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kompoz [17]
2 years ago
9

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
Mathematics
1 answer:
Rom4ik [11]2 years ago
6 0

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

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