Bi-linear Regression- Model fitting

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saed
saed on 12 Aug 2014
Answered: Image Analyst on 18 Jan 2021
Hi every body I simply have a response variable (y) that I am trying to predict with one explanatory variable (x) but the shape of the scatter plot is distinctly bi-linear. It would be best described by two straight lines. Is there a way of fitting a linear model to give me a bi-linear fit? Is there any command in Matlab for this kind of regression?

Answers (3)

Image Analyst
Image Analyst on 18 Jan 2021
See attached demo, that I've posted many, many times before. The algorithm is I divide the data into two sections (left and right) and fit lines to each section. Then I find the point where the slope difference is greatest. This is where the data should be split.

Ahmet Cecen
Ahmet Cecen on 12 Aug 2014
That sounds like a problem that would be better solved with a clustering or classification tool rather than regression. If you really need the individual lines, I would first do a classification run followed by linear regression.

Ameer Hamza
Ameer Hamza on 18 Jan 2021
bisection method

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