# Thread: Linear Regression Without intercept ?

1. ## Linear Regression Without intercept ?

hello i m little confuse i want to know that when its is suitable to use regression without intercept ? Any advantage over using linear regression with intercept ?

2. ## Re: Linear Regression Without intercept ?

in theory, people will say that if in your regression equation the value of your predictors = 0 implies that your dependent variable should also = 0 then removing the intercept would make sense...

in reality, removing the intercept tends to bias your results in one way or another because you're forcing the regression to go where you want it in a rather arbitrary way... because, if you think about it, you should leave the data to speak for itself and if it includes the point (0,0) (in the bivariate regression case, please feel free to add as many coordinates as you want) then so be it but if there is no (0,0) point in the collected data to begin with, why force the regression line to include a point that was not observed?

i think (well, better say "hope") that the general consensus is that the intercept should never be removed from the regression equation..

3. ## Re: Linear Regression Without intercept ?

Originally Posted by spunky
in theory, people will say that if in your regression equation the value of your predictors = 0 implies that your dependent variable should also = 0 then removing the intercept would make sense...

in reality, removing the intercept tends to bias your results in one way or another because you're forcing the regression to go where you want it in a rather arbitrary way... because, if you think about it, you should leave the data to speak for itself and if it includes the point (0,0) (in the bivariate regression case, please feel free to add as many coordinates as you want) then so be it but if there is no (0,0) point in the collected data to begin with, why force the regression line to include a point that was not observed?

i think (well, better say "hope") that the general consensus is that the intercept should never be removed from the regression equation..
correct me if I am wrong
if I say that average of dependent variable almost approx. (Ybar=0 )then it is better to use regression without intercept ?

4. ## Re: Linear Regression Without intercept ?

Originally Posted by wahibr
if I say that average of dependent variable almost approx. (Ybar=0 )then it is better to use regression without intercept ?

mmmmhh... no.

5. ## Re: Linear Regression Without intercept ?

That's not right. If ybar=0 and xbar=0 then the estimated intercept will be 0 but just because ybar is 0 doesn't mean that you shouldn't include an intercept.

6. ## Re: Linear Regression Without intercept ?

i've never done regression without intercept in practice (but i know it's wrong) however (in the bivariate case), doesnt remove the intercept implies you're forcing it to go through the (0,0) point?

7. ## Re: Linear Regression Without intercept ?

wait... i stand corrected.... removing the intercept also changes the slope of the line... oh god! rookie mistake!

8. ## Re: Linear Regression Without intercept ?

Yeah. It's just not a good idea ever in my opinion. I think I wrote a post which had some example data at one point. I liked it. I should try to find it...

9. ## Re: Linear Regression Without intercept ?

And here it is...

10. ## Re: Linear Regression Without intercept ?

thanks Dason the example helps me a lot

11. ## Re: Linear Regression Without intercept ?

The question was asked by my professor i found two more results

1) Removing the intercept R-square of the model increase

2) F-Ratio of the model increased too.

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