The Lines of Regression Intersect at the Point?

By Manesh Singh|Updated : July 27th, 2022

Regression is a handy and essential tool in statistical analysis. It explains the nature of the relationship between two variables. In addition, regression analysis can predict the value of a dependent variable based on an independent variable.

Let's describe the two lines first to know the significance of the point of intersection of two regression lines.

The line of regression of y on x is given by:  y-ȳ=byx (x-x‾)

The sequence of regression of x on y is provided by: x-x‾=bxy (y-ȳ)

The correlation coefficient r2=byx*bxy, where by and by are regression coefficients.

The point of intersection of two lines is at (x‾, y‾)

Summary:

The Lines of Regression Intersect at the Point?

The point of intersection of regression lines gives the mean. This is because the two lines coincide and pass-through this common point. Therefore, this is the solution for both equations. Hence, the end of the intersection of regression lines is (x‾, y‾), that is, the mean.

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The Lines of Regression Intersect at the Point FAQs

  • The point at which regression lines intersect gives the solution for both question equations.

  • The solution to the regression equation on the graph is by the (x‾, y‾).

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