Which of the following are true assumptions underlying linear regression? (1)For each value of X,there is a group of Y values that 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. (1) For each value of X, there is a group of Y values that 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. These assumptions are necessary for the linear regression model to be valid and for accurate interpretation of the results.

Which of the Following Are True Assumptions Underlying Linear Regression