1. ## Linear Regression Equation

I have a question that I'm stuck on and was wondering if someone could help out:

For a simple linear regression equation to be a perfect estimator of the dependent variable, which of the following has/have to be true?

a. The standard error of the estimate is zero
b. All the data points are on the regression line
c. The coefficient of determination is -1
d. a and b but not c
e. a and b and c

2. Originally Posted by tdvc006
I have a question that I'm stuck on and was wondering if someone could help out:

For a simple linear regression equation to be a perfect estimator of the dependent variable, which of the following has/have to be true?

a. The standard error of the estimate is zero
b. All the data points are on the regression line
c. The coefficient of determination is -1
d. a and b but not c
e. a and b and c
d - since a perfect estimator will have $R^2=1$

RonL