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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?

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