Which of the following sample statistics influences the sign of the slope coefficient in the simple linear regression (of Y on X)?
A) sVar(X)
B) sVar(Y)
C) sCov(X,Y)
D) $\bar { X }$

Question

Quizplus · Accepted Answer

The sample covariance of X and Y (sCov(X,Y)) influences the sign of the slope coefficient in simple linear regression. If sCov(X,Y) is positive, then the slope coefficient will also be positive, indicating a positive relationship between X and Y. If sCov(X,Y) is negative, then the slope coefficient will be negative, indicating a negative relationship between X and Y. The other sample statistics listed (sVar(X), sVar(Y), and $\bar { X }$) do not directly influence the sign of the slope coefficient.

Which of the Following Sample Statistics Influences the Sign of the Slope