Solved – Using days of the week in regression

regression

I am trying to recreate what my predecessor has done, with the only knowledge being he used "regression."

I'm predicting my dependent variable based on the day of the week, but also on two other quantitative variables. I initially intended to use indicator variables for the week day, but then remembered that I will not be able to get a coefficient for each of the seven days, though my predecessor was able to somehow get a model with coefficients for all of Sunday-Saturday.

Is there another way I can tackle this problem, or is this method the best way? Is there a method I can use to get separate coefficients for each day of the week?

Best Answer

I would guess that he did not include an intercept in his model, which allows you to identify all seven day-of-week coefficients. In any case, the model with an intercept and six day-of-week coefficients gives the same results, when appropriately calculated, as a model with seven day-of-week dummies. See a related derivation here.

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