Description
There are a total of 4 (four) multi-part questions, with point values noted for each question.
Please show your calculations, or the details of your program(s), for each problem. Your program(s) should be commented so that each step is clearly explained.
Combine all of your answers/files into a single zipped file and post the zipped file.
Problems #1 and #2
Using an “Addiction” dataset, a researcher has prepared the following table of patient counts:
| Ethnicity | Age Category | Alcohol | Cocaine | Heroin | Row Total |
| Black | Old | 30 | 48 | 17 | 95 |
| Young | 25 | 72 | 13 | 110 | |
| Hispanic | Old | 7 | 0 | 5 | 12 |
| Young | 8 | 7 | 19 | 34 | |
| White | Old | 60 | 2 | 17 | 79 |
| Young | 26 | 10 | 34 | 70 | |
| Column Total | 156 | 139 | 105 | 400 |
Use the table above and Excel to classify patient addiction type (alcohol, cocaine, heroin) using Ethnicity and Age Category:
- Construct a classification and regression tree (CART) (two levels only). (35 Points)
- Construct a C4.5 decision tree (two levels only). (30 Points)
3) Use R/python to cluster (Algorithm=K-means; K=2) the seven (7) already normalized points in the accompanying table and answer a and b below: (20 points)
| X | Y | Z | |
| a | 1 | 1 | 1 |
| b | 5 | 3 | 4 |
| c | 4 | 4 | 5 |
| d | 4 | 3 | 4 |
| e | 1 | 2 | 1 |
| f | 4 | 4 | 4 |
| g | 2 | 1 | 2 |
- What are the members of each cluster?
- What are the coordinates for the cluster centers?
4) Using data in the table below, construct a Neural Network with one Output Layer (z) and one Hidden Layer (A and B). Calculate the predicted outcome if the inputs to the input nodes are (x=1, Node 1=.4, Node 2=.7 Node 3= .7 and Node 4=.2). (15 points)
| From | To | Weight |
| X | A | 0.5 |
| Node 1 | A | 0.6 |
| Node 2 | A | 0.8 |
| Node 3 | A | 0.6 |
| Node 4 | A | 0.2 |
| x | B | 0.7 |
| Node 1 | B | 0.9 |
| Node 2 | B | 0.8 |
| Node 3 | B | 0.4 |
| Node 4 | B | 0.2 |
| xx | z | 0.5 |
| A | z | 0.9 |
| B | z | 0.9 |
