In the simple linear regression model, Y = $\alpha$ + $\beta$X + e,
A)the errors are assumed to be as likely to occur above the line as below the line.
B)the errors are assumed to be more likely to occur above the line than below it.
C)the errors are assumed to be more likely to occur below the line than above it.
D)it is assumed that the error is larger for larger values of X.
E)it is assumed that the error is smaller for larger values of X.

Question

Quizplus · Accepted Answer

In the simple linear regression model, the errors are assumed to be normally distributed and have a mean of zero. Therefore, they are equally likely to occur above or below the regression line.

In the Simple Linear Regression Model, Y = α\alphaα β\betaβ X + E, A)the Errors Are Assumed to Be as \beta

In the Simple Linear Regression Model, Y = $\alpha$ $\beta$ X + E,
A)the Errors Are Assumed to Be as \beta