Choose the statement that is true about the estimators for the slope and intercept of a regression line. Assume the conditions of the linear model hold. If all statements are true, then choose (d).
A)The estimators of the slope and intercept of a regression line are unbiased.
B)The sampling distributions of the estimators will follow the Normal distribution if the Normal condition of the error terms is met.
C)The sampling distributions of the estimators will be approximately Normal if the Normal condition of the error terms is not met but the sample size is large.
D)All of the above are true.

Question

Quizplus · Accepted Answer

All the statements are true about the estimators for the slope and intercept of a regression line under the conditions specified. A) Estimators are unbiased, meaning on average, they equal the true parameter values. B) If error terms are normally distributed, the sampling distributions of the estimators will also follow a Normal distribution. C) Even if error terms are not normally distributed, the sampling distributions of the estimators will be approximately Normal for large sample sizes due to the Central Limit Theorem.

Choose the Statement That Is True About the Estimators for the Slope