (before 2015) (X), and in 2015 (Y). (a) Use this information to calculate the following conditional expectations. i. Ε(Υ |Χ 0) ii. E(Y|X = 1) (b) Suppose you were interested in estimating the linear regression function E(Y|X) = Bo + BịX. Use your results in question 2(a) to find an estimate of the slope coefficient (B1).

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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