A chain of clothing stores wants do develop a model that can predict sales based the store's location. A sample of past December sales in the four stores is given below
| Store | 2011 | 2010 | 2009 | 2008 | 2007 | 
| 1 | 31 | 41 | 39 | 36 | 32 | 
| 2 | 24 | 31 | 34 | 28 | 23 | 
| 3 | 54 | 60 | 57 | 52 | 62 | 
| 4 | 34 | 42 | 40 | 46 | 47 | 
1. How many independent variables are needed in this problem?
2. Identify the coding scheme (introduce dummy variables and define them).
3. Propose a model that can show this relationship.
4. Fit the model to the data of the problem.
5. Make interpretation of all coefficients in the problem.
6. Graph the model.