SECTION A: DISCUSSION QUESTIONS

1- Explain the confusion matrix in classification methods and explain how you interpret the results in such example and make the decision on s which containers need to be selected at ports for a full inspection (for custom check)? (3 marks).

2- Give two practical examples on applications of classification methods in your discipline. Provide detail explanations. You need to explain why you think classification can be used in those cases, you do not need to provide data or solve them. (2 marks).

3- Give two examples related to your discipline that you need to apply over sampling partitioning before building the model. You need to provide detail explanations (5 marks).

4- Assume one of the explanatory variable (named X1) in your logistic regression is a categorical variable with the following levels: low, average and high, and another explanatory variable (named X2) is also categorical with the following levels: Sydney and Melbourne. Explain how you will use them in developing your logistic regression model. How many coefficients you will have in your final model? (6 marks).

SECTION B: QUANTITATIVE QUESTIONS

5- There are 500 client records in the first worksheet of the Excel file (provided for this assessment) who have shopped many special products from an e-Business website. Each record includes data on types of product purchased (between 1-5), purchase amount ($), age, gender, family size of the customer, whether the client has a membership and whether the customer has a discount card.

a) Explain the steps that you will take to develop a model to predict which customers in future will spend over $800. (Write your answer as: Step 1-… Step 2- … and so on. You don’t need to write or run any R code). (8 marks)

b) Develop a predictive model to predict the spend amount of a new male customer with age of 30 who is living in a family with size 2 and is not a member and hold a discount card type 2. (6 marks)

6- A company provides maintenance service for washing machines in Victoria. The collected data are presented in the Excel file (second worksheet).

a) Assume the manager asked you to analyse the data and provide him some insights and recommendations. The report should not exceed 2 pages. (8 marks)

b) Build a multiple regression model to predict the repair time for a future booking service than needs to be done by John and it is an Electrical repair. Do you suggest this service to be assigned to the morning shift or afternoon shift? (6 marks)

c) What other data you recommend to the manger to be added into this dataset in future for better analysis and what kind of analysis you think will be useful based on them. (4 marks)

7- In worksheet 3, a dataset from blood bank is presented. The data are recorded for apheresis blood donation made by a group of donors of a period of time. The donor ID is unique for each donor. A donor might have donated more than once in this period. At each donation, the blood total protein level of the donor has been recorded. Use the dataset to answer the following questions:

a) There are some missing values for blood type. Think how you can fill in the missing values. Explain your approach (step by step) and also apply your approach and try to fill the missing value as much as possible in. (save the results in an Excel worksheet in and name it Question 3 Part a.) (4 marks)

b) Calculate the average of total protein for each blood type. Explain your approach (step by step). Report them in a worksheet and name it Question 3 Part b. (2 marks)

c) Calculate the range of total protein for each blood type. Explain your approach (steps by step). Report them in a worksheet and name it Question 3 Part c. (5 marks)

d) Is total protein declining by age? (2 marks)

e) Present two best visualisation tool for this data that you think provide useful information? (4 marks)

8- The data presented in worksheet 4 is the results of a 4-year study conducted to assess how age, weight, and gender influence the risk of diabetes. Risk is interpreted as the probability (times 100) that the patient will have diabetes over the next 4-year period.

a) What predictive model you suggest to relate risk of diabetes to the person’s age, weight and the gender. Why? (you don’t need to build the model just explain). (4 marks)

b) Develop an estimated multiple regression model that relates the expected remaining life to the person’s age, weight, gender, life style and risk of diabete. Present the regression formula as a mathematical equation. Interpret the coefficients of the regression and comment on the strength of the regression. (4 marks)

c) What is the expected remaining life for a 59-year-old man living in a small town with 72 kg weight and risk of 25% of diabete? (4 marks)

9- Matthew has a new job as business analyst. He plans to invest 10 percent of his annual salary after the tax into a retirement account at the end of every year for the next 30 years. Suppose that annual return of the investment is 6%, and his current salary before tax is 90k which grow 3% per year. The tax will apply as 15% on the salary up to 50k and it is 20% for the salary interval of 50k and 80k and the tax rate will be 25% for the remaining salary more than 80k (for example if his salary will be 105k, he is paying 15% tax on his first 50k and 20% in the next 30 k and 25% on his next 25k of his salary). then:

a) Create a spreadsheet which shows Matthew the balance of retirement account for various levels of annual investments and returns. (3 marks)

b) If Matthew aims to gain $1,000,000 at the end of the 30th year, what percentage of his salary he should put in the investment annually. (3 marks)

10- Suppose that the minimum number of security staff required at different hours are at the ith hour (i=1,2,…,24) are outlined as follows:

Hour beginning at 12am 1 2 3 4 5 6 7 8 9 10 11 12

Number of staff required 5 4 4 4 4 6 6 6 8 8 8 8 5

Hour beginning at 13 14 15 16 17 18 19 20 21 22 23 24

Number of staff required 5 5 5 8 8 8 9 10 10 10 10 8

Each staff must work in 6 consecutive hours. The salary per hour is $35. Determine how many staff should start working at the beginning of ith hour to minimize the total cost:

a) Formulate the problem as a linear programming model. Write down the model and explain it.

b) Solve the model in Excel and present the results and interpret them.

c) If it is possible to ask a staff to stay extra 2 hours with salary of $45 per hour. Formulate the problem, write the mathematical model and explain it.

d) Solve the model written in part c and explain the solution.

1- Explain the confusion matrix in classification methods and explain how you interpret the results in such example and make the decision on s which containers need to be selected at ports for a full inspection (for custom check)? (3 marks).

2- Give two practical examples on applications of classification methods in your discipline. Provide detail explanations. You need to explain why you think classification can be used in those cases, you do not need to provide data or solve them. (2 marks).

3- Give two examples related to your discipline that you need to apply over sampling partitioning before building the model. You need to provide detail explanations (5 marks).

4- Assume one of the explanatory variable (named X1) in your logistic regression is a categorical variable with the following levels: low, average and high, and another explanatory variable (named X2) is also categorical with the following levels: Sydney and Melbourne. Explain how you will use them in developing your logistic regression model. How many coefficients you will have in your final model? (6 marks).

SECTION B: QUANTITATIVE QUESTIONS

5- There are 500 client records in the first worksheet of the Excel file (provided for this assessment) who have shopped many special products from an e-Business website. Each record includes data on types of product purchased (between 1-5), purchase amount ($), age, gender, family size of the customer, whether the client has a membership and whether the customer has a discount card.

a) Explain the steps that you will take to develop a model to predict which customers in future will spend over $800. (Write your answer as: Step 1-… Step 2- … and so on. You don’t need to write or run any R code). (8 marks)

b) Develop a predictive model to predict the spend amount of a new male customer with age of 30 who is living in a family with size 2 and is not a member and hold a discount card type 2. (6 marks)

6- A company provides maintenance service for washing machines in Victoria. The collected data are presented in the Excel file (second worksheet).

a) Assume the manager asked you to analyse the data and provide him some insights and recommendations. The report should not exceed 2 pages. (8 marks)

b) Build a multiple regression model to predict the repair time for a future booking service than needs to be done by John and it is an Electrical repair. Do you suggest this service to be assigned to the morning shift or afternoon shift? (6 marks)

c) What other data you recommend to the manger to be added into this dataset in future for better analysis and what kind of analysis you think will be useful based on them. (4 marks)

7- In worksheet 3, a dataset from blood bank is presented. The data are recorded for apheresis blood donation made by a group of donors of a period of time. The donor ID is unique for each donor. A donor might have donated more than once in this period. At each donation, the blood total protein level of the donor has been recorded. Use the dataset to answer the following questions:

a) There are some missing values for blood type. Think how you can fill in the missing values. Explain your approach (step by step) and also apply your approach and try to fill the missing value as much as possible in. (save the results in an Excel worksheet in and name it Question 3 Part a.) (4 marks)

b) Calculate the average of total protein for each blood type. Explain your approach (step by step). Report them in a worksheet and name it Question 3 Part b. (2 marks)

c) Calculate the range of total protein for each blood type. Explain your approach (steps by step). Report them in a worksheet and name it Question 3 Part c. (5 marks)

d) Is total protein declining by age? (2 marks)

e) Present two best visualisation tool for this data that you think provide useful information? (4 marks)

8- The data presented in worksheet 4 is the results of a 4-year study conducted to assess how age, weight, and gender influence the risk of diabetes. Risk is interpreted as the probability (times 100) that the patient will have diabetes over the next 4-year period.

a) What predictive model you suggest to relate risk of diabetes to the person’s age, weight and the gender. Why? (you don’t need to build the model just explain). (4 marks)

b) Develop an estimated multiple regression model that relates the expected remaining life to the person’s age, weight, gender, life style and risk of diabete. Present the regression formula as a mathematical equation. Interpret the coefficients of the regression and comment on the strength of the regression. (4 marks)

c) What is the expected remaining life for a 59-year-old man living in a small town with 72 kg weight and risk of 25% of diabete? (4 marks)

9- Matthew has a new job as business analyst. He plans to invest 10 percent of his annual salary after the tax into a retirement account at the end of every year for the next 30 years. Suppose that annual return of the investment is 6%, and his current salary before tax is 90k which grow 3% per year. The tax will apply as 15% on the salary up to 50k and it is 20% for the salary interval of 50k and 80k and the tax rate will be 25% for the remaining salary more than 80k (for example if his salary will be 105k, he is paying 15% tax on his first 50k and 20% in the next 30 k and 25% on his next 25k of his salary). then:

a) Create a spreadsheet which shows Matthew the balance of retirement account for various levels of annual investments and returns. (3 marks)

b) If Matthew aims to gain $1,000,000 at the end of the 30th year, what percentage of his salary he should put in the investment annually. (3 marks)

10- Suppose that the minimum number of security staff required at different hours are at the ith hour (i=1,2,…,24) are outlined as follows:

Hour beginning at 12am 1 2 3 4 5 6 7 8 9 10 11 12

Number of staff required 5 4 4 4 4 6 6 6 8 8 8 8 5

Hour beginning at 13 14 15 16 17 18 19 20 21 22 23 24

Number of staff required 5 5 5 8 8 8 9 10 10 10 10 8

Each staff must work in 6 consecutive hours. The salary per hour is $35. Determine how many staff should start working at the beginning of ith hour to minimize the total cost:

a) Formulate the problem as a linear programming model. Write down the model and explain it.

b) Solve the model in Excel and present the results and interpret them.

c) If it is possible to ask a staff to stay extra 2 hours with salary of $45 per hour. Formulate the problem, write the mathematical model and explain it.

d) Solve the model written in part c and explain the solution.

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