Regression on residuals > Interpret ?
Posted: Fri Feb 02, 2018 5:28 am
Hi all,
I am trying to understand the following scenario
Step 1 :
I estimate the following equation with Least Squares (based on excel file data)
Y = bo + b1 X1 + b2 X2 ==>
Y = 12.354268 + 0.146640 X1 -0.414723 X2
Step 2 :
I estimate the equation
X1 = c0 + c1 X2 ==>
X1 = 29.4521 + -3.5499 X2
I keep the resids in a variable resids
Step 3 :
I estimate the equation
Y = d0 + d1 resids ==>
Y = 15.33727 + 0.14664 resids
Why the coefficient b2 = d1 ?
Thanks in advance
I am trying to understand the following scenario
Step 1 :
I estimate the following equation with Least Squares (based on excel file data)
Y = bo + b1 X1 + b2 X2 ==>
Y = 12.354268 + 0.146640 X1 -0.414723 X2
Step 2 :
I estimate the equation
X1 = c0 + c1 X2 ==>
X1 = 29.4521 + -3.5499 X2
I keep the resids in a variable resids
Step 3 :
I estimate the equation
Y = d0 + d1 resids ==>
Y = 15.33727 + 0.14664 resids
Why the coefficient b2 = d1 ?
Thanks in advance