# Can I average out a constant (intercept) in OLS regression?

I have a OLS regression in the form:

$$Y_t=\alpha +\beta X_{t-1}+\varepsilon_{t}$$

Can I average out the constant during the OLS estimation/derivation and report,

$$y_t=\beta X_{t-1}+\varepsilon_{t}$$

Could I explain this as "I have averaged out the constant during the OLS procedure?"

So the intercept is there, the estimation procedure I use (code I have) averages it out, is there some correct technical jargon for this?

• Did you mean centre the data before running the regression? – Huy Pham Dec 12 '18 at 11:59
• Yes, I did!!!!!!!!!!!!!!! – Zarina Akhtar Dec 12 '18 at 12:02
• See the third answer in stats.stackexchange.com/questions/201919/… – Christoph Hanck Dec 12 '18 at 12:30
• @ZarinaAkhtar so i mean, unless I'm missing something, that's what it's called. You mean centred the data so the intercept=0. Your residuals should still be ok. – Huy Pham Dec 12 '18 at 13:30