# show that R square is zero

• Oct 31st 2012, 04:29 PM
wopashui
show that R square is zero
A two-variable regression with no intercept is given as:

$Y_i=B_2X_i+u_i$

Show that the R-squared ( $R^2$) for this model is equal to zero.

I think I should show that the covariance of X and Y are zero?
• Oct 31st 2012, 05:16 PM
chiro
Re: show that R square is zero
Hey wopashui.

There are quite a few formulas for R^2 and covariance would indeed be one way to show this.
• Oct 31st 2012, 06:47 PM
wopashui
Re: show that R square is zero
Quote:

Originally Posted by chiro
Hey wopashui.

There are quite a few formulas for R^2 and covariance would indeed be one way to show this.

I can't end up getting zero by using the covariance, can you show me some steps of approaching this?
• Oct 31st 2012, 06:51 PM
chiro
Re: show that R square is zero
What information do you have about the model and its constraints?
• Nov 1st 2012, 08:29 PM
shuipawo
Re: show that R square is zero
Econ 4706?
• Nov 1st 2012, 09:49 PM
chiro
Re: show that R square is zero
No I mean the actual course material you are covering (specific topics, concepts, stuff like that).

I have no idea what that course is.