Question

Which of the folloiwng properities of teh least squares estimators of the mode's constants Select all that apply.

The mean of them is O.
The errors are distributed exponentially
They are unbiased.
The errors are independent.

Answer 1

The least squares estimators of the model's constants are unbiased, have errors that are independent, and have a mean of 0.

Step-by-step explanation:

The least squares estimators of the model's constants have the following properties:

1. They are unbiased: The least squares estimators are unbiased, meaning that on average, they provide an estimate that is equal to the true value of the parameter being estimated.
2. The errors are independent: The assumption in linear regression is that the errors or residuals are independent of each other. This means that the value of one error does not depend on the value of another error.
3. The mean of them is 0: The least squares estimators are chosen in such a way that their mean is equal to 0. This ensures that the estimated line passes through the center of the data points.