# Linear Regression Equation

• May 31st 2006, 06:16 PM
tdvc006
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
• Jun 12th 2006, 10:26 PM
CaptainBlack
Quote:

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 \$\displaystyle R^2=1\$

RonL