# When will regression coefficient equal correlation in multiple regression? [closed]

For the following

$$Y = B_0 + B_1X_1 + B_2X_2,$$

when will $B_1$ be equal to the correlation between $Y$ and $X_1$?
When will $B_2$ be equal to the correlation between $Y$ and $X_2$?
Why?

• If this is "homework" you should read stats.stackexchange.com/tags/self-study/info. – Carl Dec 4 '16 at 4:20
• – Paul Dec 4 '16 at 5:07
• @Paul Thank you for finding that thread. There may be a subtle difference, though: it concerns estimated coefficients whereas in the present case the question might be about the model coefficients. – whuber Dec 4 '16 at 19:13