MA5832 - Optimisation In Realm Of Machines Learning - IT/Computer Science Assignment Help

Assignment Task -

Overview 

This assessment aims to assess students’ understanding on the topics covered in week 2. It addresses the following learning outcome(s):

1. understanding the roles of linear algebra, probability theory and optimisation in the realm of machines learning; 
2. understanding algorithms underpinning various optimisation methods; 
3. applying and implementing concepts in linear algebra, probability theory and optimisation using R.

Question 1  A survey of holiday accommodation in New Zealand shows that in Auckland, excluding caravan parks and camping grounds, 40% were full (i.e. had no vacancies). A random sample of 25 holiday accommodation facilities (of the same capacity) in Auckland is selected at random. Assume the probability that a particular holiday accommodation facility is full is 0.40. 

(a) What is the probability that at most 10 of these are full? 

(b) What is the probability that no more than 15 of these are full? 

(c) What is the probability that less than one quarter of them are full? Demonstrate your understanding in the answers.

Question 2 In this question, we consider the marketing dataset from datarium package in R.

• install.packages("datarium") 
• library(datarium) 
• data(marketing) 

The data contains 200 observations and 4 variables. The response variable is sales, denoted as Y . The explanatory variables—measured in thousands of dollars—are advertising budget spent on youtube, newspapers and facebook, respectively, which are denoted as X1, X2 and X3, respectively.

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