What does the term 'residual' mean in linear regression?Review LaterDifference between an observed value and its corresponding predicted valueThe slope of the regression lineA variable that is not included in the modelThe intercept of the regression line
Question
What does the term 'residual' mean in linear regression?Review LaterDifference between an observed value and its corresponding predicted valueThe slope of the regression lineA variable that is not included in the modelThe intercept of the regression line
Solution
In the context of linear regression, the term 'residual' refers to the difference between an observed value and its corresponding predicted value. In other words, it is the error term that represents the discrepancy between the actual data point and the point predicted by the regression model. It is not the slope of the regression line, a variable that is not included in the model, or the intercept of the regression line.
Similar Questions
The slope of a regression line represents:a.The average change in the dependent variable for a unit change in the independent variableb.The intercept of the regression linec.The correlation coefficient between the variablesd.The residual value in regression analysis
A regression line has intercept = 2 and slope = 9. What is the residual for the observation (x,y) = (8,76.1)?
What does it mean to say that a data point has a residual of 1?A.The point lies 1 unit above the regression line.B.The point lies 1 unit below the regression line.C.The point lies directly on the regression line.D.The x-coordinate of the point is 1.
What is a residual? When is a residual negative?
What is the purpose of residual analysis in linear regression?(1 Point)a) To calculate the R-squared value.b) To determine the best-fit line.c) To assess the model's assumptions and identify potential problems.d) To find the p-values for the coefficients.
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