I have a dataset which has 4 fields as below:
Day Category #people #Rank
2011-01-01 A 100 10
2011-01-01 B 120 12
2011-01-02 A 50 13
2011-01-02 C 122 42
2011-01-02 D 20 20
... ... ... ....
In the category filed I have 10 category then I want to model the relationship between the Category and number of people.
I have used Multiple linear regression on the category filed but the R2 is so small after I remove the variables using backward elimination technique. Could you please suggest me what is a best approach? Shall I consider the time series?