Question

A set of X and Y scores has a regression equation with a slope of b = 4. If the mean for the X values is MX = 2 and the mean for the Y values is MY = 6, what is the Y-intercept value for the regression equation?​

-2
-22
4
-4

Answer 1

Answer:

-2

Step-by-step explanation:

In a linear regression model we have the equation $Y = b_{1}X + b_{0}$ that relates $X$ and $Y$, where $b_{1}$ is the estimator of the slope and $b_{0}$ is the estimator of the Y-intercept. The coefficients $b_{1}$ and $b_{0}$ can be estimated with the equations:

$b_{1} = \frac{S_{xy}}{{S^{2}}_{x}}$

$b_{0} = MY-b_{1}MX$. Thus,

$b_{0} = 6 - (4)(2) = -2$