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e_0
2012 Jun 28
0
How to calculate Confidence Interval for a prediction using Partial Regression?
...g2)
- I regressed e_y to e_x (reg5)
It looks like this:
y = a_0 + a_1 A (reg1)
x = b_0 + b_1 A (reg2)
e_y = y - (a_0 + a_1 A) (3)
e_x = x - (b_0 + b_1 A) (4)
e_y = beta_0 + beta_1 e_x (reg5)
Then, to predict a y_0 from a new x_0 and A_0, we would:
Calculate e_x0 with the equation (4). Calculate e_y0 with the equation
(reg5) and then:
y_0 = e_y0 + (a_0 + a_1 A_0)
Now, I would like to know how different in Area (A) must be two new
observations with the same x_0 value to have different predicted y_0
values. Right now, the only way I can see to find that is to calculate a
Confidence Interval for...