How do you calculate the coefficient of determination (R^2) in a simple linear regression model?
How do you calculate the coefficient of determination (R^2) in a simple linear regression model?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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How do you calculate the coefficient of determination (R^2) in a simple linear regression model?
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Introduction :The coefficient of determination, denoted by R^2, is a statistical measure used in regression analysis to assess the goodness of fit of a regression model. It provides a summary of the proportion of variability in the response variable that is explained by the predictor variable(s). In simple linear regression, the coefficient of determination can be calculated by dividing the sum of squared errors (SSE) by the total sum of squares (SST). The resulting value ranges from 0 to 1, with a value of 1 indicating that the regression line perfectly fits the data, and a value close to 0 indicating that the regression line does not fit the data well.
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