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?

Question

Mathematics

Weston Morgan

18 May, 06:07

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?

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Sofia · Answer 1

The Y-intercept value for the regression equation is - 2

Step-by-step explanation:

The linear regression has the form: y = a + b*x, where a is the Y-intercept and b is the slope. To find the a compute the following:

a = MY - b*MX

where MX and MY denotes mean for the X and the Y respectively. Replacing:

a = 6 - 4*2 = - 2