Which of the following are true assumptions underlying linear regression? 1) For each value of X, there is a group of Y values which is normally distributed. 2) The means of these normal distributions of Y values all lie on the regression line. 3) The standard deviations of these normal distributions are equal.
A) Only (1)
B) Only (2)
C) Only (3)
D) All of them

Question

Quizplus · Accepted Answer

All three assumptions are true underlying linear regression. The first assumption is that for each value of X, there is a group of Y values which is normally distributed. The second assumption is that the means of these normal distributions of Y values all lie on the regression line. Finally, the third assumption is that the standard deviations of these normal distributions are equal. These assumptions are necessary to accurately model the relationship between X and Y with a linear regression model.

Which of the Following Are True Assumptions Underlying Linear Regression